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In this lesson, we will learn how to use Kepler's first, second, and third laws of planetary motion to determine the dynamics of elliptical orbits.

Q1:

The asteroid 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?

Q2:

A geosynchronous Earth satellite is one that has an orbital period of precisely one Earth day. A satellite in a geosynchronous orbit remains directly above a particular point on Earth’s surface throughout its orbit. What is the orbital radius of such a satellite if a day is considered as 8 6 4 × 1 0 3 s? Take the radius of Earth to be 6 370 km.

Q3:

If a planet with a mass that is 3.50 times that of Earth was orbiting the Sun at the same orbital radius at which Earth orbits the Sun, what would the planet’s orbital period be?

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