Abstract
The solution of Brouwer and van Woerkom (1950), for reduction to prope, elements of asteroidal osculating elements at epoch, is extended to the range of semimajor axes, 0.1<a<55 AU. The locations and strengths of secular resonances are noted.
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References
Allen, C.W.: 1963,Astrophysical Quantities. University of London, Athlone Press.
Brouwer, D.: 1951,Astron. J. 56, 9.
Brouwer, D. and Clemence, G. M.: 1961,Methods of Celestial Mechanics, Chapter XVII, Academic Press, New York.
Brouwer, D. and van Woerkom, A. J. J.: 1950,Astron. Papers Am. Ephemeris 13, Part 2, 85.
Davis, D. R. and Greenberg, R.: 1977, ‘Long Term Stability of Solar Storage Orbits’, Paper presnted at Astrodynamics Specialists Conference, Jackson Hole, Wyoming.
Heppenheimer, T. A.: 1980, ‘Secular Resonances and the Origin of Eccentricities of Mars and the Asteroids’, Under review atIcarus.
Weidenschilling, S. J.: 1975,Astron. J. 80, 145.
Williams, J. G.: 1969,Secular Perturbations in the Solar System. Ph.D. dissertation, University of California, Los Angeles.
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Heppenheimer, T.A. Reduction to proper elements for the entire solar system. Celestial Mechanics 20, 231–241 (1979). https://doi.org/10.1007/BF01371364
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DOI: https://doi.org/10.1007/BF01371364