For what value of eccentricity, e, would the semi-major axis be the same as the Aphelion distance? - 0 - 0.25 - 0.5 - 0.75

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.​

Leave the moon’s amplitude (semi-major axis) constant. How does changing the moon’s orbital period change the calculated value for the planet’s mass?

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.

The radius of the Earth's orbit is 1.50 x 1011 m and that of Neptune is 4.52 x 1012 m. The star that this planet orbits is identical to our Sun. What is the orbital period of this planet? 2.2 years eBook

You land on Mars and observe that one of its moons (Phobos) has an orbital period of 7.66 hours. If the Phobos were farther from Mars than it is now, it’s period would be a) less than 7.66 hrs.           b) about 7.66 hrs.           c) more than 7.66 hrs.    d) difficult to predict without more information.

Given the orbital radius and period of a moon, derive an algebraic solution for the mass of the planet that moon orbits. Watch those units, convert to SI.

A synchronous satellite, which always remains above the same point on a planet's equator, is put in circular orbit around Mars so that scientists can study a surface feature. Mars rotates once every 24.6 h. Use the data of this table to find the altitude of the satellite. ___Km