Memorias de investigación
Artículos en revistas:
Error propagation in relative motion
Año:2015
Áreas de investigación
  • Tecnología espacial,
  • Ingeniería aeronaútica
Datos
Descripción
This paper explores the connection between the concept of synchronism and the accuracy of the solutions to relative motion. If the problem is formulated using an independent variable different from time it is possible to escape from the standard time-synchronism, obtaining an asynchronous solution. The synchronism may be recovered through a first order correction. This correction is based on the dynamics of the problem, and higher-order terms are easily retained. A second order correction introduces nonlinear effects in the solution through simple mechanisms, and improves its accuracy. The proposed correction is a generic concept not restricted to any particular formulation. To illustrate this assertion the second order correction is applied to the Clohessy-Wiltshire solution and to the Yamanaka-Ankersen state transition matrix. The fundamentals of synchronism are introduced by deriving the variational solution to relative motion using the equinoctial orbital elements. Numerical results show that the corrected solutions may reduce the error by several orders of magnitude, both in position and velocity. The corrected solution may be more accurate than the exact solution to the second and third-order equations of motion in long-term propagations.
Internacional
Si
JCR del ISI
No
Título de la revista
Advances in the Astronautical Sciences
ISSN
1081-6003
Factor de impacto JCR
Información de impacto
Volumen
155
DOI
Número de revista
Desde la página
2035
Hasta la página
2054
Mes
SIN MES
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Participantes
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  • Creador: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval