Abstract: Two ways of defining the Poincaré astrocentric coordinates in the planetary problem are considered and compared. Both ways are shown to lead to the same system of equations of planetary motion after the elimination of the center of mass. Formulas for the transition from the osculating elements in the Poincaré coordinate system to the ordinary astrocentric osculating elements are given. The analytical apparatus constructed here is suitable for the practical application of perturbation methods, in particular, averaging methods.

Original languageEnglish
Pages (from-to)782-789
Number of pages8
JournalAstronomy Letters
Volume47
Issue number11
DOIs
StatePublished - Nov 2021

    Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

    Research areas

  • astrocentric coordinates, canonical transformations, Hamiltonian, heliocentric coordinates, osculating elements, planetary problem, Poincaré canonical elements, Poincaré coordinates

ID: 94616851