Temperature Field Formation in a Planet due to Tidal Deformations

被引：0

作者：

Vil'ke, V. G. ^{[1
]}

Danilkin, A. N. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Leninskie Gory, Moscow 119899, Russia

来源：

MOSCOW UNIVERSITY MECHANICS BULLETIN | 2012年 / 67卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Deformation - Gravitation - Heat conduction - Tensors;

D O I：

10.3103/S0027133012040024

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A model of a planet considered as a homogeneous viscoelastic sphere in the gravitational field of a point mass is discussed. Tidal deformations occur in the process of their mutual motion. The deformation rate tensor and the corresponding dissipative function are found. The time variation of the deformation tensor components accompanied by the heat release at each point of the planet causes the formation of a temperature field described by the inhomogeneous heat conduction equation. The temperature field is determined by averaging with respect to the proper rotation angle and is estimated for the Moon.

引用

页码：84 / 91

页数：8