Abstract
We present an analytical method, based on Lie series canonical transformation, which allows the computation of the secular variations in the semimajor axes of an N-body system. As an example, we compute explicitly the amplitude of the main secular term in Uranus and Neptune semimajor axes, having a periodicity of 1.119.000 yr; the comparison with the results of numerical integrations yields satisfactory agreement.
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© 1988 Kluwer Academic Publishers
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Carpino, M. (1988). Secular Variations of the Semimajor Axes of the Planets. In: Valtonen, M.J. (eds) The Few Body Problem. Astrophysics and Space Science Library, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2917-3_25
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DOI: https://doi.org/10.1007/978-94-009-2917-3_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7813-9
Online ISBN: 978-94-009-2917-3
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