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// SPDX-License-Identifier: Apache-2.0
//! CCSDS Orbit Ephemeris Message (OEM) writer.
//!
//! OEM is the CCSDS standard interchange format for a tabulated orbit:
//! CCSDS 502.0-B Orbit Data Messages, the KVN (Key-Value Notation) form that
//! GMAT, Orekit, STK, NASA GMAT/GMAT-derived tools, and most flight-dynamics
//! systems read and write. Where SP3 is the GNSS analysis-centre format (ECEF,
//! GPS satellites, clocks) OEM is the *spacecraft* ephemeris exchange: an
//! inertial state time series (position **and** velocity) for any object about
//! any centre. Emitting it is what lets a Kshana-propagated orbit be handed to a
//! flight-dynamics tool — the other side of the standards-interop annex from the
//! RINEX/SP3 GNSS ingest.
//!
//! This module is the *export* direction: [`OemFile::from_propagators`] samples a
//! propagated constellation on a time grid — directly in the shared TEME inertial
//! frame, so unlike the SP3 export there is **no Earth-fixed rotation** and the
//! full state ([`crate::orbit::Propagator::state_eci`]: position m, velocity m/s)
//! is written as-is — and [`OemFile::to_oem_string`] serialises it to a valid
//! CCSDS OEM 2.0 message: the `CCSDS_OEM_VERS`/`CREATION_DATE`/`ORIGINATOR`
//! header, then one `META_START … META_STOP` segment per satellite followed by
//! its `epoch X Y Z X_DOT Y_DOT Z_DOT` ephemeris lines (km, km/s).
//!
//! Determinism: the `CREATION_DATE` is a caller-supplied epoch, never wall-clock,
//! so the same run produces byte-identical output (the engine's reproducibility
//! contract). `REF_FRAME` is reported as `TEME` and `TIME_SYSTEM` as `GPS` —
//! honest about the frame the propagators integrate in and the time scale the
//! epoch grid is tagged with; no silent re-labelling to EME2000/UTC the engine
//! does not actually compute.
//!
//! Scope (this stage): the writer only. A reader is not part of this milestone;
//! the round trip is validated by re-parsing the emitted ephemeris lines in the
//! test suite against the propagator state they were sampled from.
use crate::rinex::EpochUtc;
use serde::Serialize;
/// The CCSDS OEM metadata block for one segment (one object's ephemeris).
#[derive(Clone, Debug, Serialize)]
pub struct OemMetadata {
/// `OBJECT_NAME` — a human-readable name (here the satellite identifier).
pub object_name: String,
/// `OBJECT_ID` — the object identifier (here the satellite identifier; OEM
/// uses the international designator for launched objects, but a PRN-style id
/// is a valid free-form value for objects without one).
pub object_id: String,
/// `CENTER_NAME` — the body the state is referenced to (`EARTH`).
pub center_name: String,
/// `REF_FRAME` — the reference frame of the state vectors (`TEME`).
pub ref_frame: String,
/// `TIME_SYSTEM` — the time scale of the epochs (`GPS`).
pub time_system: String,
/// `START_TIME` — the first ephemeris epoch.
pub start: EpochUtc,
/// `STOP_TIME` — the last ephemeris epoch.
pub stop: EpochUtc,
}
/// One ephemeris line: an epoch with the inertial position (km) and velocity
/// (km/s) of the segment's object.
#[derive(Clone, Debug, PartialEq, Serialize)]
pub struct OemStateLine {
/// The state epoch (GPS time scale, matching the segment `TIME_SYSTEM`).
pub epoch: EpochUtc,
/// Inertial (TEME) position, kilometres.
pub pos_km: [f64; 3],
/// Inertial (TEME) velocity, kilometres per second.
pub vel_km_s: [f64; 3],
}
/// One OEM segment: a metadata block followed by its ephemeris lines. An OEM file
/// carries one segment per object.
#[derive(Clone, Debug, Serialize)]
pub struct OemSegment {
pub meta: OemMetadata,
pub states: Vec<OemStateLine>,
}
/// A CCSDS Orbit Ephemeris Message: the header fields and one or more segments.
