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- W4293255943 abstract "In this paper, we focus on the set of geodesics rays of the Newtonian N-body problem. We find that the limits of geodesic rays are also geodesic rays, hence they are not dense in the space of initial conditions. As a result, there are many motions whose domain is the half real line has non-negative total energy, and they are not geodesic rays, the set of such motions has positive measure, we think this set gives a large space to accommodate many solutions with bad behaviors. As an application of weak KAM theory for N-body problem, we give a brief proof of the existence of complete parabolic orbit starting from any given initial position." @default.
- W4293255943 created "2022-08-27" @default.
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- W4293255943 date "2022-08-22" @default.
- W4293255943 modified "2023-09-26" @default.
- W4293255943 title "On Geodesic Rays of Newtonian Gravitational Systems" @default.
- W4293255943 doi "https://doi.org/10.48550/arxiv.2208.10066" @default.
- W4293255943 hasPublicationYear "2022" @default.
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