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meridians as geodesics



 
 
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  #11  
Old November 19th 05 posted to sci.physics.relativity
Sue...
external usenet poster
 
Posts: 9,304
Default meridians as geodesics


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/802TEAL...ttract_100.jpg
From:
http://web.mit.edu/8.02t/www/802TEAL...tics/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(?)

AFAIK some deeper insight to the relationship of mass, time,
energy and momentum is the result. Whether a clock should
respond to motion or not, is academic. You should return it
to the 'big box mart' where you got it because it cost them
nothing to replace it with slave labor. ;-)
http://walmar****ch.com/blog/archives/big_box_mart/
http://www.jibjab.com/Movies/BoxMart.aspx

Sue...

Ads
  #12  
Old November 21st 05 posted to sci.physics.relativity
Mahmoud In My Dinner Jacket
external usenet poster
 
Posts: 450
Default 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/802TEAL...ttract_100.jpg
From:
http://web.mit.edu/8.02t/www/802TEAL...tics/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...


  #13  
Old November 21st 05 posted to sci.physics.relativity
Sue...
external usenet poster
 
Posts: 9,304
Default meridians as geodesics


Mahmoud In My Dinner Jacket wrote:
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/802TEAL...ttract_100.jpg
From:
http://web.mit.edu/8.02t/www/802TEAL...tics/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.

It is probably obsolete by now. Why don't we get rid of it?

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


LOL

"I was proud the other day when both Republicans and
Democrats stood with me in the Rose Garden to announce
their support for a clear statement of purpose: you disarm,
or we will." Oct. 5, 2002

)
Sue...


Sue...


 




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