Collision Orbits for Small Mass Ratio in the Restricted Three Body Problem

Details Collision Orbits for Small Mass Ratio in the Restricted Three Body Problem Collision Orbits for Small Mass Ratio in the Restricted Three Body Problem

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jass....5...19j&link_type=abstract

Journal of Astronomy and Space Science, vol. 5, no. 1, p. 19-30.

Astronomy and Astrophysics

Astronomy

Scientific paper

The existence of the j-type collision periodic orbit is examined on the condition of mass ratio 0.9878449 and Jacobian constant 2.9 ¡­3.4. Using the Birckhoff's regularization method and the 5th order Runge-Kutta variable step-sized numerical integration routine introduced by Fehlberg(1968), we test their periodicities. As the results, 4 j-type collision orbits and 5 peculiar orbits are represented. There are good agreements in this collision orbits with the relationship between the period and the shape of orbit proposed by Pinotsis and Zikides(1984).

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