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The orbital stability of the Sun-Jupiter-Saturn system

Investigation of the Triple System by Mass Enhancement and Variation of Eccentricity

Published online by Cambridge University Press:  25 May 2016

J. R. Donnison  and
D. F. Mikulskis
J. R. Donnison
Affiliation:
Department of Mathematical Sciences, Goldsmiths College, University of London, New Cross, London, SE14 6NW
D. F. Mikulskis
Affiliation:
Department of Mathematical Sciences, Goldsmiths College, University of London, New Cross, London, SE14 6NW

Abstract

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Kuiper(1973) suggested that the stability of the Solar System may be meaningfully investigated by studying the stability of the Sun-Jupiter-Saturn system. Numerical investigations by Nacozy(1976) showed that mass enhancement of the two planets beyond a factor of 29.25 led to instabilities in the system. In this new investigation similar mass enhancements were studied in detail numerically and compared with the analytical values derived from the c2H method. In addition, the eccentricities of the two planets were varied as well as their masses. It was found that the system soon showed signs of instability for the increased eccentricities when the masses of the planets were enhanced by fairly small factors.

Type
Part II - Planets and Moon: Theory and Ephemerides
Information
Symposium - International Astronomical Union , Volume 172: Dynamics, Ephemerides and Astrometry of the Solar System , 1996 , pp. 53 - 56
Copyright
Copyright © Kluwer 1996 

References

Donnison, J.R. & Mikulskis, D.F. (1995) MNRAS, 272, 1.CrossRefGoogle Scholar
Dormand, J.R., El-Mikkawy, M.E.A. & Prince, P.J. (1987) IMA J. Num. Analy., 7, 235.Google Scholar
Kuiper, G. (1973) Celest. Mech., 9, 321.Google Scholar
Nacozy, P.E. (1976) Astron. J., 81, 787.Google Scholar
Szebehely, V. & McKenzie, R. (1977) Astron. J., 82, 79.Google Scholar
Walker, I.W. & Roy, A.E. (1981) Celest. Mech., 24, 195.Google Scholar