Abstract
A new expansion for the gravitational potential of the asteroid belt is derived in this paper on the basis of binomial expansions. Its advantages ares (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.
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References
Mayo, A.P. 1979, Celest. Mech., Vol. 19, p. 317
Plakhov, Yu.V. 1968, Translation of Russian “Geodesy & Aerophotography”, Vol. 1, p. 38
Liu, A.S. et al, 1969, JPL Space Programs Summary, Vol. 3 p. 37
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© 1983 D. Reidel Publishing Company, Dordrecht, Holland
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Fu, T., Zhen, C. (1983). Perturbations Due to the Asteroid Belt. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_9
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DOI: https://doi.org/10.1007/978-94-009-7214-8_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-7216-2
Online ISBN: 978-94-009-7214-8
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