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This HP Prime program can be used to estimate the propulsive delta-v required
for aeroassisted coplanar orbital transfer from a high Earth orbit (HEO)
to a lower Earth orbit (LEO). Both the initial and final orbits are
assumed to be circular. The equations used in this algorithm are described
in “Fuel-Optimal Trajectories for Aeroassisted Coplanar Orbital Transfer
Problem”, IEEE Transactions on Aerospace and Electronic Systems, Vol. 26,
No. 2, March 1990, pg. 374-380. Another excellent technical discussion
can be found in “Minimum-Fuel Aeroassisted Coplanar Orbit Transfer Using
Lift-Modulation”, AIAA Journal of Guidance, Control and Dynamics, Vol. 8,
No. 1, Jan.-Feb. 1985.