| Topic: |
Science > Physics |
| User: |
"Narasimham G.L." |
| Date: |
24 Dec 2003 01:58:18 AM |
| Object: |
precession and space curvature |
Does precession angle (or its rate) of its inclined planetary orbit
determine curvature of space?
One would imagine from 3D euclidean space geometry of precessing
elliptic trajectories thus: The plane of ellipse itself is rotated
through an axis which is passing through ellipse center but making an
angle alpha to its major axis 2a and perpendicular to minor axis 2b.
The resulting motion takes place on an ellipsoid,cylinder or one sheet
hyperboloid according as Sin[alpha] is less, equal to, or greater than
b/a. Could not the space curvature be termed elliptic,hyperbolic etc.?
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| User: "Sam Wormley" |
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| Title: Re: precession and space curvature |
24 Dec 2003 08:50:06 AM |
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"Narasimham G.L." wrote:
Does precession angle (or its rate) of its inclined planetary orbit
determine curvature of space?
Local curviture is determined by the local mass-energy
See: http://hermes.physics.adelaide.edu.au/~dkoks/Faq/
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| User: "Rick Sobie" |
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| Title: Re: precession and space curvature |
24 Dec 2003 07:19:38 AM |
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In article <676dc11a.0312232358.62092c39@posting.google.com>, says...
Does precession angle (or its rate) of its inclined planetary orbit
determine curvature of space?
One would imagine from 3D euclidean space geometry of precessing
elliptic trajectories thus: The plane of ellipse itself is rotated
through an axis which is passing through ellipse center but making an
angle alpha to its major axis 2a and perpendicular to minor axis 2b.
The resulting motion takes place on an ellipsoid,cylinder or one sheet
hyperboloid according as Sin[alpha] is less, equal to, or greater than
b/a. Could not the space curvature be termed elliptic,hyperbolic etc.?
I know what you are saying, but spacetime actually is curved.
It is very difficult to visualize.
Try and imagine, a series of balloons, with vinegar and sodium
in them, which is causing them to expand.
Now place these in a lubricating fluid so they don't have much
friction. They will spin as they expand. They will even spin, towards
each other. Or away from each other.
And I can see where you are heading with this, that if they are
spinning in the opposite direction, how come they follow the
same trajectory on the same orbit? It has to do with intrinsic
mass. Each atom has mass. The expansion is the determining factor,
the spin is secondary and a much weaker effect. It is just that
the lubrication is such that it is etherial like em waves
there is very little resistance, so things can spin one way
or another and it does not affect things much.
Until you reach very high speeds.
If you look at how fast the earth is turning, and how fast we are
moving around the sun, and yet we do not lean one way or the other
because we have intrinsic mass and we are in contact with the earth.
I read somewhere today, that if it weren't for gravity,
we would need a steel cable 8,000 miles thick, to maintain
our orbit around the sun. Gravity is in every nucleus.
It is not magnetic, because magnetism is the flow of
electrons, but is like magnetism, because it contributes to the
flow of black body radiation which forms high and low presure areas
and as the universe expands - accellerating and that is the key,
it is the accelleration of the expansion of the universe
creating intrinsic mass. And that mass acts like a gyroscope.
But a gyroscope spins. try the same thing with a air bag
in a car dash. It has inertia. Stand on one as it expands.
You will feel that inertia. I wish there was a better analogy,
sop that you could visualize the fact that this accelleration,
causing the nucleus to have intrinsic mass, is the nulcear force.
That is on that scale a very strong force.
On the astronimical scale, it adds up so that planets are round etc.
The spinning is always over stated in importance. People have
a real difficult time understanding the expansion of the universe
or how matter acts in a gravity well.
Keep in mind that on the molecular level, the nucleus does not
contact another nucleus. The nulceus is very tiny.
The electron contacts other electrons and that forms molecules
crystal lattices etc. with a covalent bond. co valent.
(In common.)
So space-time curvature is spherical, as it begins on the
atomic level. The closer you are to a massive body, the more
it curves, that is to say the closer the topographical lines
would be together. If you plot dots on these topographical lines,
you have a gravitational field.
Those you could call instantaneus quantum gravity point particles
if you wanted to. But they wouldn't tell you anything that GR
doesn't already tell you.
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