The Fomenko-Zieschang invariant of an interesting case of an integrable billiard book is calculated and it is shown that such a book models dynamics of the Goryachev-Chaplygin integrable case on a constant-energy surface.

中文翻译：

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模拟高拉切夫-查普利金案的台球书的利维尔叶

计算了可积台球书的一个有趣案例的Fomenko-Zieschang不变量，并且表明这种书对恒能量表面上Goryachev-Chaplygin可积案例的动力学进行了建模。