CAOSP abstracts, Volume: 53, No.: 1, year: 2023

Author(s): Vavrukh, M.; Dzikovskyi, D.
Journal: Contributions of the Astronomical Observatory Skalnaté Pleso, vol. 53, no. 1, p. 58-66.
Date: 02/2023
Title: Analytical images of Kepler's equation solutions and its analogues
Keyword(s): methods: analytical, celestial mechanics
Pages: 58 -- 66
DOI: https://doi.org/10.31577/caosp.2023.53.1.58
NASA ADS Abstract Service: 2023CoSka..53a..58V
Citation:
License: This work is licensed under a Creative Commons Attribution 4.0 International License

Abstract: Approximate, but highly accurate analytical solutions of Kepler's equation were found by reducing it to an algebraic equation. With the help of this approach and usage of the iterative algorithm there were obtained solutions of a similar equation for the hyperbolic motion near the orbit pericenter.