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

Solve the problem.
-Given that the polar equation $\mathrm { r } = \frac { \mathrm { a } \left( 1 - \mathrm { e } ^ { 2 } \right) } { 1 + \mathrm { e } \cos \theta }$ models the orbits of the planets, estimate the smallest possible distance between Earth, for which $\mathrm { a } = 1.00$ and $\mathrm { e } = 0.017$ , and Venus, for which $\mathrm { a } = 0.78$ and $\mathrm { e } = 0.007$ .

A) Zero astronomical units
B) About $0.2$ astronomical units
C) About $0.4$ astronomical units
D) About 2 astronomical units

Correct Answer:

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