Euge 16 - Academia.edu (original) (raw)

There are the theories for exploring Solar system formation in accord Titius-Bode's low: electrom... more There are the theories for exploring Solar system formation in accord Titius-Bode's low: electromagnetic theories (Birkeland (1912), Alfven (1942)), gravitational theories (Schmidt (1944), Woolfson (1964), Safronov (1969), Dole (1970)), nebular theories (Weizsaecker (1943), Kuiper (1949), Nakano (1970)) [1]-[3]. In spite of great number of work aimed to exploring formation of the Solar system, however, the mentioned theories were not able to explain all phenomena. In this connection the statistical theory for a cosmological body forming (so-called the spheroidal body model) has been proposed in [4]-[11]. Within the framework of this theory, bodies have fuzzy outlines and are represented by means of spheroidal forms. In the work [6], which is a continuation of the papers [4], [5], it has been investigated a slowly evolving in time process of a gravitational compression of a spheroidal body close to an unstable equilibrium state. In the papers [7],[8]the equation of motion of particles inside the weakly gravitating spheroidal body modeled by means of an ideal liquid has been obtained. Using Schwarzschild's and Kerr's metrics a consistency of the proposed statistical model with the general relativity has been shown in [12]. The proposed theory proceeds from the conception for forming a spheroidal body as a protoplanet from planetary nebula; it permits to derive the form of distribution functions for an immovable and rotating spheroidal body [4]-[6],[10]-[13] as well as their density masses (gravitational potentials and strengths) and also to find the distribution function of specific angular momentum of the rotating uniformly spheroidal body [13],[14]. Using the specific angular momentum distribution function this work considers a gas- dust protoplanetary cloud as a rotating and gravitating spheroidal body. Because the specific angular momenta are averaged during conglomeration process the specific angular momenta for a planets of Solar system is found. As a result a new low for Solar system planetary distances is derived (it generalizes the well-known Schmidt low). The new low gives a very good estimation of real planetary distances in Solar system (the relative error of estimation is 0%; absolute error of estimation is 0,5% besides its maximal value is equal to 5% for Earth and Pluto). This low has been applied also to estimation of Jupiter's satellities distances in this work. References: [1] M.M.Nieto, The Tutius-Bode low of planetary distances: its his-tory and theory. Pergamon: Oxford, New York et., 1972. [2] V.S. Safronov, Evolution of Protoplanetary cloud and the formation of the Earth and planets. 1969, Moscow, Nauka, (in Russian); NASA Tech. Transl. F-677, Washington, D.C. 1972. [3] A.V. Vityazev, G.V. Pechrnikova and V.S.Safronov, The Terrestrial planets: origin and early evolution. 1990. Moscow, Nauka (in Russian) [4] A.M.Krot, Achievement in Modern Radioelectronics (Special issue "Cosmic Radiophysics", Moscow), no.8, pp.66-81, 1996 (in Russian). [5] A.M.Krot, Proc. SPIE's 13th Annual Intern.Symp. "AeroSense", vol.3710, pp.1248-1259, Orlando, Florida, USA, April 5-9, 1999. [6] A.M.Krot, Proc. SPIE's 14th Annual Intern.Symp. "AeroSense", vol.4038, pp.1318-1329, Orlando, Florida, USA, April 24-28, 2000. [7] A.M.Krot, Proc. SPIE's 15th Annual Intern. Symposium "AeroSense", vol.4394, pp.1271-1282, Orlando, Florida, USA, April 16-20, 2001. [8] A.M.Krot, Proc. 53rd Intern. Astronautical Congress: The World Space Congress-2002, Houston, Texas, USA, October 10-19, 2002, Preprint IAC-02-J.P.01. - 11 p. [9] A.M.Krot, Proc. 34th Scientific Assembly of the Committee on Space Research (COSPAR)- The 2nd World Space Congress (WSC- 2002), October 10-19, 2002,Houston, Texas, USA. [10] A.M.Krot, Proc. of EGS- AGU-EUG Joint Assembly, Nice, France, April 6-11, 2003, Geophysical Research Abstracts, vol.5, EAE03-À-05568, 2003. [11] A.M. Krot, Proc. of 54 Intern. Astronautical Congress (IAC), September 29-October 3, 2003, Bremen, Germany, Preprint IAC-03-J.1.08. -11p. [12] A.M.Krot , Proc. of 35th COSPAR Scientific Assembly, Paris, France, July 18-25, 2004, Abstract-Nr. COSPAR 04-A-00162. [13] A.Krot, Proc. EGU- 2nd General Assembly, Vienna, Austria, April 24-29, 2005, Geophysical Research Abstracts, vol.7, EGU05-A-04550, 2005; SRef-ID: 1607-7962/gra/. [14] A.Krot Proc. EGU- General Assembly, Vienna, Austria, April 02- 07, 2006, Geophysical Research Abstracts, vol.8, EGU06-A-00216, 2006; SRef-ID: 1607-7962/gra/. 2