Expansion of the secular part of the perturbing function for orbits with semimajor axes comparable in magnitude

A special representation of the secular part of the perturbing function for the mutual attraction of planets (satellites) is proposed. In contrast to the well-known expansions, it uses its asymptotics at close semimajor axes of the orbits of the perturbed and perturbing bodies and has a unified anal...

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Bibliographic Details
Published in:Solar system research 2015-05, Vol.49 (3), p.191-204
Main Authors: Vashkov’yak, M. A., Vashkov’yak, S. N., Emel’yanov, N. V.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics
Astrophysics and Astroparticles
Astrophysics and Cosmology
Observations and Techniques
Orbits
Physics
Physics and Astronomy
Planetology
Planets
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Summary:A special representation of the secular part of the perturbing function for the mutual attraction of planets (satellites) is proposed. In contrast to the well-known expansions, it uses its asymptotics at close semimajor axes of the orbits of the perturbed and perturbing bodies and has a unified analytical form for the external and internal variants of the problem. The derived expression is a partial sum of the power series in small eccentricities and sines of the mutual orbital inclinations.
ISSN:0038-0946
1608-3423
DOI:10.1134/S0038094615020069