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Capture Efficiency Analysis in the Circular Restricted Three-Body Problem

Yu-Xuan Miao,Xi-Yun Hou

Research in Astronomy and Astrophysics(2024)

Nanjing Univ

Cited 0|Views9
Abstract
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 (mu) is established, which is given by p approximate to 0.27 x mu(0.53), within the range of 3.0035 x 10(-6) <= mu <= 3.0034 x 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.
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methods: numerical,celestial mechanics,planets and satellites: dynamical evolution and stability
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