For a planet in an elliptical orbit about the Sun, the squareof the planets period is

Chapter 12, Problem 3

(choose chapter or problem)

In exercises that require numerical values, use Table 12.7.1 and the following values, where needed:

radius of Earth = 4000 mi = 6440 km

radius of Moon = 1080 mi = 1740 km

1 year (Earth year) = 365 days

Use the result in Exercise \(1(d)\) to show that for a particle in an elliptical orbit with eccentricity  \(e\), the maximum and minimum speeds are related by

                                      \(v_{\max }=v_{\min } \frac{1+e}{1-e}\)

Equation Transcription:

Text Transcription:

1(d)  

e  

v_max=v_min 1+e/1-e