论文标题
太阳辐射压力半晶状共振的分析和数值估计值
Analytical and Numerical Estimates for Solar Radiation Pressure Semi-secular Resonances
论文作者
论文摘要
这项工作的目的是提供有关与中等至高面积比的不受控制的物体相关的效果耦合以及太阳辐射压力（SRP）效应而产生的与共振相关的动态的新见解。提供了对所得共振平衡点位置的分析估计，以及公式，以计算偏心率中相应变化的最大幅度，这是对象的初始条件及其面积与质量比的函数。使用经典公式估算偏心率和倾斜度的变化期。提供了基于SRP共振强度的分类。本文中提出的估计值是使用数值工具验证的，包括使用快速Lyapunov指标绘制相位肖像和分叉图。呈现了许多描述SRP共振位置和重叠的FLI地图。本文的结果表明，可以通过[1]或[2]的第二个基本模型在扩展基本模型的背景下对SRP共振进行建模。 [1] S. Breiter。扩展共鸣的基本模型。天体力学和动力天文学，85：209-218，03（2003）。 doi：10.1023/a：10222569419866 [2] J. Henrard和A. Lemaitre。共鸣的第二个基本模型。天体力学，30：197-218，（1983）。 doi：10.1007/bf01234306
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
