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Solve the Problem r=a(1e2)1+ecosθ\mathrm { r } = \frac { \mathrm { a } \left( 1 - \mathrm { e } ^ { 2 } \right) } { 1 + \mathrm { e } \cos \theta }

Question 122

Multiple Choice

Solve the problem.
-Given that the polar equation r=a(1e2) 1+ecosθ\mathrm { r } = \frac { \mathrm { a } \left( 1 - \mathrm { e } ^ { 2 } \right) } { 1 + \mathrm { e } \cos \theta } models the orbits of the planets about the sun, estimate the closest approach of a planet for which a=39\mathrm { a } = 39 and e=0.78\mathrm { e } = 0.78 to the sun.


A) 9 astronomical units
B) 15 astronomical units
C) 4 astronomical units
D) 69 astronomical units

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