Before full rewrite of orbit calculations
This commit is contained in:
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8e55fe863e
commit
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202
index.html
202
index.html
@ -2,12 +2,210 @@
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<html lang="en">
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<head>
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<meta charset="UTF-8" />
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<link rel="icon" type="image/svg+xml" href="/vite.svg" />
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<link rel="icon" type="image/png" href="/satellite.png" />
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<meta name="viewport" content="width=device-width, initial-scale=1.0" />
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<title>Kerbal calculations</title>
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</head>
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<body>
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<div id="app"></div>
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<h1>Kerbal calculations</h1>
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<table>
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<tr>
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<td colspan="10"><h3>Current time in game:</h3></td>
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</tr>
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<tr>
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<td><label for="dateYear">Year:</label></td>
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<td><input id="dateYear" type="number" min="1" size="2" value="1" /></td>
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<td><label for="dateDay">Day:</label></td>
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<td><input id="dateDay" type="number" min="1" max="424" size="1" value="1" /></td>
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<td><label for="dateHours">Hour:</label></td>
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<td><input id="dateHours" type="number" min="0" max="5" size="1" value="0" /></td>
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<td><label for="dateMinutes">Minute:</label></td>
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<td><input id="dateMinutes" type="number" min="0" max="59" size="1" value="0" /></td>
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<td><label for="dateSeconds">Second:</label></td>
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<td><input id="dateSeconds" type="number" min="0" max="59" size="1" value="0" /></td>
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</tr>
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<tr>
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<td colspan="10">
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<h3>Time to periapsis:</h3>
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</td>
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</tr>
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<tr>
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<td><label for="periapsisYears">Years:</label></td>
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<td><input id="periapsisYears" type="number" min="0" size="2" value="0" /></td>
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<td><label for="periapsisDays">Days:</label></td>
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<td><input id="periapsisDays" type="number" min="0" max="424" size="1" value="0" /></td>
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<td><label for="periapsisHours">Hours:</label></td>
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<td><input id="periapsisHours" type="number" min="0" max="5" size="1" value="0" /></td>
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<td><label for="periapsisMinutes">Minutes:</label></td>
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<td><input id="periapsisMinutes" type="number" min="0" max="59" size="1" value="0" /></td>
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<td><label for="periapsisSeconds">Seconds:</label></td>
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<td><input id="periapsisSeconds" type="number" min="0" max="59" size="1" value="0" /></td>
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</tr>
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</table>
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<h3>Planet:</h3>
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<input type="radio" id="kerbol" name="planet" value="kerbol">
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<label for="kerbol">Kerbol</label>
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<br />
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<input type="radio" id="moho" name="planet" value="moho">
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<label for="moho">Moho</label>
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<br />
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<input type="radio" id="eve" name="planet" value="eve">
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<label for="eve">Eve</label>
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<br />
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<input type="radio" id="gilly" name="planet" value="gilly">
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<label for="gilly">Gilly</label>
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<br />
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<input type="radio" id="kerbin" name="planet" value="kerbin" checked>
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<label for="kerbin">Kerbin</label>
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<br />
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<input type="radio" id="mun" name="planet" value="mun">
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<label for="mun">Mun</label>
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<br />
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<input type="radio" id="minmus" name="planet" value="minmus">
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<label for="minmus">Minmus</label>
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<br />
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<input type="radio" id="duna" name="planet" value="duna">
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<label for="duna">Duna</label>
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<br />
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<input type="radio" id="ike" name="planet" value="ike">
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<label for="ike">Ike</label>
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<br />
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<input type="radio" id="dres" name="planet" value="dres">
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<label for="dres">Dres</label>
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<br />
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<input type="radio" id="jool" name="planet" value="jool">
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<label for="jool">Jool</label>
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<br />
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<h3>Orbital parameters:</h3>
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<table>
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<tr>
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<td><label for="currentPeriapsis">Periapsis (m):</label></td>
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<td><input id="currentPeriapsis" type="number" size="10" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="currentApoapsis">Apoapsis (m):</label></td>
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<td><input id="currentApoapsis" type="number" size="10" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="currentInclination">Inclination (degrees):</label></td>
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<td><input id="currentInclination" type="number" size="10" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="currentLAN">Longitude of ascending node (degrees):</label></td>
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<td><input id="currentLAN" type="number" size="10" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="currentAOP">Argument of peripasis (degrees):</label></td>
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<td><input id="currentAOP" type="number" size="10" value="0.0" /></td>
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</tr>
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</table>
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<h3>What to calculate:</h3>
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<input type="radio" id="coordinates" name="typeOfcalculation" value="coordinates" />
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<label for="coordinates">Calculate coordinates</label>
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<input type="radio" id="simplePlaneChange" name="typeOfcalculation" value="simplePlaneChange" />
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<label for="simplePlaneChange">Simple plane change</label>
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<input type="radio" id="orbitChange" name="typeOfcalculation" value="orbitChange" />
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<label for="orbitChange">Orbit change</label>
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<br />
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<br />
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<div id="coordinatesDiv">
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<button id="calculateCoordinatesButton">Perform calculation</button>
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<table>
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<tr>
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<td><label for="calculatedMeanAnomaly">Mean anomaly:</label></td><td><input id="calculatedMeanAnomaly" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="calculatedEccentricAnomaly">Eccentric anomaly:</label></td><td><input id="calculatedEccentricAnomaly" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="calculatedX">Position X:</label></td><td><input id="calculatedX" type="number" disabled /></td>
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<td><label for="calculatedY">Position Y:</label></td><td><input id="calculatedY" type="number" disabled /></td>
