Tuesday, January 8, 2008

Rotational Velocity Curve Fitting with Dipole Gravity

The study of the solar planetary motions provides us with the information regarding the mass of the Sun, the mass of the planet and its distance from the Sun. The reason that this is possible is because Newtonian gravity with his dynamics accurately predicts the orbital motion of the planet with those parameters. In this specific case, there are only three parameters involved, the mass of the Sun, the mass of the planet and the distance between them. The way those parameters are mathematically related is by the simple potential functional form M1xM2/r.

So, in general, this should be the way a correct theory of the nature works; it provides us with the physical and mechanical insight into the cosmological bodies in motion.

The data from the observed rotational velocity curves and the jets, when interpreted by dipole gravity, will do exactly the same. It provides us with the information regarding the rotational frequency, the geometrical configuration and the mass of the galactic core.

The fine tuning problem of the dark matter hypothesis would be largely due to the minute differences in the individual core's physical properties apart from the added mass required problem near the center which can be attributed to the fact that the superposed radial component of the dipole gravity force, which is relatively short ranged compared to Newtonian gravity, strengthens the overall pulling force of the gravity(near the center).

Dipole gravity has several key parameters but some of them are not totally independent. For example, the range of the dark matter halo population is directly related to the length of the jets. The most significant one would be the strength of the gravitational dipole moment itself which is expressed by the mass times the length element which is the shifted relativistic center of mass. So, the gravitational dipole moment is not completely independent from the mass of the galactic core. The information of the shifted center of mass will in turn give the information on how fast the core is rotating and how the geometrical configuration of the core will look like. In fact, this should have been expected bacause the Lens-Thirring force at the center of the rotating spherical shell had the rotational frequency dependent forces on both the axial and radial directions. By assuming that the core will take the most efficient geometry, and also using the variational technique, the overall configuration will become transparent.

One more additional parameter needed may be the mass of the dark matter halo which is given by the mass populated within the unit radial length which may not depend on any other parameters. The reason that the total mass of the dark matter is so large may be due to the sheer size of the volume of the space they are populated although the density itself may be very small.

One of the quick examples of the success of dipole gravity is in the globular clusters. Since there is no significant rotation of the core inside the globular clusters, the rotational velocity curve falls rapidly near the center instead of rising up because there is no contribution of the force from dipole gravity in such cases.

The various forms of the rotational velocity curves can be fitted by the enough number of the parameters all of which have direct mechanical significances regarding the galactic center. On the other hand, MONDian cosmology with its minimal number of adjustable parameters doesn't provide any new insight into the mechanical properties of the core of the galaxies while predicting the curves so well. So, it would be interesting to investigate why that is the case in the light of dipole gravity.

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