Note on the generalized Hansen and Laplace coefficients

Celestial Mechanics and Dynamical Astronomy

Volumn 91, Issue 3-4, 2005, Pages 351-356

  Laskar, Jacques ^a  

^a Institut de Mecanique Celeste et de Calcul des ephemerides   (France)

Author keywords

Analytical methods; Hansen coefficients; Keplerian motion; Laplace coefficients

Indexed keywords

EID: 23844537601     PISSN: 09232958     EISSN: 15729478     Source Type: Journal    
DOI: 10.1007/s10569-004-6440-8     Document Type: Article

References (8)

1. Breiter, S., Métris, G. and Vokrouhlický, D.: 2004, 'Generalized Hansen coefficients', Celest. Mech. Dyn. Astron. 88, 153-161.
2. Brumberg, V. A.: 1995, Analytical Techniques of Celestial Mechanics, Springer-Verlag, Berlin, Heidelberg, New-York.
3. Hansen, P. A.: 1855, Entwickelung der products einer potenz des radius vectors mit dem sinus oder cosinus eines vielfachen der wahren anomalie in reihen, Abhandl. d. K. S. Ges. d. Wissensch, IV, 182-281.
4. Hill, G. W.: 1875, 'On the development of the perturbative function in periodic series', The Analyst, II, 161-180.
5. Also in Collected Mathematical Works, Carnegie Institution, Washington, I, 206-226.
6. Laplace, P. S.: 1785, 'Théorie de Jupiter et de Saturne, Mémoire de l'Académie Royale des Sciences', in Oeuvres complètes T.11, Gauthier-Villars, 1895, Paris.
7. Laskar, J. and Robutel, P.: 1995, 'Stability of the planetary three-body problem. I. Expansion of the planetary Hamiltonian', Celest, Mech. Dyn. Astron., 62, 193-217.
8. Tisserand, F.: 1889, Traité de Mécanique Céleste, Gauthier-Villars, Paris.