Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aj....117.1634c&link_type=abstract
The Astronomical Journal, Volume 117, Issue 3, pp. 1634-1642.
Astronomy and Astrophysics
Astronomy
2
Celestial Mechanics, Stellar Dynamics
Scientific paper
Some dynamical properties of satellite capture in the conservative and the dissipative circular and planar restricted three-body problems are studied. The investigations were performed in the space given by (Jacobi constant)x(initial position)x(capture time). For the conservative case, we identify the regions with capture and with noncapture and we associate them with the orbital resonances. The fractal dimensions of their contours also are computed. Moreover, it is shown that the rate of capture falls off as a power law with time. For the dissipative forces, we study the effect of gas drag on the structures that are observed in the space of initial conditions. We inspect how the fractal dimensions of the transition regions (the contour of the capture regions) and the power law associated with the time of capture are related to a change in the drag coefficient.
Cordeiro Ricardo R.
Leonel Edson D.
Vieira Martins Roberto
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