物体的运动属于天文学和物理学的经典问题，其引起的引力波辐射是当前广义相对论的前沿和研究热点。本项目拟研究Kerr-Newman时空中物体的运动及引力波辐射规律，主要内容包括但不仅限于：推导经典黑洞引力场中束缚态点粒子一般运动的2.5阶后牛顿（PN）解析解；探索广义相对论框架下延展体自旋补充条件的物理内涵；研究黑洞引力场中含有自旋和四极矩的延展体的后牛顿动力学及其一般运动规律包括可能的混沌效应；推导黑洞引力场中点粒子和自旋粒子2.5PN运动的引力波辐射公式，并发展关于物体四极矩对其引力波辐射的效应的计算方法；最后研究黑洞引力场中含有自旋和四极矩的延展体的引力波辐射的一般规律，建立并完善极端质量比旋进系统的引力波理论预言模板。本项目的研究将提升人们对于物体运动规律的认知，并为我国未来的空间引力波探测服务，具有重大的科学意义和实际应用价值。

The motion of bodies is a classical problem in astronomy and physics, and the produced gravitational-wave radiation is the frontier and the research hotspot of the general relativity. In this project, we will study the motion and the gravitational-wave radiation of the bodies in the Kerr-Newman spacetime. The main contents include but are not limited to the followings. First, we will derive the 2.5 post-Newtonian (PN) analytical solution to the general motion of the bound particle in the gravitational field of the classical black hole. Second, we will explore the physical nature of the spin supplementary conditions for the extended bodies in the frame of the general relativity. Third, we will study the post-Newtonian dynamics for the extended bodies with spin and quadrupole, as well as their general motion including possible chaotic effects. Fourth, we will formulate the gravitational-wave radiation induced by the 2.5PN motion of the point mass and the spinning particle in the Kerr-Newman spacetime, and develop the method for calculating the effects of the bodies’ quadrupole on their gravitational-wave radiation. Finally, we will study the general laws for the gravitational-wave radiation of the extended bodies, and build the theoretical prediction template for the gravitational wave of the extreme mass-ratio inspirals. These studies will promote people’s understanding of the laws for the motion of bodies, and serve for the future space-detection of the gravitational wave of China. Therefore, this project is of importance in both scientific significance and real applications.