The Halley's Comet Has an Elliptical Orbit with an Eccentricity $e \approx 0.967$

The Halley's Comet has an elliptical orbit with an eccentricity of $e \approx 0.967$ .The length of the major axis of the orbit is approximately 35.1 astronomical units.Find a polar equation for the orbit.How close does the comet come to the sun? ​

A) $\frac { 1.139 } { 1 - \cos \theta }$ Closest point to the sun is $\approx$ 0.579 astronomical unit.
B) $\frac { 1.139 } { 1 + 0.967 \sin \theta }$ Closest point to the sun is $\approx$ 0.579 astronomical unit.
C) $\frac { 1.139 } { 1 + 1.967 \cos \theta }$ Closest point to the sun is $\approx$ 0.579 astronomical unit.
D) $\frac { 1.139 } { 1 - 1.967 \sin \theta }$ Closest point to the sun is $\approx$ 0.579 astronomical unit.
E) $\frac{0.967}{ 1 + 1.139 \sin \theta }$ Closest point to the sun is $\approx$ 0.579 astronomical unit.

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