Path: FormationFlying/Transformation
% Convert Hills state to geometric goals
Reconstructs the geometric goals from the relative position and velocity in
Hills frame. The reference orbital elements are also required.
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Form:
goals = Hills2Goals( el0, xH );
-or-
goals = Hills2Goals( n, theta, xH );
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Inputs
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el0 (1,6) Reference orbital elements (Alfriend format) [a,theta,i,q1,q2,W]
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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Outputs
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goals (.) Geometric goals data structure with following fields:
- y0 (1,:) along-track offset [km]
- aE (1,:) semi-major axis of relative ellipse [km]
- beta0 (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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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/EllipsePhase FormationFlying: DataStructures/Geometry_Structure 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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