Comparison between Different Models of Galactic Tidal Effects on Cometary Orbits View Full Text


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Article Info

DATE

2005-09

AUTHORS

Marc Fouchard, Christiane Froeschlé, John J. Matese, Giovanni Valsecchi

ABSTRACT

Different models of the action of the galactic tide are compared. Each model is a substitute for direct numerical integrations allowing a drastic decrease of the computation time. The models are built using two different techniques, (i) averaging of the fast variable (the mean anomaly) over one cometary period and (ii) fixing the comet in its aphelion direction. Moreover, we consider two different formalisms (Lagrangian and Hamiltonian) and also two different sets of variables. As expected, we find that the model results are independent of the formalism and the set of variables considered, and are highly accurate, whereas mathematical technique leads to poor results. In order to further reduce the computation time, mappings are built from the development of the solution of the models. We show that for these mappings, the set of variables giving the most accurate results is strongly dependent on the cometary eccentricity, e, and semimajor axis, a. More... »

PAGES

229-262

References to SciGraph publications

  • 1992-03. A model of the galactic tidal interaction with the oort comet cloud in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1986-11. The effect of the Galaxy on cometary orbits in EARTH, MOON, AND PLANETS
  • 1985. An Efficient Integrator that Uses Gauss-Radau Spacings in DYNAMICS OF COMETS: THEIR ORIGIN AND EVOLUTION
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10569-005-1149-x

    DOI

    http://dx.doi.org/10.1007/s10569-005-1149-x

    DIMENSIONS

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