Path: FormationFlying/Analysis
% Compare the delta-v and trajectory for two methods of relative orbit control.
- The "LP" method, which uses Simplex
- The "Closed-Form" method, which involves 3 in-plane burns at
half-orbit increments
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Form:
[uLP,uCF,xLP,xCF] = LPvsCF( el0, g0, gF, nSPO, nOrbMvr, nOrbSim );
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Inputs
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el0 (1,6) Reference orbital elements
g0 (.) Initial state, expressed in geometric goal format
gF (.) Final state, expressed in geometric goal format
nSPO (1) Time step [sec]
nOrbMvr (1) Number of orbits to allow for maneuver
nOrbSim (1) Number of orbits to simulate (must be >= nOrbMvr)
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Outputs
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uLP (3,N) Acceleration vector from Linear Program method [m/s]
uCF (3,N) Acceleration vector from closed-form method [m/s]
xLP (6,N) State vector from Linear Program method [km; km/s]
xCF (6,N) State vector from closed-form method [km; km/s]
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References: Inalhan, Tillerson, How, "Relative Dynamics and Control of
Spacecraft Formations in Eccentric Orbits", Journal of Guidance,
Control & Dynamics, Vol.25, No.1, Jan-Feb 2002.
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AC: ACData/ACTConstants FormationFlying: Control/InPlane FormationFlying: Control/OptimalInPlaneDeltaV FormationFlying: Coord/CirclePhase FormationFlying: Dynamics/DiscreteHills FormationFlying: LP/LPCircular FormationFlying: Transformation/DeltaElem2Hills FormationFlying: Transformation/Goals2DeltaElem FormationFlying: Transformation/Goals2Hills FormationFlying: Transformation/Hills2DeltaElem FormationFlying: Utility/TimeUntilTheta Orbit: RHSOrbit/LinOrb SC: BasicOrbit/E2M SC: BasicOrbit/Nu2E SC: BasicOrbit/Nu2M SC: BasicOrbit/OrbRate SC: BasicOrbit/Period SC: SCData/sCTConstants Common: CommonData/Constants Common: CommonData/SwooshWatermark Common: CommonData/xSplashSmall Common: Control/C2DZOH Common: Database/Constant Common: General/CellToMat Common: General/DeleteCell Common: General/DispWithTitle Common: General/MatToCell Common: General/Watermark Common: Graphics/NewFig Common: Graphics/Plot2D Common: Graphics/PltStyle Math: Analysis/Simplex Math: Analysis/Simplex2 Math: Linear/DupVect Math: Linear/InvP Math: Linear/Mag Math: Trigonometry/WrapPhase
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