Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Progress in Geophysics》 2007-02
Add to Favorite Get Latest Update

Introduction on background medium theory about celestial body motion orbit and foundation of fractional-dimension calculus about self-fractal measure calculation

YAN Kun(Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China)  
In this paper,by discussing the basic hypotheses about the continuous orbit and discrete orbit in two research directions of the background medium theory for celestial body motion,the concrete equation forms and their summary of the theoretic frame of celestial body motion are introduced.Future more,by discussing the general form of Binet's equation of celestial body motion orbit and it's solution of the advance of the perihelion of planets,the relations and differences between the continuous orbit theory and Newton's gravitation theory and Einstein's general relativity are given.And by discussing the fractional-dimension expanded equation for the celestial body motion orbits,the concrete equations and the prophesy data of discrete orbit or stable orbits of celestial bodies which included the planets in the Solar system,satellites in the Uranian system,satellites in the Earth system and satellites obtaining the Moon obtaining from discrete orbit theory are given too.Especially,as the preliminary exploration and inference to the gravitation curve of celestial bodies in broadly range,the concept for the ideal black hole with trend to infinite in mass density difficult to be formed by gravitation only is explored.By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function,the concrete equation formulas of fractional-dimension derivative,differential and integral are described distinctly further,and the difference between the fractional-dimension derivative and the fractional-order derivative are given too.Subsequently,the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again,and the differences with Hausdorff measure method or the covering method at present are given.By applying the measure calculation equations,the measure of self-similar fractals which include middle-third Cantor set,Koch curve,Sierpinski gasket and orthogonal cross star are calculated and analyzed.
【Key Words】: orbit of celestial body motion background medium theory continuous orbit discrete orbit self-similar fractal measure fractional-dimension calculus fractional-dimension derivative
【CateGory Index】: P135
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 3 Hits
1 YAN Kun(Xi'an Modern Nonlinear Science Applying Institute, Xi'an 710061, China);Fractal dimension structure of Cosmos and its mathematical foundations[J];Progress In Geophysics;2004-03
2 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China);Introductions on the medium shell and discrete orbits of celestial bodies motion[J];Progress In Geophysics;2004-04
3 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute, Xi'an 710061, China);The general expression of Binet equation about celestial bodies motion orbits[J];Progress In Geophysics;2005-02
【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China);Introductions on the medium shell and discrete orbits of celestial bodies motion[J];Progress In Geophysics;2004-04
2 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute, Xi'an 710061, China);The general expression of Binet equation about celestial bodies motion orbits[J];Progress In Geophysics;2005-02
3 YAN Kun(Xi'an Modern Nonlinear Science Applying Institute,Xi′an 710061,China);The tendency analytical equations of stable nuclides and the superluminal velocity motion laws of matter in geospace[J];Progress in Geophysics;2006-01
4 HU Jiaxin Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;Multiple solutions for a class of nonlinear elliptic equations on the Sierpinski gasket[J];中国科学A辑(英文版);2004-05
5 LI He-hong,LUO Liang-ping(Department of Radiology,the First Clinical Medical College,Jinan University,Guangzhou 510632,China);Biological fractal theory and its applications in medical imaging[J];Chinese Journal of Interventional Imaging and Therapy;2008-03
6 HU JIAXINDepartment of Mathematics, Tsinghua University, Beijing 100084, China.;THE NAGUMO EQUATION ON SELF-SIMILAR FRACTAL SETS[J];数学年刊B辑(英文版);2002-04
7 ZHAO Peibiao VANG Xiaoping Department of Applied Mathematics. School of Science. Nanjing University of Science and Technology, Nanjing 210094. China. Depart merit of Applied Mathematics, School of Science. Nanjing University of Science and Technology, Nanjing 210094, China.;GEOMETRIC ANALYSIS OF TANGENT MEASURES[J];Chinese Annals of Mathematics,series A;2005-02
8 LUO Yong-jie~(1,2) XIA Yan~(1,2) LI Guang-yu~1 (1 Purple Mountain Observatory,Chinese Academy of Sciences,Nanjing 210008) (2 Graduate University of Chinese Academy of Sciences,Beijing 100049);A Study of the Scientific Value of the Asteroid Icarus Laser Ranging[J];Acta Astronomica Sinica;2009-02
9 Shan-Shan Zhao;Yi Xie;Department of Astronomy, Nanjing University;Key Laboratory of Modern Astronomy and Astrophysics, Nanjing University, Ministry of Education;;Parametrized post-Newtonian secular transit timing variations for exoplanets[J];天文和天体物理学研究(英文版);2013-10
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 Liu Guangding Li Qingmou Liu shaohua (Institute of Geophysics,Chinese Academy of Sciences,Beijing 100101);GEOPHYSICAL WELL LOG IN GLOBAL CHANGE[J];PROGRESS IN GEOPHYSICS;1999-04
2 LIU Guang ding (Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100101 China);THE PROGRESS OF EARTH SCIENCES IN 20TH CENTURY[J];PROGRESS IN GEOPHYSICS;2000-02
3 LI Qing mou 1,2 LIU Shao hua 2 (1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100101 China; 2.Dept. of Earth & Atmospheric, York University, Toronto, Canada);MULTI FRACTAL AND APPLICATION OF GEOPHYSICAL DATA[J];Progress In Geophysics;2001-01
4 LI Qing mou 1 ,LIU Shao hua 2(1. Department of Earth Sciences, York University, Toronto M3J 1P3, Canada;2. Institute of geology and geophysics 1, Chinese academy of sciences, Beijing 100101,China);Geophysical signal decomposition by singular method and application in GIS[J];Progress In Geophysics;2003-01
5 TENG Ji-wen(Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China);Opportunity challenge and developing frontiers: geophysics in 21st century[J];Progress In Geophysics;2004-02
6 ZHOU Yong-sheng,HE Chang-rongina Earthquake Administration, Beijing 100029, China);The status of continental lithosphere rheology and experiments on creep of rocks at high temperature and high pressure[J];Progress In Geophysics;2004-02
7 YAN Kun(Xi'an Modern Nonlinear Science Applying Institute, Xi'an 710061, China);Fractal dimension structure of Cosmos and its mathematical foundations[J];Progress In Geophysics;2004-03
8 YAN Kun (Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China);Introductions on the medium shell and discrete orbits of celestial bodies motion[J];Progress In Geophysics;2004-04
9 CHEN YONG(China Seismological Bureau, Beijing 100036, China)CHEN LING(Institute of Geophysics, China Sismological Bureau, Beijing 100081, China);DETERMINATION OF THE MAXIMUM EARTHQUAKE MAGNITUDE IN SEISMIC HAZARD ANALYSIS[J];Chinese Journal of Geophysics;1999-03
10 AN ZHEN-WEN; YANG CUI-HUA; WANG LIN-YING; CHEN LI-HUA(Institute of Geophysics, China Seismological Bureau, Beijing 100081, china);STUDIES ON THE MULTIFRACTALS OF TIME AND SPACE CLUSTERING OF EARTHQUAKES[J];Chinese Journal of Geophysics;2000-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved