AN ACCURATE MAfHEMAfICAL MODEL FORSATELLITE EPHEMERIS
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摘要: 针对近圆的近地卫星轨道提供了一种高精度的计算卫星星历的数学模型,该模型利用10个固定参数来拟合轨道的长期和长周期变化部分,短周期变化部分利用已有的理论结果。充分利用近圆轨道的特点将田谐项引起的短周期变化部分进行同频合并后,最终的分析表达式相当简单。该模型还有相当大的灵活性,可以根据不同的精度要求进行相应的选择,其最大误差可控制在50m以下。Abstract: An accurate mathematical model for calculating satellite ephemeris is givenin this paper, which is designed to apply to near the Earth and approximatelycircular orbits. The model uses 10 constant parameters to fit the secular and longperiodical variations of the orbit, while the short periodical variations caused bytesseral harmonics of the geopotential field are based on the known theoreticalresults. By sorting the terms with same frequency the formulae become quite simple.In addition, the model is also flexible to use and can be justified with differentaccuracy requirements up to 50 meters.
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Key words:
- Near earth satellite /
- Satellite orbit /
- Orbit calculation /
- Ephemerismodel
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