A new set of integrals of motion to propagate the perturbed two-body problem

Bau, Giulio and Bombardelli, Claudio and Peláez Álvarez, Jesús (2013). A new set of integrals of motion to propagate the perturbed two-body problem. "Celestial Mechanics And Dynamical Astronomy", v. 116 (n. 1); pp. 53-78. ISSN 0923-2958. https://doi.org/10.1007/s10569-013-9475-x.

Description

Title: A new set of integrals of motion to propagate the perturbed two-body problem
Author/s:
  • Bau, Giulio
  • Bombardelli, Claudio
  • Peláez Álvarez, Jesús
Item Type: Article
Título de Revista/Publicación: Celestial Mechanics And Dynamical Astronomy
Date: 2013
ISSN: 0923-2958
Volume: 116
Subjects:
Freetext Keywords: Perturbed two-body problem, Regularization, Generalized orbital elements, Orbit propagation, Linearization
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A formulation of the perturbed two-body problem that relies on a new set of orbital elements is presented. The proposed method represents a generalization of the special perturbation method published by Peláez et al. (Celest Mech Dyn Astron 97(2):131?150,2007) for the case of a perturbing force that is partially or totally derivable from a potential. We accomplish this result by employing a generalized Sundman time transformation in the framework of the projective decomposition, which is a known approach for transforming the two-body problem into a set of linear and regular differential equations of motion. Numerical tests, carried out with examples extensively used in the literature, show the remarkable improvement of the performance of the new method for different kinds of perturbations and eccentricities. In particular, one notable result is that the quadratic dependence of the position error on the time-like argument exhibited by Peláez?s method for near-circular motion under the J2 perturbation is transformed into linear.Moreover, themethod reveals to be competitive with two very popular elementmethods derived from theKustaanheimo-Stiefel and Sperling-Burdet regularizations.

More information

Item ID: 33437
DC Identifier: http://oa.upm.es/33437/
OAI Identifier: oai:oa.upm.es:33437
DOI: 10.1007/s10569-013-9475-x
Official URL: http://link.springer.com/article/10.1007/s10569-013-9475-x
Deposited by: Memoria Investigacion
Deposited on: 19 Jan 2015 18:49
Last Modified: 19 Jan 2015 18:49
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