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关于轨道摄动概念的一个佯谬与教学思考

A PARADOX IN THE CONCEPT OF ORBITAL PERTURBATION AND SOME THOUGHTS IN THE TEACHING
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摘要 轨道摄动理论用来处理受摄二体问题的轨道预报和演化分析,以及轨道修正等控制策略设计,是轨道力学课程的核心知识点。笔者在科研工作中曾想到一个关于轨道摄动概念的佯谬,经分析进行了合理解释。该佯谬涉及轨道要素的定义,及其与位置速度矢量的转换。笔者将该佯谬引入到课程教学中,引导学生进行独特角度的思考,增强了他们对基础概念的透彻掌握,锻炼了他们的独立思考能力,提高了课程的高阶性和挑战度,取得很好的教学效果。 Orbital perturbation theory is broadly used for predicting and analyzing the evolution of perturbed two-body problem,as well as designing control strategies for orbit corrections.Consequently,orbital perturbation is a core topic in orbital mechanics courses.During our research,we identified a paradox about the concept of orbital perturbation and provided a reasonable explanation after some analyses.This paradox involves the definition of orbital elements and their conversion with the position and velocity vectors.We introduced this paradox into the course instruction,guiding students to engage in critical thinking from unconventional perspectives.This pedagogical approach significantly enhanced their comprehensive grasp of fundamental concepts while cultivating independent thinking capabilities.By elevating the course's challenge level,the implementation yields substantial improvements in teaching efficacy and student learning outcomes.
作者 王悦 韩潮 WANG Yue;HAN Chao(School of Astronautics,Beihang University,Beijing 102206,China)
出处 《力学与实践》 2025年第4期818-822,共5页 Mechanics in Engineering
基金 北京航空航天大学研究生核心课程建设项目和北京航空航天大学教学改革项目(2023年)资助。
关键词 轨道力学 轨道摄动 轨道要素 摄动方程 orbital mechanics orbital perturbation orbital elements perturbation equation
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