Re: meridians as geodesics


Sue Dorothy Dorothy Dorothy wrote:
> Mahmoud In My Dinner Jacket wrote:
> > Sue... wrote:
> > > Mahmoud In My Dinner Jacket wrote:
> > > > Sue... wrote:
> > > > > Igor Lukacevic wrote:
> > > > > > Hullo everyone!
> > > > > >
> > > > > > I am new to this newsgroup, and to the subject. I have an exercise to
> > > > > > solve, I'm sure it's a simple one, but I just cannot get it right.
> > > > > >
> > > > > > I have to prove that meridians on the surface of Earth are geodesics using
> > > > > > the definition of geodesics:
> > > > > >
> > > > > > d^2x^i i dx^j dx^k
> > > > > > -------- + { }*-----*------ = 0
> > > > > > ds^2 j k ds ds
> > > > > >
> > > > > > I have succeded at proving that parallels are not, but meridians are
> > > > > > giving me trouble. I have calculated Crist. symbols for i,j,k=1,2.
> > > > > >
> > > > > > Please, if anyone could help, I would be most gratefull
> > > > > >
> > > > > > I. Lukacevic
> > > > > If the application is field theory, as opposed to ship navigation, it
> > > > > might be helpful to look at what we are trying to represent.
> > > > > http://web.mit.edu/8.02t/www/802TEAL3D/visualizations/electrostatics/thumbnails/vdg_Attract_100.jpg
> > > > > From:
> > > > > http://web.mit.edu/8.02t/www/802TEAL3D/visualizations/electrostatics/index.htm
> > > >
> > > > I understand the point of these, since the Earth's magnetic field
> > > > follows the curvature of its surface.
> > > >
> > > > But why have you included this ...?
> > > That gives the question some standing in this NG.
> > > <<
> > > Physics \Phys"ics\, n. [See Physic.]
> > > The science of nature, or of natural objects; that branch of
> > > science which treats of the laws and properties of matter,
> > > and the forces acting upon it; especially, that department of
> > > natural science which treats of the causes (as gravitation,
> > > heat, light, magnetism, electricity, etc.) that modify the
> > > general properties of bodies; natural philosophy.
> > > >>
> > > http://dict.die.net/physics/
> > >
> > > Sue...
> >
> > No kidding! How long have they been at this physics lark, then?
> I suppose ever since someone conjectured if space and time can
> be interchangeable under limited conditions for moving objects
> might they be interchangeable under more general terms(?)

don't quote me on this, but I've a sneaking suspicion physics was
around before relativity.

Judge: "Have you ever been up before me?"
Defendent: "I don't know, me Lud. What time do you get up?"

> Sue...

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