地月系统非线性演化动力学  

Nonlinear Evolution Dynamics for the Earth-Moon System

作　　者：宋富高[1] 

机构地区：[1]深圳大学理学院,深圳518060

出　　处：《深圳大学学报（理工版）》2002年第1期15-27,共13页Journal of Shenzhen University(Science and Engineering)

摘　　要：针对当前理论在地月系统演化问题上所面对的困难 ,作者在潮汐摩擦力矩正比于起潮力和潮峰相对于地面的速率的乘积的假定下 ,建立了地月系统的一种非线性动力学演化理论 .其中潮汐耗损对地月系统演化的影响被归结为惟一的地球演化参数 ,并可由地球自转角加速度的长期观测值加以确定 ,由此便可得到地月距离、日长、回归年天数和朔望月天数等的长期演化规律 .理论显示一般的行星 卫星系统总共存在 4种迥然不同的演化方式 ,而地月系统遵循其中的“平静 暴胀 稳定演化”的模式演化 :约在 3 1× 1 0 9a以前 ,月亮几乎始终处在离地心 1 5 483× 1 0 7m的Roche极限内 ,地月之间的强大起潮力使得地壳演化长期处于构造活动期 ,也使月海火山和玄武岩频仍喷发 ;约在 3 1× 1 0 9a至 3 0× 1 0 9a前 ,地月距离突然暴胀了 1 0多倍 ,导致太古代地壳构造活动和月海玄武岩喷发迅速终止 ;然后地月系统处于稳定演化期 ,直至今日和未来 .由月海玄武岩喷发终止年代确定的目前地球自转角加速度为 ·ω0 =(-4 63 5 ± 0 0 76)× 1 0 - 2 2 rad/s2 ,与长期天文观测值完全一致 .理论给出在 5× 1 0 8a以前 ,地球回归年有 40 5d ,朔望月有 3 1d ,也与古生物学数据相符 .理论还证明了“Gerstenkorn事件”不可能发生 ,并为小行?A nonlinear dynamics evolution theory for the Earth Moon system has been derived under the assumption that the moment of tidal friction is in proportion to the product of tide producing force and the speed of the tide peaks relative to the Earths surface. Where, the influence of tidal dissipation on the evolution of Earth Moon system is only attributed to one Earth evolution parameter, which can be determined by the secular observed data of Earths current angular acceleration. In terms of the parameter, all evolution laws, for example, the distance from Earth to Moon, the length of a day and the number of a tropical years days can be obtained. Theoretically, there are totally four different evolution modes for a general planet satellite system, and the Earth Moon system follows the 'quiet inflation steady evolution' one. The Moon almost always stayed at the distance of 1 548 3×10 7 m apart from Earths center about 3 1×10 9 a ago. The powerful tide producing force makes the evolution of the Earths crust always to stay on the mobile period of Archean tectonics, also causes the Mare volcano and basalt to erupt frequently. Then the distance from Earth to Moon had suddenly inflated over 10 times between about 3 1×10 9 a and 3 0×10 9 a ago, which stopped the mobile period of Archean tectonics and the eruption of the Mare basalt in short order. And then the Earth Moon system has been in a steady evolution until now and aftertime. The Earths current angular acceleration determined by the data of the cutout time of Mare basalt eruption is  Aω·U5=(-4 635±0 076)×10 -22 rad/s 2, which is complete consistent with the secular observed value of astronomy. It is shown that a tropical year was 405 days and a synodic month was 31 days about 5×10 8 a ago, which coincide with the paleontological data, and the 'Gerstenkorn event' can never occur. The results obtained in this paper form the basis for the dynamic evolution origin theory of planetoid.

关 键 词：地月系统 潮汐摩擦 Roche极限 暴胀期 非线性演化动力学 太阳系 行星 地球 月球 潮汐耗损 

分 类 号：P136.2[天文地球—天体力学] P184.1[天文地球—天文学]