Dynamics of Origin of Stars

The origin of celestial bodies is a quite old problem. We may say that, since the mankind knowing how to think, on the earth, there has been somebody thinking of where the star coming from. Therefore so many mythos and legends arose, and various hypotheses were developed.

Sample Chapter(s)
Chapter1: introduction (230 KB)

Components of the Book:

FRONT MATTER

Chapter 1: Introduction

Preface
Jeans Unstable Property Theory of Gravitation
Freely Falling Body Hypothesis
The Fundamental Subject of Theory

Chapter 2: Boltzmann Equation

Derivation of Boltzmann Equation from Mass Conservation in Phase Space
Time Series Expansion and Requirement of Mass Conservation
An Analytic Solution of Equation (2.2.7)
Influence of Collision Term
Many Solutions of Equation (2.2.6) Can Not Describe Motion of Isolated Gas Group

Chapter 3: Dynamic Equation

Velocity of Particle
Dynamical Equation
The Case of Average Velocity Related to r
The Determination of Constant Ci by the Criterion of Mass Conservation
The Vacancy of Zero Power of r in ∂v_r /∂r
Poly-Component System
Convergence of Function f_i(v,r)

Chapter 4: Spherical Symmetry

Proper Spherical Symmetry Assumption
Uniform Spherical Solution of Collision-Less Boltzmann Equation
Asymptotic Representation of b_x and Convergence Region of and Convergence Region of h(t)
Spherical Symmetry Solution of Dynamic Equation (3.2.5)

Chapter 5: The Discontinuity

Real Physical State and Continuity of Density
Continuous Initial Condition
Infinite Continuous Differentiable Initial Distribution
Discussion about Boltzmann Equation
Handling on Discontinuity in This Book
The Basic Dynamic Equation and the Mass Conservation

Chapter 6: Origin of the Stars

The Motion of Isolated Rotational Gas Group
An Isolated Gas Group in the Expanding Universe
Origin of the Star
The Surplus Gas
Star Cluster and Galaxy
The Formation of the Isolated Gas Group
The Outline of the Formation of the Celestial Body

Chapter 7: The Entropy of Contracting Gas Group

Introduction
A Paradox about Entropy
Dynamic Equation and the Collision Term
Criterion of Mass Conservation
Entropy
Approximation
General Distribution Function
Discussion

Readership: This book is for those students or researchers who are interested in dynamics of origin of stars.

1		FRONT MATTER Banggu Zhang PDF (463 KB)

9		Chapter 1: Introduction Banggu Zhang PDF (349 KB)

26		Chapter 2: Boltzmann Equation Banggu Zhang PDF (633 KB)

82		Chapter 3: Dynamic Equation Banggu Zhang PDF (468 KB)

120		Chapter 4: Spherical Symmetry Banggu Zhang PDF (483 KB)

154		Chapter 5: The Discontinuity Banggu Zhang PDF (449 KB)

176		Chapter 6: Origin of the Stars Banggu Zhang PDF (632 KB)

215		Chapter 7: The Entropy of Contracting Gas Group Banggu Zhang PDF (341 KB)