Families of Keplerian orbits

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Eur. J. Phys. 24 (March 2003) 175-183

Families of Keplerian orbits

Eugene I Butikov
St Petersburg State University, St Petersburg, Russia

E-mail: butikov@spb.runnet.ru

Received 11 October 2002
Published 10 February 2003

Abstract. Various properties of Keplerian orbits traced by satellites that are launched from one and the same spatial point with different initial velocities are discussed. Two families of elliptical orbits are investigated, namely the sets of orbits produced by a common direction but different magnitudes of the initial velocities, and by a common magnitude but various directions of the initial velocities. For the latter family, the envelope of all the orbits is found, which is the boundary of the spatial region occupied by the orbits.

URL: stacks.iop.org/0143-0807/24/175
DOI: 10.1088/0143-0807/24/2/358
PII: S0143-0807(03)55903-7

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