Discuss the variation of acceleration due to gravity with altitude.

Dear student,

Acceleration due to gravity on the surface of earth:g=GMR2Acceleration due to gravity at some altitude 'h' from the surface of earth:g'=GMR+h2g'g=GMR+h2GMR2      =RR+h2      =R+hR-2      =1+hR-2      =1-2hR (by neglecting higher terms in binomial expansion when h <<R)Hence,g'=g1-2hRCase I: When h is considerable compared to Rg'=gRR+h2Case II: When h is not considerable compared to Rg'=g1-2hR
Regards

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