Article ID Journal Published Year Pages File Type
1868420 Physics Letters A 2006 6 Pages PDF
Abstract
A pseudo-Newtonian Hill problem based on the Paczyński-Wiita pseudo-Newtonian potential that reproduces general relativistic effects is presented and compared with the usual Newtonian Hill problem. Poincaré maps, Lyapunov exponents and fractal escape techniques are employed to study bounded and unbounded orbits. In particular we consider the systems composed by Sun, Earth and Moon and composed by the Milky Way, the M2 cluster and a star. We find that some pseudo-Newtonian systems-including the M2 system-are more stable than their Newtonian equivalent.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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