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What is meant by superposition of gravitational field?

Answer»

Solution :Consider 'n' particles of masses `m_1, m_2, .........m_n ,` distributed in SPACE at positions `vecr_1, vecr_2, vecr_3........,` etc, with RESPECT to POINT P. The total gravitational FIELD at a point P due to all the masses is given by the vector SUM of the gravitational field due to the individual masses. This principle is known as superposition of gravitational fields.
`vecE_("total") = vecE_1 + vecE_2 + .......vecE_n`
` =- (Gm_1)/(r_1^2) harr_1 - (Gm_2)/(r_2^2) hatr_2 - ......(Gm_n)/(r_n^2)hatr_n = - sum_(i=1)^(n) (Gm_i)/(r_i^2) hatr_i`


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