Based on Kepler's observations about planetary motion, what is the relationship between a planet's orbital velocity and its distance from the sun?(1 point)

The greater the distance, the greater the orbital velocity.***

As distance is cut in half, orbital velocity decreases.

The greater the distance, the slower the orbital velocity.

Distance has no effect on orbital velocity.

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Yes?

Well, Newton may not have been the funniest guy, but he could definitely help us with this question. According to Kepler's observations and Newton's laws of motion, the greater the distance of a planet from the sun, the slower its orbital velocity. So, the answer is actually "The greater the distance, the slower the orbital velocity." Sorry if that burst your speed bubble!

Kepler's observations about planetary motion led to the formulation of his three laws. The second law, also known as the law of equal areas, states that a line connecting a planet to the sun sweeps out equal areas in equal time intervals. This law implies that a planet moves faster when it is closer to the sun and slower when it is farther away.

To understand the relationship between a planet's orbital velocity and its distance from the sun, we can look at Kepler's second law and the concept of conservation of angular momentum. Angular momentum is a measure of how fast an object is spinning or rotating around a point, in this case, the sun. According to the conservation of angular momentum, the total angular momentum of a planet remains constant throughout its orbit.

When a planet is closer to the sun, it needs to move faster in its orbit to cover the same amount of area in a given time because the distance traveled is shorter. Similarly, when a planet is farther away from the sun, it needs to move slower to cover the same amount of area in the same given time because the distance traveled is longer.

Therefore, the correct answer is: The greater the distance, the slower the orbital velocity.

distance and orbital velocity are inversely related

the area of the orbital ellipse swept by a planet is a constant

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