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Orbits CP

Last updated over 1 year ago

3 questions

G = 6.73 x 10-11 m3/kg s2

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Question 1

1.

A satellite is placed in orbit 6.00 × 105 m above the surface of Jupiter. Jupiter has a mass of 1.90 × 1027 kg and a radius of 7.14 × 107 m. Find the orbital speed of the satellite.

Question 2

2.

Kepler's 1st law states the sum of the distances between each foci and any point on the ellipse is constant.

At its closest approach, a moon comes within 200,000 km of the planet it orbits. At that point, the moon is 300,000 km from the other focus of its orbit, f 2. The planet is focus f 1 of the moon’s elliptical orbit. How far is the moon from the planet when it is 260,000 km from f 2?

Question 3

3.

Kepler's 3rd law states the square of the orbital period is proportional to the cube of the radius of the orbit.
a3=kT2 where k is a constant for a body that is being orbited
So if two bodies orbiting the same larger body: a13/T12 = a23/T2

Titan, the largest moon of Saturn, has a mean orbital radius of 1.22x109 m. The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 1.48x109 m. Use Kepler’s third law of planetary motion to predict the orbital period of Hyperion in days.