太阳系动力学II:轨道平面的演化

Q4 Mathematics

Geometry, Integrability and Quantization Pub Date : 2022-01-01 DOI:10.7546/giq-24-2022-39-64

R. G. Calvet

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引用次数: 0

摘要

在近似圆形轨道的情况下，计算了行星轨道平面方向的演化。每个轨道平面的升交点的倾角和经度，然后用几千年周期的时间复指数的线性组合来描述。水星、木星和土星的这些轨道元素的演变，以及黄道的演变，都被展示了出来。最后，计算了自J2000年以来，从$- 2,000,000 $到$+ 2,000,000 $的黄道倾角。在这个时间间隔内，它的范围从$10^\circ$到$35^\circ$。

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On the Dynamics of the Solar System II: Evolution of the Orbital Planes

The evolution of the orientations of the orbital planes of the planets is calculated under the approximation of circular orbits. The inclination and the longitude of the ascending node of each orbital plane are then described by means of a linear combination of complex exponentials of time with periods of several thousand years. The evolution of these orbital elements for Mercury, Jupiter and Saturn is displayed as well as that of the ecliptic. Finally, the obliquity of the ecliptic is computed from $-2\,000\,000$ to $+2\,000\,000$ years since J2000. It ranges from $10^\circ$ to $35^\circ$ in this time interval.

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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