MOND理论和暗物质模型的检验

从理论上探讨在地球引力系统内，修正动力学的引力理论以及暗物质模型的预言．着重研究修正动力学(MOND)的引力理论中一些常用的模型，对其中一个最简单模型，给出了球对称情况下引力势的一般表达式，计算了地球引力场中这些模型预言的卫星角速度，发现不同模型给出的角速度是不相同的，并且将这些值分别与牛顿理论的角速度值相比较．虽然这些模型的角速度与牛顿理论角速度的差异都很小，但简单模型的差异更大一些．对于月球作为卫星的情况，目前的技术有可能对这个角速度差进行实际观测．最后估算暗物质模型中月球绕地球运动角速度所受到的影响，证明它远远小于MOND理论的效应．由此对这个角速度差的观测，就构成检验MOND理论与暗物质模型的一个判据．

A Test of MOND Theory and the Model of Daek Matter

It is to search for possible detections of the gravitational effects of two different theories of gravity and the effects of the dark matter model within the Earth system. First, as the main subject, it studies the MOND theory and apply to the Earth system. On calculating the angular velocity of a satellite circling around the Earth, it finds that the angular velocity predicted by the MOND differs from that predicted by the conventional Newtonian theory, and the fractional difference is of order of 10 - 8or10- 15, which is still within the range of modern technology of time-measurement. Finally the possible influences on the angular velocity of the Moon within the dark matter model are studied and found that effects are negligibly tiny. Thus it comes to a new criterion to distinguish the conventional dark matter model and the MOND theory. If the observation can be really carried out, it would be of great significance to the study of gravity.