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

question 155

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 $$0 \leq \theta < 2 \pi$$
- $$\mathrm { r } = \frac { \mathrm { a } \left( 1 - \mathrm { e } ^ { 2 } \right) } { 1 + \mathrm { e } \cos \theta }$$ Given that the polar equation r models the orbits of the planets about the sun, estimate the closest approach of a planet for which a = 21 and e = 0.79 to the sun.

• A) 8 astronomical units
• B) 2 astronomical units
• C) 4 astronomical units
• D) 38 astronomical units

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