High order transfer map method and general perturbation techniques applied to perturbed keplerian motion

Armellin, Roberto, Wittig, Alexander and Juan, Juan Felix San (2016) High order transfer map method and general perturbation techniques applied to perturbed keplerian motion. Majji, Manoranjan, Turner, James D., Wawzyniak, Geoff G. and Cerven, Williams Todd (eds.) In Astrodynamics 2015: Proceedings of the AAS/AIAA Astrodynamics Specialist Conference. vol. 156, American Astronautical Society. pp. 1067-1084 .

Abstract

The present international concern in space situational awareness has produced a renewed interest in efficient methods for propagation of catalogs of data. Recently, a new technique called high-order transfer map (HOTM) method has been proposed to deal with the problem of perturbed Keplerian dynamics. This technique is based on the numerical integration of a single orbital revolution in differential algebra arithmetic, yielding an analytical high order approximation of the true transfer map. It is then followed by its repeated analytical evaluation to advance the orbital propagation by several orbital periods. The main focus of this work is to extend the HOTM approach in the case of highly non-autonomous perturbations and to compare it with analytical and semi-analytical propagators based on Lie transforms. Objects in Low Earth Orbit, Geosynchronous Transfer Orbit, and a Molniya orbit are used as test cases.

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Contributors

Author: Alexander Wittig

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