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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 357

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, estimate the closest approach of Pluto's orbit, for which a=39.4\mathrm { a } = 39.4 and e=0.249\mathrm { e } = 0.249 , to the sun.


A) About 50 astronomical units
B) About 74 astronomical units
C) About 39 astronomical units
D) About 30 astronomical units

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