first commit
This commit is contained in:
1
.gitignore
vendored
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1
.gitignore
vendored
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384
Cargo.lock
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384
Cargo.lock
generated
Normal file
@@ -0,0 +1,384 @@
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9
Cargo.toml
Normal file
9
Cargo.toml
Normal file
@@ -0,0 +1,9 @@
|
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[package]
|
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name = "geostar"
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version = "0.1.0"
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edition = "2024"
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[dependencies]
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csv = "1.4.0"
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nalgebra = "0.34.1"
|
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serde = {version = "1.0.228", features = ["derive"]}
|
||||
144
src/main.rs
Normal file
144
src/main.rs
Normal file
@@ -0,0 +1,144 @@
|
||||
use csv::ReaderBuilder;
|
||||
use nalgebra::{Matrix3, Vector3};
|
||||
use serde::Deserialize;
|
||||
use std::collections::HashMap;
|
||||
use std::error::Error;
|
||||
|
||||
const EARTH_RADIUS_KM: f64 = 6371.0;
|
||||
const C: f64 = 299_792.458; // km/s
|
||||
const OMEGA_E: f64 = 7.2921159e-5; // rad/s
|
||||
|
||||
#[derive(Debug, Deserialize)]
|
||||
struct Star {
|
||||
HIP: u32,
|
||||
RArad: f64, // degrés
|
||||
DErad: f64, // degrés
|
||||
pmRA: f64, // mas/yr
|
||||
pmDE: f64, // mas/yr
|
||||
Plx: f64, // mas
|
||||
Hpmag: f64,
|
||||
}
|
||||
|
||||
#[derive(Debug)]
|
||||
struct Observation {
|
||||
hip: u32,
|
||||
az_deg: f64,
|
||||
alt_deg: f64,
|
||||
utc_jd: f64,
|
||||
altitude_km: f64,
|
||||
plane_velocity_kms: Vector3<f64>,
|
||||
}
|
||||
|
||||
fn ra_dec_to_unit_vector(ra_deg: f64, dec_deg: f64) -> Vector3<f64> {
|
||||
let ra = ra_deg.to_radians();
|
||||
let dec = dec_deg.to_radians();
|
||||
Vector3::new(dec.cos() * ra.cos(), dec.cos() * ra.sin(), dec.sin())
|
||||
}
|
||||
|
||||
fn azalt_to_unit_vector(az_deg: f64, alt_deg: f64) -> Vector3<f64> {
|
||||
let az = az_deg.to_radians();
|
||||
let alt = alt_deg.to_radians();
|
||||
let x = alt.cos() * az.sin();
|
||||
let y = alt.cos() * az.cos();
|
||||
let z = alt.sin();
|
||||
Vector3::new(x, y, z)
|
||||
}
|
||||
|
||||
fn correct_proper_motion(star: &Star, delta_years: f64) -> (f64, f64) {
|
||||
let ra_corr = star.RArad + (star.pmRA / 3600_000.0) * delta_years;
|
||||
let dec_corr = star.DErad + (star.pmDE / 3600_000.0) * delta_years;
|
||||
(ra_corr, dec_corr)
|
||||
}
|
||||
|
||||
fn apply_parallax(ra_deg: f64, dec_deg: f64, plx_mas: f64, alt_km: f64) -> (f64, f64) {
|
||||
if plx_mas <= 0.0 {
|
||||
return (ra_deg, dec_deg);
|
||||
}
|
||||
let d_au = 1.0 / (plx_mas * 1e-3);
|
||||
let factor = alt_km / 149_597_870.7;
|
||||
(ra_deg - factor / d_au, dec_deg - factor / d_au)
|
||||
}
|
||||
|
||||
fn triangulate(obs: &[Observation], stars: &HashMap<u32, Star>, delta_years: f64) -> Vector3<f64> {
|
||||
let mut A = Matrix3::<f64>::zeros();
|
||||
let mut b = Vector3::<f64>::zeros();
|
||||
|
||||
for o in obs {
|
||||
let star = &stars[&o.hip];
|
||||
let (ra_pm, dec_pm) = correct_proper_motion(star, delta_years);
|
||||
let (ra_topo, dec_topo) = apply_parallax(ra_pm, dec_pm, star.Plx, o.altitude_km);
|
||||
|
||||
let mut s = ra_dec_to_unit_vector(ra_topo, dec_topo);
|
||||
s += o.plane_velocity_kms / C;
|
||||
s = s.normalize();
|
||||
|
||||
let delta_t = 600.0;
|
||||
let coriolis = 2.0 * OMEGA_E * o.plane_velocity_kms.cross(&s) * delta_t / EARTH_RADIUS_KM;
|
||||
s += coriolis;
|
||||
s = s.normalize();
|
||||
|
||||
let v = azalt_to_unit_vector(o.az_deg, o.alt_deg);
|
||||
A += v * v.transpose();
|
||||
b += v.component_mul(&s);
|
||||
}
|
||||
|
||||
A.try_inverse().unwrap_or(Matrix3::identity()) * b
|
||||
}
|
||||
|
||||
// Convertit le vecteur terrestre en latitude/longitude/altitude
|
||||
fn vector_to_lat_lon_alt(pos: Vector3<f64>, altitude_km: f64) -> (f64, f64, f64) {
|
||||
let r = pos.norm();
|
||||
let lat = (pos.z / r).asin().to_degrees();
|
||||
let lon = pos.y.atan2(pos.x).to_degrees();
|
||||
(lat, lon, EARTH_RADIUS_KM + altitude_km)
|
||||
}
|
||||
|
||||
fn main() -> Result<(), Box<dyn Error>> {
|
||||
let mut rdr = ReaderBuilder::new()
|
||||
.delimiter(b';')
|
||||
.has_headers(true)
|
||||
.from_path("hip2.csv")?;
|
||||
|
||||
let mut stars = HashMap::new();
|
||||
for result in rdr.deserialize() {
|
||||
let star: Star = result?;
|
||||
stars.insert(star.HIP, star);
|
||||
}
|
||||
|
||||
let observations = vec![
|
||||
Observation {
|
||||
hip: 1,
|
||||
az_deg: 45.0,
|
||||
alt_deg: 60.0,
|
||||
utc_jd: 2459999.5,
|
||||
altitude_km: 10.0,
|
||||
plane_velocity_kms: Vector3::new(0.25, 0.0, 0.0),
|
||||
},
|
||||
Observation {
|
||||
hip: 2,
|
||||
az_deg: 130.0,
|
||||
alt_deg: 50.0,
|
||||
utc_jd: 2459999.501,
|
||||
altitude_km: 10.0,
|
||||
plane_velocity_kms: Vector3::new(0.25, 0.0, 0.0),
|
||||
},
|
||||
Observation {
|
||||
hip: 3,
|
||||
az_deg: 210.0,
|
||||
alt_deg: 70.0,
|
||||
utc_jd: 2459999.502,
|
||||
altitude_km: 10.0,
|
||||
plane_velocity_kms: Vector3::new(0.25, 0.0, 0.0),
|
||||
},
|
||||
];
|
||||
|
||||
let pos_vec = triangulate(&observations, &stars, 34.0);
|
||||
let (lat, lon, alt) = vector_to_lat_lon_alt(pos_vec, 10.0);
|
||||
println!("Position estimée depuis l'avion:");
|
||||
println!(
|
||||
"Latitude: {:.6}°, Longitude: {:.6}°, Altitude: {:.2} km",
|
||||
lat, lon, alt
|
||||
);
|
||||
|
||||
Ok(())
|
||||
}
|
||||
Reference in New Issue
Block a user