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Topic: Misner, Thorne and Wheeler, Exercise 8.5 (c)
Replies: 38   Last Post: Apr 13, 2013 11:57 PM

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 Dirk Van de moortel Posts: 157 Registered: 12/6/11
Re: Misner, Thorne and Wheeler, Exercise 8.5 (c)
Posted: Apr 9, 2013 2:57 AM

"Hetware" <hattons@speakyeasy.net> schreef in bericht news:Duidna9WrZBIBv7MnZ2dnUVZ_rydnZ2d@megapath.net...
> On 4/8/2013 9:27 AM, Dirk Van de moortel wrote:
>> Hetware <hattons@speakyeasy.net> wrote:
>>> This is the geodesic equation under discussion:
>>>
>>> d^2(r)/dt^2 = r(dp/dt)^2
>>>
>>> d^2(p)/dt^2 = -(2/r)(dp/dt)(dr/dt).
>>>
>>> r is radius in polar coordinates, p is the angle, and t is a path
>>> parameter.
>>> The authors ask me to "[S]olve the geodesic equation for r(t) and
>>> p(t), and show that the solution is a uniformly parametrized straight
>>> line(x===r cos(p) = at+p for some a and b; y===r sin(p) = jt+k for
>>> some j and k).

>>
>> Normally we'd write dotted variables, but with quotes it's easier.
>> So write

>
> Like this?
>
> <math xmlns='http://www.w3.org/1998/Math/MathML'

[snip]

This is a text group :-)

Dirk Vdm