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Metric spaces of Keplerian orbits

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Abstract

Several metric spaces of Keplerian orbits and a set of their most important subspaces, as well as a factor space (not distinguishing orbits with the same longitudes of nodes and pericentres) are constructed. Topological and metric properties of them are established. Simple formulae to calculate the distance are deduced. Applications to a number of problems of Celestial Mechanics are discussed.

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Authors and Affiliations

  1. Astronomical Institute, St. Petersburg State University, Universitetsky pr. 28, Stary Peterhof, St. Petersburg, 198504, Russia

    Konstantin V. Kholshevnikov

  2. Institute for Applied Astronomy, nab. Kutuzova 10, St. Petersburg, 191187, Russia

    Konstantin V. Kholshevnikov

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  1. Konstantin V. Kholshevnikov
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Correspondence to Konstantin V. Kholshevnikov.

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Kholshevnikov, K.V. Metric spaces of Keplerian orbits. Celestial Mech Dyn Astr 100, 169–179 (2008). https://doi.org/10.1007/s10569-007-9110-9

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  • DOI: https://doi.org/10.1007/s10569-007-9110-9

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