Question

a planet travels in its orbit close to apogee, and in 2 years, its radius vector sweeps out an area of 3 a. how long will it take the planets radius vector to sweep an area of 3 a when it is close to perigee? (1 point) the same amount of time a smaller time because the planets orbital speed will decrease a larger time because the planets orbital speed will increase a smaller time because the planets orbital speed will increase

Explanation:

Kepler's second law states that a planet's radius vector sweeps out equal areas in equal times. So, regardless of whether the planet is at apogee or perigee, if the area swept is the same (\(3A\)), the time taken should be the same.

Answer:

the same amount of time