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Perturbations due to the Asteroid Belt

Published online by Cambridge University Press:  12 April 2016

Tong Fu  and
Chen Zhen
Tong Fu
Affiliation:
Purple Mountain Observatory, Nanjing, China
Chen Zhen
Affiliation:
Purple Mountain Observatory, Nanjing, China

Abstract

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A new expansion for the gravitational potential of the asteroid belt is derived in this paper on the basis of binomial expansions. Its advantages are: (1)the unified form both for the inner and for the outer regions of the belt; (2)suitability for discussing the motions of the celestial bodies with perihelions within but apohelions beyond the belt; (3)rapidity of convergence.

The perturbations due to the asteroid belt are studied by using our expansion.

Type
Part I - Satellites and Planets
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 73 - 79
Copyright
Copyright © Reidel 1983

References

Mayo, A.P. 1979, Celest. Mech., Vol. 19, p.317 CrossRefGoogle Scholar
Plakhov, Yu.V. 1968, Translation of Russian “Geodesy & Aerophotography”, Vol. 1, p. 38 Google Scholar
Liu, A.S. et al, 1969, JPL Space Programs Summary, Vol. 3 p.37 Google Scholar