Question
Ina 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 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 star's gravitational variations at greater distances. Planet A has a more circular orbit compared to planet B, as its closer proximity to the star stabilizes its orbital path. Clear my selection
Answer
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Eloise
Master · Tutor for 5 years
Answer
Planet A moves faster than planet B because it is closer to the star, resulting in a shorter orbital period.
Explanation
In a planetary system, the speed of a planet in its orbit is determined by its distance from the star. According to Kepler's laws of planetary motion, specifically the third law, planets closer to the star move faster in their orbits compared to those farther away. This is because the gravitational force is stronger when the planet is closer to the star, resulting in a shorter orbital period. Therefore, Planet A, being closer to the star, will move faster than Planet B.