Orbital Periods of Planets vs Comets

[ver_mathstats]

Homework Statement

Uranus has an orbit of 19AU and the maximum radius for a comet's orbit is 19AU, so why are the periods different?

Relevant Equations

Uranus orbits 19AU and the comet orbits 19AU

Could someone please tell me if I'm on the right track with understanding this.

The periods of the comet and Uranus is different because of Kepler's second law? Is it because planets orbit the sun in a circular path whereas for comets it's a highly elliptical orbit?

Thank you.

 

[Kyouran]

You may want to think about this:
- Which of Kepler's laws is about the orbital period?
- Does this law say anything about the eccentricity of the orbit?

Finally, I think you may be confusing "maximum radius" (aphelion) with semi major axis.