Email this article Periodic orbits in the free-fall three-body problem
- Authors: Orlov V.V.1,2, Titov V.A.1, Shombina L.A.1
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Affiliations:
- St. Petersburg State University
- Central (Pulkovo) Astronomical Observatory
- Issue: Vol 60, No 12 (2016)
- Pages: 1083-1089
- Section: Article
- URL: https://journals.rcsi.science/1063-7729/article/view/190238
- DOI: https://doi.org/10.1134/S1063772916110056
- ID: 190238
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Abstract
Periodic solutions of the general free-fall three-body problem are investigated for the case of equal masses. The initial conditions are chosen on a Hill surface in form space. The use of the form space reduces the dimension of the problem and makes it possible to represent the region of possible initial conditions on the Hill surface, together with a color scale. The regions obtained can be used to improve the precision of the initial conditions for the periodic orbits in the free-fall three-body problem.
About the authors
V. V. Orlov
St. Petersburg State University; Central (Pulkovo) Astronomical Observatory
Email: shombina@gmail.com
Russian Federation, St. Petersburg; Pulkovskoe shosse 65, St. Petersburg, 196140
V. A. Titov
St. Petersburg State University
Email: shombina@gmail.com
Russian Federation, St. Petersburg
L. A. Shombina
St. Petersburg State University
Author for correspondence.
Email: shombina@gmail.com
Russian Federation, St. Petersburg
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