Online ISSN : 1883-5058
Print ISSN : 1883-5031
ISSN-L : 1883-5058

ラグランジュこまの運動様式の初期値パラメータによる分類

ジャーナル フリー

2012 年 4 巻 1 号 p. 9-17

In this paper, we show that behaviors of Lagrange's top are classified with parameter which at first was introduced to modify the coordinate of the equilibrium point of Euler's equations. The method of classification is as follows. At first, we represent the canonical equations of for Lagrange's top. We then make a parametric survey of potential function, so that we decide a mapping between typical motions of the top and the values of. This approach also makes it clear that there are two different modes of stationary precession and that a sleeping top mode can be reduced from a Lagrange's top. The method of numerical integration is the one which keeps the value of Hamiltonian constant.