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The Comet Borrelly Has an Elliptical Orbit with an Eccentricity e≈0.624e \approx 0.624

Question 39

Multiple Choice

The Comet Borrelly has an elliptical orbit with an eccentricity of ​ e≈0.624e \approx 0.624 .The length of the major axis of the orbit is approximately 5.83 astronomical units.Find a polar equation for the orbit.How close does the comet come to the sun? ​


A) 1.7801−1.624sin⁡θ\frac { 1.780 } { 1 - 1.624 \sin \theta } Closest point to the sun is ≈\approx 1.096 astronomical unit.
B) 1.7801+cos⁡θ\frac { 1.780 } { 1 + \cos \theta } Closest point to the sun is ≈\approx 1.096 astronomical unit.
C) 0.6241+1.780sin⁡θ\frac { 0.624 } { 1 + 1.780 \sin \theta } Closest point to the sun is ≈\approx 1.096 astronomical unit.
D) 1.7801+0.624sin⁡θ\frac { 1.780 } { 1 + 0.624 \sin \theta } Closest point to the sun is ≈\approx 1.096 astronomical unit.
E) 1.7801−1.624cos⁡θ\frac {1.780}{ 1 - 1.624 \cos \theta } Closest point to the sun is ≈\approx 1.096 astronomical unit.

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