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Foundations of a theory of the motion of the orbit plane of Hyperion

Published online by Cambridge University Press:  25 May 2016

P.J. Message
P.J. Message*
Affiliation:
University of Liverpool, L69 3BX, U.K. sx20@liverpool.ac.uk

Abstract

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The principles are set out for the construction of a theory of the motion of the orbit plane of Hyperion, using the mixed set of angle parameters, using different reference planes for different angles, which it has proved convenient to use. It is found that this leads to additional terms, which have not been shown in previous published theories. The theory is developed in general principles exactly, and in detail as far as is needed to enable comparison to be made with the observational data at present available, and, from parameters which have been derived from opposition means from the period 1875 to 1922, the co-efficients of some of the larger long-period terms are computed.

Type
Part III - Satellites: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 127 - 136
Copyright
Copyright © Kluwer 1996 

References

Message, P.J., 1989, “The use of computer algorithms in the construction of a theory of the long-period perturbations of Saturn's satellite Hyperion”. Celest. Mech. Dyn. Astron. 45, 45–53.CrossRefGoogle Scholar
Message, P.J., 1993, “On the second-order long-period motion of Hyperion”. Celest. Mech. Dyn. Astron. 56, 277–284.CrossRefGoogle Scholar
Woltjer, J., 1928, “The motion of Hyperion”. Annalen van der Sterrewacht Leiden XVI, Part 3.Google Scholar