CBSE Class 11-science Answered
a planet moves around the sun in nearly circular orbit its speed of revolution depends upon
radius of orbit
2.mass(m)of the sun
3.gravitational constant(g)
show that T2 is directly propotional to R3
Asked by krishnamurthyganapathy1968 | 13 Jun, 2019, 06:17: PM
Expert Answer
when a planet moves in a circular orbit aroun the sun, centripetal force equals the gravitational attraction force
between planet and sun.
Hence we have, 
where m is mass of planet, M is mass of sun, v is orbital velocity, R is orbital radius and
G is universal gravitational constant.
If T is period of revolution, then we have, v = (2πR) / T ......................(2)
By substituting v from eqn.(2) in eqn.(1) and after simplification, we get, 
Answered by Thiyagarajan K | 13 Jun, 2019, 07:09: PM
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