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小行星光变曲线分析及形状参数反演

Simulation Analysis of Asteroid Lightcurve and Inversion of Shape Parameters

  • 摘要: 小行星是广泛存在于太阳系内的天体, 光变曲线是在一段时间内对其进行连续观测后得到的光度随时间变化的曲线, 包含了小行星的轨道、自转、形状以及热物理等相关的参数信息. 通过光变曲线可对小行星进行形状反演, 探究光变曲线形态与小行星自转状态之间的关系. 首先通过综合考虑小行星的形状、自转状态以及相位角, 建立小行星的光度模型, 模拟生成小行星的光变曲线; 再基于三轴椭球体模型分析各个参数对光变曲线的影响, 研究小行星在主轴旋转和非主轴旋转情形下光变曲线的变化, 获得光变曲线特征和自转及形状参数之间的对应关系; 然后分别利用三轴椭球体模型以及凸多面体模型对小行星的光变曲线进行参数拟合, 反演得到小行星的自转和形状参数.

     

    Abstract: The light curve, which depicts the temporal variation of an asteroid's brightness as observed through continuous monitoring over a defined period, serves as a valuable data source containing information about the asteroid's orbital characteristics, rotational behavior, physical shape, and thermal properties. In this study, we develop a photometric model for asteroids by incorporating their three-dimensional shape, rotational state, and phase angle effects, with the primary objective of simulating and generating accurate light curves. Using a triaxial ellipsoid model as the theoretical framework, we analyze how various physical parameters influence the resulting light curve characteristics. Specifically, we investigate light curve variations under both principal axis rotation and non-principal axis rotation. Through this analysis, we establish quantitative relationships between the observed light curve features and the asteroid's fundamental rotational and shape parameters. Building upon these findings, we perform parameter fitting of observed asteroid light curves using both the triaxial ellipsoid model and the more complex convex polyhedron model. This dual-model approach enables us to invert and determine the asteroid's actual rotation parameters and shape characteristics from observational data.

     

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