What is the relationship between an asteroid's orbital period and its distance from the sun, as described by Kepler's third law?

Answer 1

Well honey, Kepler's third law tells us that the square of a planet's orbital period is proportional to the cube of its average distance from the sun. In simpler terms, the farther an asteroid is from the sun, the longer it takes to complete its trip around it. Easy peasy lemon squeezy.

Answer 2

Kepler's third law states that the square of an asteroid's orbital period is directly proportional to the cube of its average distance from the sun. This means that as the distance from the sun increases, the orbital period of the asteroid also increases.

Answer 3

Oh, that's a wonderful question! You see, Kepler's third law tells us that an asteroid's orbital period, or how long it takes to complete one orbit around the sun, is related to its distance from the sun. The farther an asteroid is from the sun, the longer it takes to complete its orbit. It's all about harmony and balance in the cosmic dance of the solar system. Isn't that just delightful to think about?

Answer 4

Oh, dude, it's like this: Kepler's third law of planetary motion states that the square of an asteroid's orbital period is directly proportional to the cube of its average distance from the sun. So, the farther an asteroid is from the sun, the longer it takes to complete one orbit. It's basically a fancy way of saying the bigger the loop-de-loop, the slower the ride, man.

Answer 5

Kepler's third law states that the square of the orbital period of a planet (or asteroid) is directly proportional to the cube of its semi-major axis (average distance from the sun) in an elliptical orbit. Mathematically, this relationship can be expressed as:

T^2 = k * a^3

Where: T = Orbital period of the asteroid a = Semi-major axis of the asteroid's orbit k = Constant of proportionality (which is the same for all objects orbiting the same central body, such as the sun)

This means that as the distance of an asteroid from the sun (semi-major axis) increases, its orbital period squared will increase even more rapidly (cubed) according to this law. In other words, asteroids that are farther away from the sun will have longer orbital periods compared to asteroids that are closer in. This relationship is a fundamental aspect of the motion of celestial bodies in our solar system.