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首页> 外文期刊>The Journal of the Astronautical Sciences >Earth Satellite Perturbation Theories as Approximate KAM Tori
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Earth Satellite Perturbation Theories as Approximate KAM Tori

机译：地球卫星摄动理论近似为KAM Tori

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Several standard Earth satellite general perturbation models can be converted into KAM tori, and are compared to KAM tori constructed from full geopotential integrations. Converting perturbation theories into tori allows absolute identification of spectral lines with the classical orbital elements. Comparisons are made of each torus representation against numerical integrations, and the torus spectra are also compared. The torus canonical coordinates Q_i are identified as the analogues of the "mean" mean anomaly the longitude of the mean node Ω-θ_g, and the mean argument of perigee The associated torus canonical momenta P, are approximately the usual Delaunay momenta. A norm on multiply-periodic functions allows the actual "distance" between perturbation theory tori and actual geopotential tori to be measured, and the frequency errors can be estimated. KAM tori and numerical integration can agree to meter level accuracy over time intervals of a decade.
机译：可以将几种标准的地球卫星一般摄动模型转换为KAM tori，并将其与从完全地势积分构建的KAM tori进行比较。将扰动理论转换为花托，可以用经典的轨道元素对谱线进行绝对识别。对每个环面表示与数值积分进行比较，并比较环面谱。圆环规范坐标Q_i被标识为平均节点Ω-θ_g的“平均”平均异常经度和近地点的平均自变量的类似物。相关的圆环规范矩P大约是通常的Delaunay矩。乘数周期函数的规范允许测量扰动理论托里与实际地理势托里之间的实际“距离”，并且可以估算频率误差。 KAM tori和数值积分可以在十年的时间间隔内达到电表液位精度。

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