Question

in a hypothetical planetary system, planet a is located 20 million kilometers from its star, and planet b is 60 million kilometers from the same star. using mathematical and computational thinking, which statement accurately describes their orbits? planet a moves faster than planet b because it is closer to the star, resulting in a shorter orbital period. planet a has a more circular orbit compared to planet b, as its closer proximity to the star stabilizes its orbital path. planet b moves faster than planet a because it is farther from the star, experiencing a greater gravitational pull. planet b has a more elliptical orbit compared to planet a, influenced by the stars gravitational variations at greater distances. clear my selection

Explanation:

According to Kepler's laws, planets closer to the star have shorter orbital periods and move faster. Planet A is closer to the star than planet B, so it moves faster and has a shorter orbital period. The shape of the orbit (circular or elliptical) is not directly determined by distance from the star in the way presented in other options, and a planet farther from the star experiences a weaker gravitational pull, not a greater one.

Answer:

Planet A moves faster than planet B because it is closer to the star, resulting in a shorter orbital period.