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Memorias de investigación
Artículos en revistas:
The theory of asynchronous relative motion II: Universal and regular solutions
Año:2017
Áreas de investigación
  • Ciencias del espacio,
  • Tecnología espacial,
  • Ingeniería aeronaútica
Datos
Descripción
Two fully regular and universal solutions to the problem of spacecraft relative motion are derived from the Sperling?Burdet (SB) and the Kustaanheimo?Stiefel (KS) regularizations. There are no singularities in the resulting solutions, and their form is not affected by the type of reference orbit (circular, elliptic, parabolic, or hyperbolic). In addition, the solutions to the problem are given in compact tensorial expressions and directly referred to the initial state vector of the leader spacecraft. The SB and KS formulations introduce a fictitious time by means of the Sundman transformation. Because of using an alternative independent variable, the solutions are built based on the theory of asynchronous relative motion. This technique simplifies the required derivations. Closed-form expressions of the partial derivatives of orbital motion with respect to the initial state are provided explicitly. Numerical experiments show that the performance of a given representation of the dynamics depends strongly on the time transformation, whereas it is virtually independent from the choice of variables to parameterize orbital motion. In the circular and elliptic cases, the linear solutions coincide exactly with the results obtained with the Clohessy?Wiltshire and Yamanaka?Ankersen state-transition matrices. Examples of relative orbits about parabolic and hyperbolic reference orbits are also presented. Finally, the theory of asynchronous relative motion provides a simple mechanism to introduce nonlinearities in the solution, improving its accuracy.
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/s10569-016-9730-z
Número de revista
3
Desde la página
343
Hasta la página
368
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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