   Chapter 11.6, Problem 45E

Chapter
Section
Textbook Problem

# GeographyBecause of the forces caused by its rotation, Earth is an oblate ellipsoid rather than a sphere. The equatorial radius is 3963 miles and the polar radius is 3950 miles. Find an equation of the ellipsoid. (Assume that the center of Earth is at the origin and that the trace formed by the plane z = 0 corresponds to the equator.) To determine

To calculate: For the givenmeasure, find the equation of ellipsoid

Explanation

Given:

The equatorial radius is 3963 miles and the polar radius is 3950 miles and the trace formed by z=0 corresponds to the equator.

Formula used:

The standard equation of ellipsoid is,

x2a2+y2b2+z2c2=1

Calculation:

As we know the standard equation of ellipsoid is,

x2a2+y2b2+z2c2=1

It is given that,

xy plane, corresponds to the equator.

As the trace formed by the plane z=0,

It implies that the trace of xy plane is a circle of radius as equatorial radius as the semi axes are same

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