In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 x 1030 kg) at a distance of 1.50 x 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. The problem relates to some of these planets that follow circular orbits around other stars. Kepler-42c orbits at a very close 0.0058 au from a small star with a mass that is 0.13 that of the sun. How long is a “year” on this world?

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Chapter7: Rotational Motion And The Law Of Gravity
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Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77...
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In recent years, scientists have discovered hundreds of planets orbiting other stars. Some of these planets are in orbits that are similar to that of earth, which orbits the sun (Msun = 1.99 x 1030 kg) at a distance of 1.50 x 1011 m, called 1 astronomical unit (1 au). Others have extreme orbits that are much different from anything in our solar system. The problem relates to some of these planets that follow circular orbits around other stars.

Kepler-42c orbits at a very close 0.0058 au from a small star with a mass that is 0.13 that of the sun. How long is a “year” on this world?

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