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arXiv 2212.06282astro-ph.EP
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Solar Radiation压力半长期共振的解析和数值估算

Analytical and Numerical Estimates for Solar Radiation Pressure Semi-secular Resonances

Roberto Paoli

摘要:

这项工作的目的是提供新的见解的动力学相关的共振所产生的耦合的结果,由于地球的扁率和太阳辐射压力(SRP)的影响,一个不受控制的对象具有中等到高的面积-质量比。分析估计产生的共振平衡点的位置,连同公式来计算相应的偏心率的变化的最大振幅,作为对象的初始条件和它的面积与质量比的函数。由于这种共振的偏心率和倾角的变化的周期估计使用经典的公式。提供了基于SRP共振的强度的分类。使用数值工具,包括使用快速李雅普诺夫指标绘制相图和分岔图的文件中提出的估计进行验证。许多FLI地图描绘的位置和重叠的SRP共振。本文的结果表明,SRP共振可以在[1]的扩展基本模型或[2]的第二基本模型的背景下建模。[1]S.布莱特共振的扩展基本模型。天体力学和动力天文学,85:209-218,03(2003)。doi:10.1023/A:1022569419866勒梅特共振的第二个基本模型。天体力学,30:197-218,(1983). doi:10.1007/BF01234306

英文摘要:

The aim of this work is to provide new insights on the dynamics associated to the resonances which arise as a consequence of the coupling of the effect due to the oblateness of the Earth and the Solar Radiation Pressure (SRP) effect for an uncontrolled object with moderate to high area-to-mass ratio. Analytical estimates for the location of the resulting resonant equilibrium points are provided, together with formulas to compute the maximum amplitude of the corresponding variation in the eccentricity, as a function of the initial conditions of the object and of its area-to-mass ratio. The period of the variations of the eccentricity and inclinations due to such resonances is estimated using classical formulas. A classification based on the strength of the SRP resonances is provided. The estimates presented in the paper are validated using numerical tools, including the use of Fast Lyapunov Indicators to draw phase portraits and bifurcation diagrams. Many FLI maps depicting the location and overlapping of SRP resonances are presented. The results from this paper suggest that SRP resonances could be modeled in the context of either the Extended Fundamental Model by [1] or the Second Fundamental Model by [2]. [1] S. Breiter. Extended fundamental model of resonance. Celestial Mechanics and Dynamical Astronomy, 85:209-218, 03 (2003). doi: 10.1023/A:1022569419866 [2] J. Henrard and A. Lemaitre. A second fundamental model for resonance. Celestial Mechanics, 30:197-218, (1983). doi: 10.1007/BF01234306

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