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

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

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.

1067-1084
American Astronautical Society
Armellin, Roberto
fb6044e3-c3fd-4a3d-a150-592efb2c0365
Wittig, Alexander
3a140128-b118-4b8c-9856-a0d4f390b201
Juan, Juan Felix San
a235a476-17c7-4501-a893-9f884262e464
Majji, Manoranjan
Turner, James D.
Wawzyniak, Geoff G.
Cerven, Williams Todd
Armellin, Roberto
fb6044e3-c3fd-4a3d-a150-592efb2c0365
Wittig, Alexander
3a140128-b118-4b8c-9856-a0d4f390b201
Juan, Juan Felix San
a235a476-17c7-4501-a893-9f884262e464
Majji, Manoranjan
Turner, James D.
Wawzyniak, Geoff G.
Cerven, Williams Todd

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 .

Record type: Conference or Workshop Item (Paper)

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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More information

Published date: 2016
Venue - Dates: AAS/AIAA Astrodynamics Specialist Conference, ASC 2015, Vail, United States, 2015-08-09 - 2015-08-13

Identifiers

Local EPrints ID: 419785
URI: https://eprints.soton.ac.uk/id/eprint/419785
PURE UUID: 7ee1dc48-d824-400b-a2cd-6c3d53c5afd7
ORCID for Alexander Wittig: ORCID iD orcid.org/0000-0002-4594-0368

Catalogue record

Date deposited: 20 Apr 2018 16:30
Last modified: 07 Aug 2019 00:25

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