太阳系动力学ⅰ:轨道倾角和节点进动

Q4 Mathematics

Geometry, Integrability and Quantization Pub Date : 2022-01-01 DOI:10.7546/giq-23-2022-1-38

R. G. Calvet

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引用次数: 0

摘要

在相对坐标系中求解了天体动力学方程，并将其应用于太阳系，计算了J2000点行星轨道的升交点经度和倾角相对于黄道和圆形轨道近似下的拉普拉斯不变平面的平均变化率。这样得到的理论取代了拉格朗日-拉普拉斯的世俗进化论。给出了从赤道和黄道坐标系到拉普拉斯不变平面的变换公式。

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On the Dynamics of the Solar System I: Orbital Inclination and Nodal Precession

The dynamic equations of the $n$-body problem are solved in relative coordinates and applied to the solar system, whence the mean variation rates of the longitudes of the ascending nodes and of the inclinations of the planetary orbits at J2000 have been calculated with respect to the ecliptic and to the Laplace invariable plane under the approximation of circular orbits. The theory so obtained supersedes the Lagrange-Laplace secular evolution theory. Formulas for the change from the equatorial and ecliptic coordinates to those of the Laplace invariable plane are also provided.

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来源期刊

Geometry, Integrability and Quantization Mathematics-Mathematical Physics

CiteScore

0.70

自引率

0.00%

发文量