Deflecting the orbit of a potentially hazard asteroid by kinetic impact is currently the most technically feasible defense concept.Finding the optimal interception orbit of the impactor to the asteroid so as to achieve the maximum orbit deflection under a given fuel consumption,is of great significance to the design of the defense scenario.This paper takes the kinetic impact on the Apophis asteroid as an example,a method to design the optimal interception trajectory of the impactor is proposed and illustrated.Firstly,the orbit deflection of the asteroid caused by impact is regarded as an impulse maneuver,and the motion of the asteroid is simplified into a two-body problem.Then,the optimal interception position and interception orientation of the impactor on the asteroid is determined using classical theories of orbital dynamics and control,which maximizes the orbit deflection of the asteroid for a given fuel consumption.Finally,a numerical orbit prediction model for Apophis is established,which is used to evaluate the actual orbit deflection of the optimal impact solution.The results show that orbit deflection given by optimal impact solution is basically consistent with the actual situation,which proves that the optimization method has a certain reference value for the design of elaborate impact schemes.
LI Tao
,
QIN Jin-gui
,
REN Lei-sheng
,
LI Yi
. Optimal Interception Orbit Analysis in the Kinetic Impact of Near Earth Asteroids[J]. Journal of Space Science and Experiment, 2021
, 21(4)
: 49
-54
.
DOI: 10.19963/j.cnki.2096-4099.2021.04.008
[1] WieBong.Dynamics and control of gravity tractor spacecraft for asteroid deflection[J].Journal of Guidance,Control,and Dynamics,2008,31(5):1413-1423.
[2] Steven D Mille,William C Straka III,Scott Bachmeier A,et al.Earth viewing satellite perspectives on the Chelyabinsk meteor event[J].Proceedings of the National Academy of Sciences of the United States(Earth,Atmospheric,and Planetary Sciences),2013,110(45):18092-18097.
[3] Harris A W.The NEO population,impact risk,progress of current surveys,and prospects for future surveys[R].Presentation to the Survey/Detection Panel of the NRC Committee to Review Near-Earth Object Surveys and Hazard Mitigation Strategies,January 28-30,2009.
[4] Committee to Review Near-Earth Object Surveys and Hazard Mitigation Strategies.Defending Planet Earth:Near-Earth Object Surveys and Hazard Mitigation Strategies:Final Report[R].National Research Council,2010.
[5] Izzo,D.Optimization of interplanetary trajectories for impulsive and continuous asteroid deflection[J].Journal of Guidance,Control,and Dynamics,2007,30(2):401-408.
[6] Yuki Akiyama,Mai Bando,Shinji Hokamoto.On the possibility of using small asteroids for deflecting near-Earth asteroids[J].Advances in Space Research,2016,57:1820-1831.
[7] 王艺睿,李明涛.动能撞击小行星防御轨道优化设计[J].空间碎片研究,2019,19(3):44-49.
[8] 王艺睿,李明涛,周炳红.基于偏转距离近似模型的动能撞击小行星防御任务脉冲轨道优化研究[J].力学学报,2021,53(3):913-928.
[9] 张洪波.航天器轨道力学理论与方法[M].北京:国防工业出版社,2016.
[10] HolsappleKA,KevinHousen.Momentum transfer in asteroid impacts.I.Theory and Scaling[J].Icarus,2012,221(2):875-887.
[11] 张飞.小行星防御中的撞击研究[D].南京:南京大学研究生院,2019.
[12] Fehlberg E.Classical fifth-,sixth-,seventh-,and eighth-order Runge-Kutta formulas with step size control[R].NASA-TR-R-287,1968.