非参数统计方法在探究木星卫星的分布规律中的应用

Application of Nonparametric Statistical Method in Exploring the Distributions of Jupiter’s Satellites

摘要: 被誉为“小太阳系”的木星系统拥有多达79颗卫星，其中有54颗不规则卫星隶属于木星卫星的三大卫星群，即Ananke群、Carme群和Pasiphae群。本文运用非参数统计方法分别对这三个卫星群中木星卫星的物理特征和轨道特征的分布规律进行推理分析，其中物理特征主要包括：赤道半径、体积、赤道周长、表面重力加速度、表面积、质量和逃逸速度，轨道特征主要涉及：半长轴、倾角、偏心率、近拱点幅角、升交点经度和周期。本文结果表明木星卫星的特征主要服从Loglogistic分布和Stable分布，尤其是Ananke群和Carme群中的木星卫星的物理特征的分布规律呈现出令人惊喜的一致性。

Abstract: The Jupiter system, known as the “small solar system”, has as many as 79 satellites, among which 54 irregular satellites belong to the three major groups of Jupiter’s satellites, namely, Ananke, Carme group, and Pasiphae group. In this paper, the nonparametric statistical method is used to analyze the distribution of physical characteristics and orbital characteristics of Jupiter satellites in these three satellite groups. The physical characteristics typically include equatorial radius, volume, equatorial circumference, surface gravity, surface area acceleration, mass, and escape velocity. Orbital characteristics usually involve semimajor axis, inclination angle, eccentricity, and argument of periapsis, longitude of the ascending node and period. The results show that Jupiter satellites’ characteristics mainly obey Loglogistic distribution and Stable distribution, especially the physical characteristics of Jupiter satellites in the Ananke group and Carme group show a surprising consistency.