Path: AerospaceUtils/Coord
% Generate the quaternion that transforms from the ECI to the Hills frame.
The coordinates of the Hills frame are defined as:
x: Radial
z: Orbit-normal, or cross-track
y: Completes RHS (Along-track for circular orbits)
The relative position vector in the Frenet frame can be computed as:
rF = QForm( qEF, drE );
where dr is the relative position vector in the ECI frame. Or you may obtain
the transformation matrix, mEF, as the second output. In this case, use:
rF = mEF*drE;
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Usages:
qEH = QHills( rE, vE );
[qEH,mEH] = QHills( rE, vE );
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Inputs
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rE (3,n) Position vectors
vE (3,n) Velocity vectors
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Outputs
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qEH (4,n) Quaternions
qEH (4,n) Quaternions
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Common: CommonData/SwooshWatermark Common: General/CellToMat Common: General/MatToCell Common: General/Watermark Common: Graphics/NewFig Common: Graphics/Plot2D Common: Graphics/PltStyle Common: Quaternion/Mat2Q Math: Linear/Cross Math: Linear/Unit
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