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b/assets/README.md @@ -0,0 +1,4 @@ +# credits + +`2k_moon.png`: https://www.solarsystemscope.com/textures/ +`thrusters_loop.ogg`: https://pixabay.com/sound-effects/thrusters-loopwav-14699/ diff --git a/flake.nix b/flake.nix index b2d51d6..dba64e5 100644 --- a/flake.nix +++ b/flake.nix @@ -45,8 +45,10 @@ ''-I"${pkgs.glib.dev}/include/glib-2.0"'' ''-I${pkgs.glib.out}/lib/glib-2.0/include/'' ]; + RUST_BACKTRACE = "1"; packages = (with pkgs; [ ffmpeg + imagemagick ]); }; }); diff --git a/src/main.rs b/src/main.rs index 967c037..c18a8b3 100644 --- a/src/main.rs +++ b/src/main.rs @@ -1,10 +1,11 @@ mod forces; +mod orbit; use bevy::{ audio::PlaybackMode, input::mouse::{MouseMotion, MouseWheel}, prelude::*, - window::{CursorGrabMode, PrimaryWindow}, + window::PrimaryWindow, }; use bevy_rapier3d::prelude::*; use forces::ExternalForceSet; @@ -12,13 +13,10 @@ use forces::ExternalForceSet; use crate::forces::update_external_forces; fn main() { - dbg!(orbital::Orbit::from_pos_dir(42000.0, 0.0, 0.0, 3074.0)); - return; - App::new() .add_plugins(DefaultPlugins) .add_plugins(RapierPhysicsPlugin::::default()) - .add_plugins(RapierDebugRenderPlugin::default()) + // .add_plugins(RapierDebugRenderPlugin::default()) .add_systems(Startup, setup) .add_systems( Update, @@ -45,6 +43,7 @@ struct SpaceshipBundle { thrusters: Thrusters, thruster_force: ExternalForce, forces: ExternalForceSet, + light: PointLight, } #[derive(Component)] @@ -58,7 +57,7 @@ struct Thrusters { #[derive(Component)] struct GravityAttractor { - mass: f32, + mass: f64, } #[derive(Component)] @@ -141,8 +140,6 @@ fn apply_gravity( ) { struct GravityForce; - const G: f64 = 1.0; - let (mut ship_forces, ship_transform) = query.single_mut(); for (gravity, body_transform) in &body_query { @@ -150,7 +147,7 @@ fn apply_gravity( .translation .distance(body_transform.translation) as f64; - let fg = (G * (gravity.mass as f64)) / (distance * distance); + let fg = (orbit::G * (gravity.mass as f64)) / (distance * distance); let direction = (body_transform.translation - ship_transform.translation).normalize(); let fg = ExternalForce { @@ -162,15 +159,20 @@ fn apply_gravity( } } +#[derive(Component)] +struct OrbitText; + fn debug_spaceship_orbit( query: Query<(&Transform, &Velocity), With>, - body_query: Query<&Transform, (With, Without)>, + body_query: Query<(&Transform, &GravityAttractor), Without>, + mut text_query: Query<&mut Text, With>, mut gizmos: Gizmos, ) { + let mut text = text_query.single_mut(); let (ship_transform, &v) = query.single(); let ship_pos = ship_transform.translation; - let body_transform = body_query.single(); + let (body_transform, body_gravity) = body_query.single(); let body_pos = body_transform.translation; let body_rotation = body_transform.rotation; @@ -192,7 +194,6 @@ fn debug_spaceship_orbit( let rotated_vel = orbital_plane_rot * velocity; let rotated_pos = orbital_plane_rot * translation; - dbg!