Abstract—

A new algorithm for autonomous long-term predictions realized in ground navigation receivers for ephemerides of GLONASS and GPS spacecraft is developed and analyzed. The algorithm can be applied to determinations of user’s coordinates, when it is impossible or difficult to receive the spacecraft ephemerides (for example, in conditions of a bad radio-visibility of the satellites). It is shown that the accuracy of the method exceeds similar characteristics of other known solutions. It is also shown that the coefficients, which take account of the solar pressure and are specific for each satellite, differ for different generations of spacecraft. Simultaneously with parameters of the satellite motion, the Earth’s polar coordinates can be determined with the accuracy of several arc milliseconds. Using the autonomous algorithm for predictions of spacecraft ephemerides significantly advances both the search for visible GLONASS and GPS satellites and the first determination of user’s coordinates after “cold” starts of receivers. This article is based on the report presented at the conference Astrometry Yesterday, Today, and Tomorrow, conducted at Sternberg Astronomical Institute, October 14–16, 2019.

中文翻译：

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在导航接收器中实现的GLONASS和GPS航天器运动的自主预测

摘要-

开发并分析了在GLONASS和GPS航天器的星历表的地面导航接收机中实现的自主长期预测的新算法。当不可能或很难接收航天器星历表时（例如，在卫星的无线电能见度很差的情况下），该算法可用于确定用户坐标。结果表明，该方法的准确性超过了其他已知解决方案的相似特性。还表明，考虑到太阳压力并且对于每个卫星而言特定的系数对于不同世代的航天器是不同的。与卫星运动的参数同时，可以几毫秒的精度确定地球的极坐标。使用自主算法预测航天器星历表，不仅可以显着推进对可见GLONASS和GPS卫星的搜索，而且可以在接收器“冷”启动后首先确定用户的坐标。本文基于2019年10月14日至16日在Sternberg天文学研究所举行的昨天，今天和明天的Astrometry会议上提交的报告。