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

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SUMMARY

The discussion centers on the comparison of methods used in solving problems related to gravitation and orbital mechanics. The user, JaDi13, finds discrepancies between their answers using known orbital equations and the solutions provided in their textbook, which align more closely with the conservation of mechanical energy approach. Chegg's solution guide also favors this latter method. The conversation highlights the importance of understanding different methodologies in physics problem-solving.

PREREQUISITES
  • Understanding of gravitational forces and orbital mechanics
  • Familiarity with conservation of mechanical energy principles
  • Knowledge of numerical integration techniques
  • Experience with solving physics problems using different methodologies
NEXT STEPS
  • Research the principles of conservation of mechanical energy in orbital mechanics
  • Study numerical integration methods for solving physics problems
  • Explore various orbital equations and their applications
  • Examine example problems that utilize both methods for comparison
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Students studying physics, educators teaching gravitation and orbital mechanics, and anyone interested in understanding different problem-solving approaches in physics.

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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