SubL1Accel:
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Find a sail acceleration to maintain a Sub-L1 station.
L1 is at about 0.01 AU, equivalent to about 237 Earth radii.
Assumes a circular orbit of the Earth-Moon barycenter at 1 AU.
The angles theta and phi measure the displacement of the sail from the
Sun-Earth line.
Note: Unlike Carl Sauer's plotted results, a nonzero theta or phi seem to
push the acceleration completely off the radial direction.
Since version 7.
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Form:
[a, a0, alpha] = SubL1Accel( dX, theta, phi )
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Inputs
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dX Distance from the Earth, AU
theta Ecliptic longitude (rad)
phi Ecliptic latitude (rad)
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Outputs
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a Sail acceleration at station
a0 Characteristic accel, km/s2
alpha Sail normal angle
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Reference: Carl G. Sauer, The L1 Diamond Affair. 14th AAS/AIAA Space Flight
Mechanics Conference. Maui, Hawaii, 2004. AAS 04-278
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Children:
Math: Linear/Mag
Math: Linear/Unit