物理与工程2025，Vol.35Issue(1)：29-34,6.
非引力中心势场中质点轨道封闭性初探
PRELIMINARY STUDY ON THE CLOSURE OF PARTICLE ORBITS IN A NON-GRAVITATIONAL CENTRAL POTENTIAL FIELD
摘要
Abstract
The inverse-square relationship of universal gravitation is crucial for the stability,especially the closedness,of planetary orbits.This paper studies the closedness of a trivial cir-cular orbit of a mass point in a special non-gravitational central potential field(spring elastic potential energy)after being perturbed.In the gravitational field,the orbits of bounded mo-tion of mass points are always closed.However,in this non-gravitational central potential field,both radial and tangential velocity perturbations will destroy the closedness of the origi-nal circular orbit and cause oscillations in the rotation period of the mass point around the cen-ter.Over a long period of time,the trajectory of the mass point fills the space region in the motion plane allowed by energy conservation.Under specific parameters,the trajectory of the mass point is sensitive to initial perturbation conditions and exhibits partial characteristics of chaos.These research contents,on the one hand,can help students master and apply the con-servation relationships of energy and angular momentum skillfully,and on the other hand,can deepen the understanding of the motion of mass points in central potential fields.关键词
中心弹性势/非封闭有界轨道/角动量守恒/能量守恒Key words
central elastic potential/non-closed bound orbits/conservation of angular mo-mentum/conservation of energy引用本文复制引用
杨立平,姜思琪..非引力中心势场中质点轨道封闭性初探[J].物理与工程,2025,35(1):29-34,6.基金项目
国家自然科学基金(12275048)资助. （12275048）
