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The velocity hodograph for an arbitrary Keplerian motion

Eugene I Butikov

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An interesting, useful, and simple, but not widely known property of Keplerian motion relating to the circular shape of the orbit in velocity space is discussed in this paper. The property is illustrated by a computer simulation program. A simple dynamical derivation of the circular shape of the velocity hodograph is suggested.


PACS

45.50.Pk Celestial mechanics

45.20.D- Newtonian mechanics

96.12.De Orbital and rotational dynamics

Subjects

Mathematical physics

Astrophysics and astroparticles

Dates

Issue 4 (July 2000)

Received 13 January 2000, in final form 19 April 2000



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