Long-term variations of the Earth's orbital elements

(1977) Celestial Mechanics — Vol. 15, n° 1, p. 53-74 (1977)

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Critical analysis of theories of the long-term variations of the ecliptical elements of the Earth leads to the following conclusions, regarding the influence of different terms on the accuracy of the expansions used: (a) further improvement in planetary masses will not have significant influence; (b) for the (/b e/, pi ) system, terms depending upon the second order as to the disturbing masses are more important than ones coming from the third degree with respect to the planetary eccentricities and inclinations; (c) for the (/b i/, Omega ) system the latter terms have highly significant influence, whereas additional terms in masses are negligible. The same conclusion can be drawn for ( epsiv , Psi /sub g/). Using these results, a new solution for the long-term variations of the Earth's orbital elements is obtained.
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Berger, A. (1977). Long-term variations of the Earth’s orbital elements. Celestial Mechanics, 15(1), 53-74. https://hdl.handle.net/2078.5/87007 (Original work published 1977)