Abstract We consider the square configuration of photo-gravitational elliptic restricted five-body problem and study the Sitnikov motions. The four radiating primaries are of equal mass placed at the vertices of square and the fifth body having negligible mass performs oscillations along a straight line perpendicular to the orbital plane of the primaries. The motion of the fifth body is called vertical periodic motion and the main aim of this paper is to study the effect of radiation pressure on these periodic motions in the linear approximation. Moreover, the effects of radiation pressure on the motion of fifth body have been examined with the help of Poincare surfaces of section. By escalating the radiation pressure, surrounding periodic tubes and islands disappear and chaotic motion occurs near the hyperbolic points. Further, by escalating the radiation pressure, the main stochastic region joins the escaping one.

中文翻译：

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辐射压力下的椭圆 Sitnikov 五体问题

摘要 我们考虑了光引力椭圆受限五体问题的正方形配置并研究了Sitnikov运动。四个辐射初级质量相等，质量相等，质量可以忽略不计的第五个物体沿着垂直于初级轨道平面的直线进行振荡。第五体的运动称为垂直周期运动，本文的主要目的是研究辐射压力对这些周期运动的线性近似影响。此外，在庞加莱截面的帮助下，已经检查了辐射压力对第五体运动的影响。通过增加辐射压力，周围的周期管和岛消失，双曲线点附近发生混沌运动。更多，