Nonlinear Analysis and Boundary Value Problems by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030269876
Publisher: Springer International Publishing

The first vector in this sum is constant, the second one depends on the position of point on the plane .

Since , traditionally they include this term in the geopotential and turn the axis such that the constant vector

in the new coordinate system is directed strictly vertically. In fact, we should turn the coordinate system by the angle such that

therefore

We can see that , since .

Thus, we change the spherical surface of planet to the geopotential surface and regard the surfaces of constant as being true spheres. The horizontal component of apparent gravity is then identically zero (see the details in [15], Sect. 2.2.1).

If we are exactly at the origin, the term is zero. However, in the general case

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