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O.C. Winter (UNESP - Guaratinguetá - Brazil), E. Vieira Neto (UNESP - Guaratinguetá - BRAZIL)
We consider the Sun-Uranus-particle spatial problem and systematically explore the space of initial conditions and the time of temporary capture trajectories. We present a detailed map with location and size of the regions of different capture times in terms of the initial condition space. Considering the final stage of the capture problem, which concerns the transformation of temporary captures into permanent ones, it is relevant to know the initial conditions associated to the longest capture times.
The results show that the largest regions of the initial conditions space with the longest capture times occur at inclinations 60o - 70o and 160o. The regions of possible stability as a function of the initial inclinations are also delimited. These regions include not only the well known retrograde orbits, but also a new sort of prograde orbits with inclinations larger than zero.
The author(s) of this abstract have provided an email address for comments about the abstract: ocwinter@feg.unesp.br