Well this looks interesting. Jean paul Zoghbi has discovered half integer relationships between star rotation rates and their planetary system’s angular momenta. The paper is here

Abstract With the discovery of now more than 500 exoplanets, we present a statistical analysis of the planetary orbital periods and their relationship to the rotation periods of their parent stars. We test whether the structural variables of planetary orbits, i.e. planetary angular momentum and orbital period, are `quantized’ in integer or half-integer multiples of the parent star’s rotation period. The Solar System is first shown to exhibit quantized planetary orbits that correlate with the Sun’s rotation period.

The analysis is then expanded over 443 exoplanets to statistically validate this quantization and its association with stellar rotation. The results imply that the exoplanetary orbital periods are highly correlated with the parent star’s rotation periods and follow a discrete half-integer relationship with orbital ranks n=0.5, 1.0, 1.5, 2.0, 2.5, etc. The probability of obtaining these results by pure chance is p<0.024. We discuss various mechanisms that could justify this planetary quantization, such as the hybrid gravitational instability models of planet formation, along with possible physical mechanisms such as the inner disc’s magnetospheric truncation, tidal dissipation, and resonance trapping. In conclusion, we statistically demonstrate that a quantized orbital structure should emerge from the formation processes of planetary systems and that this orbital quantization is highly dependent on the parent star’s rotation period.

From Table 1, it can be observed from the orbital ranks calculated using the Sun’s presentrotation period that the Solar System exhibits a discrete and quantized orbital structure wherethe planets’ specific orbital angular momenta J n are ranked in discrete half-integer multiplesof the specific angular momentum J 0 at the solar corotation orbit (n=1.0, 1.5, 2.0, 2.5, 3.0,3.5, etc.). TheΔn deviations from integer or half-integer values are included in Table 3 andindicate that 16 out of 19 planetary orbits have absolute deviations|Δn|<0.07. The discretenature of planetary semi-major axes, mean orbital velocities, and orbital periods, in terms of half-integer values, follow logically from the quantized orbital angular momentum results.The inner planets Mercury (n=1.5), Venus (n=2.0), Earth (n=2.5), and Mars (n=3.0) occupythe ranksn= 1.48, 2.07, 2.43, and 2.99 respectively with minimal deviationsΔn from the closest integer or half-integer values. In the main Asteroid Belt, the orbits of the Flora family are ranked atn=3.5, with both Flora and Ariadne occupying n=3.57. At the orbital rank n=4,the main asteroid families of Ceres and Pallas represent the group and both occupy the rank n=4.03. This orbital rank also includes Misa, Eunomia, Lamberta, and the Chloris families at n=3.90, Ino and Adeana atn=3.94, Dora at n=3.96, Elpis, Herculina, Gyptis, Juewa, Minerva,Thisbe, Dynamene, and Eunike are all at n= 3.99, Eugenia and Nemesis at n=4.0, the Lydia,Gefion, and Pompeja atn=4.01, and the Brasilia & Karin families at n=4.09.

via Tallbloke’s Talkshop

https://ift.tt/2SYAhLH

January 4, 2020 at 06:31AM