Gravitational Field Experiment
Warning, the name changecoords has been redefined
Warning, the protected names norm and trace have been redefined and unprotected
Two body case.
Two Dimensional Gravitational Potential for three body problem.
Unit mass at (0,0) and (1,1). Mass 4 at (2,0).
After you execute this worksheet (including the with(plots) line above),
below will be the level curves of f for the values 2 and 10.
You can add other comma separated values for f between 2 and 10 to see more level sets.
What happens in between 2 and 10?
Are there values when the level sets change their shape?
If so can you find them? Accurately?
What happens to the level sets of the function g?