月球固体潮汐理论推导及其数值计算

项目基于目前国内外空间探月科学前沿，提出系统研究固体月球潮汐计划，为未来月基平台和当前对月精密观测提供精确潮汐改正。国内外已有的粗略的研究表明，月球固体潮汐要比地球固体潮的振幅约大1-2个数量级，建立在地球上的对月观测平台不仅要考虑地球固体潮，还要考虑月球固体潮的影响，两者相加超过100cm，是观测中必须要考虑的改正项。本项目计划完成固体月球潮汐从理论到数值计算的系统研究，结合最新月球内部结构模型，重新计算月球勒夫数，并且研究达到毫米量级径向位移需要保留的勒夫数阶数。首次计算并给出月球引潮位展开表，利用目前最新也是精度最高的月球星历表DE430，采用公式解析展开方法，计算并给出达到和目前地球引潮位精度（10-11m•s-2）相近的月球引潮位展开表。最后根据月球勒夫数和月球引潮位展开表，计算月球表面上固定点和全月面的四类固体潮（径向位移、重力、倾斜和应变），并研究四类固体潮的时空特征。

Based on the the scientific forontier of sapce explaration of the Moon in China and foreign countries, a plan to systemaltically investigate the soldi moon tides are put up in the project. Previous rough estiamtions of the solid moon tides show that the magnitude of the solid moon tides is about 1-2 order larger than that of the earth. And tidal corrections not only for the earth but also for the moon is absolutely needed for lunar ranging observations at the earth surface. Therefore, the solid moon tides are systematically studied from the theroy deviation to the numerical calculation. The moon Love numbers are recomputed using the latest moon’s interior structure model. The order of the Love numbers are tested to finally give a mm accuracy in ridial displacement. The moon tidal potentical catalogue is given for the first time in the world in the project. The latest and currently the most precise moon ephemeris DE430 is used for this catalogue, and the Formula analytic expansion is adopted for it. The accuracy of the catalogue is near the current accuracy of the corresponding catalogue for the earth, which is about 10-11m•s-2. Finnaly, based on the lunar Love nubers and the moon tidal catalogue calculated, four kinds of solid tides of the moon (radial dispalacement, gravity, tilt and strain) are computed for a fixed point on the moon surface and the whole moon surface. Then time and space characteristics of these four kinds of tides are analyzed.