Encounter in the keplerian field: Analytical treatment View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1990-06

AUTHORS

V. A. Brumberg, T. V. Ivanova

ABSTRACT

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. More... »

PAGES

133-144

References to SciGraph publications

  • 1987-03. Elliptical Hill's problem (large and small impact parameters) in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1972-09. Single close encounters in the planetary problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1975-03. Linear analysis of one type of second species solutions in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1986-01. Series expansions for encounter-type solutions of Hill's problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1974-07. Étude du choc de deux petites masses en présence d'un troisième corps de masse prépondérante in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf00050710

    DOI

    http://dx.doi.org/10.1007/bf00050710

    DIMENSIONS

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