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<td><label for="calculatedZ">Position Z:</label></td><td><input id="calculatedZ" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="calculatedLatitude">Latitude:</label></td><td><input id="calculatedLatitude" type="number" disabled /></td>
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<td><label for="calculatedLongitude">Longitude:</label></td><td><input id="calculatedLongitude" type="number" disabled /></td>
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<td><label for="calculatedPlanetLongitude">Longitude over planet:</label></td><td><input id="calculatedPlanetLongitude" type="number" disabled /></td>
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</tr>
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</table>
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</div>
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<div id="simplePlaneChangeDiv">
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<h3>Target plane:</h3>
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<table>
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<tr>
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<td><label for="targetInclination">Target inclination:</label></td>
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<td><input id="targetInclination" type="number" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="targetLAN">Target longitude of ascending node:</label></td>
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<td><input id="targetLAN" type="number" value="0.0" /></td>
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</tr>
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</table>
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<input type="checkbox" id="circularizeOrbit" /><label for="circularizeOrbit">Circularize orbit</label>
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<br />
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<button id="simplePlaneChangeButton">Perform calculation</button>
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<h3>Choose one of the following manoeuvres:</h3>
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<table>
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<tr>
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<th colspan="2">Manoeuvre 1</th><th colspan="2">Manoeuvre 2</th>
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</tr>
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<tr>
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<td><label for="simpleManoeuvreTime1">Time: </label></td><td><input id="simpleManoeuvreTime1" type="number" disabled /></td>
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<td><label for="simpleManoeuvreTime2">Time: </label></td><td><input id="simpleManoeuvreTime2" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="simpleManoeuvrePrograde1">Prograde acceleration:</label></td><td><input id="simpleManoeuvrePrograde1" type="number" disabled /></td>
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<td><label for="simpleManoeuvrePrograde2">Prograde acceleration:</label></td><td><input id="simpleManoeuvrePrograde2" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="simpleManoeuvreNormal1">Normal acceleration:</label></td><td><input id="simpleManoeuvreNormal1" type="number" disabled /></td>
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<td><label for="simpleManoeuvreNormal2">Normal acceleration:</label></td><td><input id="simpleManoeuvreNormal2" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="simpleManoeuvreRadial1">Radial acceleration:</label></td><td><input id="simpleManoeuvreRadial1" type="number" disabled /></td>
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<td><label for="simpleManoeuvreRadial2">Radial acceleration:</label></td><td><input id="simpleManoeuvreRadial2" type="number" disabled /></td>
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</tr>
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<tr>
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<td><label for="simpleManoeuvreTotal1">Total acceleration:</label></td><td><input id="simpleManoeuvreTotal1" type="number" disabled /></td>
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<td><label for="simpleManoeuvreTotal2">Total acceleration:</label></td><td><input id="simpleManoeuvreTotal2" type="number" disabled /></td>
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</tr>
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</table>
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</div>
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<div id="orbitChangeDiv">
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<h3>Target orbit:</h3>
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<table>
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<tr>
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<td><label for="orbitChangeTargetInclination">Target inclination:</label></td>
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<td><input id="orbitChangeTargetInclination" type="number" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="orbitChangeTargetLAN">Target longitude of ascending node:</label></td>
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<td><input id="orbitChangeTargetLAN" type="number" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="orbitChangeTargetAOP">Target argument of periapsis:</label></td>
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<td><input id="orbitChangeTargetAOP" type="number" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="orbitChangeTargetPeriapsis">Target periapsis:</label></td>
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<td><input id="orbitChangeTargetPeriapsis" type="number" value="0.0" /></td>
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</tr>
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<tr>
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<td><label for="orbitChangeTargetApoapsis">Target apoapsis:</label></td>
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<td><input id="orbitChangeTargetApoapsis" type="number" value="0.0" /></td>
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</tr>
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</table>
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<button id="orbitChangeButton">Find best transfer</button>
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</div>
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<script type="module" src="/src/main.ts"></script>
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</body>
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</html>
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24
package-lock.json
generated
24
package-lock.json
generated
@ -7,11 +7,7 @@
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"": {
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"name": "kerbal-calculations",
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"version": "0.0.0",
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"dependencies": {
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"ts-matrix": "^1.4.1"
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},
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"devDependencies": {
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"typescript": "~5.9.3",
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"vite": "^7.3.1"
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}
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},
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@ -1029,26 +1025,6 @@
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"url": "https://github.com/sponsors/SuperchupuDev"
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}
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},
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"node_modules/ts-matrix": {
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"version": "1.4.1",
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"resolved": "https://registry.npmjs.org/ts-matrix/-/ts-matrix-1.4.1.tgz",
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"integrity": "sha512-huf8zaQF/NackiLsyFiWqX9uyZVGyHCXEmSiWd4/DDuioTlADsO82oA5FOudoKVtZVUDYG4HDzN/jSF2eB7Z7A==",
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"license": "SEE LICENSE IN LICENSE.md"
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},
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"node_modules/typescript": {
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"version": "5.9.3",
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"resolved": "https://registry.npmjs.org/typescript/-/typescript-5.9.3.tgz",
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"integrity": "sha512-jl1vZzPDinLr9eUt3J/t7V6FgNEw9QjvBPdysz9KfQDD41fQrC2Y4vKQdiaUpFT4bXlb1RHhLpp8wtm6M5TgSw==",
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"dev": true,
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"license": "Apache-2.0",
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"bin": {
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"tsc": "bin/tsc",
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"tsserver": "bin/tsserver"
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},
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"engines": {
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"node": ">=14.17"
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}
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},
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"node_modules/vite": {
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"version": "7.3.1",
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"resolved": "https://registry.npmjs.org/vite/-/vite-7.3.1.tgz",
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@ -9,10 +9,6 @@
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"preview": "vite preview"
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},
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"devDependencies": {
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"typescript": "~5.9.3",
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"vite": "^7.3.1"
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},
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"dependencies": {
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"ts-matrix": "^1.4.1"
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}
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}
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BIN
public/satellite.png
Normal file
BIN
public/satellite.png
Normal file
Binary file not shown.
