move planet around ellipse
This commit is contained in:
parent
c5aa808198
commit
f31f484dc5
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@ -1,7 +1,7 @@
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[gd_scene load_steps=3 format=2]
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[ext_resource path="res://scenes/OrbitCamera.tscn" type="PackedScene" id=3]
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[ext_resource path="res://scenes/OrbitSystem.tscn" type="PackedScene" id=4]
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[ext_resource path="res://scenes/orbits/OrbitSystem.tscn" type="PackedScene" id=4]
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[node name="Main" type="Node2D"]
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@ -11,3 +11,6 @@ transform = Transform( 0.515898, 0.606099, -0.605386, -0.393123, 0.795389, 0.461
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[node name="OrbitCamera" parent="." instance=ExtResource( 3 )]
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[node name="Orbit System" parent="." instance=ExtResource( 4 )]
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transform = Transform( 0.856869, 0.3292, -0.396741, 0.0949996, 0.655565, 0.749139, 0.506706, -0.679604, 0.53046, -0.599122, 0, 0 )
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SemiMajorAxis = 6.166
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Eccentricity = 0.239
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@ -1,15 +0,0 @@
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[gd_scene load_steps=2 format=2]
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[ext_resource path="res://scripts/orbits/OrbitSystem.cs" type="Script" id=1]
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[node name="Orbit System" type="Spatial"]
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script = ExtResource( 1 )
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_a = NodePath("A")
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_b = NodePath("B")
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_barycenter = NodePath("Barycenter")
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[node name="A" type="Spatial" parent="."]
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[node name="B" type="Spatial" parent="."]
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[node name="Barycenter" type="Spatial" parent="."]
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@ -0,0 +1,21 @@
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[gd_scene load_steps=3 format=2]
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[ext_resource path="res://scripts/orbits/OrbitSystem.cs" type="Script" id=1]
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[ext_resource path="res://scenes/orbits/Planet.tscn" type="PackedScene" id=2]
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[node name="Orbit System" type="Spatial"]
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script = ExtResource( 1 )
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SemiMajorAxis = 5.994
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Eccentricity = 0.518
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_a = NodePath("Planet A")
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_b = NodePath("Planet B")
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_barycenter = NodePath("Barycenter")
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[node name="Barycenter" type="Spatial" parent="."]
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[node name="Planet A" parent="." instance=ExtResource( 2 )]
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transform = Transform( 0.999977, 0.00603502, 0.00319089, -0.00604282, 0.999979, 0.0024369, -0.00317609, -0.00245615, 0.999992, 0, 0, 0 )
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[node name="Planet B" parent="." instance=ExtResource( 2 )]
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transform = Transform( 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0.5, -6.57314, 0, 4.18169 )
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Mass = 0.125
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@ -0,0 +1,11 @@
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[gd_scene load_steps=2 format=2]
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[ext_resource path="res://scripts/orbits/Planet.cs" type="Script" id=1]
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[node name="Planet" type="Spatial"]
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script = ExtResource( 1 )
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Mass = 1.0
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[node name="CSGSphere" type="CSGSphere" parent="."]
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radial_segments = 20
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rings = 20
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@ -1,7 +1,6 @@
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using Godot;
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using System;
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using Vim.Math3d;
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public interface ILocation
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{
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Vector3 Position { get; }
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DVector3 Position { get; set; }
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}
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@ -0,0 +1,3 @@
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public interface IPointMass : IMassive, ILocation
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{
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}
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@ -1,12 +1,48 @@
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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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{
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public Orbit(PointMass a, PointMass b)
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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 ellipse stuff
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private DVector2 PrimaryPosition => Ellipse.Focus0;
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public Ellipse Ellipse { get; set; }
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public DVector3 GetPosition(float t)
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{
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var p = PrimaryPosition + Ellipse.GetPosition(t);
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return new DVector3(p.X, 0, p.Y);
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}
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// ellipse
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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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@ -1,91 +1,73 @@
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using Godot;
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using System;
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using Vim.Math3d;
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[Tool]
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public class OrbitSystem : Node, IMassive, ILocation
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{
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[Export] private NodePath _a;
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[Export] private NodePath _b;
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[Export] private NodePath _barycenter;
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private readonly PointMass[] _pointMasses = new PointMass[2];
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public Vector3 Position => Barycenter;
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private double _semiMajorAxis;
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[Export]
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public Vector3 Barycenter
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private double SemiMajorAxis
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{
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get => _semiMajorAxis;
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set
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{
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_semiMajorAxis = value;
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if (!Engine.EditorHint) return;
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InvalidateGeometry();
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}
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}
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private double _eccentricity;
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[Export(PropertyHint.Range, "0,1")]
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private double Eccentricity
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{
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get => _eccentricity;
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set
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{
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_eccentricity = value;
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if (!Engine.EditorHint) return;
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InvalidateGeometry();
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}
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}
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#region Point Masses
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private IPointMass Primary
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{
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get
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{
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var p0 = _pointMasses[0].Position;
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var p1 = _pointMasses[1].Position;
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return p0.LinearInterpolate(p1, .5f);
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}
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set => _ = value;
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}
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public float Mass { get; } = 1;
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private Orbit _orbit;
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private ImmediateGeometry _orbitGeometry;
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public override void _Ready()
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{
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InitPointMasses();
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InitGeometry();
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}
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public override void _Process(float delta)
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{
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DrawOrbit();
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}
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private void InitOrbit()
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{
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}
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private void DrawOrbit()
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{
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int steps = 100;
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_orbitGeometry.Clear();
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_orbitGeometry.Begin(Mesh.PrimitiveType.LineLoop);
