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A planet of mass m moves around the Sun ...

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)`.

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To find the relation between the time period of a planet moving in an elliptical orbit around the Sun in terms of its maximum and minimum distances from the Sun, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Elliptical Orbit**: - The planet moves in an elliptical orbit with the Sun at one of the foci. The maximum distance from the Sun (aphelion) is denoted as \( r_1 \) and the minimum distance (perihelion) is denoted as \( r_2 \). 2. **Finding the Semi-Major Axis**: ...
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