Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
A new set of integrals of motion to propagate the perturbed two-body problem
Year:2013
Research Areas
  • Aeronautical engineering
Information
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.
International
Si
JCR
Si
Title
Celestial Mechanics And Dynamical Astronomy
ISBN
0923-2958
Impact factor JCR
Impact info
Volume
116
10.1007/s10569-013-9475-x
Journal number
1
From page
53
To page
78
Month
MAYO
Ranking
Participants
  • Autor: Giulio Baù (CISAS "G. Colombo" University of Padova, Italy)
  • Autor: Claudio Bombardelli (UPM)
  • Autor: Jesus Pelaez Alvarez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Física Aplicada a la Ingeniería Aeronáutica
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)