Capture Efficiency Analysis in the Circular Restricted Three-body Problem  

作　　者：Yu-Xuan Miao Xi-Yun Hou 

机构地区：[1]Department of Astronomy and Space Science,Nanjing University,Nanjing 210023,China [2]Institute of Space Environment and Astrodynamics,Nanjing University,Nanjing 210023,China [3]Key Laboratory of Modern Astronomy and Astrophysics,Ministry of Education,Nanjing 210023,China

出　　处：《Research in Astronomy and Astrophysics》2024年第5期198-210,共13页天文和天体物理学研究（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.12233003);the support from Laboratory of Pinghu,Pinghu,China。

摘　　要：Temporary capture efficiency is studied in the framework of the circular restricted three-body problem in two steps.First, a non-uniform distribution of test particles around the secondary's orbit is obtained by fully accounting the secondary's gravitational influence. Second, the capture efficiency is computed based on the non-uniform distribution. Several factors influencing the result are discussed. By studying the capture efficiency in the circular restricted three-body problem of different mass ratios, a power-law relation between the capture efficiency(p) and the mass ratio(μ) is established, which is given by p ≈ 0.27 × μ^(0.53), within the range of 3.0035 ×10^(-6)≤ μ ≤ 3.0034 × 10^(-5). Taking the Sun–Earth system as an example, the influence from the orbit eccentricity of the secondary on the non-uniform distribution and the capture efficiency is studied. Our studies find that the secondary's orbit eccentricity has a negative influence on the capture efficiency.

关 键 词：METHODS numerical-celestial mechanics-planets and satellites dynamical evolution and stability 

分 类 号：P132.2[天文地球—天体力学]