New fast models of the Galactic tide
New fast models of the Galactic tide
复制标题
银河潮汐的新快速模型
DOI：
10.1111/j.1365-2966.2004.07507.x
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发表时间：
2004
影响因子：
4.8
通讯作者：
M. Fouchard
中科院分区：
文献类型：
--
作者：
M. Fouchard
研究了银河潮汐对奥尔特云彗星运动的作用的新模型。第一个由运动方程的哈密顿形式组成，该运动方程在包括潮汐径向分量的平均异常上取平均。第二个是一系列的映射，它允许显着减少计算机的时间。这些模型在三个不同的框架中进行了检验，其中一些模型在广泛的初始条件下是可靠的。在最后的实验中，我们模拟运输的10 - 5奥尔特云彗星的内太阳系下的银河系潮汐脉冲单独。对于这样的模拟，可靠性和计算机时间之间的最佳折衷是由一个映射的顺序3，这是超过500倍的速度比通常的数值积分，可以安全地使用时，彗星半长轴a < 30 000 Au。本研究突出了银河潮汐的径向分量的定性影响。在这里建立的模型将用于即将发表的论文中，对包括行星摄动在内的长周期彗星的运输进行更现实的研究。
New models of the action of the Galactic tide on the motion of the Oort Cloud comets are investigated. The first one consists of the Hamiltonian form of the equations of motion which are averaged over the mean anomaly including the radial component of the tide. The second is a series of mappings which allows a noticeable reduction of the computer time. These models are checked in three different frames, and some of them turn out to be reliable for a wide range of initial conditions. In the last experiment we simulate the transport of 10 5 Oort Cloud comets to the inner Solar system under the Galactic tide impulse alone. For such a simulation, the best compromise between reliability and computer time is given by a mapping of order 3 which is more than 500 times faster than the usual numerical integrations and may be safely used when the comet semimajor axes a < 30 000 au. The present study highlights the qualitative effects of the radial component of the Galactic tide. The models built here will be used in a forthcoming paper for a more realistic study of the transport of long-period comets including planetary perturbations.