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

question 150

Multiple Choice

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

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