Mathematics – Logic
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003eaeja.....4494f&link_type=abstract
EGS - AGU - EUG Joint Assembly, Abstracts from the meeting held in Nice, France, 6 - 11 April 2003, abstract #4494
Mathematics
Logic
Scientific paper
ORDERED POSITIONS OF FORMATION CENTERS OF THE EARTH-LIKE PLANETS, MOONS AND THE SUN M.G. Ferrandez (1), Yu.V.Barkin (2), J.M. Ferrandiz (1) (1)Alicante University, Spain, jm.ferrandiz@ua.es, (2) Sternberg Astronomical Institute, Moscow, barkin@sai.msu.ru/Fax:+07-095-9328841 Elementary empirical analysis of the distribution of the centres of different formations of the Earth-like planets and moons (CF) leads us to a conclusion about ordered character of their positions. The definite inclined belts of the concentration of the CF, grid phenomenon in their latitudinal and longitudinal distribution, antipodal CF are observed on the surface of the Mercury, Venus, Moon, Mars, Io and others planets and satellites. Similar ordered structures are observed also for the Sun formations. We present some results of the mathematical-statistical analysis of the ordered positions of centers of different formations (montes, dorsa, pateras, albedo features and others) for above-mentioned bodies of the Solar system. The problem is reduced to statistical analysis of the point positions (CF) on the spherical surface of the corresponding celestial body. The central method (it was called as axography method) let us to realize computer search of the special active poles on the sphere for which the CF are characterized the more elegant latitudinal-longitudinal order in their positions. When definite part of the CF located and concentrated along selected parallels and meridians for given pole. As criteria?s of the latitudinal and longitudinal ordering of CF we use statistical parameters (Qp) and (Qm) which equal to sum of the numbers of CF pares situated in thin (order 1-20) meridional or latitudinal strips of the given pole. These parameters are defined with some small step for all surface of the celestial body and their values are illustrated on the plane «latitude-longitude». By this method the more important poles for which the parameters of the alignment CF along meridians and along parallels have the more high values are found. Then we compare calculated parameters with their similar values but obtained for random distribution of the same number of the points on the sphere. For more intensive pole we define position of the equatorial planes of the inclined reference systems (or big circles on the celestial body surface). For analysis in our reports we have used the Internet Data of USA Geological Surveys about planet and satellite formations. Observed correlation?s in positions of the active pole of ordering with fundamental planetary formations (for the Earth, Venus, Mars and others) illustrate dynamical origin of discussed phenomena. For dynamical explanation of the observed ordering of the celestial body formations we suggest the mechanism of the relative displacements of its shells due to gravitational action of the external celestial bodies. Barkin?s work was accepted by grants of RFBR 02-05-64176 and Spain Sabatico grant N SAB2000-0235.
Barkin Yu V.
Ferrandez M. G.
Ferrándiz José Manuel
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