Observatorio de I+D+i UPM

Descripción
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.
Internacional	Si
JCR del ISI	Si
Título de la revista	Celestial Mechanics And Dynamical Astronomy
ISSN	0923-2958
Factor de impacto JCR
Información de impacto
Volumen	116
DOI	10.1007/s10569-013-9475-x
Número de revista	1
Desde la página	53
Hasta la página	78
Mes	MAYO
Ranking

Esta actividad pertenece a memorias de investigación

• Autor: Giulio Baù (CISAS "G. Colombo" University of Padova, Italy)
• Autor: Claudio Bombardelli (UPM)
• Autor: Jesus Pelaez Alvarez (UPM)

• Creador: Departamento: Física Aplicada a la Ingeniería Aeronáutica