((rotated_pos, rotated_vel)); gizmos.ray(body_pos, rotated_pos, Color::FUCHSIA); gizmos.ray( @@ -201,15 +202,17 @@ fn debug_spaceship_orbit( Color::OLIVE, ); - if true && (rotated_pos.length() > 0.0 && rotated_vel.length() > 0.1 && rotated_vel.z > 0.1) { - let orbit = orbital::Orbit::from_pos_dir( - rotated_pos.x.into(), - rotated_pos.z.into(), - rotated_vel.x.into(), - rotated_vel.z.into(), - ); - dbg!(orbit); - } + let orbit = orbit::Orbit::from_pos_dir( + body_gravity.mass.into(), + rotated_pos.x.into(), + rotated_pos.z.into(), + rotated_vel.x.into(), + rotated_vel.z.into(), + ); + text.sections[1].value = format!("{:.2}", orbit.semi_major_axis); + text.sections[3].value = format!("{:.2}", orbit.apoapsis()); + text.sections[5].value = format!("{:.2}", orbit.periapsis()); + gizmos.ray_gradient(ship_pos, velocity, Color::RED, Color::GREEN); gizmos.ray_gradient(ship_pos, translation, Color::BLUE, Color::GREEN); @@ -253,10 +256,11 @@ fn orbit_camera( /// set up a simple 3D scene fn setup( - mut windows: Query<&mut Window>, + // mut windows: Query<&mut Window>, mut commands: Commands, mut meshes: ResMut>, mut materials: ResMut>, + asset_server: Res, ) { let mut rapier = RapierConfiguration::default(); // We ain't a normal game, we do our own gravity. @@ -266,23 +270,23 @@ fn setup( commands.spawn(PlanetBundle::new( &mut meshes, &mut materials, + &asset_server, Transform::from_xyz(0.0, -100.0, 0.0), - 100.0, - 5000.0, - Color::rgb(0.2, 0.8, 0.5), + 10000.0, + )); + + commands.spawn(SpaceshipBundle::new( + &mut meshes, + &mut materials, + Vec3::new(0.0, 100.0, 0.0), )); - commands.spawn(SpaceshipBundle::new(&mut meshes, &mut materials)); // light - commands.spawn(PointLightBundle { - point_light: PointLight { - intensity: 1500.0, - shadows_enabled: true, - ..default() - }, - transform: Transform::from_xyz(4.0, 8.0, 4.0), - ..default() + commands.insert_resource(AmbientLight { + color: Color::WHITE, + brightness: 0.1, }); + // camera let camera_translation = Vec3::new(-2.0, 2.5, 5.0); @@ -297,13 +301,58 @@ fn setup( }, )); - let mut window = windows.single_mut(); + commands.spawn(( + TextBundle::from_sections([ + TextSection::new( + "Semi Major Axis: ", + TextStyle { + font_size: 20.0, + color: Color::GRAY, + ..default() + }, + ), + TextSection::from_style(TextStyle { + font_size: 20.0, + color: Color::GRAY, + ..default() + }), + TextSection::new( + "\nApoapsis: ", + TextStyle { + font_size: 20.0, + color: Color::GRAY, + ..default() + }, + ), + TextSection::from_style(TextStyle { + font_size: 20.0, + color: Color::GRAY, + ..default() + }), + TextSection::new( + "\nPeriapsis: ", + TextStyle { + font_size: 20.0, + color: Color::GRAY, + ..default() + }, + ), + TextSection::from_style(TextStyle { + font_size: 20.0, + color: Color::GRAY, + ..default() + }), + ]), + OrbitText, + )); + + // let mut window = windows.single_mut(); // window.cursor.visible = false; - window.cursor.grab_mode = CursorGrabMode::Locked; + // window.cursor.grab_mode = CursorGrabMode::Locked; } impl SpaceshipBundle { - fn new(meshes: &mut Assets, materials: &mut Assets) -> Self { + fn new(meshes: &mut Assets, materials: &mut Assets, pos: Vec3) -> Self { let height = 4.0; let width = 0.5; @@ -312,19 +361,11 @@ impl SpaceshipBundle { model: PbrBundle { mesh: meshes.add(Mesh::from(shape::Box::new(width, height, width))), material: