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Periodic orbits in the planar restricted photo-gravitational problem when the smaller primary is an oblate spheroid

机译:当较小的主要是扁圆形球体时,平面限制照片重力问题的周期性轨道

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Background/Objectives: This study deals wit h the stationary solutions of the planar circular restricted three-body problem when the more massive primary is a source of radiation and the smaller primary is an oblate spheroid with its equatorial plane coincident with the plane of motion. The objective is to study the location of the Lagrangian points and to find the values of critical mass. Also, to study the periodic orbits around the Lagrangian points. Methods: A new mean motion expression by including the secular perturbation due to oblateness utilized by(1,2) is used in the present studies. The characteristic roots are obtained by linearizing the equation of the motion around the Lagrangian points. Findings: The critical mass parameter μcrit(3,4) , which decreases radiation force, whereas it increases with oblateness when we consider the value of new mean motion. Through special choice of initial conditions, retrograde elliptical periodic orbits exist for the case μ = μcrit, whose eccentricity increases with oblateness and decreases with radiation force for non-zero oblateness, although there is slight variation in L2 location.
机译:背景/目标:本研究涉及平面循环限制的三体问题的静止解决方案当较大的初级是辐射源并且较小的主要是与运动平面重合的胎体球体。目标是研究拉格朗日点的位置,并找到临界质量的值。此外,研究拉格朗日点周围的周期性轨道。方法:通过(1,2)所利用的否则包括(1,2)所用的世俗扰动的新平均运动表达式用于本研究。通过线性化围绕拉格朗日点周围的运动方程来获得特征根。调查结果:减少辐射力的临界质量参数μcrit(3,4),而当我们考虑新的均值运动的值时,它会随着否定而增加。通过初始条件的特殊选择,存在逆行椭圆形周期轨道的情况μ=μcrit,其偏心率随着尺寸的偏心而增加并且随着非零尺寸的辐射力而减小,尽管L2位置略有变化。

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