CBSE Class 11-science Answered
If an orbiting satellite suddenly loses height, will there be any change in time period ofit?
Asked by ayushmanbhargav05 | 05 Feb, 2020, 10:20: PM
Expert Answer
Satellite loses its height of orbit, if its energy is decreased.
When satellite is orbiting a circular path of radius R, its tangential speed v is given by
m ( v2 / R ) = ( G M m ) / R2 ...................(1)
where m is mass of satellite, G is gravitational constant and M is mass of earth.
LHS of eqn.(1) is centripetal force and RHS of eqn.(1) is gravitational force.
If we substitute the relation between tangential speed v and orbiting period T as
m v = ( 2 π R ) /T
in eqn.(1) and after simplification we get,
Answered by Thiyagarajan K | 06 Feb, 2020, 06:25: AM
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