Haumea, minor-planet designation 136108 Haumea, is a dwarf planet located beyond Neptune’s orbit. It was discovered in 2004 by a team headed by Mike Brown of Caltech at the Palomar Observatory in the United States and independently in 2005, by a team headed by José Luis Ortiz Moreno at the Sierra Nevada Observatory in Spain, though the latter claim has been contested. On September 17, 2008, it was recognized as a dwarf planet by the International Astronomical Union (IAU) and named after Haumea, the Hawaiian goddess of childbirth. https://en.wikipedia.org/wiki/Haumea
Using the data from the above source yields a rotational speed of 2 π r1 / t = 2 x 3.14 x 5.0×107 cm / 1.4 x 104 sec = 2.0 x 104 cm/sec.
Its orbital speed is given to be 4.5 x 105 cm/sec.
vg = ( Gm/r )½ = ( 6.67x 10-8 cm3/g sec x 4.0x1024g / 7.0×107 cm )½ = 6.2×104 cm/sec
Might this figure had been the ‘original’ rotational speed of Haumea which transferred some of its energy over time to gravitational influences and frictional sources?
This figure is within a factor of ten of the orbital speed.
Although Haumea is treated as a sphere to reach this figure for vg it is actually ellipsoidal.
Now that we have more data on Pluto’s moons there is another opportunity to test the predictions of this theory against measured values. The data used here is from Wikipedia:
Calculation for Styx and Kerberos are not made since their mass is not known.
The orbits are treated as being circular with the semi-major axis used as the radius. From the orbital period the following orbital velocities were found ( cm / sec x 103 ):
Charon 9.99, Nix 10.2, Hydra 6.16
The square root of G m / r was found for these three representing their original rotational and revolving speed combined..Since Nix and Hydra are not spherical a radius was assigned to them based on their volume being a sphere. Their estimated mass was used acknowledging the high degree of uncertainty. Here are these calculated values in the same units:
Charon 48 Nix 78 Hydra 1.2
These computed values are all within a factor of less than 10 of the actual values.
An equation (1) is presented which introduces a velocity term based upon Newton’s law of gravity. This term is included in equation (2) which is proposed as a universal velocity law. These two equations are then used to: 1. establish a maximum energy ceiling for cosmic rays, 2. account for the rotational velocities of stars formed from interstellar clouds, 3. predict solar planetary velocities, 4. apply them to the universe itself. Quantities are calculated which have not been calculated before, with modest success.