GNSS and astrodynamics for Elixir: propagate satellites, predict passes, solve precise positions (SPP / RTK / PPP / DGNSS), screen for conjunctions, and convert between coordinate frames and time scales.
This is the Elixir interface to sidereon, a GNSS and astrodynamics engine
written in Rust. The numerics run in that engine and ship to you as a
Rustler precompiled NIF: adding the
dependency downloads a prebuilt binary for your platform, so there is no Rust
toolchain to install and nothing to compile. You write ordinary Elixir, with
plain DateTime and map structures in and typed structs out.
The engine is reference-validated. The SGP4 propagator is a port of David Vallado's reference implementation, bit-exact to it; frames and time are checked against Skyfield and IERS; the positioning stack is checked against IGS products.
Install
Add :sidereon to your dependencies in mix.exs:
def deps do
[{:sidereon, "~> 0.9"}]
endReleases ship precompiled NIFs for common Linux, macOS, and Windows targets and
download automatically, so no Rust build is needed. (Set SIDEREON_BUILD=1 to
compile from source instead.)
Example: track a satellite
Parse a two-line element set, run SGP4, and take a look angle from a ground station. No data files and no setup: give it the elements and a station, and it returns azimuth, elevation, and slant range.
line1 = "1 25544U 98067A 24001.50000000 .00016717 00000-0 10270-3 0 9009"
line2 = "2 25544 51.6400 208.8657 0002644 250.3037 109.7782 15.49560812999990"
station = %{latitude: 51.5, longitude: -0.1, altitude_m: 10.0}
with {:ok, tle} <- Sidereon.parse_tle(line1, line2),
{:ok, look} <- Sidereon.look_angle(tle, ~U[2024-01-01 12:00:00Z], station) do
look.azimuth # degrees
look.elevation # degrees
look.range_km # slant range
endThe same parsed elements feed Sidereon.propagate/2 (TEME position and
velocity), Sidereon.geodetic/2 (the sub-satellite point), and
Sidereon.predict_passes/5 (every pass above a minimum elevation over a window).
Example: solve a position
The positioning engine is the other half of the library. Feed it pseudoranges and a precise-ephemeris product and it returns a least-squares fix with ECEF and geodetic positions plus geometry diagnostics.
# GPS L1 pseudoranges (meters) for the satellites in view at the epoch.
observations = [
{"G08", 23_825_519.8},
{"G10", 22_717_690.1},
{"G16", 20_478_653.4},
{"G18", 21_768_335.2},
{"G20", 21_248_327.7},
{"G21", 20_808_709.8}
]
# `sp3_data` is a precise SP3 ephemeris (a string, or load one with
# `Sidereon.GNSS.SP3.load/1`).
with {:ok, sp3} <- Sidereon.GNSS.SP3.parse(sp3_data),
{:ok, solution} <-
Sidereon.GNSS.Positioning.solve(sp3, observations, ~N[2020-06-24 12:00:00],
initial_guess: [4_500_000.0, 500_000.0, 4_500_000.0, 0.0]) do
solution.position # %{x_m, y_m, z_m} ITRF/IGS ECEF meters
solution.geodetic # %{lat_rad, lon_rad, height_m}
solution.rx_clock_s # receiver clock bias, seconds
solution.dop.pdop # position dilution of precision
solution.used_sats # satellites that contributed to the fix
endSidereon.GNSS.RTK and the PPP and DGNSS solvers follow the same shape:
observations and a product in, a typed solution out.
A runnable sidereon.livemd walks through propagation,
positioning, and conjunction screening; more notebooks live under
examples/.
What's in the box
- Orbit propagation SGP4 / SDP4 from TLE and OMM, numerical force-model
propagation, ground track, sub-satellite point, eclipse, Sun and Moon angles,
and Doppler. See
Sidereon,Sidereon.Propagator,Sidereon.SGP4. - GNSS positioning single-point positioning (SPP), RTK (float,
integer-fixed, fix-and-hold), PPP, DGNSS, RAIM with fault detection and
exclusion, dilution of precision, and receiver velocity from Doppler. See
Sidereon.GNSS.Positioning,Sidereon.GNSS.RTK,Sidereon.GNSS.PrecisePositioning,Sidereon.GNSS.DGNSS,Sidereon.GNSS.QC. - GNSS data and observations SP3 (read, multi-center merge, write), broadcast
navigation (RINEX 3.x / 4.x), IONEX, ANTEX, CLK, RINEX 3 observations with
Hatanaka / CRINEX decoding, carrier-phase combinations, cycle-slip detection,
Hatch smoothing, ionosphere-free combination, and GPS L1 C/A signal
generation, acquisition, and LNAV decode. See
Sidereon.GNSS.SP3,Sidereon.GNSS.Broadcast,Sidereon.GNSS.CarrierPhase,Sidereon.GNSS.RTCM. - Ephemeris and time JPL SPK /
.bspkernels for Sun, Moon, and planets; TEME, GCRS, ITRS, geodetic, ECEF, and topocentric frames with IAU2000A nutation and IAU2006 precession; UTC / TAI / TT / TDB / UT1 scales. SeeSidereon.Ephemeris,Sidereon.Coordinates,Sidereon.GNSS.Time. - Geometry and events pass prediction, look angles, conjunction and TCA
screening, collision probability (Foster equal-area and numerical), CCSDS CDM
parsing, covariance propagation, initial orbit determination (Gibbs,
Herrick-Gibbs, Gauss angles-only), Lambert and Battin transfers, and orbital
element conversions. See
Sidereon.Passes,Sidereon.Conjunction,Sidereon.Collision,Sidereon.IOD,Sidereon.Lambert,Sidereon.OrbitalElements. - Atmosphere Klobuchar and Galileo NeQuick-G ionospheric delay, IONEX grids,
tropospheric zenith delay and mapping, and NRLMSISE-00 neutral density. See
Sidereon.GNSS.Ionosphere,Sidereon.GNSS.Troposphere,Sidereon.Atmosphere. - RF link budget free-space path loss, EIRP, C/N0, dish gain, and link
margin. See
Sidereon.RF. - Format parse and serialize TLE and OMM (KVN, XML, JSON) parse and encode,
CCSDS OPM / OEM / CDM, and the GNSS products above. See
Sidereon.Format.TLE,Sidereon.Format.OMM,Sidereon.CCSDS.OPM,Sidereon.CCSDS.OEM.
Every result is what the engine computes, returned as plain Elixir structs and
maps with {:ok, _} / {:error, _} tuples. Full signatures live on
HexDocs.
Other languages
sidereon is one validated engine with first-class interfaces in several languages: Rust (sidereon), Python (sidereon-python), C (sidereon-c), Elixir (this package), and WebAssembly (sidereon-wasm). The same numbers come out everywhere. See the live demo and docs at sidereon.dev.
License
MIT. The engine's SGP4 propagation is a port of David Vallado's reference implementation (credit: David Vallado, AIAA 2006); see the core sidereon crate for full attribution.