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Ch 08: Centripetal Forces & GravitationWorksheetSee all chapters

# Satellite Motion: Speed & Period

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Sections
Uniform Circular Motion
Period and Frequency in Uniform Circular Motion
Centripetal Forces
Vertical Centripetal Forces
Flat Curves
Banked Curves
Newton's Law of Gravity
Gravitational Forces in 2D
Acceleration Due to Gravity
Satellite Motion: Intro
Satellite Motion: Speed & Period
Geosynchronous Orbits
Overview of Kepler's Laws
Kepler's First Law
Kepler's Third Law

Concept #1: Satellite Speed

Practice: Suppose that you used some geometry and kinematics to estimate that the Earth goes around the Sun with an orbital speed of approximately 30,000 m/s (60,000 mph), and that the Sun is approximately 150 million kilometers away from the Earth. Use this information to estimate the mass of the Sun.

Example #1: Find speed of second satellite, given speed of first

Practice: You throw a baseball horizontally while on the surface of a small, spherical asteroid of mass 7×1016 kg and diameter of 22km. What is the minimum speed so that it just barely goes around the asteroid without hitting anything?

Concept #2: Satellite Period

Practice: A satellite orbits at an orbital period of 2 hours around the Moon. What is the satellite’s orbital altitude?

Example #2: Find mass of planet, given moon speed and period

Practice: A distant planet orbits a star 3 times the mass of our Sun. This planet of mass 8×1026 kg feels a gravitational force of 2×1026 N. What is this planet’s orbital speed and how long does it take to orbit once?