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Kepler’s Laws of Planetary Motion: 1. A newly discovered exoplanetary system has a planet orbiting its...

Kepler’s Laws of Planetary Motion:

1. A newly discovered exoplanetary system has a planet orbiting its host star at 50 times the distance from the Earth to the sun. If the orbital period of the planet is 40 Earth years, what is the mass of the host star?

2. The mass of the Earth is approximately 6 × 1026 kg. If the moon takes 27 days to orbit the Earth, how far is the moon from the Earth?

3. A satellite is placed into geosynchronous orbit around the Earth (That means that it orbits once per day and thus stays above the same location over the Earth). Compute the distance from the Earth that the satellite is at.

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Answer #1

Using formula of time period, mass of host star can be calculated.

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