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Mathematical Results of the General Planetary Theory in Rectangular Coordinates

Published online by Cambridge University Press:  12 April 2016

V.A. Brumberg ,
L.S. Evdokimova  and
V.I. Skripnichenko
V.A. Brumberg
Affiliation:
Institute of Theoretical Astronomy, Leningrad
L.S. Evdokimova
Affiliation:
Institute of Theoretical Astronomy, Leningrad
V.I. Skripnichenko
Affiliation:
Institute of Theoretical Astronomy, Leningrad

Abstract

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Mathematical construction of the general planetary theory has led to the series of two forms for the coordinates of eight major planets (excluding Pluto). The series of the first form are Poisson series where all orbital elements except the semi-major axes occur in literal shape. The series of the second form are polynomial-exponential series with respect to the time and serve to calculate the ephemerides. The arbitrary constants of the theory are related to the Keplerian elements. The terms of the zero and first degree in eccentricities and inclinations have been found in the second approximation with, respect to the disturbing masses. Among those of particular interest are the resonant terms caused by the commensurabilities of the mean notations of triplets of planets.

Type
Part I. Planetary Theory and Analytical Methods
Information
International Astronomical Union Colloquium , Volume 41: Dynamics of Planets and Satellites and Theories of their Motion , 1978 , pp. 33 - 48
Copyright
Copyright © Reidel 1978

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