Calculating the pressure in the earth’s interior by using Gauss theorem of
gravitational field

LIAO Si-han, YANG Xing, LU Tong-suo , HU Jing

doi:10.16854/j.cnki.1000-0712.190528

College Physics >

2020 , Vol. 39 >Issue 8: 35 - 38

DOI: https://doi.org/10.16854/j.cnki.1000-0712.190528

Calculating the pressure in the earth’s interior by using Gauss theorem of gravitational field

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1.Department of Physics，Tibet University，Lhasa，Tibet 850000，China; 2.Shanghai Institute of Applied Physics，Chinese Academy of Science，Shanghai 201800，China

Received date: 2019-11-19

Revised date: 2020-01-16

Online published: 2020-09-07

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Abstract

In this paper，the concept of Gauss theorem of gravitation field is established based on the similarity

between electrostatic field and gravitation field. We have got the equation of Gauss theorem of gravitation field by analogy，

and of which the earth is approximately regarded as a celestial body with spherical symmetry of mass distribution.

According to the density distribution model of the earth，we fit and calculate the pressure in the earth’s interior

by means of the MATHEMATICA software. It provides a new thinking and way to study the pressure in the

Earth’s interior. Finally，we analyze and discussed the error sources in approximate calculations.

Key words： gauss theorem; earth; the density distribution model; gravitational field; the pressure

Cite this article

LIAO Si-han, YANG Xing, LU Tong-suo , HU Jing . Calculating the pressure in the earth’s interior by using Gauss theorem of gravitational field[J]. College Physics, 2020 , 39(8) : 35 -38 . DOI: 10.16854/j.cnki.1000-0712.190528

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