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_orbitGeometry.SetColor(new Color(1, 0, 0));
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var ellipse = new Ellipse(1, .5);
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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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_orbitGeometry.AddVertex(new Vector3
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if (_pointMasses[0] == null)
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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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InitPointMasses();
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}
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return _pointMasses[0];
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}
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_orbitGeometry.End();
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}
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private void InitGeometry()
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private IPointMass Secondary
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{
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_orbitGeometry = new ImmediateGeometry();
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var m = new SpatialMaterial();
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m.VertexColorUseAsAlbedo = true;
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m.FlagsUnshaded = true;
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_orbitGeometry.MaterialOverride = m;
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AddChild(_orbitGeometry);
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get
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{
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if (_pointMasses[1] == null)
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{
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InitPointMasses();
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}
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return _pointMasses[1];
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}
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}
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private readonly IPointMass[] _pointMasses = new IPointMass[2];
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private void InitPointMasses()
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{
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var a = GetPointMass(_a);
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var b = GetPointMass(_b);
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var a = GetNode<IPointMass>(_a);
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var b = GetNode<IPointMass>(_b);
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if (a.Mass > b.Mass)
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{
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@ -98,12 +80,71 @@ public class OrbitSystem : Node, IMassive, ILocation
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_pointMasses[1] = a;
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}
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}
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#endregion
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private PointMass GetPointMass(NodePath path)
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public float Mass => Primary.Mass + Secondary.Mass;
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public DVector3 Position
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{
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var spatial = GetNode<Spatial>(path);
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//var massive = node.GetChild<IMassive>(0);
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get => Barycenter;
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set => Barycenter = value;
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}
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return new PointMass(spatial, 1f);
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public DVector3 Barycenter
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{
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get
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{
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var p0 = Primary.Position;
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var p1 = Secondary.Position;
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return p0.Lerp(p1, .5f);
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}
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// TODO - make setting the berycenter do something sensible?
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set => _ = value;
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}
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private Orbit _orbit = null;
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private Orbit Orbit
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{
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get
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{
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if (_orbit == null)
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{
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_orbit = new Orbit();
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}
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return _orbit;
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}
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}
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private ImmediateGeometry _orbitGeometry = null;
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public ImmediateGeometry OrbitGeometry
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{
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get
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{
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if (_orbitGeometry == null)
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{
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_orbitGeometry = new ImmediateGeometry();
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var m = new SpatialMaterial();
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m.VertexColorUseAsAlbedo = true;
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m.FlagsUnshaded = true;
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_orbitGeometry.MaterialOverride = m;
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AddChild(_orbitGeometry);
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}
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return _orbitGeometry;
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}
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}
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private float _time = 0;
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public override void _Process(float delta)
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{
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_time += delta * 3f;
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InvalidateGeometry();
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}
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private void InvalidateGeometry()
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{
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Orbit.Ellipse = new Ellipse(SemiMajorAxis, Eccentricity);
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Orbit.Draw(OrbitGeometry);
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Secondary.Position = Orbit.GetPosition(_time);
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}
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}
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@ -1,18 +1,32 @@
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using Godot;
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using System;
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using Vim.Math3d;
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public class Planet : Node, IMassive
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[Tool]
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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 override void _Ready()
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private DVector3? _position;
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public DVector3 Position
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{
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get
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{
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if (_position.HasValue) return _position.Value;
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var t = Translation;
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return new DVector3(t.x, t.y, t.z);
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}
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set
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{
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_position = value;
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Translation = new Godot.Vector3
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{
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x = (float)value.X,
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y = (float)value.Y,
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z = (float)value.Z
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};
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}
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}
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// public override void _Process(float delta)
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// {
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//
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// }
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}
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@ -1,25 +0,0 @@
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using Godot;
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public struct PointMass : IMassive, ILocation
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{
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public float Mass => _massive == null ? _mass : _massive.Mass;
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public Vector3 Position => _spatial.Translation;
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private IMassive _massive;
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private Spatial _spatial;
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private float _mass;
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public PointMass(Spatial spatial, IMassive massive)
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{
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_spatial = spatial;
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_massive = massive;
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_mass = 0;
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}
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public PointMass(Spatial spatial, float mass)
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{
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_spatial = spatial;
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_massive = null;
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_mass = mass;
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}
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}
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