Celestial Mechanics and Dynamical Astronomy

, Volume 49, Issue 2, pp 133–144 | Cite as

Encounter in the keplerian field: Analytical treatment

  • V. A. Brumberg
  • T. V. Ivanova


In extending the results of Henon and Petit (1986) an algorithm is suggested for constructing the series representing the general encounter-type solution of the spatial eccentric Hill's problem. The series are arranged in powers of the eccentricity E of Hill's problem and two integration constants e and k characterizing eccentricity and inclination of the relative motion. A particular non-periodic solution of Henon and Petit corresponding to E = e = k = 0 is taken as an intermediary. The perturbations to this solution are constructed similar to the lunar theory of Hill and Brown.


Relative Motion Integration Constant Analytical Treatment Lunar Theory Keplerian Field 
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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • V. A. Brumberg
    • 1
  • T. V. Ivanova
    • 1
  1. 1.Institute of Applied AstronomyLeningradU.S.S.R.

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