DROMO formulation for planar motions: Solution to the Tsien Problem

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.

Description

Title: DROMO formulation for planar motions: Solution to the Tsien Problem
Author/s:
  • Urrutxua Cereijo, Hodei
  • Morante González, David
  • Peláez Álvarez, Jesús
  • Sanjurjo Rivo, Manuel
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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Abstract

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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainESP2013-41634-PUnspecifiedUnspecifiedAnálisis dinámico, propagación orbital avanzada y simulación de sistemas espaciales complejos

More information

Item ID: 35737
DC Identifier: http://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
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