Abstract
The Kustaanheimo-Stiefel transformation and perturbation techniques are employed in deriving approximate closed-form expressions for the trajectories of bodies coasting about an oblate Earth. The solutions are used to obtain Lambert type solutions which include oblateness effects.
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References
Stiefel, E. L. and Scheifele, G.: 1971,Linear and Regular Celestial Mechanics, Springer-Verlag.
Jezewski, D. J.: 1975, ‘Shuttle Program K/S Lambert and Deorbit Problems’, Johnson Space Center Internal Note No. 75-FM-41.
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Research primarily supported by a NASA-ASEE Fellowship, supporting work with the Mission Planning and Analysis Division, Johnson Space Center.
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Andrus, J.F. First-order effects of the Earth's oblateness upon coasting bodies. Celestial Mechanics 15, 217–224 (1977). https://doi.org/10.1007/BF01228463
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DOI: https://doi.org/10.1007/BF01228463