Ch 06: Centripetal Forces & GravitationSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Satellite Motion

See all sections
Sections
Uniform Circular Motion
Centripetal Forces
Universal Law of Gravitation
Gravitational Forces in 2D
Acceleration Due to Gravity
Satellite Motion

Concept #1: Satellite Motion & Circular Orbit

Concept #2: Circular Orbit Problems (Practice Intro)

Practice: (a) How fast would you have to throw an object, horizontally from the ground, for it to become a low-orbit satellite around the Earth?
(b) What orbital period (in hours) would it have?

Example #1: Circular Orbit Problems

Practice: A satellite in circular orbit takes 30 hours to go around the Earth. Calculate its height above the Earth.

Example #2: Circular Orbit Problems

Additional Problems
Two satellites, one in geosynchronous orbit (T = 24 hrs) and one with a period of 12 hrs, are orbiting Earth. How many times larger than the radius of Earth is the distance between the orbits of the two satellites. MEarth = 5.98 × 1024 kg, G = 6.67 × 10–11 N·m2, g = 9.81 m/s2, REarth = 6.38 × 106 m A. 0.51 B. 2.5 C. 6.6 D. 5.7 E. none of the above.
What is the distance between the Sun and the Earth? Note the mass of the sun is 1.99 x 1030 kg.
The international space station is in orbit about 400 km above the surface of the Earth. For astronauts to appear to be weightless on the ISS, what must the speed of the space station be? Note that the radius of the Earth is 6371 km and the mass is 5.97 x 1024 kg.
A satellite is in a geosynchronous orbit around the Earth, meaning that it always appears above one spot on the Earth as the Earth rotates. What would the altitude of this satellite's orbit need to be? Note that the mass of the Earth is 5.97 x 1024 kg and the radius of the Earth is 6,371 km.
How fast would a pitcher have to throw a 145 g baseball on the moon to put it in orbit just above the surface of the moon? Note that the mass of the moon is 7.34 x 1022 kg and the radius is 1.74 x 103 km. 
Planet X has radius 4.00 x 106 m and mass 5.00 x 1024 kg. A satellite is in a circular orbit around planet X. If the speed of the satellite is 5400 m/s, how much time does it take the satellite to complete one orbit?
Your spaceship is in a circular orbit around planet X. The radius of the orbit is 9.00 x 106 m and the speed of the spaceship in its orbit is 2800 m/s. The radius of the planet is 4.00 x 106 m. What is the mass of planet X?
You are a member of a group of scientists who travel to planet Bubba, a planet that orbits a bright star in our southern sky with a mass of 5.62 x 1023 kg. The radius of the planet is Rb = 5.0 x 106 m. A satellite is in a circular orbit around planet Bubba. In its orbit the satellite is a distance of 9.00 x 106 m above the surface of the planet. What is the speed of the satellite?