My friend Mario Rabinowitz just revived my interest on this relation, which the Mexican Astronomer Poveda has been studying for many years now.
Arcadio Poveda visited us at the Physics school of the University of Puebla (UAP) many years ago. Tapan Kumar Chatterjee invited him, when Dr. Chatterjee was a professor there. Poveda has been an original astronomer, and I have followed his work. Recently Dr. Poveda analyzed extra-solar planetary systems with the so-called Titius-Bode Law, which Rabinowitz told me was discovered by Johann Daniel Titius.
I believe that they are bound to be regularities for objects moving close to a plane, because they exert forces on each other. This is a formation issue, that likely requires computer calculations to derive. The main idea though, is that a planar many body problem follows regularities, as has been observed by the hexagonal structure in Jupiter. From those hexagons to some radius relation for planetary orbits, I just see computer work directed to finding it. One planet, pulling a nearby one, competing with other planets on the other side of the orbit, could produce an orbit, not too close, and not too far, like in the Goldilocks fairy tale. Order out of Chaos.
Dear Colleague,
ReplyDeleteI am sending you information. Have a look at it please.
Sincerely,
Georgi Gladyshev
Professor of Physical Chemistry
Titius - Bode law (Liesegang)
There is proposed a hypothesis according to which the regular structure of planetary and satellites systems can be explained as a consequence of spatially periodic condensation of gaseous matter during the formation of the Central Body.
According to the hypothesis, the periodic condensation on cosmic scales is analogous to the Liesegang phenomenon. Calculations indicate that the hypothesis is in agreement with certain facts: the mechanism of condensation under consideration does not contradict the basic laws of diffusion (mass transfer) and s number of physical models:
http://creatacad.org/?id=21&lng=eng http://creatacad.org/?id=24&lng=eng http://creatacad.org/?id=23&lng=eng
http://www.eso.org/public/archives/releases/sciencepapers/eso1035/eso1035.pdf
http://www.universetoday.com/87784/applying-the-titius-bode-rule-to-exoplanet-systems/
http://www.scielo.org.mx/pdf/rmaa/v47n1/v47n1a12.pdf
Now the Titius-Bode law sometimes helps to find new exoplanets!
According to the model Saturn is younger Earth. Titan is younger than Saturn! See also: http://creatacad.org/?id=23&lng=eng !
The violation of law may be in the latter stages of the evolution of planetary and satellite systems as a consequence of the action of gravitational forces or changes of physic - chemical conditions in protodisk.
Thank you so much. I'll read your work.
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