Long-term integrations and stability of planetary orbits in our Solar system
Long-term integrations and stability of planetary orbits in our Solar system
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DOI：
10.1046/j.1365-8711.2002.05765.x
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发表时间：
2002-10-21
影响因子：
4.8
通讯作者：
Tanikawa, K
中科院分区：
文献类型：
--
作者：
Ito, T;Tanikawa, K
我们提出了包括所有九颗行星在内的10(9)年时间跨度内行星轨道运动的长期数值积分结果。对我们的数值数据的快速检查表明，行星运动，至少在我们的简单动力学模型中，即使在很长的时间跨度内，似乎也是相当稳定的。使用低通滤波器仔细观察最低频率振荡，我们可以看到类地行星运动的潜在扩散特征，尤其是水星。在我们的积分中，水星的离心率的行为在性质上类似于雅克·拉斯卡尔的长期摄动理论的结果（例如，e （max）类似于0.35除以类似于+/- 4 Gyr）。然而，在行星的任何轨道元素中，没有明显的离心率或倾斜度的长期增加，这可以通过更长期的数值积分来揭示。我们还进行了几次尝试整合，包括外五颗行星在+/- 5 x 10（10）年的持续时间内的运动。结果表明，海王星-冥王星系统的三个主要共振在10（11）年的时间跨度内一直保持着。
We present the results of very long-term numerical integrations of planetary orbital motions over 10(9)-yr time-spans including all nine planets. A quick inspection of our numerical data shows that the planetary motion, at least in our simple dynamical model, seems to be quite stable even over this very long time-span. A closer look at the lowest-frequency oscillations using a low-pass filter shows us the potentially diffusive character of terrestrial planetary motion, especially that of Mercury. The behaviour of the eccentricity of Mercury in our integrations is qualitatively similar to the results from Jacques Laskar's secular perturbation theory (e.g. e (max)similar to 0.35 over similar to+/- 4 Gyr). However, there are no apparent secular increases of eccentricity or inclination in any orbital elements of the planets, which may be revealed by still longer-term numerical integrations. We have also performed a couple of trial integrations including motions of the outer five planets over the duration of +/- 5 x 10(10) yr. The result indicates that the three major resonances in the Neptune-Pluto system have been maintained over the 10(11)-yr time-span.