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Given That the Polar Equation R Models the Orbits of the Planets

Question 222

Multiple Choice

Given that the polar equation r models the orbits of the planets about the sun,
- r=a(1e2) 1+ecosθr = \frac { a \left( 1 - e ^ { 2 } \right) } { 1 + e \cos \theta } estimate the closest possible approach of a planet for which a = 14 and e = 0.4 to a planet for which a = 38 and e = 0.008.


A) 29 astronomical units
B) 58 astronomical units
C) 0 astronomical units
D) 19 astronomical units

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