relation between gravitational potential and gravitational field intensity
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What is the relation between gravitational intensity and gravitational potential at a point? ... Gravitational intensity at a point is equal to negative value of gradient of potential at that point, i.e., I=-dV/dr.
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The gravitational field is the negative differential of the gravitational potential. Now the gravitational potential due to a particle at a distance r is −Gm/r where m is the mass of the particle. If I take the negative differential of this potential I get −Gm/r2, which should be the magnitude of the gravitational field due to that particle at a distance r.
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