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Theory compression with elliptic functions

  • Victor A. Brumberg (a1) (a2)
Abstract

Introduction of Jacobi elliptic functions in planetary, satellite and cometary problems of celestial mechanics is a transformation of variables to present the analytical theories of motion in the more compact form as compared with the traditional series in multiples of mean longitudes or mean anomalies.

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Copyright
COPYRIGHT: © Kluwer 1996 
References
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Bretagnon, P.: 1982, ‘Théorie du mouvement de l'ensemble des planétes. Solution VSOP82’, Astron. Astrophys. 114, 278
Brown, E.W. and Shook, C.A.: 1933, Planetary Theory, Cambridge Univ. Press
Brumberg, E.: 1992, ‘Perturbed Two-Body Motion with Elliptic Functions’, Proc. 25th Symposium on Celestial Mechanics (eds. Kinoshita, H. and Nakai, N.), 139, NAO, Tokyo
Brumberg, E.: 1995, ‘Elliptic Anomaly Expansions to Construct High-Eccentricity Satellite Theory’, Abstract 6a3, IAU Symposium No. 172, Paris
Brumberg, E. and Fukushima, T.: 1994, ‘Expansions of Elliptic Motion Based on Elliptic Function Theory’, Celes. Mech. 60, 69
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Brumberg, V.A.: 1995, Analytical Techniques of Celestial Mechanics, Springer
Brumberg, V.A. and Klioner, S.A.: 1995, ‘Intermediate Orbit for General Planetary Theory in Elliptic Functions’, Abstract A16, IAU Symposium No. 172, Paris
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Laskar, J. and Robutel, Ph.: 1995, ‘Stability of the Planetary Three-Body Problem. I. Expansion of the Planetary Hamiltonian. Celes. Mech. (in press)
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Williams, C.A., Van Flandern, T., and Wright, E.A.: 1987, ‘First Order Planetary Perturbations with Elliptic Functions’, Celes. Mech. 40, 367
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Zeipel, H.: 1912, ‘Entwicklung der Störungsfunktion’, Encyklopädie der math. Wiss. 6 (2), 557
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Proceedings of the International Astronomical Union
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  • EISSN: 0074-1809
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