On the Stability of Artificial Equilibrium Points in the Circular Restricted Three Body Problem

Bombardelli, Claudio and Peláez Álvarez, Jesús (2011). On the Stability of Artificial Equilibrium Points in the Circular Restricted Three Body Problem. "Celestial Mechanics and Dynamical Astronomy", v. 109 (n. 1); pp. 13-26. ISSN 0923-2958. https://doi.org/10.1007/s10569-010-9317-z.

Description

Title: On the Stability of Artificial Equilibrium Points in the Circular Restricted Three Body Problem
Author/s:
  • Bombardelli, Claudio
  • Peláez Álvarez, Jesús
Item Type: Article
Título de Revista/Publicación: Celestial Mechanics and Dynamical Astronomy
Date: January 2011
ISSN: 0923-2958
Volume: 109
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Física Aplicada a la Ingeniería Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The article analyses the stability properties of minimum-control artificial equilibrium points in the planar circular restricted three-body problem. It is seen that when the masses of the two primaries are of different orders of magnitude, minimum-control equilibrium is obtained when the spacecraft is almost coorbiting with the second primary as long as their mutual distance is not too small. In addition, stability is found when the distance from the second primary exceeds a minimum value which is a simple function of the mass ratio of the two primaries and their separation. Lyapunov stability under non-resonant conditions is demonstrated using Arnold’s theorem. Among the most promising applications of the concept we find solar-sail-stabilized observatories coorbiting with the Earth, Mars, and Venus

More information

Item ID: 9475
DC Identifier: http://oa.upm.es/9475/
OAI Identifier: oai:oa.upm.es:9475
DOI: 10.1007/s10569-010-9317-z
Official URL: http://www.springerlink.com/content/j7gg35u45034whmq/
Deposited by: Memoria Investigacion
Deposited on: 08 Nov 2011 12:37
Last Modified: 20 Apr 2016 17:52
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