frame-transformations-jl
DevelopmentFrameTransformations.jl for building custom reference frame graphs and computing arbitrary point/axes transformations up to 4th order. Use when transforming between reference frames, building frame systems, or computing high-order state derivatives.
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FrameTransformations.jl
High-performance, extensible reference frame graph and transformation system. Repo: JuliaSpaceMissionDesign/FrameTransformations.jl
Core Type
frames = FrameSystem{4, Float64}() # Order 4 (through jerk), Float64, TDB timescale
frames = FrameSystem{2, Float64, TDB}() # Explicit timescale
Building the Frame Graph
Pre-defined Frames
# Celestial/Inertial
add_axes_icrf!(frames)
add_axes_gcrf!(frames)
add_axes_eme2000!(frames)
# Terrestrial (IERS)
add_axes_itrf!(frames, iers2010b)
add_axes_cirf!(frames, iers2010b)
add_axes_mod!(frames, iers2010b)
add_axes_tod!(frames, iers2010b)
add_axes_pef!(frames, iers2010b)
# Planetary / Lunar
add_axes_bci2000!(frames, body)
add_axes_pa440!(frames) # Moon principal axes DE440
add_axes_me421!(frames) # Moon mean Earth DE421
Custom Frames
add_axes_fixedoffset!(frames, :MyFrame, id, parent_id, dcm)
add_axes_rotating!(frames, :MyFrame, id, parent_id, fun, δfun, δ²fun, δ³fun)
add_point_fixedoffset!(frames, :MyPoint, id, parent_id, axes_id, offset)
add_point_dynamical!(frames, :MyPoint, id, parent_id, axes_id, fun)
add_point_ephemeris!(frames, eph, ...)
Querying Transformations
Point State Vectors
r = vector3(frames, from, to, axes, epoch) # SVector{3} position
rv = vector6(frames, from, to, axes, epoch) # SVector{6} pos + vel
rva = vector9(frames, from, to, axes, epoch) # SVector{9} pos + vel + acc
rvaj = vector12(frames, from, to, axes, epoch) # SVector{12} pos + vel + acc + jerk
Axes Rotations
R = rotation3(frames, from, to, epoch) # Rotation{1} (DCM only)
R = rotation6(frames, from, to, epoch) # Rotation{2} (DCM + dDCM/dt)
R = rotation9(frames, from, to, epoch) # Rotation{3}
R = rotation12(frames, from, to, epoch) # Rotation{4}
Key Types
Translation{S,T}-- immutable container for S position derivative vectorsRotation{S,T}-- immutable container for S DCMs + derivatives. Supports*,inv(), and application toTranslation
Key Conventions
- Time:
Epoch{S}from Tempo.jl or raw seconds since J2000 - Identifiers: integer IDs or Symbol names
- Auto-differentiates transformation functions via ForwardDiff if derivatives not provided
- Graph traversal finds paths automatically between any connected frames
- Ephemerides.jl loaded via package extension