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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2025. Vol 52

Integration of Equations of the Two-body Problem Using a Total Polynomial System of Partial Differential Equations

Author(s)
Levon K. Babadzanjanz1, Irina Yu. Pototskaya1, Yulia Yu. Pupysheva1

1St. Petersburg State University, St. Petersburg, Russian Federation

Abstract
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.
About the Authors

Levon K. Babadzanjanz, Dr. Sci. (Phys.–Math.), Prof., St. Petersburg State University, St. Petersburg, 198504, Russian Federation

Irina Yu. Pototskaya, Cand. Sci. (Phys.Math.), Assoc. Prof., St.Petersburg State University, St.Petersburg, 198504, Russian Federation, i.pototskaia@spbu.ru

Yulia Yu. Pupysheva, Cand. Sci. (Phys.Math.), Assoc. Prof., St.Petersburg State University, St.Petersburg, 198504, Russian Federation, j poupycheva@mail.ru

For citation
Babadzanjanz L. K., Pototskaya I. Yu., Pupysheva Yu. Yu. Integration of Equations of the Two-body Problem Using a Total Polynomial System of Partial Differential Equations. The Bulletin of Irkutsk State University. Series Mathematics, 2025, vol. 52, pp. 58–70. (in Russian)

https://doi.org/10.26516/1997-7670.2025.52.58

Keywords
two-body problem, Taylor Series Method, total polynomial PDE system, numerical PDE system integration
UDC
519.63, 521.1
MSC
35F20, 65D30
DOI
https://doi.org/10.26516/1997-7670.2025.52.58
References
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