Email this article Expansion of the principal functions of Keplerian motion using complex variables
- Authors: Mikryukov D.V.1, Kholshevnikov K.V.1,2
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Affiliations:
- St. Petersburg State University
- Pulkovo Astronomical Observatory
- Issue: Vol 42, No 4 (2016)
- Pages: 268-275
- Section: Article
- URL: https://journal-vniispk.ru/1063-7737/article/view/189635
- DOI: https://doi.org/10.1134/S1063773716040046
- ID: 189635
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Abstract
A special system of canonical variables is considered. An algorithm for expanding the principal functions of Keplerian motion in new elements is presented. The advantage of the proposed system is a relatively small number of terms in the classical expansions of the unperturbed two-body problem. A method for expanding the time derivatives of the rectangular coordinates is proposed. Some estimates of the number of terms in the presented expansions have been obtained through numerical experiments.
About the authors
D. V. Mikryukov
St. Petersburg State University
Author for correspondence.
Email: DenAstron@yandex.ru
Russian Federation, Universitetsky pr. 28, Petrodvorets, St. Petersburg, 198504
K. V. Kholshevnikov
St. Petersburg State University; Pulkovo Astronomical Observatory
Email: DenAstron@yandex.ru
Russian Federation, Universitetsky pr. 28, Petrodvorets, St. Petersburg, 198504; Pulkovskoe sh. 65, St. Petersburg, 196140
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