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Some properties of Lemaitre regularization: Collinear trajectories
Author(s) -
Titov Vladimir B.
Publication year - 2021
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.202123869
Subject(s) - regularization (linguistics) , parametrization (atmospheric modeling) , planar , degenerate energy levels , physics , classical mechanics , three body problem , mathematical analysis , mathematics , computer science , optics , quantum mechanics , computer graphics (images) , artificial intelligence , radiative transfer
Some properties of the Lemaitre regularization in the planar three‐body problem are considered. Application of these properties to the degenerate case of a rectilinear problem in the space of forms is studied. A number of the collinear orbits are obtained using suitable parametrization. Properties of such orbits are analyzed.