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

In summary, the conversation discusses the need for a graph that shows the relationship between radius and potential energy for all orbits, including bound and unbound orbits. The desired graph should be visually appealing and contain information such as the location of each orbit, the corresponding energies, and any other significant facts or analysis. The speaker suggests creating the graph oneself using knowledge of Newton and Kepler and a graphing program.
  • #1
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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  • #2
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! :-)
 

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

What is the Graph of G Potential vs. Radius?

The Graph of G Potential vs. Radius is a visual representation of the relationship between the gravitational potential (G) and the distance from the center of an object (radius). It shows how the gravitational potential changes as the distance from the center of the object increases or decreases.

How is the Graph of G Potential vs. Radius useful in science?

The Graph of G Potential vs. Radius is useful in science because it helps us understand the strength and behavior of gravitational forces. It allows us to analyze and predict the movement of objects and their orbits around a central body.

What factors affect the shape of the Graph of G Potential vs. Radius?

The shape of the Graph of G Potential vs. Radius is affected by the mass and distance of the objects involved. The more massive the objects are, the steeper the curve will be. The farther apart the objects are, the flatter the curve will be.

How does the Graph of G Potential vs. Radius relate to Newton's Law of Universal Gravitation?

The Graph of G Potential vs. Radius is based on Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is directly proportional to their masses and inversely proportional to the square of the distance between them. The graph visually represents this relationship, with the potential energy increasing as the distance decreases.

Can the Graph of G Potential vs. Radius be used for non-circular orbits?

Yes, the Graph of G Potential vs. Radius can be used for non-circular orbits. It can still show the changing gravitational potential as the distance changes, but the shape of the graph may differ depending on the shape of the orbit.

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