Where Can I Find a Detailed Graph of Potential vs. Radius for All Orbits?

AI Thread Summary
A detailed graph of radius versus potential and total energy for all orbits, including both bound and unbound orbits, is sought after for its informative nature. The request emphasizes the need for clarity in distinguishing between different types of orbits and energy curves. While some textbooks provide this information, they lack aesthetic appeal. A suggestion is made to create a custom graph using knowledge of Newtonian physics and Kepler's laws, along with graphing software. This approach allows for a personalized and visually engaging representation of the data.
Machinus
I am looking for a good graph of the curve of radius vs. potential (and total) energy for all orbits, both bound and unbound. Basically I want one that is neat and has a lot of information on it, like where each orbit occurs (all 4), which curves are which energies, and possibly some analysis or signficant other facts about the graphs. I have found this curve in a few textbooks but nothing really pretty.
 
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Why don't you make one for yourself? With a little knowledge of Newton and Kepler and a decent graphing program you can dazzle your audience and take pride in your own creation! :-)
 

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