Abstract
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.
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© 1978 D. Reidel Publishing Company, Dordrecht, Holland
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Brumberg, V.A., Evdokimova, L.S., Skripnichenko, V.I. (1978). Mathematical Results of the General Planetary Theory in Rectangular Coordinates. In: Szebehely, V. (eds) Dynamics of Planets and Satellites and Theories of Their Motion. Astrophysics and Space Science Library, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9809-4_3
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DOI: https://doi.org/10.1007/978-94-009-9809-4_3
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