#[derive(Clone, Debug, Serialize)]
pub struct OemFile {
/// `CCSDS_OEM_VERS` value (`2.0`).
pub version: String,
/// `CREATION_DATE` — caller-supplied (never wall-clock) for determinism.
pub creation_date: EpochUtc,
/// `ORIGINATOR` (`KSHANA`).
pub originator: String,
/// One segment per object.
pub segments: Vec<OemSegment>,
}
impl OemFile {
/// Build an OEM from a propagated constellation: each satellite becomes one
/// segment whose ephemeris lines are the propagator's inertial state sampled
/// every `step_s` for `num_epochs` epochs, starting at calendar epoch `start`
/// (GPS time scale). Because OEM is written in the inertial (TEME) frame the
/// state is taken straight from [`crate::orbit::Propagator::state_eci`] with
/// no Earth-fixed rotation — position m → km, velocity m/s → km/s.
/// `creation_date` stamps the header deterministically.
pub fn from_propagators(
ids: &[String],
sats: &[crate::orbit::Propagator],
start: EpochUtc,
step_s: f64,
num_epochs: usize,
creation_date: EpochUtc,
) -> Self {
// The epoch grid is exactly `start + i·step_s`. Computing it by adding the
// offset to the start Julian Date and converting back loses ~tens of µs to
// f64 cancellation against the ~2.46e6-day JD magnitude (a 15-min grid then
// reads `00:30:00.000013`). Instead keep the time-of-day arithmetic in
// small-magnitude seconds and use the JD only for the integer day rollover,
// whose midnight JD is exactly representable — so a clean grid stays clean.
let day_jd0 = crate::timescales::julian_date(start.year, start.month, start.day, 0, 0, 0.0);
let base_sod = start.hour as f64 * 3600.0 + start.minute as f64 * 60.0 + start.second;
let epoch_at = |i: usize| -> EpochUtc {
let total = base_sod + i as f64 * step_s;
let day_add = (total / 86_400.0).floor();
let mut sod = total - day_add * 86_400.0; // seconds of day, [0, 86400)
let date = crate::timescales::civil_from_jd(day_jd0 + day_add);
let hour = (sod / 3600.0).floor();
sod -= hour * 3600.0;
let minute = (sod / 60.0).floor();
sod -= minute * 60.0;
EpochUtc {
year: date.year,
month: date.month,
day: date.day,
hour: hour as u32,
minute: minute as u32,
second: sod,
}
};
let last = num_epochs.saturating_sub(1);
let mut segments = Vec::with_capacity(sats.len());
for (id, sat) in ids.iter().zip(sats.iter()) {
let mut states = Vec::with_capacity(num_epochs);
for i in 0..num_epochs {
let t = i as f64 * step_s;
let s = sat.state_eci(t);
states.push(OemStateLine {
epoch: epoch_at(i),
pos_km: [s.r_m[0] / 1000.0, s.r_m[1] / 1000.0, s.r_m[2] / 1000.0],
vel_km_s: [
s.v_m_s[0] / 1000.0,
s.v_m_s[1] / 1000.0,
s.v_m_s[2] / 1000.0,
],
});
}
segments.push(OemSegment {
meta: OemMetadata {
object_name: id.clone(),
object_id: id.clone(),
center_name: "EARTH".to_string(),
ref_frame: "TEME".to_string(),
time_system: "GPS".to_string(),
start: epoch_at(0),
stop: epoch_at(last),
},
states,
});
}
OemFile {
version: "2.0".to_string(),
creation_date,
originator: "KSHANA".to_string(),
segments,
}
}
/// Serialise to CCSDS OEM 2.0 KVN text: the header, then for each segment a
/// `META_START … META_STOP` block and its `epoch X Y Z X_DOT Y_DOT Z_DOT`
/// ephemeris lines (km, km/s). Segments are separated by a blank line.
