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