[Phys-L] Re: Help on a problem from Goldstein

[Bernard Cleyet <anngeorg@PACBELL.NET>]

Oh good that's the ed. I can't find. Cost < $10.

My first thought was somewhere I'd heard one could expand and use the
first and second? terms.  Thereby, adding a cubic term to the force.
(quad potential, naturellement).  Some theorem, I think, that only the
linear and quad central force result in no precession.  That's why some
early on suggested gravity was not exactly inverse square.

bc, still searching his shelves.




RAUBER, JOEL wrote:

> Leigh,
>
> You're showing your age, that is the problem in the first edition.   It
> is now problem 26 in chapter 7.
>
> ________________________
> Joel Rauber
> Department of Physics - SDSU
>
> Joel.Rauber@sdstate.edu
> 605-688-4293
>
>
>
> | -----Original Message-----
> | From: Forum for Physics Educators
> | [mailto:PHYS-L@list1.ucc.nau.edu] On Behalf Of Leigh Palmer
> | Sent: Tuesday, April 12, 2005 11:08 AM
> | To: PHYS-L@LISTS.NAU.EDU
> | Subject: Help on a problem from Goldstein
> |
> |
> | Problem 13 from Chapter 6 of Goldstein's "Classical Mechanics" reads:
> |
> |     Show that the relativistic motion of a particle in an attractive
> |     inverse square law of force is a precessing ellipse. Compute the
> |     precession of the perihelion of Mercury resulting from this
> |     effect. ( The answer, about 7" per century, is much smaller than
> |     the actual precession of 40" per century which can be accounted
> |     for correctly only by general relativity.)
> |
> | Can someone kickstart my brain with a hint as to what
> | approach I should consider to solve this problem?
> |
> | Thanks,
> |
> | Leigh
> |
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