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Memorias de investigación
Artículos en revistas:
The theory of asynchronous relative motion I: Time transformations and nonlinear terms
Año:2017
Áreas de investigación
  • Ciencias del espacio,
  • Tecnología espacial,
  • Ingeniería aeronaútica
Datos
Descripción
Using alternative independent variables in lieu of time has important advantages when propagating the partial derivatives of the trajectory. This paper focuses on spacecraft relative motion, but the concepts presented here can be extended to any problem involving the variational equations of orbital motion. A usual approach for modeling the relative dynamics is to evaluate how the reference orbit changes when modifying the initial conditions slightly. But when the time is a mere dependent variable, changes in the initial conditions will result in changes in time as well: a time delay between the reference and the neighbor solution will appear. The theory of asynchronous relative motion shows how the time delay can be corrected to recover the physical sense of the solution and, more importantly, how this correction can be used to improve significantly the accuracy of the linear solutions to relative motion found in the literature. As an example, an improved version of the Clohessy-Wiltshire (CW) solution is presented explicitly. The correcting terms are extremely compact, and the solution proves more accurate than the second and even third order CW equations for long propagations. The application to the elliptic case is also discussed. The theory is not restricted to Keplerian orbits, as it holds under any perturbation. To prove this statement, two examples of realistic trajectories are presented: a pair of spacecraft orbiting the Earth and perturbed by a realistic force model; and two probes describing a quasi-periodic orbit in the Jupiter-Europa system subject to third-body perturbations. The numerical examples show that the new theory yields reductions in the propagation error of several orders of magnitude, both in position and velocity, when compared to the linear approach.
Internacional
Si
JCR del ISI
Si
Título de la revista
Celestial Mechanics & Dynamical Astronomy
ISSN
0923-2958
Factor de impacto JCR
2,084
Información de impacto
Datos JCR del año 2013
Volumen
127
DOI
10.1007/s10569-016-9728-6
Número de revista
3
Desde la página
301
Hasta la página
330
Mes
ENERO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Javier Roa Vicens (UPM)
  • Autor: Jesus Pelaez Alvarez (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval
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