pub fn to_oem_string(&self) -> String {
let mut out = String::new();
out.push_str(&format!("CCSDS_OEM_VERS = {}\n", self.version));
out.push_str(&format!(
"CREATION_DATE = {}\n",
iso8601(&self.creation_date)
));
out.push_str(&format!("ORIGINATOR = {}\n", self.originator));
for seg in &self.segments {
out.push('\n');
out.push_str("META_START\n");
out.push_str(&format!("OBJECT_NAME = {}\n", seg.meta.object_name));
out.push_str(&format!("OBJECT_ID = {}\n", seg.meta.object_id));
out.push_str(&format!("CENTER_NAME = {}\n", seg.meta.center_name));
out.push_str(&format!("REF_FRAME = {}\n", seg.meta.ref_frame));
out.push_str(&format!("TIME_SYSTEM = {}\n", seg.meta.time_system));
out.push_str(&format!("START_TIME = {}\n", iso8601(&seg.meta.start)));
out.push_str(&format!("STOP_TIME = {}\n", iso8601(&seg.meta.stop)));
out.push_str("META_STOP\n");
out.push('\n');
for st in &seg.states {
out.push_str(&format!(
"{} {:.6} {:.6} {:.6} {:.9} {:.9} {:.9}\n",
iso8601(&st.epoch),
st.pos_km[0],
st.pos_km[1],
st.pos_km[2],
st.vel_km_s[0],
st.vel_km_s[1],
st.vel_km_s[2],
));
}
}
out
}
}
/// Format an epoch as the CCSDS calendar time `yyyy-mm-ddTHH:MM:SS.ffffff`.
fn iso8601(e: &EpochUtc) -> String {
format!(
"{:04}-{:02}-{:02}T{:02}:{:02}:{:09.6}",
e.year, e.month, e.day, e.hour, e.minute, e.second
)
}
#[cfg(test)]
mod tests {
use super::*;
use crate::orbit::{Orbit, Propagator};
fn start_epoch() -> EpochUtc {
EpochUtc {
year: 2023,
month: 1,
day: 1,
hour: 0,
minute: 0,
second: 0.0,
}
}
// Pull the whitespace-separated numeric ephemeris lines (the ones beginning
// with a `yyyy-` date) back out of the emitted text, as (epoch, [6 floats]).
fn ephemeris_lines(text: &str) -> Vec<(String, [f64; 6])> {
let mut rows = Vec::new();
for line in text.lines() {
let toks: Vec<&str> = line.split_whitespace().collect();
if toks.len() == 7 && toks[0].len() >= 10 && toks[0].as_bytes()[4] == b'-' {
let mut v = [0.0f64; 6];
let mut ok = true;
for (k, t) in toks[1..].iter().enumerate() {
match t.parse::<f64>() {
Ok(x) => v[k] = x,
Err(_) => {
ok = false;
break;
}
}
}
if ok {
rows.push((toks[0].to_string(), v));
}
}
}
rows
}
#[test]
fn iso8601_formats_a_padded_calendar_time() {
let e = EpochUtc {
year: 2023,
month: 1,
day: 2,
hour: 3,
minute: 4,
second: 5.5,
};
assert_eq!(iso8601(&e), "2023-01-02T03:04:05.500000");
assert_eq!(iso8601(&start_epoch()), "2023-01-01T00:00:00.000000");
}
#[test]
fn header_and_segment_structure_is_valid_oem() {
let a = 26_560_000.0;
let sats = vec![Propagator::Kepler(Orbit::new(a, 0.96, 0.0, 0.0))];
let ids = vec!["G01".to_string()];
let f = OemFile::from_propagators(&ids, &sats, start_epoch(), 900.0, 4, start_epoch());
let text = f.to_oem_string();
// Mandatory header keywords, in order.
assert!(text.starts_with("CCSDS_OEM_VERS = 2.0\n"));
assert!(text.contains("CREATION_DATE = 2023-01-01T00:00:00.000000\n"));
assert!(text.contains("ORIGINATOR = KSHANA\n"));
// One segment with all mandatory metadata keywords.
assert_eq!(text.matches("META_START").count(), 1);
assert_eq!(text.matches("META_STOP").count(), 1);
for kw in [
"OBJECT_NAME = G01",
"OBJECT_ID = G01",
"CENTER_NAME = EARTH",
"REF_FRAME = TEME",
"TIME_SYSTEM = GPS",
"START_TIME = 2023-01-01T00:00:00.000000",
"STOP_TIME = 2023-01-01T00:45:00.000000",
] {
assert!(text.contains(kw), "missing metadata keyword: {kw}");
}
// Four ephemeris lines (one per epoch).
