An asteroid approaches Jupiter and is slung around into a new trajectory across the solar system. Which of the following are possible? Select the three correct answers

The asteroid continues out of the solar system. The asteroid continues out of the solar system. The asteroid falls into an irregular orbit around Jupiter. The asteroid falls into an irregular orbit around Jupiter. The asteroid spirals into the sun. The asteroid spirals into the sun. The asteroid slows down as it passes around Jupiter. The asteroid slows down as it passes around Jupiter. The asteroid adopts an unusual orbit around the sun, such as an egg shape. The asteroid adopts an unusual orbit around the sun, such as an egg shape. The asteroid enters a stable elliptical orbit around the sun.

The three correct answers are:

1. The asteroid continues out of the solar system.
2. The asteroid falls into an irregular orbit around Jupiter.
3. The asteroid enters a stable elliptical orbit around the sun.

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

Distance has no effect on orbital velocity. Distance has no effect on orbital velocity. The greater the distance, the slower the orbital velocity. The greater the distance, the slower the orbital velocity. The greater the distance, the greater the orbital velocity. The greater the distance, the greater the orbital velocity. As distance is cut in half, orbital velocity decreases.

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

A line between a planet and the sun sweeps out two equal areas at different places as it moves along its orbit. Which factor remains constant as this happens?

the time required to sweep out the areas the time required to sweep out the areas the distance from the sun to the planet while it sweeps out the areas the distance from the sun to the planet while it sweeps out the areas the planet’s speed as it sweeps out the areas the planet’s speed as it sweeps out the areas the distance the planet moves along its orbit while it sweeps out the area

The correct answer is: the planet's speed as it sweeps out the areas.

Which form of Kepler’s third law can you use to relate the period T and radius r of a planet in our solar system as long as the unit year is used for the period and astronomical unit is used for the radius?

The form of Kepler's third law that can be used to relate the period T (in years) and radius r (in astronomical units) is:

T^2 = r^3

In 3–5 sentences, explain how the shape of planetary orbits affects their orbital velocity. Include the proper law of planetary motion as part of your answer.

According to Kepler's second law of planetary motion, the line connecting a planet to the sun sweeps out equal areas in equal time intervals. This means that when a planet is closer to the sun in its orbit, it moves faster, while it moves slower when it is farther away. This is because the shape of planetary orbits is elliptical, not perfect circles. As the distance from the sun changes along the elliptical orbit, the gravitational force exerted by the sun varies. This results in a varying orbital velocity as the planet moves through different parts of its orbit.

What shape is the moon's orbit around Earth?

a circle a circle an ellipse that is almost circular an ellipse that is almost circular a spiral a spiral an ellipse that is elongated