Absolute Astronomy- another cool link
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Lydia
Site Admin
Posted:
Tue Apr 18, 2006 3:41 am
Joined: 03 Feb 2004
Posts: 591
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onestonegrossfeld
Posted:
Sun Apr 23, 2006 2:59 am
Joined: 23 Apr 2006
Posts: 1
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the Two or One Dimensional Galaxy System
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I have defined the Two or One Dimensional Galaxy System. For the two dimensional universal gravity equation like a spiral galaxy. It can be called "New2ton's equation".
F can be transformed into F = G'Mm/r
Here G' = the two dimensional universal gravity constant
F = G'Mm/r G'Mm/r = mv*v/r
v = const = root( G'M )
M ? M(<r) ∝ v*v = constant for each galaxy
For the one dimensional universal gravity equation for a barred spiral galaxy; It can be called "New1ton's equation".
F can be transformed into F = G"M(<r)m ; ( if >r then F = constant )
Here G" = the one dimensional universal gravity constant
F = G"M(<r)m G"M(<r)m = mv*v/r
M(<r) = 2M'r ( where <r ) v*v = 2G"M'r*r v = root(2G"M')*r
Here M' is distributed uniformly in the cylinder.
Then I can explain that stars in the galaxy can move around the center of the galaxy with the same velocity, not related to the distances from the center. And now I don't have to assume the existence of the "Dark Matter" against the galaxy rotation problem. This means that in a barred spiral galaxy the velocity fields are consistent with rigid body rotation. Arms are made of overflows from the cylinder ends while the strong emission deprives the mass of the cylinder and makes it shorter in length little by little. A shorter and a little bit lighter cylinder should have a slower rotation speed than overflowed stars. Overflowed stars are going ahead of the cylinder rotation with the velocity of
v = root(2G"M')*r , where there is only a weak three and two dimensional gravity potential and where are a lot of interstellar gas and materials which interfere their movings. Most of them take the same elliptical orbit. While traveling halfway around, they are diffused and slow down, and then a small amount of remainings are absorbed into the another end of the cylinder with a tremendous speed because the gravity is so strong there that I can't see the fallings. Observations reveal that the velocity of rotation of barred spiral galaxy is somehow flat or a little increasing by the distance from the center. It is because the observed velocity is the average of stars both in the cylinder and in arms.
These are verified by Schrodinger equation. The spherical harmonics are the angular portion of the solution to Laplace's equation in spherical coordinates where azimuthal symmetry is not present.
Whole story is here;
http://www.geocities.jp/imyfujita/galaxy/galaxy01html
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