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The dynamics in quasihomogeneous fields (characterized by sums of homogeneous potentials) models a lot of concrete physical and astronomical situations. The two-body problem in Cartesian and standard polar coordinates, as well as in regularizing McGehee-type coordinates of both collision-blow-up kind and infinity-blow-up kind, is being tackled. The corresponding vector fields present symmetries that...
The quasihomogeneous fields (featured by sums of homogeneous potentials) model a lot of concrete fields met in problems of nonlinear particle dynamics. The particularly important case of binary collisions in such fields is tackled, and the local behaviour of the corresponding solutions is fully understood.
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