Abstract
A more accurate first-order theory for the secular motion of the eight planets was constructed using the equinoctial element set and data from DE200. The secular disturbing function was developed through fourth order in the eccentricity and inclination elements. The corresponding equations of motion were numerically integrated backward in time for a one-million year simulation. Results are compared with the linear secular theory and a numerical integration of the full, unaveraged equations of motion.
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References
Richardson, D.L. and Walker, C. F., ‘Multivalue Integration of the Planetary Equat over the Last One-Million Years/ AAS/AIAA Paper #87’538, 1987.
Standish, E.M., and Williams, J.G., Development Ephemeris DE200-LE200, Propulsion Laboratory, Pasadena, 1982.
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© 1988 Kluwer Academic Publishers
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Richardson, D.L., Segerman, A.M. (1988). Higher-Order Numerical Secular Planetary Theory. 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_26
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DOI: https://doi.org/10.1007/978-94-009-2917-3_26
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7813-9
Online ISBN: 978-94-009-2917-3
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