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A Complete Closed Form Solution to the Kepler Problem

Domenii publicaţii > Stiinte ingineresti + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Daniel Condurache, Vladimir Martinusi

Editorial: Springer Verlag, Meccanica, Vol. 42, no.5, p.465-476, 2007.

Rezumat:

The paper gives an exact vectorial solution to the Kepler problem. A vectorial regularization that linearizes the Kepler problem is given using a Sundman transformation. Closed form expressions describing the Keplerian motion are deduced. A unified approach to the classic Kepler problem is offered, by studying both rectilinear and non-rectilinear Keplerian motions with the same instrument. The approach is an elementary one and only simple vectorial computations are involved.

Cuvinte cheie: Kepler problem - Vectorial regularization - Sundman transformation - Classical Mechanics

URL: http://www.springerlink.com/content/w52x1334510m8642/