According to Kepler’s second law of motion, which statement describes the area swept out by a line between a planet and the sun?(1 point)
Responses
It increases as the planet approaches the sun.
It increases as the planet approaches the sun.
It is constant if the planet moves at a constant speed.
It is constant if the planet moves at a constant speed.
It increases as the planet moves away from the sun.
It increases as the planet moves away from the sun.
It is constant for equal times.
It is constant for equal times.
How did Kepler develop his second law of motion?(1 point)
Responses
He compared data of planetary motion at different times along orbits.
He compared data of planetary motion at different times along orbits.
He made accurate measurements of the positions of all the planets over many years.
He made accurate measurements of the positions of all the planets over many years.
He invented a telescope that was strong enough to view all planets of the solar system along their orbits.
He invented a telescope that was strong enough to view all planets of the solar system along their orbits.
He used a telescope to carefully follow and time the orbital motion of Mars.
Which does Kepler’s second law state about planetary motion?(1 point)
Responses
Planets move at the same speed at all points along their orbit.
Planets move at the same speed at all points along their orbit.
A line between the planet and the sun covers equal areas in equal times.
A line between the planet and the sun covers equal areas in equal times.
The square of the orbital period is directly proportional to the cube of the semi-major axis.
The square of the orbital period is directly proportional to the cube of the semi-major axis.
The planet travels along an elliptical orbit.
A line between the planet and the sun covers equal areas in equal times.
According to Kepler's second law of motion, the area swept out by a line between a planet and the sun is constant for equal times.
According to Kepler's second law of motion, the area swept out by the line connecting a planet to the sun is constant for equal time intervals. This means that regardless of the size or shape of the planet's orbit, if the planet takes the same amount of time to move through two different regions of its orbit, the area it sweeps out in those two regions will be the same.
To understand why this is the case, we need to consider the fact that planets in our solar system move in elliptical orbits around the sun. When a planet is closer to the sun, it travels faster, and when it is farther away, it travels slower. This phenomenon is described by Kepler's first law of motion.
As a result of the varying speed of the planet, the line connecting the planet to the sun sweeps out equal areas in equal time intervals. For example, if a planet takes 10 days to sweep out an area when it is close to the sun, it will also take 10 days to sweep out an equal area when it is farther away from the sun.
So, to answer the question, the correct statement according to Kepler's second law of motion is: "It is constant for equal times."