Find curl v where v is the gravitation field given in Example 2. EXAMPLE 2 Suppose that the…

Find curl v where v is the gravitation field given in Example 2.

EXAMPLE 2

Suppose that the origin of a coordinate system is at the center of the earth and R is its radius. Denote by g the acceleration due to gravity at the surface of the earth. For points p in R3 let r be the vector having  as a representative, and set r = |r|. From classical physics it is known that the vector field of force due to gravity, denoted v(p) and called the gravitational field of the earth, is given approximately by

 

 

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