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Epicycles and oscillations: The dynamics of the LISA orbits

Sweetser, Theodore H. (2006) Epicycles and oscillations: The dynamics of the LISA orbits. In: Astrodynamics 2005. Advances in the Astronautical Sciences. No.123. American Astronautical Society , San Diego, CA, pp. 693-711. ISBN 0-87703-527-X.

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This paper presents a modern treatment of epicycle theory, which is an exact series representation of Keplerian motion, and uses that theory to develop the first analytic method for analyzing the higher order dynamics of the LISA orbits. LISA, the Laser Interferometer Space Antenna mission, uses a constellation of three spacecraft in heliocentric space and takes advantage of particular solutions of the Clohessy-Wiltshire equations, a first-order approximation of gravitational dynamics, to keep the constellation an equilateral triangle. The higher-order analysis presented here suggests a modification of the basic LISA orbit architecture which may improve the stability of the constellation.

Item Type:Book Section
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Additional Information:© 2006 American Astronautical Society. This research was performed at the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration.
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Series Name:Advances in the Astronautical Sciences
Issue or Number:123
Record Number:CaltechAUTHORS:20110809-092501963
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Official Citation:Epicycles and Oscillations: the Dynamics of the LISA Orbits By: Theodore H. Sweetser. Pub. 2006, 19pgs. PDF File. AAS 05-292.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:24754
Deposited By: Ruth Sustaita
Deposited On:09 Aug 2011 18:15
Last Modified:03 Oct 2019 02:59

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