This question is vague and incomplete. So for the answer, both Asteroid and Comet orbit the sun.
ADDITIONAL INFORMATION
Asteroids have their own orbit around the sun called Asteroid belt, while comets' orbit around the sun is immensely huge and wide hence the longer period of orbital -- usually ranges from 200 years to 1000 years (like Comet Brádfield).
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ORBIT
This question is vague and incomplete. So for the answer, both Asteroid and Comet orbit the sun.
ADDITIONAL INFORMATION
Asteroids have their own orbit around the sun called Asteroid belt, while comets' orbit around the sun is immensely huge and wide hence the longer period of orbital -- usually ranges from 200 years to 1000 years (like Comet Brádfield).
#CarryOnLearning