Planetary Motion

8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Circular orbits; elliptical orbits with exam problemple; escape velocity; general planetary motion; kinetic energy and momentum of twoparticle systems.
Conservation of energy and momentum of orbiting bodies; characteristics of circular, elliptical, hyperbolic, and parabolic orbits; Kepler's Laws, with example.
Angular Momentum of Orbits
Equations for angular momentum of orbiting bodies; connection of angular momentum and rotational energy to equation of orbit.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Kepler's Laws and Planetary Motion
Kepler's laws defined; description of Kepler two body problem; reduction of two body problem and solution of one body problem; energy diagram of circular, elliptic, parabolic, and hyperbolic orbits; equations for position, energy, and angular momentum of an orbiting body; properties of an ellipse; Kepler's equal area law defined; Kepler's law for period of orbit.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Circular Orbits
Motion of spacecraft in orbit around a planet.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
 Complete practice problem 1
Period of the Moon
Modeling the orbit of the moon and finding its period.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 15
 Check solution to practice problem 15
Planet Orbiting a Star
Motion of a planet orbiting a star through a cloud of dust.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 16
 Check solution to practice problem 16
Synchronous Satellite
Finding the radius of the orbit of a synchronous satellite that circles the earth.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 1
 Check solution to practice problem 1
Gravitational Potential and Kinetic Energy
Energy required to change a satellite's orbit from circular to elliptical.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete practice problem 1
 Check solution to practice problem 1
Conservation of Energy
Motion of a small mass launched from the surface of the earth.

8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
 Complete exam problem 11
 Check solution to exam problem 11
Elliptic Orbit
Motion of a satellite in an elliptical orbit around a planet.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete exam problem 5
 Check solution to exam problem 5
Planetary Orbits
Elliptical orbit of a comet around the sun.

8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
 Complete exam problem B5
 Check solution to exam problem B5
Elliptical Orbit
Speed and energy at apogee for elliptically orbiting satellite.

8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
 Complete exam problem 9
 Check solution to exam problem 9