The polynomial total system of partial differential equations constructed for the two-body problem is described in this paper. The algorithm for its numerical integration using the Taylor series method is presented. Recurrent formulas for Taylor coefficients obtained for the problem being solved are provided.
Translated title of the contributionIntegration of Equations of the Two-body Problem Using a Total Polynomial System of Partial Differential Equations
Original languageRussian
Pages (from-to)58-70
Number of pages13
JournalИЗВЕСТИЯ ИРКУТСКОГО ГОСУДАРСТВЕННОГО УНИВЕРСИТЕТА. СЕРИЯ: МАТЕМАТИКА
Volume52
DOIs
StatePublished - 2025

    Scopus subject areas

  • Mathematics(all)

    Research areas

  • Taylor Series Method, numerical PDE system integration, total polynomial PDE system, two-body problem

ID: 136370273