1210.6203 (Dmitry Todorov)

Non-normability of spaces of Keplerian orbits    [PDF]

Dmitry Todorov

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.

View original: http://arxiv.org/abs/1210.6203