Open AccessOn the possibility of expanding the Tisserand constant for Jupiter-family comets in a binomial series
Author(s) -
T. Abdulmyanov,
Maria Sokolova,
V. Usanin
Publication year - 2022
Publication title -
astronomy at the epoch of multimessenger studies. proceedings of the vak-2021 conference, aug 23–28, 2021
Language(s) - English
Resource type - Conference proceedings
DOI - 10.51194/vak2021.2022.1.1.019
Subject(s) - trojan , constant (computer programming) , series (stratigraphy) , negative binomial distribution , physics , mathematics , astronomy , computer science , statistics , geology , paleontology , poisson distribution , programming language
The 1st or 2nd degree binomial series expansion of the Hamiltonian of the circular restricted three-body problem expressedin terms of the Poincaré variables was used earlier to develop analytical theories of motion for the Trojan and Hilda asteroids.In the present paper we study the corresponding representation of the Tisserand constant, taking that of 6P/d’Arrest, aJupiter-family comet, as a numerical example. We show that as the 6th degree series expansion, the Tisserand constant isconserved no worse than in its conventional form.