3. a satellite is in orbit around some mystery planet. you observe that it takes 3 earth days, or (86,400*3) seconds for this satellite to orbit the mystery planet. a) if the object is located at 7 x 105 meters from this planet, determine the mass of the planet.

3 x 10^18 kg

Explanation:

Time period, T = 3 days = 86400 x 3 = 259200 seconds

r = 7 x 10^5 m

Let M be the mass of planet

Use the formula of time period of satellite

Where, G be the universal gravitational constant.

By substituting the values

M = 3 x 10^18 kg

Thus , the mass of planet is 3 x 10^18 kg.

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.