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.

中文翻译：

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Lemaitre正则化的一些属性：共线轨迹

考虑了平面三体问题中Lemaitre正则化的一些性质。研究了这些性质在形式空间中线性问题的退化情况下的应用。使用适当的参数化可以获得许多共线轨道。分析了这些轨道的性质。