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After Width: | Height: | Size: 19 KiB |
@ -1,4 +1,4 @@
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interface Planet {
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export interface Planet {
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radius: number,
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gravitationalParameter: number,
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rotationPeriod: number,
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@ -6,7 +6,7 @@ interface Planet {
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initialMeridianLongitude: number
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}
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const Kerbol: Planet = {
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export const Kerbol: Planet = {
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radius: 261600000,
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gravitationalParameter: 1.1723328e18,
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rotationPeriod: 432000,
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@ -14,7 +14,7 @@ const Kerbol: Planet = {
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initialMeridianLongitude: 0
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};
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const Moho: Planet = {
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export const Moho: Planet = {
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radius: 250000,
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gravitationalParameter: 1.6860938e11,
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rotationPeriod: 1210000,
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@ -22,7 +22,7 @@ const Moho: Planet = {
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initialMeridianLongitude: 0
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};
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const Eve: Planet = {
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export const Eve: Planet = {
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radius: 700000,
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gravitationalParameter: 8.1717302e12,
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rotationPeriod: 80500,
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initialMeridianLongitude: 0
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};
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const Gilly: Planet = {
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export const Gilly: Planet = {
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radius: 13000,
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gravitationalParameter: 8289449.8,
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rotationPeriod: 28255,
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@ -38,7 +38,7 @@ const Gilly: Planet = {
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initialMeridianLongitude: 0.0859373
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};
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const Kerbin: Planet = {
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export const Kerbin: Planet = {
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radius: 600000,
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gravitationalParameter: 3.5316000e12,
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rotationPeriod: 21549.425,
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initialMeridianLongitude: 1.571261023
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};
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const Mun: Planet = {
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export const Mun: Planet = {
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radius: 200000,
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gravitationalParameter: 6.5138398e10,
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rotationPeriod: 138984.38,
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initialMeridianLongitude: 4.0145103174219114
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};
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const Minmus: Planet = {
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export const Minmus: Planet = {
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radius: 60000,
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gravitationalParameter: 1.7658000e9,
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rotationPeriod: 40400,
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208
src/calculations/mathematics.ts
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208
src/calculations/mathematics.ts
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export function checkIfValidMatrix(matrix: number[][]): boolean {
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if (matrix.length <= 0) {
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return false;
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}
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// Just make sure each row has equally many columns
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var numberOfColumns = -1;
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matrix.forEach(row => {
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if (numberOfColumns == -1) {
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numberOfColumns = row.length;
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}
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if (row.length != numberOfColumns) {
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return false;
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}
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});
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return true;
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}
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export function matrixMultiply(matrixOne: number[][], matrixTwo: number[][]): number[][] {
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if (!checkIfValidMatrix(matrixOne) || !checkIfValidMatrix(matrixTwo)) {
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throw new TypeError("Two valid matrices are required");
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}
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var rowsFirstMatrix = matrixOne.length;
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var colsFirstMatrix = matrixOne[0].length;
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var rowsSecondMatrix = matrixTwo.length;
