摘要
就一些现行教科书中Viril定理的叙述及证明提出质疑 .N体系统成为稳定系统的必要条件在这些书中被表示为系统转动惯量对时间的二阶导数为零 (¨I =0 ) ,而三体问题中的稳定特解———等边三角形特解却给出了一个反例 .相应的修正是 :将 ¨I =0改为〈¨I〉 =0 .
The statement and demonstration of Viril theorem in existing textbooks is questioned, where the necessary condition of stability for N body problem is expressed by vanishing the second derivative of moment of inertial with respect to time. However a stable special integral in 3 body problem—the equilateral triangle equilibrium—gives an opposite example. A reasonable correction is to replace the equation =0 with 〈 〉=0.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2000年第2期195-197,共3页
Journal of Beijing Normal University(Natural Science)
