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The law of orbit: all planets move in elliptical orbit with the sun at one focus.
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✦ Kapler's law
☛ Law of orbit :- Every planet revolves around the sun in an elliptical orbit with sun at one of the focci.
☛ Law of area :- The line joining the sun and the planet sweeps out equal area in equal intervals of time.
☛ law of period :- The square of time taken by the planet to revolve around the sun is directly proportional to cube of mean distance.
T² ∝ r³
T = kr³
✦ Inverse square law
F = mv²/r
Distance = 2πr
v = 2πr/t
F = m (2πr/t)² / t/r
F = m ( 4π²r²/t²r)
F = m ( 4π²r/kr³)
F = (m 4π²/k) × 1/r²
F ∝ 1/r²
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