use IMassive to calculate period
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@ -3,5 +3,5 @@ using System;
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public interface IMassive
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{
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float Mass { get; }
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double Mass { get; }
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}
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@ -0,0 +1,4 @@
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public static class IMassiveExtensions
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{
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public static double U(this IMassive m) => Kepler.U(m.Mass);
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}
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@ -2,56 +2,42 @@ using Godot;
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using System;
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using Vim.Math3d;
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public class Orbit
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public class Orbit : IOrbit
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{
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// The position of the primary body relative to the ellipse - the
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// orbit itself is presented as being centred on the primary, but
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// all our math is elliptical.
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private DVector2 PrimaryPosition => Ellipse.Focus0;
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public IEllipse Ellipse { get; set; }
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public Ellipse Ellipse { get; set; }
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private readonly IMassive _massive;
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private readonly ILocation _satellite;
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public DVector3 GetPosition(float t)
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/// <summary>
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/// An orbit is treated as one stationary body at one focus of the orbit's ellipse.
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/// The satellite is treated as a massless point.
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/// </summary>
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/// <param name="massive">Mass of the object being orbited</param>
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/// <param name="satellite">The orbiting body</param>
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public Orbit(IMassive massive, ILocation satellite)
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{
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// TODO: determine period from mass of orbiting bodies
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var P = 10f;
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// TODO: determine ellipse better
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// semi-major axis is distance of satellite from origin
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var a = satellite.Position.Magnitude();
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var e = 0.8f;
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this.Ellipse = new Ellipse(a, e);
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_massive = massive;
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_satellite = satellite;
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}
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public DVector3 GetPosition(double t)
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{
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var a = Ellipse.a;
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var e = Ellipse.e;
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var P = Kepler.GetPeriod(a, _massive.U());
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var M = Kepler.GetMeanAnomaly(t, P);
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var E = Kepler.GetEccentricAnomaly(e, M) + Math.PI;
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var p = Kepler.GetEccentricPosition2D(e, a, t);
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return new DVector3(p.X, 0, p.Y);
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}
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public void Draw(ImmediateGeometry geo)
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{
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geo.Clear();
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geo.Begin(Mesh.PrimitiveType.LineLoop);
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DrawEllipse(geo);
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geo.End();
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}
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private void DrawEllipse(ImmediateGeometry geo)
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{
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geo.SetColor(new Color(1, 0, 0));
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int steps = 100;
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for (int i = 0; i < steps; i++)
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{
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float t = i / (float)steps;
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float a = t * Mathf.Tau;
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var v2 = Ellipse.Focus0 + Ellipse.GetPosition(a);
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geo.AddVertex(new Godot.Vector3
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{
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x = (float)v2.X,
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z = (float)v2.Y
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});
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}
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}
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}
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@ -6,7 +6,7 @@ using Vim.Math3d;
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public class Planet : Spatial, IPointMass
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{
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[Export]
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public float Mass { get; set; }
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public double Mass { get; set; }
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private DVector3? _position;
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public DVector3 Position
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