A variational difference method for obtaining the periodic solutions of N-body type Hamiltonian systems with singular potential was provided. By this difference scheme, infinitely many periodic solutions can be found.

• 摘要给出一种求解具有奇异势能N体问题周期解的新差分格式，利用这种差分格式可以得到无穷多个周期解，并通过一个具体算例说明了方法的有效性。