A planet of mass `m` moves around the Sun of mass Min an elliptical orbit. The maximum and minimum distance of the planet from the Sun are `r_(1)` and `r_(2)`, respectively. Find the relation between the time period of the planet in terms of `r_(1)` and `r_(2)`.

Options

A. `sqrt((2GMr_(1))/((r_(1)+r_(2))r_(1)))`
B. `sqrt((2GMr_(1))/((r_(1)+r_(2))r_(2)))`
C. `sqrt((2GMr_(2))/((r_(1)+r_(2))r_(1)))`
D. `sqrt((2GM)/(r_(1)+r_(2))`

Answer

A