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The figure shows elliptical orbit of a p...


The figure shows elliptical orbit of a planet m about the sun S. the shaded area SCD is twice the shaded area SAB. If `t_(1)` be the time for the planet to move from C to D and `t_(2)` is the time to move from A to B, then:

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According to Kepler's `II^(nd)` law, area velocity for the palnet is constant
`:. " "(A_1)/(t_1)= (A_2)/(t_2), A_1=2A_(2)`
`:. " "(2A_2)/(t_1)= (A_2)/(t_2)`
`t_1= 2t_2`.
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