## Introductions on the medium shell and discrete orbits of celestial bodies motion

**YAN Kun (Xi'an Modern Nonlinear Science Applying Institute,Xi'an 710061,China)**

By using phenomenological method for the medium shell curve,an energy-curvature equation on three di-mensions regular space and the energy-gravitation form about gravitational interaction between bodies are given.Fur-ther more,two condition solutions of the gravitational expression is close by with the results of Newton's gravitationaltheory and Einstein's general relativity respectively.The localizations in the functions of the fractal dimension calculusat present are discussed,and the similar expanded equation is given.Subsequently,by discussing the expanded base-line property on the celestial motion orbit,the discrete orbital equation of the celestial bodies motion are given.Andreferring to the related orbital data of planets and some satellites in the solar system,the concrete expression on thediscrete orbit of the celestial bodies motion are given.

【Key Words】：

【CateGory Index】： P137

**medium shell curve****discrete orbital equation of celestial bodies motion****energy-curvature equation****localization of fractal dimension calculus****similar expanded equation****fractal dimension expanded**【CateGory Index】： P137

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