• Corpus ID: 117773089

Non-normability of spaces of Keplerian orbits

  title={Non-normability of spaces of Keplerian orbits},
  author={D. Todorov},
  journal={arXiv: Metric Geometry},
  • D. Todorov
  • Published 23 October 2012
  • Mathematics, Physics
  • arXiv: Metric Geometry
We prove that spaces of Keplerian curvilinear orbits, all orbits and elliptic orbits with marked peri- center 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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