How to integrate this function?

  • #1

Main Question or Discussion Point

Hello
I am studying Landau Mechanics (3rd ed.)

In chapter III Integration of the Equations of Motions
§15. Kepler's problem
page 36
Howtointegrateit.png

M(angular momentum), m(mass), E(mechanical energy), and α are constant.

How to integrate it?
Please help me...
 

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  • #2
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If you’re just trying to verify that’s it’s true then differentiate the integrated side to prove to yourself.

To integrate it though, I would use integral tables and look up a similar one. There is no shame in using this approach as there are many integrals that vex even the best folks.

A cheap book with integral tables is Schaums outlines on Math Tables and Formulas. It’s available on Amazon and is a great reference to keep around.
 
  • #3
berkeman
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I SOLVED IT
HOW CAN I DELETE THIS ARTICLE?
Welcome to the PF. We do not delete questions that have useful responses.
 
  • #4
11,519
5,066
You could share your solution here as this thread will get indexed on Google and other search engines benefitting others studying Landau.
 
Last edited:
  • #5
berkeman
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Welcome to the PF. We do not delete questions that have useful responses.
Original post restored in post #1.
 

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