Impact of the integration stop-condition on the accuracy of regularized orbit formulations

Urrutxua, Hodei and Pelaez Alvarez, Jesus and Bombardelli, Claudio (2016). Impact of the integration stop-condition on the accuracy of regularized orbit formulations. "Advances in the Astronautical Sciences", v. 158 (n. Part-I); pp. 2503-2516. ISSN 1081-6003.

Description

Title: Impact of the integration stop-condition on the accuracy of regularized orbit formulations
Author/s:
  • Urrutxua, Hodei
  • Pelaez Alvarez, Jesus
  • Bombardelli, Claudio
Item Type: Article
Título de Revista/Publicación: Advances in the Astronautical Sciences
Date: 2016
Volume: 158
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
UPM's Research Group: Dinámica Espacial SDG-UPM
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The tight relationship between the stop-condition of a numerical integrator and the resulting accuracy of regularized orbit propagators is addressed. It is noted that the use of events as a means to halt the numerical orbit propagation introduces timing or phasing errors in formulations involving a Sundman transformation. The fundamentals of this timing error are described, along with the mechanisms that produce this apparent loss in the achievable accuracy. This behavior is linked to the dynamical instabilities of the orbital motion. Examples are provided to support that the purely geometrical description provided by regularized methods is typically orders of magnitude more accurate than when the timing error is taken into account.

Funding Projects

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

More information

Item ID: 52056
DC Identifier: http://oa.upm.es/52056/
OAI Identifier: oai:oa.upm.es:52056
Deposited by: Memoria Investigacion
Deposited on: 11 Oct 2018 10:09
Last Modified: 25 Mar 2019 16:04
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