Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 62-65.

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The Probability Density and Uncertainty Relation of any one of Stars with Random Motion in Irregular Galactic System

Lan Chengrong1, Shi Wenyia1, Lai Sanzhi1, Lan Xin2   

  1. 1. Sandong Heze Institute of Education. Heze 274016;
    2. Yantai Normal University. Yantai 264025
  • Received:1995-01-10 Revised:1995-09-22 Online:1997-12-26 Published:1997-12-26

Abstract: In this pater,we describe the random motion of any one of stars in irregular galactic system by using Langevin equation.Using the represent points in phase space X,Ẋ,we can describe each random state of the star with random motion. From Fokker-Planck equation, we have calculated the probability density fs(X,Ẋ) of these random states.#br#According to fs(X,Ẋ), we have calculated the square of the standard deviation and fluctuation corresponding to the position and velocity of these stars with random motion.Hence,we discover that any one of stars with random motion in irregular galactic system should satisfy the uncertainty relation of celestial body.

Key words: random motion of any one of stars, Probability Density, Uncertainty relation of cele sital body

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