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Improvements of Planetary Theories over 6000 Years

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New Developments in the Dynamics of Planetary Systems
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Abstract

Taking advantage of the JPL Long Ephemeris DE406 and of the semi-analytical solution for the planetary motions VSOP87, we make an approximation of the differences JPL—VSOP. The form of the approximation (arguments and Poisson expansions) is analogous to the time series of the theory. We improve the planetary solution VSOP87 in two directions: a better fit of the integration constants via the highly precise observations used in DE406 and an extension of the length of validity covering the 6000 years of the source ephemeris. Over an interval of 2000 years, we achieve on the mean longitudes (test variables) a precision better than 0.005″ for inner planets and 0.015″ for outer ones. On the longest time interval covering 6000 years the precision is better than 0.03″ for inner planets and 1.2″ for outer ones.

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© 2001 Springer Science+Business Media Dordrecht

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Chapront, J. (2001). Improvements of Planetary Theories over 6000 Years. In: Dvorak, R., Henrard, J. (eds) New Developments in the Dynamics of Planetary Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2414-2_4

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  • DOI: https://doi.org/10.1007/978-94-017-2414-2_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5702-0

  • Online ISBN: 978-94-017-2414-2

  • eBook Packages: Springer Book Archive

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