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Nonlinear Evolution of the Orbit Eccentricity of a Spherically Symmetric Balloon Satellite

机译：球形对称气球卫星轨道偏心率的非线性演化

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摘要

We consider the problem of motion of a spherically symmetric balloon satellite along an orbit with a moderate inclination in the neighborhood of a resonance caused by the joint influence of the Earth's oblate-ness and the pressure of light. An analytic approximate solution is constructed for a qualitative analysis of the problem. The correctness of the constructed analytical solution and the properties of the trajectories in the neighborhood of the saddle point separatrices of this solution are investigated using numerical integration of the nonsimplified system of equations of motion with a full set of perturbing factors. The effect of separatrix breakup accompanied by the appearance of regions of stochastic motion is studied. A description of quasi-random trajectories lying outside the stochasticity zone is given with the help of binary code.
机译：我们考虑一个球形对称气球卫星沿着轨道运动的问题，该轨道在地球扁率和光压力的共同影响下引起的共振附近具有适当的倾斜度。构造了一个解析近似解，用于对该问题进行定性分析。使用非简化运动方程组的数值积分和全套扰动因子，对构造的解析解的正确性以及该解的鞍点分离线附近的轨迹的性质进行了研究。研究了分离运动伴随随机运动区域出现的影响。在二进制代码的帮助下，对位于随机性区域之外的准随机轨迹进行了描述。

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