| 彗木相撞的不可压缩分层流体模型 |
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| 引用本文： | K.ZHANG,陈道汉,C.Jones.彗木相撞的不可压缩分层流体模型[J].天文学报,2004,45(2):176-185. |
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| 作者姓名： | K.ZHANG 陈道汉 C.Jones |
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| 作者单位： | 1. School of Mathematical Sciences,University of Exeter,Exeter,EX4 4QJ,UK.
2. School of Mathematical Sciences,University of Exeter,Exeter,EX4 4QJ,UK.;中国科学院紫金山天文台,南京,210008 |
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| 基金项目： | 国家自然科学基金(项目编号19973018) |
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| 摘 要： | 提出了一个彗木相撞的线性模型．在这个模型中，将木星大气看作是一个分层的、不可压缩和无粘滞的流体层，而与撞击相联的引力波则由一个初始冲力所造成．采用初始冲压P(r，z，0)代替初始表面形变作为初始条件．发现这种做法使得问题的数学处理更加方便，特别是在计算流体粒子的垂直位移和摄动势能方面，后者可以表为P(r，z，0)的有限傅立叶正弦和余弦变换．导出了一个联系彗星碰撞参数、木星大气参数和所设初始冲力之间的关系式．还对两种P(r，z，0)的假设形式分析地导出表面波波高．
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| 关 键 词： | 休梅克-列维彗星 木星 碰撞 卫星 不可压缩分层流体模型 |
| 修稿时间： | 2003年8月5日 |
An Incompressible Stratified Fluid Model of the Comet's Collision with Jupiter |
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| K Zhang,CHEN Dao-han,C Jones School of Mathematical Sciences University of Exeter Exeter EX QJ,UK. Purple Mountain Observatory,Chinese Academy of Sciences Nanjing.An Incompressible Stratified Fluid Model of the Comet''''s Collision with Jupiter[J].Acta Astronomica Sinica,2004,45(2):176-185. |
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| Authors: | K Zhang CHEN Dao-han C Jones School of Mathematical Sciences University of Exeter Exeter EX QJ UK Purple Mountain Observatory Chinese Academy of Sciences Nanjing |
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| Institution: | K Zhang,CHEN Dao-han,C Jones School of Mathematical Sciences University of Exeter Exeter EX4 4QJ,UK. Purple Mountain Observatory,Chinese Academy of Sciences Nanjing 210008 |
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| Abstract: | A linear model of the comet's collision with Jupiter is presented, in which the
Jovian atmosphere is considered as a stratified, incompressive and inviscid fluid layer and
the gravity wave associated with the impacts is caused by an initial impulse.
In stead of adopting an initial surface deformation, we take an initial impulsive pres-
sure P(r, z, o) as the initial condition. It is found that this approach is more convenient for
the mathematical formulation of the problom, especially for the computation of the verti-
cal displacement of the fluid particles and the perturbation potential energy which can be
expressed by finite Fourier sine and cosine transform of P(r, z, o).
A relationship among cometary impact parameter, Jovian atmosphere parameter and
the assumed initial impulse is deduced. We also derive the wave height of the surface wave
analytically for two assumed forms of P(r, z, o). |
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| Keywords: | comets: Shoemaker-Levy comet planets and satellite: jupiter |
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