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Natural Metrics in the Spaces of Elliptic Orbits |
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| Authors: | Konstantin V. Kholshevnikov Nikolay N. Vassiliev |
| Affiliation: | (1) Sobolev Astronomical Institute, St. Petersburg University, Universitetsky pr. 28, Stary Peterhof, St. Petersburg, 198504, Russia;(2) Steklov Mathematical Institute, St. Petersburg, 191011, Russia |
| Abstract: | Different natural metrizations by Hölder type on the five dimensional space of Keplerian elliptic orbits are introduced. Certain applications of topological and metrical properties of the space of Keplerian elliptic orbits to several problems of Celestial Mechanics are discussed. |
| Keywords: | distance H?lder type metric metrical space space of elliptic orbits |
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