Gravitation & Orbital Mechanics: Is One Method More Correct Than the Other?

AI Thread Summary
The discussion centers on the differences between methods used to solve gravitation and orbital mechanics problems in a textbook. The original poster finds that their answers, derived from known orbital equations, differ slightly from the textbook solutions, which often utilize conservation of mechanical energy. Participants suggest providing specific problem examples and detailing the numerical methods used for better assistance. The conversation emphasizes the importance of clarity in problem-solving approaches to determine the most accurate method. Overall, the effectiveness of different methods in solving these problems is questioned.
JaDi13
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I have been going through problems in my textbook and have a question.
The chapter is on gravitation and orbital mechanics. When answering the problems I seem to head towards different methods than what the book prescribes. My answers, primarily using known orbital equations, are close, but not quite the answers the book has in the back. Using the solution guide from Chegg, I find that they often use the conservation of mechanical energy to find answers the book more readily agrees with.
Is one way more correct than the other?
thanks​
 
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Hi JaDi13. Welcome to PF!

It is rather difficult for us to understand what the problem is from what you have posted. If you could provide us with an example of a problem and show us your approach and the textbook solution we could probably help you.

AM
 
When you provide more details as @Andrew Mason asked, please include your numerical methods. For example, numerical integration.
 
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