Find the Polar Coordinates of the Point(s) of Intersection of the Given

question 138

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 $$0 \leq \theta < 2 \pi$$
- $$r = \frac { a \left( 1 - e ^ { 2 } \right) } { 1 + e \cos \theta }$$ Given that the polar equation r models the orbits of the planets, compare Earth's orbit relative to the sun with that of Pluto and describe the difference. For Earth, a = 1.00 and e = 0.017.
For Pluto, a = 39.4 and e = 0.249.

• A) Earth's orbit closely approximates a circle with the sun positioned at its center. Pluto's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from
• The center.
• B) Earth circles the sun, but Pluto does not.
• C) The orbits of Earth and Pluto are both circular, with the sun positioned at their centers, but the diameter of Pluto's orbit is about 40 times that of Earth.
• D) Pluto's orbit closely approximates a circle with the sun positioned at its center. Earth's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from
• The center.

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Definitions:

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