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A planet revolves around the Sun in an elliptical orbit. If the ratio of the maximum distance $r_{max}$ to the minimum distance $r_{min}$ is 4, what is the ratio of the maximum speed $v_{max}$ to the minimum speed $v_{min}$?
- A.$2$
- B.$4$
- C.$1/4$
- D.$8$
Show correct answer & step-by-step solution
Correct answer: B — $4$
Solution
By conservation of angular momentum, is constant. At perihelion and aphelion, , so .
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