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var colsSecondMatrix = matrixTwo[0].length;
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if (colsFirstMatrix != rowsSecondMatrix) {
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throw new TypeError("The two matrices do not have the correct dimensions to be multiplied together");
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}
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var result = [];
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for (var i = 0; i < rowsFirstMatrix; i++) {
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var currentRow = [];
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for (var j = 0; j < colsSecondMatrix; j++) {
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var currentResult = 0;
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for (var k = 0; k < colsFirstMatrix; k++) {
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currentResult += matrixOne[i][k] * matrixTwo[k][j];
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}
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currentRow.push(currentResult);
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}
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result.push(currentRow);
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}
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return result;
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}
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export function vectorDotProduct(vectorOne: number[][], vectorTwo: number[][]): number {
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if (!checkIfValidMatrix(vectorOne) || !checkIfValidMatrix(vectorTwo)) {
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throw new TypeError("Two valid matrices are required");
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}
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if (vectorOne[0].length != 1 || vectorTwo[0].length != 1) {
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throw new TypeError("Vectors can only have one column");
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}
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if (vectorOne.length != vectorTwo.length) {
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throw new TypeError("The two vectors need to have the same dimensions");
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}
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var result = 0;
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for (var i = 0; i < vectorOne.length; i++) {
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result += vectorOne[i][0] * vectorTwo[i][0];
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}
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||||
|
||||
return result;
|
||||
}
|
||||
|
||||
export function vectorCrossProduct(vectorOne: number[][], vectorTwo: number[][]): number[][] {
|
||||
if (!checkIfValidMatrix(vectorOne) || !checkIfValidMatrix(vectorTwo)) {
|
||||
throw new TypeError("Two valid matrices are required");
|
||||
}
|
||||
|
||||
if (vectorOne[0].length != 1 || vectorTwo[0].length != 1) {
|
||||
throw new TypeError("Vectors can only have one column");
|
||||
}
|
||||
|
||||
if (vectorOne.length != vectorTwo.length) {
|
||||
throw new TypeError("The two vectors need to have the same dimensions");
|
||||
}
|
||||
|
||||
if (vectorOne.length != 3) {
|
||||
throw new TypeError("The vectors need to be three-dimensional");
|
||||
}
|
||||
|
||||
return [
|
||||
[vectorOne[1][0]*vectorTwo[2][0] - vectorOne[2][0]*vectorTwo[1][0]],
|
||||
[vectorOne[2][0]*vectorTwo[0][0] - vectorOne[0][0]*vectorTwo[2][0]],
|
||||
[vectorOne[0][0]*vectorTwo[1][0] - vectorOne[1][0]*vectorTwo[0][0]]
|
||||
];
|
||||
}
|
||||
|
||||
export function matrixTranspose(matrix: number[][]): number[][] {
|
||||
if (!checkIfValidMatrix(matrix)) {
|
||||
throw new TypeError("A valid matrix is required");
|
||||
}
|
||||
|
||||
var result = [];
|
||||
|
||||
for (var j = 0; j < matrix[0].length; j++) {
|
||||
var currentRow = [];
|
||||
for (var i = 0; i < matrix.length; i++) {
|
||||
currentRow.push(matrix[i][j]);
|
||||
}
|
||||
result.push(currentRow);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
export function addVector(vectorOne: number[][], vectorTwo: number[][]): number[][] {
|
||||
if (!checkIfValidMatrix(vectorOne) || !checkIfValidMatrix(vectorTwo)) {
|
||||
throw new TypeError("Two valid matrices are required");
|
||||
}
|
||||
|
||||
if (vectorOne[0].length != 1 || vectorTwo[0].length != 1) {
|
||||
throw new TypeError("Vectors can only have one column");
|
||||
}
|
||||
|
||||
if (vectorOne.length != vectorTwo.length) {
|
||||
throw new TypeError("The two vectors need to have the same dimensions");
|
||||
}
|
||||
|
||||
var result = [];
|
||||
for (var i = 0; i < vectorOne.length; i++) {
|
||||
result.push([vectorOne[i][0] + vectorTwo[i][0]]);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
export function subtractVector(vectorOne: number[][], vectorTwo: number[][]): number[][] {
|
||||
if (!checkIfValidMatrix(vectorOne) || !checkIfValidMatrix(vectorTwo)) {
|
||||
throw new TypeError("Two valid matrices are required");
|
||||
}
|
||||
|
||||
if (vectorOne[0].length != 1 || vectorTwo[0].length != 1) {
|
||||
throw new TypeError("Vectors can only have one column");
|
||||
}
|
||||
|
||||
if (vectorOne.length != vectorTwo.length) {
|
||||
throw new TypeError("The two vectors need to have the same dimensions");
|
||||
}
|
||||
|
||||
var result = [];
|
||||
for (var i = 0; i < vectorOne.length; i++) {
|
||||
result.push([vectorOne[i][0] - vectorTwo[i][0]]);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
export function getVectorMagnitude(vector: number[][]): number {
|
||||
if (!checkIfValidMatrix(vector)) {
|
||||
throw new TypeError("A valid matrix is required");
|
||||
}
|
||||
|
||||
if (vector[0].length != 1) {
|
||||
throw new TypeError("Vectors can only have one column");
|
||||
}
|
||||
|
||||
var result = 0;
|
||||
for (var i = 0; i < vector.length; i++) {
|
||||
result += vector[i][0]**2;
|
||||
}
|
||||
|
||||
return Math.sqrt(result);
|
||||
}
|
||||
|
||||
export function normalizeVector(vector: number[][]) {
|
||||
if (!checkIfValidMatrix(vector)) {
|
||||
throw new TypeError("A valid matrix is required");
|
||||
}
|
||||
|
||||
if (vector[0].length != 1) {
|
||||
throw new TypeError("Vectors can only have one column");
|
||||
}
|
||||
|
||||
const magnitude = getVectorMagnitude(vector);
|
||||
|
||||
var result = [];
|
||||
for (var i = 0; i < vector.length; i++) {
|
||||
result.push([vector[i][0] / magnitude]);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
