Existence of half-entire expansive motions with prescribed initial data and asymptotics is shown for homogeneous N-body problems over a wide range of α, together with refined asymptotic expansions and a geometric interpretation via Jacobi-Maupertuis metrics.
Giuseppe Peano
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Expansive solutions and the boundary at infinity for the homogeneous $N$-body problem
Existence of half-entire expansive motions with prescribed initial data and asymptotics is shown for homogeneous N-body problems over a wide range of α, together with refined asymptotic expansions and a geometric interpretation via Jacobi-Maupertuis metrics.