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Long Propagation Periods of Residuals in the Motion of a Comet

Published online by Cambridge University Press:  14 August 2015

T. Kiang
T. Kiang*
Affiliation:
Dunsink Observatory, Castleknock, County Dublin, Ireland.

Extract

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P/Halley In a previous paper (Kiang 1973), I derived a differential equation which governs the behaviour of the residual O - C in the time of perihelion passage of a comet. The work was stimulated by the discovery (Brady 1972) that a long periodicity of about 600 years seemed to be present in the residual for P/Halley. The derivation was based on the following assumptions:

  1. 1. The system consists of only the Sun, Jupiter and P/Halley, and Jupiter is assumed to move in a circular orbit with a period P′ = 11.8614 yr.

  2. 2. P/Halley is assumed to move in a fixed Keplerian orbit with a period P = (13/2) P′ exactly, so that the whole system is strictly recurrent with a period Po = 13 P′ = 154.198 yr.

Type
Part VI: Comets
Information
Symposium - International Astronomical Union , Volume 81: Dynamics of the Solar System , 1979 , pp. 303 - 306
Copyright
Copyright © Reidel 1979 

References

Brady, J.L., (1972) Pub. astr. Soc. Pacific , 84, 314–322.CrossRefGoogle Scholar
Hill, G.W., (1886) Acta Math. , 8, 1–36.Google Scholar
Kiang, T., (1973) Mon. Not. astr. Soc. , 162, 271–287.Google Scholar
Marsden, B.G., (1973) Private correspondence.Google Scholar
Tian-shan, Zhuang (1977) Chinese Astronomy 1, 197–220; first published in Chinese in Acta Astronomica Sinica 14 (1966) 37-58.Google Scholar