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

question 122

Multiple Choice

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

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

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