|
||||
export function multiplyMatrixWithScalar(scalar: number, matrix: number[][]): number[][] {
|
||||
if (!checkIfValidMatrix(matrix)) {
|
||||
throw new TypeError("A valid matrix is required");
|
||||
}
|
||||
|
||||
var result = [];
|
||||
for (var i = 0; i < matrix.length; i++) {
|
||||
var row = [];
|
||||
for (var j = 0; j < matrix[i].length; j++) {
|
||||
row.push(scalar * matrix[i][j]);
|
||||
}
|
||||
result.push(row);
|
||||
}
|
||||
|
||||
return result;
|
||||
}
|
||||
@ -0,0 +1,259 @@
|
||||
import type { Planet } from "./constants";
|
||||
import { getVectorMagnitude, matrixMultiply, matrixTranspose, multiplyMatrixWithScalar, normalizeVector, subtractVector, vectorCrossProduct, vectorDotProduct } from "./mathematics";
|
||||
|
||||
export interface Axes {
|
||||
semiMajor: number,
|
||||
semiMinor: number,
|
||||
linearEccentricity: number,
|
||||
eccentricity: number
|
||||
}
|
||||
|
||||
export interface OrbitalElementRotations {
|
||||
argumentOfPeriapsisRotation: number[][],
|
||||
inclinationRotation: number[][],
|
||||
longitudeOfAscendingNodeRotation: number[][],
|
||||
transformationOutOfPlane: number[][],
|
||||
transformationIntoPlane: number[][]
|
||||
}
|
||||
|
||||
export interface OrbitalCoordinates {
|
||||
meanAnomaly: number,
|
||||
orbitalPeriod: number,
|
||||
eccentricAnomaly: number,
|
||||
position: number[][],
|
||||
latitude: number,
|
||||
longitude: number,
|
||||
longitudeOverPlanet: number,
|
||||
axes: Axes,
|
||||
orbitalRotations: OrbitalElementRotations,
|
||||
currentTime: number,
|
||||
planet: Planet
|
||||
}
|
||||
|
||||
export interface Manoeuvre {
|
||||
time: number,
|
||||
progradeAcceleration: number,
|
||||
radialAcceleration: number,
|
||||
normalAcceleration: number,
|
||||
totalAcceleration: number
|
||||
}
|
||||
|
||||
const zeroManoeuvre: Manoeuvre = {
|
||||
time: 0,
|
||||
progradeAcceleration: 0,
|
||||
radialAcceleration: 0,
|
||||
normalAcceleration: 0,
|
||||
totalAcceleration: 0
|
||||
}
|
||||
|
||||
export interface Transfer {
|
||||
originalPlaneCoordinateAxes: [number[][], number[][], number[][]],
|
||||
transferPlaneCoordinateAxes: [number[][], number[][], number[][]],
|
||||
targetPlaneCoordinateAxes: [number[][], number[][], number[][]],
|
||||
|
||||
firstManoeuvre: Manoeuvre,
|
||||
secondManoeuvre: Manoeuvre
|
||||
}
|
||||
|
||||
export interface LambertFunction {
|
||||
(lambda: number): Transfer
|
||||
}
|
||||
|
||||
export interface LambertSolver {
|
||||
lambertFunction: LambertFunction,
|
||||
extremeLambda: number,
|
||||
parabolaLambda: number
|
||||
}
|
||||
|
||||
export function getAxes(periapsis: number, apoapsis: number, planet: Planet): Axes {
|
||||
const semiMajor = (periapsis + apoapsis) / 2 + planet.radius;
|
||||
const linearEccentricity = (semiMajor - periapsis - planet.radius);
|
||||
const eccentricity = linearEccentricity / semiMajor;
|
||||
const semiMinor = Math.sqrt(semiMajor**2 - linearEccentricity**2);
|
||||
|
||||
return {
|
||||
semiMajor: semiMajor,
|
||||
semiMinor: semiMinor,
|
||||
linearEccentricity: linearEccentricity,
|
||||
eccentricity: eccentricity
|
||||
};
|
||||
}
|
||||
|
||||
export function getOrbitalPeriod(axes: Axes, gravitationalParameter: number): number {
|
||||
return 2 * Math.PI * Math.sqrt(axes.semiMajor**3 / gravitationalParameter);
|
||||
}
|
||||
|
||||
export function getMeanAnomalyFromTimeToPeriapsis(timeToPeriapsis: number, periapsis: number, apoapsis: number, planet: Planet): number {
|
||||
const axes = getAxes(periapsis, apoapsis, planet);
|
||||
const orbitalPeriod = getOrbitalPeriod(axes, planet.gravitationalParameter);
|
||||
return (orbitalPeriod - timeToPeriapsis) * 2 * Math.PI / orbitalPeriod;
|
||||
}
|
||||
|
||||
export function getMeanAnomalyFromEccentricAnomaly(eccentricAnomaly: number, eccentricity: number): number {
|
||||
return eccentricAnomaly - eccentricity * Math.sin(eccentricAnomaly);
|
||||
}
|
||||
|
||||
export function getEccentricAnomalyFromMeanAnomaly(meanAnomaly: number, eccentricity: number) {
|
||||
// Use fixed point iteration
|
||||
var eccentricAnomaly = meanAnomaly;
|
||||
const iterationFunction = (eccentricAnomaly: number): number => {
|
||||
return meanAnomaly + eccentricity * Math.sin(eccentricAnomaly);
|
||||
}
|
||||
|
||||
while (Math.abs(eccentricAnomaly - eccentricity*Math.sin(eccentricAnomaly) - meanAnomaly) > 0.00000001) {
|
||||
eccentricAnomaly = iterationFunction(eccentricAnomaly);
|
||||
}
|
||||
|
||||
return eccentricAnomaly;
|
||||
}
|
||||
|
||||
export function getOrbitalElementRotations(inclination: number, longitudeOfAscendingNode: number, argumentOfPeriapsis: number): OrbitalElementRotations {
|
||||
const argumentOfPeriapsisRotation =
|
||||
[
|
||||
[Math.cos(argumentOfPeriapsis), -Math.sin(argumentOfPeriapsis), 0],
|
||||
[Math.sin(argumentOfPeriapsis), Math.cos(argumentOfPeriapsis), 0],
|
||||
[0, 0, 1]
|
||||
];
|
||||
|
||||
const inclinationRotation =
|
||||
[
|
||||
[1, 0, 0],
|
||||
[0, Math.cos(inclination), -Math.sin(inclination)],
|
||||
[0, Math.sin(inclination), Math.cos(inclination)]
|
||||
];
|
||||
|
||||
const longitudeOfAscendingNodeRotation =
|
||||
[
|
||||
[Math.cos(longitudeOfAscendingNode), -Math.sin(longitudeOfAscendingNode), 0],
|
||||
[Math.sin(longitudeOfAscendingNode), Math.cos(longitudeOfAscendingNode), 0],
|
||||
[0, 0, 1]
|
||||
];
|
||||
|
||||
const transformationOutOfPlane = matrixMultiply(longitudeOfAscendingNodeRotation, matrixMultiply(inclinationRotation, argumentOfPeriapsisRotation));
|
||||
const transformationIntoPlane = matrixTranspose(transformationOutOfPlane);
|
||||
|
||||
return {
|
||||
argumentOfPeriapsisRotation: argumentOfPeriapsisRotation,
|
||||
inclinationRotation: inclinationRotation,
|
||||
longitudeOfAscendingNodeRotation: longitudeOfAscendingNodeRotation,
|
||||
transformationOutOfPlane: transformationOutOfPlane,
|
||||
transformationIntoPlane: transformationIntoPlane
|
||||
};
|
||||
}
|
||||
|
||||
export function getOrbitalCoordinates(currentTime: number, timeToPeriapsis: number, periapsis: number, apoapsis: number, inclination: number, longitudeOfAscendingNode: number, argumentOfPeriapsis: number, planet: Planet): OrbitalCoordinates {
|
||||
const axes = getAxes(periapsis, apoapsis, planet);
|
||||
const orbitalPeriod = getOrbitalPeriod(axes, planet.gravitationalParameter);
|
||||
const meanAnomaly = getMeanAnomalyFromTimeToPeriapsis(timeToPeriapsis, periapsis, apoapsis, planet);
|
||||
const eccentricAnomaly = getEccentricAnomalyFromMeanAnomaly(meanAnomaly, axes.eccentricity);
|
||||
const orbitalRotations = getOrbitalElementRotations(inclination, longitudeOfAscendingNode, argumentOfPeriapsis);
|
||||
const localPosition = [
