Mathematics – Logic
Scientific paper
Mar 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cemda.100..169k&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, Volume 100, Issue 3, pp.169-179
Mathematics
Logic
2
Topological Space, Metric Space, Space Of Keplerian Orbits, Manifold, Embedding And Imbedding In Euclidean Space
Scientific paper
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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