A special perturbation method in orbital dynamics

Peláez Álvarez, Jesús and Hedo Rodríguez, José Manuel and Rodriguez de Andrés, Pedro (2007). A special perturbation method in orbital dynamics. "Celestial Mechanics and Dynamical Astronomy", v. 97 (n. 2); pp. 131-150. ISSN 0923-2958.


Title: A special perturbation method in orbital dynamics
  • Peláez Álvarez, Jesús
  • Hedo Rodríguez, José Manuel
  • Rodriguez de Andrés, Pedro
Item Type: Article
Título de Revista/Publicación: Celestial Mechanics and Dynamical Astronomy
Date: February 2007
Volume: 97
Freetext Keywords: Special perturbations · Orbital dynamics · Numerical methods . Propagation of orbits
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - Non commercial - Share

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Official URL: http://www.springerlink.com/content/1h07836153484538/


The special perturbation method considered in this paper combines simplicity of computer implementation, speed and precision, and can propagate the orbit of any material particle. The paper describes the evolution of some orbital elements based in Euler parameters, which are constants in the unperturbed problem, but which evolve in the time scale imposed by the perturbation. The variation of parameters technique is used to develop expressions for the derivatives of seven elements for the general case, which includes any type of perturbation. These basic differential equations are slightly modified by introducing one additional equation for the time, reaching a total order of eight. The method was developed in the Grupo de Dinámica de Tethers (GDT) of the UPM, as a tool for dynamic simulations of tethers. However, it can be used in any other field and with any kind of orbit and perturbation. It is free of singularities related to small inclination and/or eccentricity. The use of Euler parameters makes it robust. The perturbation forces are handled in a very simple way: the method requires their components in the orbital frame or in an inertial frame. A comparison with other schemes is performed in the paper to show the good performance of the method.

More information

Item ID: 9819
DC Identifier: http://oa.upm.es/9819/
OAI Identifier: oai:oa.upm.es:9819
Deposited by: CU Jesús Peláez Álvarez
Deposited on: 08 Dec 2011 08:02
Last Modified: 20 Apr 2016 18:06
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