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研究万有引力场中沿圆轨道运行的非对称陀螺体的姿态运动.引入Deprit正则变量建立系统的Hamilton结构.利用Melnikov方法证明在万有引力矩作用下陀螺体产生混沌运动的可能性.对Poincare截面的数值计算表明提高陀螺体的转子转速可对混沌起抑制作用。
Research on the attitude movement of asymmetric gyroscopes running in circular orbit in a universal gravitation field. Introducing Deprit Regular Variable to Establish Hamiltonian Structure of System. Melnikov method is used to prove the possibility of chaotic motion of the gyro under the moment of universal gravitation. The numerical calculation of the Poincare section shows that increasing the rotor speed of gyroscope can restrain the chaos.