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WalterSchrabmai12-Amethyst
12-Amethyst
February 26, 2019
Solved

Calculate the Theat for a invers quartic potential

  • February 26, 2019
  • 13 replies
  • 4804 views

HI friends,

I am looking to get the solution for a Tetha for a quatrics potential from these equations:

(Reference: Classical Mechanics by Herbert Goldstein 1980 2nd ed.)

I have a potential  

 

V(r) = const / r^4.

 

Can anyone here help me with a MathCAD 15 Sheet, how to do it?

Thanks

Walter

 

 

Goldstein_1.jpgGoldstein_2.jpg

Best answer by LucMeekes

It's not completely impossible:

LM_20190226_Theta0.png

But then there is WolframAlpha:

LM_20190226_Theta1.png

Now the biggest hurdle may be to have Mathcad calculate the function F, the elliptic integral of the first kind...

 

Success!
Luc

13 replies

T
terryhendicott21-Topaz II
21-Topaz II
February 26, 2019

Hi,

 

Enclosed are functions.  Is this what you want?

 

Cheers

Terry

W
WalterSchrabmai12-AmethystAuthor
12-Amethyst
February 26, 2019

Thanks a lot, but I need a symbolically solution for that.

I can not do it.

What Could I do?

best

 

L
LucMeekes23-Emerald IVAnswer
23-Emerald IV
February 26, 2019

It's not completely impossible:

LM_20190226_Theta0.png

But then there is WolframAlpha:

LM_20190226_Theta1.png

Now the biggest hurdle may be to have Mathcad calculate the function F, the elliptic integral of the first kind...

 

Success!
Luc

    W
    WalterSchrabmai12-AmethystAuthor
    12-Amethyst
    February 27, 2019
    Great! Thanks a lot!
    Best regards
    Walter
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