materials.add(Color::rgb(0.8, 0.7, 0.6).into()), - transform: Transform::from_xyz(0.0, 3.0, 0.0).with_scale(Vec3 { - x: 1.0, - y: 1.0, - z: 1.0, - }), + transform: Transform::from_translation(pos), ..default() }, vel: Velocity { - linvel: Vec3 { - x: 100.0, - y: 100.0, - z: 100.0, - }, + linvel: Vec3::ZERO, angvel: Vec3::ZERO, }, body: RigidBody::Dynamic, @@ -336,6 +377,11 @@ impl SpaceshipBundle { torque: Vec3::ZERO, }, forces: ExternalForceSet::default(), + light: PointLight { + intensity: 1500.0, + shadows_enabled: true, + ..default() + }, } } } @@ -351,26 +397,39 @@ impl PlanetBundle { fn new( meshes: &mut Assets, materials: &mut Assets, + assert_server: &AssetServer, position: Transform, - radius: f32, - mass: f32, - color: Color, + radius: f64, ) -> Self { + use std::f64::consts::PI; + + let density = 2000.0 /* kg*m^3 */; + + let mass = (4.0 / 3.0) * PI * radius * radius * radius * density; + + let texture_handle = assert_server.load("2k_moon.png"); + let material = materials.add(StandardMaterial { + base_color_texture: Some(texture_handle), + alpha_mode: AlphaMode::Blend, + unlit: false, + ..default() + }); + PlanetBundle { mesh: PbrBundle { mesh: meshes.add( shape::UVSphere { - radius, + radius: radius as f32, sectors: 100, stacks: 100, } .into(), ), - material: materials.add(color.into()), + material: material, transform: position, ..default() }, - coll: Collider::ball(radius), + coll: Collider::ball(radius as f32), gravity: GravityAttractor { mass }, } } diff --git a/src/orbit.rs b/src/orbit.rs new file mode 100644 index 0000000..5663460 --- /dev/null +++ b/src/orbit.rs @@ -0,0 +1,67 @@ +use glam::DVec2; + +#[derive(Debug, Clone, Copy)] +pub struct Orbit { + pub semi_major_axis: f64, + pub eccentricity: f64, +} + +pub const G: f64 = 6.6e-11; + +impl Orbit { + pub fn from_pos_dir(m: f64, x: f64, y: f64, vx: f64, vy: f64) -> Orbit { + let v = DVec2::new(vx, vy); + let v = v.length(); + + let r_squared = x * x + y * y; + let r = r_squared.sqrt(); + let theta = y.atan2(x); + let psi = vy.atan2(vx); + + // https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/09%3A_The_Two_Body_Problem_in_Two_Dimensions/9.08%3A_Orbital_Elements_and_Velocity_Vector + + // semi major axis, 9.5.31 + // a = (GMr)/(2GM-v^2r) + let a = (G * m * r) / ((2.0 * G * m) - (v * v * r)); + + // eccentricity, 9.9.3 + // rV sin(psi - theta) = sqrt(GMa(1-e^2)) + let rvsin = r * v * (psi - theta).sin(); + let gma = G * m * a; + + let e = f64::sqrt((-(rvsin * rvsin - gma)) / gma); + + Orbit { + semi_major_axis: a, + eccentricity: e, + } + } + + pub fn periapsis(&self) -> f64 { + self.semi_major_axis * (1.0 - self.eccentricity) + } + + pub fn apoapsis(&self) -> f64 { + self.semi_major_axis * (1.0 + self.eccentricity) + } +} + +#[cfg(test)] +mod tests { + #[test] + fn geostationary() { + let orbit = super::Orbit::from_pos_dir(5.972e24, 42000.0, 0.0, 0.0, 3074.0); + assert!( + (21000.0 - orbit.semi_major_axis) < 20.0, + "{} == {}", + 21000.0, + orbit.semi_major_axis + ); + assert!( + (1.0 - orbit.eccentricity) < 0.1, + "{} == {}", + 1.0, + orbit.eccentricity + ); + } +}

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