The line that joins the saturn to the su...

The line that joins the saturn to the sun sweeps area `A_(1), A_(2)` and `A_(3)` in time intervals of `6` weeks, `3` weeks and `2` weeks respectively as shows in the Fig. What is the correct relation between `A_(1), A_(2)` and `A_(3)`?

Text Solution

Verified by Experts

According to kepler's law of area, the areal velocity of planet around the sun is constant. If `A` is the area swept by saturn in one weak, then
`A_(1) = 6A, A_(2) = 3 A` and `A_(3) = 2 A`
So, `A_(1) = 2 A_(2), A_(1) = 3 A_(3)`

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