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Urrutxua Cereijo, Hodei and Morante González, David and Peláez Álvarez, Jesús and Sanjurjo Rivo, Manuel (2015). DROMO formulation for planar motions: Solution to the Tsien Problem. "Celestial Mechanics and Dynamical Astronomy", v. 122 (n. 2); pp. 143-168. ISSN 0923-2958. https://doi.org/10.1007/s10569-015-9613-8.
Title: | DROMO formulation for planar motions: Solution to the Tsien Problem |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Celestial Mechanics and Dynamical Astronomy |
Date: | March 2015 |
ISSN: | 0923-2958 |
Volume: | 122 |
Subjects: | |
Freetext Keywords: | DROMO, Planar motion, Radial thrust, Tsien problema, Time regularization, Numerical propagation of orbits |
Faculty: | E.T.S.I. Aeronáuticos (UPM) |
Department: | Física Aplicada a las Ingenierías Aeronáutica y Naval |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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The two-body problem subject to a constant radial thrust is analyzed as a planar motion. The description of the problem is performed in terms of three perturbation methods: DROMO and two others due to Deprit. All of them rely on Hansen?s ideal frame concept. An explicit, analytic, closed-form solution is obtained for this problem when the initial orbit is circular (Tsien problem), based on the DROMO special perturbation method, and expressed in terms of elliptic integral functions. The analytical solution to the Tsien problem is later used as a reference to test the numerical performance of various orbit propagation methods, including DROMO and Deprit methods, as well as Cowell and Kustaanheimo?Stiefel methods.
Type | Code | Acronym | Leader | Title |
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Government of Spain | ESP2013-41634-P | Unspecified | Unspecified | Análisis dinámico, propagación orbital avanzada y simulación de sistemas espaciales complejos |
Item ID: | 35737 |
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DC Identifier: | https://oa.upm.es/35737/ |
OAI Identifier: | oai:oa.upm.es:35737 |
DOI: | 10.1007/s10569-015-9613-8 |
Official URL: | http://link.springer.com/article/10.1007/s10569-015-9613-8 |
Deposited by: | Memoria Investigacion |
Deposited on: | 17 Jun 2015 16:56 |
Last Modified: | 31 May 2019 14:06 |