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Frame Reference

Frames define the coordinate systems used for all calculations in ANISE. Every position, velocity, and rotation is defined with respect to a specific Frame.

Frame Identification

ANISE is compatible with the standard NAIF ID system. You can refer to frames using: 1. Integer IDs: e.g., 399 for Earth. 2. Predefined Constants: e.g., anise::constants::frames::EARTH_J2000. 3. Names: In some interfaces (like Python), strings can be used if they have been registered in the Almanac.

Frame Safety

The Frame object in ANISE is more than just an ID; it's a validated descriptor. When you create an Orbit, it is "tagged" with a Frame.

let frame = almanac.frame_info(EARTH_J2000)?;
let orbit = Orbit::cartesian(x, y, z, vx, vy, vz, epoch, frame);

If you attempt to perform a math operation between two orbits in different frames, ANISE will either: - Automatic Transform: Some APIs will automatically transform the state to a common frame if the Almanac is provided. - Error: If no Almanac is provided to resolve the relationship, ANISE will refuse to perform the operation to prevent physical errors.

Metadata

A Frame object retrieved via almanac.frame_info() contains data retrieved from the loaded datasets (SPK, PCK, BPC):

  • mu_km3_s2: The gravitational parameter (\(GM\)) of the center body in \(km^3/s^2\).
  • shape: A tri-axial Ellipsoid defining the body's semi-major, semi-minor, and polar radii. It provides methods for surface intersection testing and calculating lighting angles (emission, solar incidence).
  • ephemeris_id: The NAIF ID used for translation and trajectory lookups.
  • orientation_id: The NAIF ID used for rotation lookups.

Orientation and Phase Angles

For planetocentric (body-fixed) frames, ANISE uses the loaded PCK or BPC data to determine the body's orientation. This is defined by three key phase angles: 1. Right Ascension (RA) of the body's north pole. 2. Declination (Dec) of the body's north pole. 3. Prime Meridian (W) location at the given epoch.

These angles are often modeled as polynomials in time (e.g., \(RA = RA_0 + RA_1 \Delta t + RA_2 \Delta t^2 \dots\)). ANISE evaluates these to compute the exact rotation matrix between inertial and body-fixed frames.