Path: FormationFlying/Transformation
% Compute a Hills state from geometric goals
Computes the desired relative position and velocity in Hills frame, given the
formation flying geometric "goals" and the reference orbital elements.
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Form:
xH = Goals2Hills( el0, goals )
xH = Goals2Hills( n, theta, goals )
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Inputs
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el0 (1,6) Reference orbital elements (Alfriend format) [a,th,i,q1,q2,W]
-or-
n (1) Mean orbit rate [rad/sec]
theta (1) True latitude [rad]
goals (.) Geometric goals data structure with following fields:
- y0 (1,:) along-track offset [km]
- aE (1,:) semi-major axis of relative ellipse [km]
- beta (1,:) angle on ellipse at perigee [rad]
- zInc (1,:) cross-track amplitude due to inclination diff [km]
- zLan (1,:) cross-track amplitude due to right ascen diff [km]
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Outputs
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xH (6,:) Hills frame position and velocity
[km; km; km; km/s; km/s; km/s]
[ x; y; z; Vx; Vy; Vz]
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References: Mueller, J. and M. Brito,"A Distributed Flight Software Design
for Satellite Formation Flying Control," presented at the AIAA
Space 2003 Conference, Long Beach, CA, September 2003.
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FormationFlying: Coord/CirclePhase SC: BasicOrbit/OrbRate Common: CommonData/SwooshWatermark Common: General/CellToMat Common: General/MatToCell Common: General/Watermark Common: Graphics/NewFig Common: Graphics/Plot2D Common: Graphics/PltStyle Math: Trigonometry/WrapPhase
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