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23JR122hsin L k cos LeJ 1242 22r2r 1h k2J2t212JR2 e 4r 1h khsin L k cos Lhcos L k sin L2 22J2n2 21 h k hsin L k cos L26JR2 e 4r 1h k2 22These are the equations implemented in this computer program.page 22
Algorithm resourcesAn Introduction to the Mathematics and Methods of Astrodynamics, Richard H. Battin, AIAA EducationSeries, 1987.Analytical Mechanics of Space Systems, Hanspeter Schaub and John L. Junkins, AIAA EducationSeries, 2003.Spacecraft Mission Design, Charles D. Brown, AIAA Education Series, 1992.Orbital Mechanics, Vladimir A. Chobotov, AIAA Education Series, 2002.“Optimal Low Thrust Trajectories to the Moon”, John T. Betts and Sven O. Erb, SIAM Journal onApplied Dynamical Systems, Vol. 2, No. 2, pp. 144-170, 2003.“A Set of Modified Equinoctial Orbital Elements”, M. J. H. Walker, B. Ireland and J. Owens, CelestialMechanics, Vol. 36, pp. 409-419, 1985.“On the Equinoctial Orbital Elements”, R. A. Brouke and P. J. Cefola, Celestial Mechanics, Vol. 5, pp.303-310, 1972.“Optimal Interplanetary Orbit Transfers by Direct Transcription”, John T. Betts, The Journal of theAstronautical Sciences, Vol. 42, No. 3, July-September 1994, pp. 247-268.“Using Sparse Nonlinear Programming to Compute Low Thrust Orbit Transfers”, John T. Betts, TheJournal of the Astronautical Sciences, Vol. 41, No. 3, July-September 1993, pp. 349-371.“Equinoctial Orbit Elements: Application to Optimal Transfer Problems”, Jean A. Kechichian, AIAA90-2976, AIAA/AAS Astrodynamics Conference, Portland, OR, 20-22 August 1990.page 23
Page 1 and 2: Program leo2geo_ocsContinuous Low-T
Page 3 and 4: Dynamics, Vol. 22, No. 3, May-June
Page 5 and 6: ************************* initial g
Page 7 and 8: The level of output from the differ
Page 9 and 10: This next plot illustrates the beha
Page 11 and 12: page 11
Page 13: The Edelbaum algorithm is described
Page 16 and 17: wheremsc iis the initial spacecraft
Page 18 and 19: dhh dt2p s 2wncos Ldkk dt2p s 2w
Page 20 and 21: sin 1uTr1tan uT,nThe pitch angle is
Page 24 and 25: APPENDIX AContents of the Simulatio
Page 26 and 27: APPENDIX BTypical Sparse Optimizati

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