Planets Travel in Elliptical Orbits with the Sun at One $2 a$

question 50

Multiple Choice

Planets travel in elliptical orbits with the sun at one focus. Assume that the focus is at the pole, the major axis lies on the polar axis, and the length of the major axis is $2 a$ (see figure) . The polar equation of the orbit of a planet is given below, where $e$ is the eccentricity. If $a = 88.908 \times 10 ^ { 6 }$ miles and $e = 0.0260$ , find the perihelion distance (the minimum distance from the sun to the planet) . Round your answer to the nearest mile.

• A) \(86,596,392\) miles
• B) \(91,219,608\) miles
• C) \(8,659,639\) miles
• D) \(9,121,961\) miles
• E) \(865,963,920\) miles

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