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arXiv 1801.09098gr-qc
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LArase卫星自旋mOdel解决方案(LASSOS):LAGEOS和LARES卫星自旋演变的综合模型

The LArase Satellites Spin mOdel Solutions (LASSOS): a comprehensive model for the spin evolution of the LAGEOS and LARES satellites

Massimo Visco, David M. Lucchesi

摘要:

LAGEOS和LARES这两颗卫星是激光测距卫星,跟踪精度是有史以来最高的。利用它们的距离测量,计算了许多地球物理参数,并直接观察到一些广义相对论效应。为了获得由于广义相对论对这些卫星轨道的预测而产生的影响的精确和精细的测量,必须以高精度和准确度对所有其他力进行建模,减少在轨道确定中引入的自由参数。要考虑的非引力的主要类别是那些热起源,其精细建模强烈依赖于自旋矢量的演变的知识。我们提出了一个完整的模型,命名为LASSOS,描述的LAGEOS和LARES卫星的自旋的演变。特别是,我们解决了欧拉方程的运动考虑非平均扭矩。这是最一般的情况,模型的预测很好地符合卫星自旋的现有观测。我们还提出了我们的模型的预测,在快速自旋限制,平均方程的应用程序的基础上。结果与已经发表的结果非常一致,但通过我们的方法,我们已经能够突出这些以前的作品中的小错误。LASSOS是在LARASE研究计划内开发的。LARASE的目的是改进LAGEOS和LARES两颗卫星的动力学模型,以提供关于相对论对其轨道的影响的非常精确和准确的测量,并为天体物理学和空间大地测量学带来好处。

英文摘要:

The two LAGEOS and LARES are laser-ranged satellites tracked with the best accuracy ever achieved. Using their range measurements many geophysical parameters were calculated and some General Relativity effects were directly observed. To obtain precise and refined measurements of the effects due to the predictions of General Relativity on the orbit of these satellites, it is mandatory to model with high precision and accuracy all other forces, reducing the free parameters introduced in the orbit determination. A main category of non-gravitational forces to be considered are those of thermal origin, whose fine modeling strongly depends on the knowledge of the evolution of the spin vector. We present a complete model, named LASSOS, to describe the evolution of the spin of the LAGEOS and LARES satellites. In particular, we solved Euler equations of motion considering not-averaged torques. This is the most general case, and the predictions of the model well fit the available observations of the satellites spin. We also present the predictions of our model in the fast-spin limit, based on the application of averaged equations. The results are in good agreement with those already published, but with our approach we have been able to highlight small errors within these previous works. LASSOS was developed within the LARASE research program. LARASE aims to improve the dynamical model of the two LAGEOS and LARES satellites to provide very precise and accurate measurements of relativistic effects on their orbit, and also to bring benefits to geophysics and space geodesy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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