Calculate the period T of a planet whose orbit has a semimajor axis of 33AU

A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 102 million kilometers. Its orbital eccentricity is 0.4. Find the planet's nearest and farthest orbital distances from its star. Express your answers in millions of kilometers to three significant figures separated by a comma.

Calculate the length R of the semimajor axis of a planet whose period is 226 days.

A science fiction author is writing a book where an artificial planet is constructed in our Solar System at a distance that is 3 times farther from the Sun (s - 3.00 AU) than Earth is. Knowing that Earth is 1.00 AU from the Sun and has a period of 1.00 years, how many years would it take for hypothetical Planet Pterodactyl to make one orbit around the Sun?

34.  A geosynchronous satellite appears to “hover” stationary directly above a particular point on the Earth’s equator.  In order to achieve this the period of the orbit must match the sidereal period of Earth’s rotation, which is 23 hours 56 minutes.  Solve for the altitude and speed of such a satellite. (Can only use Newton's 3 laws of motion and the law of gravity where Fg=G(M1M2)/r^2 and g=GM/r^2. You can also use the uniform circular motion formulas for speed and acceleration.)

Pretend the moons orbit around the earth is a perfect circle. How long does it take in unit of days for the moon to move 90 degrees relative to the stars?

Galileo is often credited with the early discovery of four of Jupiters many moons.The moons orbiting Jupiter follow te same laws of motion as the planets orbiting the sun.One of the moons is called Io - its distance from Jupiter's center is 4.2 units and it orbits Jupiter in 1.8 Earth-days.Another moon is caled Ganymede;it is 10.7 units from Jupiters center. Make a prediction of the period of Ganymede using Keplers law of periods.​

The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of R1b=1.6456x10^6km. Another planet in the system has an orbital radius of R1f=5.5352x10^6 km. Calculate its orbital period in days.

The planet Saturn orbits the Sun at an average distance of 888 million miles. Use Kepler’s 3rd law to find the period of Saturn’s orbit, in Earth years.

Eros has an elliptical orbit about the Sun, with a perihelion distance of 1.13 AU and aphelion distance of 1.78 AU. What is the period of its orbit?