We present the non-integrability proof for the planar elliptic restricted three-body problem. Two versions of this problem are considered: the classical one when only gravitational interactions are taken into account, and the photo-gravitational version where radiation pressure from the primaries is also included. Our result is valid for nonzero eccentricity and arbitrary mass ratio of the primaries. In the proof, we apply the differential Galois approach to study the integrability.

中文翻译：

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平面椭圆受限三体问题的不可积性

我们提出了平面椭圆受限三体问题的不可积性证明。考虑了该问题的两个版本：仅考虑引力相互作用的经典版本，以及还包括初选辐射压力的光引力版本。我们的结果对于初选的非零偏心率和任意质量比是有效的。在证明中，我们应用微分Galois方法来研究可积性。