Non-normability of spaces of Keplerian orbits
Metric Geometry
2012-10-24 v1 Earth and Planetary Astrophysics
Abstract
We prove that spaces of Keplerian curvilinear orbits, all orbits and elliptic orbits with marked pericenter cannot carry a norm, compatible with their standard topology. We also prove that the space of Keplerian elliptic orbits without marked pericenter cannot carry a norm, compatible with the natural metrics on it.
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Cite
@article{arxiv.1210.6203,
title = {Non-normability of spaces of Keplerian orbits},
author = {Dmitry Todorov},
journal= {arXiv preprint arXiv:1210.6203},
year = {2012}
}
Comments
5 pages