Demchenko在1923年贝尔格莱德的博士论文之后，
Demchenko's nonholonomic case of gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis
摘要：
本文给出了陀螺球在球面上滚动而不滑动的可积非完整情形。瓦西里耶·德姆琴科（Vasilije Demchenko）在1923年的博士论文中详细介绍和研究了这一案例，他在贝尔格莱德大学答辩，安东·比利莫维奇（Anton Bilimovic）担任顾问。这些结果对现代研究人员来说是绝对未知的。本研究以C. Neumann坐标和Voronec原理利用椭圆函数的相关技巧，对运动进行了详细的研究。几个特殊类别的轨迹进行了区分，包括定期和伪定期岁差。所谓的显着的轨迹，介绍了保罗Painleve和安东Bilimovic，在这种情况下描述。的历史背景以及在当代力学的结果的地方进行了概述。
英文摘要：
We present an integrable nonholonomic case of rolling without sliding of a gyroscopic ball over a sphere. This case was introduced and studied in detail by Vasilije Demchenko in his 1923 doctoral dissertation defended at the University of Belgrade, with Anton Bilimovic as the advisor. These results are absolutely unknown to modern researchers. The study is based on the C. Neumann coordinates and the Voronec principle. By using involved technique of elliptic functions, a detailed study of motion is performed. Several special classes of trajectories are distinguished, including regular and pseudo-regular precessions. So-called remarkable trajectories, introduced by Paul Painleve and Anton Bilimovic, are described in the present case. The historic context as well as the place of the results in contemporary mechanics are outlined.
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