Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Error propagation in relative motion
Year:2015
Research Areas
  • Space technology,
  • Aeronautical engineering
Information
Abstract
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.
International
Si
JCR
No
Title
Advances in the Astronautical Sciences
ISBN
1081-6003
Impact factor JCR
Impact info
Volume
155
Journal number
From page
2035
To page
2054
Month
SIN MES
Ranking
Participants
  • Autor: Javier Roa Vicens (UPM)
  • Autor: Jesus Pelaez Alvarez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval
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)