|
||||
[axes.semiMajor * Math.cos(eccentricAnomaly) - axes.linearEccentricity],
|
||||
[axes.semiMinor * Math.sin(eccentricAnomaly)],
|
||||
[0]
|
||||
];
|
||||
|
||||
const globalPosition = matrixMultiply(orbitalRotations.transformationOutOfPlane, localPosition);
|
||||
const longitude = Math.atan2(globalPosition[1][0], globalPosition[0][0]);
|
||||
const latitude = Math.atan2(globalPosition[2][0], Math.sqrt(globalPosition[0][0]**2 + globalPosition[1][0]**2));
|
||||
|
||||
const currentMeridianLongitude = planet.initialMeridianLongitude + currentTime * 2 * Math.PI / planet.rotationPeriod;
|
||||
const longitudeOverPlanet = ((longitude - currentMeridianLongitude) % (2 * Math.PI) + 2 * Math.PI) % (2 * Math.PI);
|
||||
|
||||
return {
|
||||
meanAnomaly: meanAnomaly,
|
||||
orbitalPeriod: orbitalPeriod,
|
||||
eccentricAnomaly: eccentricAnomaly,
|
||||
position: globalPosition,
|
||||
latitude: latitude,
|
||||
longitude: longitude,
|
||||
longitudeOverPlanet: longitudeOverPlanet,
|
||||
axes: axes,
|
||||
orbitalRotations: orbitalRotations,
|
||||
currentTime: currentTime,
|
||||
planet: planet
|
||||
};
|
||||
}
|
||||
|
||||
export function calculateSimplePlaneChange(coordinates: OrbitalCoordinates, targetInclination: number, targetLongitudeOfAscendingNode: number, circularizeOrbit: boolean): [Manoeuvre, Manoeuvre] {
|
||||
const targetRotations = getOrbitalElementRotations(targetInclination, targetLongitudeOfAscendingNode, 0);
|
||||
const targetPlaneNormalVector = normalizeVector(matrixMultiply(coordinates.orbitalRotations.transformationIntoPlane, matrixMultiply(targetRotations.transformationOutOfPlane, [[0], [0], [1]])));
|
||||
|
||||
// Check if target plane is equal to current plane
|
||||
if (1 - Math.abs(vectorDotProduct(targetPlaneNormalVector, [[0], [0], [1]])) < 0.0001) {
|
||||
return [zeroManoeuvre, zeroManoeuvre];
|
||||
}
|
||||
|
||||
// Find vector that is normal to both current plane vector and target plane vector (i.e. lies in both planes)
|
||||
const normalToAll = vectorCrossProduct(targetPlaneNormalVector, [[0], [0], [1]]);
|
||||
|
||||
// Find the true anomaly of this vector
|
||||
const trueAnomaly = Math.atan2(normalToAll[1][0], normalToAll[0][0]);
|
||||
|
||||
// Caclulate the two possible manoeuvres
|
||||
var manoeuvres: Manoeuvre[] = [];
|
||||
const anomalies = [trueAnomaly, trueAnomaly + Math.PI];
|
||||
anomalies.forEach(anomaly => {
|
||||
const eccentricAnomaly = 2 * Math.atan(Math.sqrt((1 - coordinates.axes.eccentricity) / (1 + coordinates.axes.eccentricity)) * Math.tan(anomaly / 2));
|
||||
var meanAnomaly = getMeanAnomalyFromEccentricAnomaly(eccentricAnomaly, coordinates.axes.eccentricity);
|
||||
|
||||
while (meanAnomaly < coordinates.meanAnomaly) {
|
||||
meanAnomaly += 2*Math.PI;
|
||||
}
|
||||
|
||||
const manoeuvreTime = (meanAnomaly - coordinates.meanAnomaly) * coordinates.orbitalPeriod / (2 * Math.PI) + coordinates.currentTime;
|
||||
|
||||
const progradeVector = normalizeVector([
|
||||
[-coordinates.axes.semiMajor * Math.sin(eccentricAnomaly)],
|
||||
[coordinates.axes.semiMinor * Math.cos(eccentricAnomaly)],
|
||||
[0]
|
||||
]);
|
||||
|
||||
const normalVector = [
|
||||
[0],
|
||||
[0],
|
||||
[1]
|
||||
];
|
||||
|
||||
const radialVector = vectorCrossProduct(normalVector, progradeVector);
|
||||
|
||||
const radius = coordinates.axes.semiMajor * (1 - coordinates.axes.eccentricity * Math.cos(eccentricAnomaly));
|
||||
const speed = Math.sqrt(coordinates.planet.gravitationalParameter * (2 / radius - 1 / coordinates.axes.semiMajor));
|
||||
|
||||
const velocity = multiplyMatrixWithScalar(speed, progradeVector);
|
||||
var velocityChange: number[][];
|
||||
var deltaV: number;
|
||||
|
||||
if (!circularizeOrbit) {
|
||||
deltaV = vectorDotProduct(velocity, multiplyMatrixWithScalar(-1, targetPlaneNormalVector));
|
||||
velocityChange = multiplyMatrixWithScalar(deltaV, targetPlaneNormalVector);
|
||||
deltaV = Math.abs(deltaV);
|
||||
} else {
|
||||
const targetSpeed = Math.sqrt(coordinates.planet.gravitationalParameter / radius);
|
||||
const positionVector = [
|
||||
[coordinates.axes.semiMajor * Math.cos(eccentricAnomaly)],
|
||||
[coordinates.axes.semiMinor * Math.sin(eccentricAnomaly)],
|
||||
[0]
|
||||
];
|
||||
|
||||
const targetDirection = normalizeVector(vectorCrossProduct(targetPlaneNormalVector, positionVector));
|
||||
const targetVelocity = multiplyMatrixWithScalar(targetSpeed, targetDirection);
|
||||
velocityChange = subtractVector(targetVelocity, velocity);
|
||||
deltaV = getVectorMagnitude(velocityChange);
|
||||
}
|
||||
|
||||
const progradeChange = vectorDotProduct(velocityChange, progradeVector);
|
||||
const radialChange = -vectorDotProduct(velocityChange, radialVector);
|
||||
const normalChange = vectorDotProduct(velocityChange, normalVector);
|
||||
|
||||
manoeuvres.push({
|
||||
time: manoeuvreTime,
|
||||
progradeAcceleration: progradeChange,
|
||||
radialAcceleration: radialChange,
|
||||
normalAcceleration: normalChange,
|
||||
totalAcceleration: deltaV
|
||||
});
|
||||
});
|
||||
|
||||
return [manoeuvres[0], manoeuvres[1]];
|
||||
}
|
||||
237
src/main.ts
237
src/main.ts
@ -1,24 +1,217 @@
|
||||
import './style.css'
|
||||
import typescriptLogo from './typescript.svg'
|
||||
import viteLogo from '/vite.svg'
|
||||
import { setupCounter } from './counter.ts'
|
||||
import { Eve, Gilly, Kerbin, Kerbol, Minmus, Moho, Mun, type Planet } from "./calculations/constants";
|
||||
import {calculateSimplePlaneChange, getOrbitalCoordinates} from "./calculations/orbit-calculations";
|
||||
|
||||
document.querySelector<HTMLDivElement>('#app')!.innerHTML = `
|
||||
<div>
|
||||
<a href="https://vite.dev" target="_blank">
|
||||
<img src="${viteLogo}" class="logo" alt="Vite logo" />
|
||||
</a>
|
||||
<a href="https://www.typescriptlang.org/" target="_blank">
|
||||
<img src="${typescriptLogo}" class="logo vanilla" alt="TypeScript logo" />
|
||||
</a>
|
||||
<h1>Vite + TypeScript</h1>
|
||||
<div class="card">
|
||||
<button id="counter" type="button"></button>
|
||||
</div>
|
||||
<p class="read-the-docs">
|
||||
Click on the Vite and TypeScript logos to learn more
|
||||
</p>
|
||||
</div>
|
||||
`
|
||||
const dateInputYears = document.getElementById("dateYear") as HTMLInputElement;
|
||||
const dateInputDays = document.getElementById("dateDay") as HTMLInputElement;
|
||||
const dateInputHours = document.getElementById("dateHours") as HTMLInputElement;
|
||||
const dateInputMinutes = document.getElementById("dateMinutes") as HTMLInputElement;
|
||||
const dateInputSeconds = document.getElementById("dateSeconds") as HTMLInputElement;
|
||||
|
||||
setupCounter(document.querySelector<HTMLButtonElement>('#counter')!)
|
||||
const periapsisInputYears = document.getElementById("periapsisYears") as HTMLInputElement;
|
||||
const periapsisInputDays = document.getElementById("periapsisDays") as HTMLInputElement;
|
||||
const periapsisInputHours = document.getElementById("periapsisHours") as HTMLInputElement;
|
||||
const periapsisInputMinutes = document.getElementById("periapsisMinutes") as HTMLInputElement;
|
||||
const periapsisInputSeconds = document.getElementById("periapsisSeconds") as HTMLInputElement;
|
||||
|
||||
const mohoButton = document.getElementById("moho") as HTMLInputElement;
|
||||
const eveButton = document.getElementById("eve") as HTMLInputElement;
|
||||
const gillyButton = document.getElementById("gilly") as HTMLInputElement;
|
||||
const kerbinButton = document.getElementById("kerbin") as HTMLInputElement;
|
||||
const munButton = document.getElementById("mun") as HTMLInputElement;
|
||||
const minmusButton = document.getElementById("minmus") as HTMLInputElement;
|
||||
|
||||
const currentPeriapsisInput = document.getElementById("currentPeriapsis") as HTMLInputElement;
|
||||
const currentApoapsisInput = document.getElementById("currentApoapsis") as HTMLInputElement;
|
||||
const currentInclinationInput = document.getElementById("currentInclination") as HTMLInputElement;
|
||||
const currentLANInput = document.getElementById("currentLAN") as HTMLInputElement;
|
||||
const currentAOPInput = document.getElementById("currentAOP") as HTMLInputElement;
|
||||
|
||||
const coordinatesRadio = document.getElementById("coordinates") as HTMLInputElement;
|
||||
const simplePlaneChangeRadio = document.getElementById("simplePlaneChange") as HTMLInputElement;
|
||||
const orbitChangeRadio = document.getElementById("orbitChange") as HTMLInputElement;
|
||||
|
||||
const coordinatesDiv = document.getElementById("coordinatesDiv");
|
||||
const coordinateCalculationButton = document.getElementById("calculateCoordinatesButton") as HTMLButtonElement;
|
||||
const meanAnomalyInput = document.getElementById("calculatedMeanAnomaly") as HTMLInputElement;
|
||||
const eccentricAnomalyInput = document.getElementById("calculatedEccentricAnomaly") as HTMLInputElement;
|
||||
const positionXInput = document.getElementById("calculatedX") as HTMLInputElement;
|
||||
const positionYInput = document.getElementById("calculatedY") as HTMLInputElement;
|
||||
const positionZInput = document.getElementById("calculatedZ") as HTMLInputElement;
|
||||
const latitudeInput = document.getElementById("calculatedLatitude") as HTMLInputElement;
|
||||
const longitudeInput = document.getElementById("calculatedLongitude") as HTMLInputElement;
|
||||
const longitudeOverPlanetInput = document.getElementById("calculatedPlanetLongitude") as HTMLInputElement;
|
||||
|
||||
const simplePlaneChangeDiv = document.getElementById("simplePlaneChangeDiv");
|
||||
const targetInclinationInput = document.getElementById("targetInclination") as HTMLInputElement;
|
||||
const targetLANInput = document.getElementById("targetLAN") as HTMLInputElement;
|
||||
const circularizeCheckbox = document.getElementById("circularizeOrbit") as HTMLInputElement;
|
||||
const simplePlaneChangeButton = document.getElementById("simplePlaneChangeButton") as HTMLButtonElement;
|
||||
|
||||
const orbitChangeDiv = document.getElementById("orbitChangeDiv");
|
||||
|
||||
const simplePlaneChangeTimes = [
|
||||
document.getElementById("simpleManoeuvreTime1") as HTMLInputElement,
|
||||
document.getElementById("simpleManoeuvreTime2") as HTMLInputElement
|
||||
];
|
||||
const simplePlaneChangeProgrades = [
|
||||
document.getElementById("simpleManoeuvrePrograde1") as HTMLInputElement,
|
||||
document.getElementById("simpleManoeuvrePrograde2") as HTMLInputElement
|
||||
];
|
||||
|
||||
const simplePlaneChangeRadials = [
|
||||
document.getElementById("simpleManoeuvreRadial1") as HTMLInputElement,
|
||||
document.getElementById("simpleManoeuvreRadial2") as HTMLInputElement
|
||||
];
|
||||
|
||||
const simplePlaneChangeNormals = [
|
||||
document.getElementById("simpleManoeuvreNormal1") as HTMLInputElement,
|
||||
document.getElementById("simpleManoeuvreNormal2") as HTMLInputElement
|
||||
];
|
||||
|
||||
const simplePlaneChangeTotals = [
|
||||
document.getElementById("simpleManoeuvreTotal1") as HTMLInputElement,
|
||||
document.getElementById("simpleManoeuvreTotal2") as HTMLInputElement
|
||||
];
|
||||
|
||||
|
||||
function getDate(): number {
|
||||
const years = parseInt(dateInputYears.value);
|
||||
const days = parseInt(dateInputDays.value);
|
||||
const hours = parseInt(dateInputHours.value);
|
||||
const minutes = parseInt(dateInputMinutes.value);
|
||||
const seconds = parseInt(dateInputSeconds.value);
|
||||
|
||||
return ((((years - 1) * 426 + days - 1) * 6 + hours) * 60 + minutes) * 60 + seconds;
|
||||
}
|
||||
|
||||
function getTimeToPeriapsis(): number {
|
||||
const years = parseInt(periapsisInputYears.value);
|
||||
const days = parseInt(periapsisInputDays.value);
|
||||
const hours = parseInt(periapsisInputHours.value);
|
||||
const minutes = parseInt(periapsisInputMinutes.value);
|
||||
const seconds = parseInt(periapsisInputSeconds.value);
|
||||
|
||||
return (((years * 426 + days) * 6 + hours) * 60 + minutes) * 60 + seconds;
