Error propagation in relative motion

Roa Vicens, Javier and Gómez Mora, José Ignacio and Pelaez Alvarez, Jesus (2015). Error propagation in relative motion. In: "25th AAS/AIAA Space Flight Mechanics Meeting", 11-15 ene 2015, Williamsburg, Estados Unidos. ISBN 978-0-87703-623-4. pp. 2035-2054.


Title: Error propagation in relative motion
  • Roa Vicens, Javier
  • Gómez Mora, José Ignacio
  • Pelaez Alvarez, Jesus
Item Type: Presentation at Congress or Conference (Article)
Event Title: 25th AAS/AIAA Space Flight Mechanics Meeting
Event Dates: 11-15 ene 2015
Event Location: Williamsburg, Estados Unidos
Title of Book: AAS/AIAA Space Flight Mechanics Meeting 2015. Advances in the Astronautical Sciences Series
Date: 2015
ISBN: 978-0-87703-623-4
Volume: 155
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Física Aplicada a las Ingenierías Aeronáutica y Naval
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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 ClohessyWiltshire 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.

Funding Projects

Government of SpainESP2013- 41634-PUnspecifiedUnspecifiedDynamical analysis, advanced orbital propagation, and simulation of complex space systems

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Item ID: 40302
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Deposited by: Memoria Investigacion
Deposited on: 10 Nov 2016 09:42
Last Modified: 10 Nov 2016 09:42
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