临时捕获小行星目标选择研究

Research on target selection for temporary capture of asteroids

小行星捕获对研究行星的起源,地球上的生命来源,防御撞击地球以及开采行星矿物资源等多个方面都具有现实意义.如果能从众多研究对象中筛选出可能被地球临时捕获的小行星,对研究临时捕获小行星至关重要,其关键问题在于找出临时捕获小行星轨道参数所需要满足的关系.本文以临时捕获小行星为研究对象,在平面限制性三体模型内以不同雅克比常数对应零速度面离散化点为初值,计算得到临时捕获小行星的捕获周期,经转换得到临时捕获小行星轨道根数特征.计算结果表明,临时捕获的小行星轨道长半轴和偏心率之间存在近似线性关系,此结果给出了临时捕获小行星的必要条件,缩小了临时捕获小行星目标选择范围.

Asteroid capture is of realistic significance for studying the origin of asteroids and sources of life,defending earth from potential impact,and mining planetary mineral resources.If asteroids that may be temporarily captured by the Earth could be screened out from the multitude of possible research objects,this would be of immeasurable value to the study of temporary capture of asteroids.The key to this issue is to find the relation that needs to be satisfied for the Keplerian elements of temporary capture of asteroids.This paper takes the temporary capture of asteroids as the research object.In a plane restricted three-body model,with the discretization point of the zero-velocity surface corresponding to different Jacobi constant being set as the initial value,the capture period of the temporarily captured asteroid is calculated,and the features of the Keplerian elements of the temporary capture of asteroid are obtained by conversion.The calculation result shows that there is an approximately linear relation between the semi-major axis of the temporarily captured asteroid orbit and the eccentricity.This result gives the necessary conditions for the temporary capture of asteroids and narrows the range of targets for the temporary capture of asteroids.