|
||||
}
|
||||
|
||||
function getPlanet(): Planet {
|
||||
if (mohoButton.checked) {
|
||||
return Moho;
|
||||
} else if (eveButton.checked) {
|
||||
return Eve;
|
||||
} else if (gillyButton.checked) {
|
||||
return Gilly;
|
||||
} else if (kerbinButton.checked) {
|
||||
return Kerbin;
|
||||
} else if (munButton.checked) {
|
||||
return Mun;
|
||||
} else if (minmusButton.checked) {
|
||||
return Minmus;
|
||||
}
|
||||
|
||||
return Kerbol;
|
||||
}
|
||||
|
||||
function selectCalculationType() {
|
||||
if (coordinatesRadio.checked) {
|
||||
coordinatesDiv?.style.setProperty("display", "block");
|
||||
simplePlaneChangeDiv?.style.setProperty("display", "none");
|
||||
orbitChangeDiv?.style.setProperty("display", "none");
|
||||
} else if (simplePlaneChangeRadio.checked) {
|
||||
coordinatesDiv?.style.setProperty("display", "none");
|
||||
simplePlaneChangeDiv?.style.setProperty("display", "block");
|
||||
orbitChangeDiv?.style.setProperty("display", "none");
|
||||
} else if (orbitChangeRadio.checked) {
|
||||
coordinatesDiv?.style.setProperty("display", "none");
|
||||
simplePlaneChangeDiv?.style.setProperty("display", "none");
|
||||
orbitChangeDiv?.style.setProperty("display", "block");
|
||||
}
|
||||
}
|
||||
|
||||
coordinatesRadio.onclick = selectCalculationType;
|
||||
simplePlaneChangeRadio.onclick = selectCalculationType;
|
||||
orbitChangeRadio.onclick = selectCalculationType;
|
||||
|
||||
interface CommonInputs {
|
||||
periapsis: number,
|
||||
apoapsis: number,
|
||||
timeToPeriapsis: number,
|
||||
planet: Planet,
|
||||
inclination: number,
|
||||
longitudeOfAscendingNode: number,
|
||||
argumentOfPeriapsis: number,
|
||||
timeElapsed: number
|
||||
}
|
||||
|
||||
function getCommonInputs(): CommonInputs {
|
||||
const periapsis = parseFloat(currentPeriapsisInput.value);
|
||||
const apoapsis = parseFloat(currentApoapsisInput.value);
|
||||
const timeToPeriapsis = getTimeToPeriapsis();
|
||||
const planet = getPlanet();
|
||||
const inclination = parseFloat(currentInclinationInput.value) * Math.PI / 180.0;
|
||||
const longitudeOfAscendingNode = parseFloat(currentLANInput.value) * Math.PI / 180.0;
|
||||
const argumentOfPeriapsis = parseFloat(currentAOPInput.value) * Math.PI / 180.0;
|
||||
const timeElapsed = getDate();
|
||||
|
||||
return {
|
||||
periapsis: periapsis,
|
||||
apoapsis: apoapsis,
|
||||
timeToPeriapsis: timeToPeriapsis,
|
||||
planet: planet,
|
||||
inclination: inclination,
|
||||
longitudeOfAscendingNode: longitudeOfAscendingNode,
|
||||
argumentOfPeriapsis: argumentOfPeriapsis,
|
||||
timeElapsed: timeElapsed
|
||||
}
|
||||
}
|
||||
|
||||
coordinateCalculationButton.addEventListener("click", _ => {
|
||||
const commonInputs = getCommonInputs();
|
||||
const orbitalCoordinates = getOrbitalCoordinates(
|
||||
commonInputs.timeElapsed,
|
||||
commonInputs.timeToPeriapsis,
|
||||
commonInputs.periapsis,
|
||||
commonInputs.apoapsis,
|
||||
commonInputs.inclination,
|
||||
commonInputs.longitudeOfAscendingNode,
|
||||
commonInputs.argumentOfPeriapsis,
|
||||
commonInputs.planet
|
||||
);
|
||||
|
||||
meanAnomalyInput.value = orbitalCoordinates.meanAnomaly.toFixed(4);
|
||||
eccentricAnomalyInput.value = orbitalCoordinates.eccentricAnomaly.toFixed(4);
|
||||
positionXInput.value = orbitalCoordinates.position[0][0].toFixed(2);
|
||||
positionYInput.value = orbitalCoordinates.position[1][0].toFixed(2);
|
||||
positionZInput.value = orbitalCoordinates.position[2][0].toFixed(2);
|
||||
latitudeInput.value = (orbitalCoordinates.latitude * 180 / Math.PI).toFixed(6);
|
||||
longitudeInput.value = (orbitalCoordinates.longitude * 180 / Math.PI).toFixed(6);
|
||||
longitudeOverPlanetInput.value = (orbitalCoordinates.longitudeOverPlanet * 180 / Math.PI).toFixed(6);
|
||||
});
|
||||
|
||||
simplePlaneChangeButton.addEventListener("click", _ => {
|
||||
const commonInputs = getCommonInputs();
|
||||
const orbitalCoordinates = getOrbitalCoordinates(
|
||||
commonInputs.timeElapsed,
|
||||
commonInputs.timeToPeriapsis,
|
||||
commonInputs.periapsis,
|
||||
commonInputs.apoapsis,
|
||||
commonInputs.inclination,
|
||||
commonInputs.longitudeOfAscendingNode,
|
||||
commonInputs.argumentOfPeriapsis,
|
||||
commonInputs.planet
|
||||
);
|
||||
|
||||
const targetInclination = parseFloat(targetInclinationInput.value) * Math.PI / 180.0;
|
||||
const targetLongitudeOfAscendingNode = parseFloat(targetLANInput.value) * Math.PI / 180.0;
|
||||
const manoeuvres = calculateSimplePlaneChange(orbitalCoordinates, targetInclination, targetLongitudeOfAscendingNode, circularizeCheckbox.checked);
|
||||
manoeuvres.sort((a, b) => a.totalAcceleration - b.totalAcceleration);
|
||||
manoeuvres.forEach((manoeuvre, index) => {
|
||||
simplePlaneChangeTimes[index].value = manoeuvre.time.toFixed(0);
|
||||
simplePlaneChangeProgrades[index].value = manoeuvre.progradeAcceleration.toFixed(1);
|
||||
simplePlaneChangeRadials[index].value = manoeuvre.radialAcceleration.toFixed(1);
|
||||
simplePlaneChangeNormals[index].value = manoeuvre.normalAcceleration.toFixed(1);
|
||||
simplePlaneChangeTotals[index].value = manoeuvre.totalAcceleration.toFixed(1);
|
||||
});
|
||||
});
|
||||
|
||||
selectCalculationType();
|
||||
Loading…
x
Reference in New Issue
Block a user