首页|Capture Efficiency Analysis in the Circular Restricted Three-body Problem
Capture Efficiency Analysis in the Circular Restricted Three-body Problem
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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 × μ0.53,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.
methods:numericalcelestial mechanicsplanets and satellites:dynamical evolution and stability
Yu-Xuan Miao、Xi-Yun Hou
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Department of Astronomy and Space Science,Nanjing University,Nanjing 210023,China
Institute of Space Environment and Astrodynamics,Nanjing University,Nanjing 210023,China
Key Laboratory of Modern Astronomy and Astrophysics,Ministry of Education,Nanjing 210023,China
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