(Solved): A comet has a period of \( 76.8 \) years and moves in an elliptical orbit in which its perihelion ( ...

A comet has a period of \( 76.8 \) years and moves in an elliptical orbit in which its perihelion (closest approach to the Sun) is \( 0.550 \mathrm{AU} \). Find the semimajor axis of the comet and an estimate of the comet's maximum distance from the Sun, both in astronomical units. (a) the semimajor axis of the comet (in \( \mathrm{AU} \) ) \( \mathrm{AU} \) (b) an estimate of the comet's maximum distance (in \( \mathrm{AU} \) ) from the Sun AU