assert_eq!(ephemeris_lines(&text).len(), 4);
}
#[test]
fn ephemeris_values_match_the_propagator_state() {
// The written km / (km/s) values must equal the propagator's inertial
// state in m / (m/s) at each epoch, divided by 1000 — i.e. TEME, no frame
// rotation. Checked against a known Kepler orbit at t = 0 and t = 900 s.
let a = 26_560_000.0;
let orbit = Orbit::keplerian(a, 0.01, 0.9, 0.3, 0.2, 0.4);
let sats = vec![Propagator::Kepler(orbit)];
let ids = vec!["G01".to_string()];
let f = OemFile::from_propagators(&ids, &sats, start_epoch(), 900.0, 5, start_epoch());
let rows = ephemeris_lines(&f.to_oem_string());
assert_eq!(rows.len(), 5);
for (i, (_epoch, vals)) in rows.iter().enumerate() {
let s = Propagator::Kepler(orbit).state_eci(i as f64 * 900.0);
for k in 0..3 {
assert!(
(vals[k] - s.r_m[k] / 1000.0).abs() < 1e-3,
"epoch {i} pos axis {k}: wrote {} km",
vals[k]
);
assert!(
(vals[k + 3] - s.v_m_s[k] / 1000.0).abs() < 1e-6,
"epoch {i} vel axis {k}: wrote {} km/s",
vals[k + 3]
);
}
}
// Sanity: GPS-altitude radius (~26 560 km) and ~3.9 km/s speed.
let (_e0, v0) = &rows[0];
let r = (v0[0].powi(2) + v0[1].powi(2) + v0[2].powi(2)).sqrt();
let speed = (v0[3].powi(2) + v0[4].powi(2) + v0[5].powi(2)).sqrt();
assert!((r - a / 1000.0).abs() < 400.0, "radius {r:.1} km");
assert!((3.0..4.5).contains(&speed), "speed {speed:.3} km/s");
}
#[test]
fn each_satellite_becomes_its_own_segment() {
let a = 26_560_000.0;
let sats = vec![
Propagator::Kepler(Orbit::new(a, 0.96, 0.0, 0.0)),
Propagator::Kepler(Orbit::new(a, 0.96, std::f64::consts::PI, 1.0)),
];
let ids = vec!["G01".to_string(), "G02".to_string()];
let f = OemFile::from_propagators(&ids, &sats, start_epoch(), 900.0, 3, start_epoch());
assert_eq!(f.segments.len(), 2);
let text = f.to_oem_string();
// Two metadata blocks, two object ids, 2 × 3 = 6 ephemeris lines total.
assert_eq!(text.matches("META_START").count(), 2);
assert!(text.contains("OBJECT_ID = G01"));
assert!(text.contains("OBJECT_ID = G02"));
assert_eq!(ephemeris_lines(&text).len(), 6);
// STOP_TIME is the third epoch (2 × 900 s = 30 min after start).
assert!(text.contains("STOP_TIME = 2023-01-01T00:30:00.000000"));
}
#[test]
fn creation_date_is_caller_supplied_not_wall_clock() {
// Determinism: the same inputs (including an explicit creation date)
// produce byte-identical output across calls.
let a = 26_560_000.0;
let sats = vec![Propagator::Kepler(Orbit::new(a, 0.96, 0.0, 0.0))];
let ids = vec!["G01".to_string()];
let made = EpochUtc {
year: 2026,
month: 6,
day: 3,
hour: 12,
minute: 0,
second: 0.0,
};
let f1 = OemFile::from_propagators(&ids, &sats, start_epoch(), 900.0, 4, made);
let f2 = OemFile::from_propagators(&ids, &sats, start_epoch(), 900.0, 4, made);
let t1 = f1.to_oem_string();
assert_eq!(t1, f2.to_oem_string(), "output must be deterministic");
assert!(t1.contains("CREATION_DATE = 2026-06-03T12:00:00.000000\n"));
}
}