摘要
第一章,我們簡介我們的工作.
第二章,我們介紹ㄧ些中心構形的結果與說明我們為何考慮中心構形.
第三章,我們考慮兩個問題,第一個問題,在2001年Alain Chenciner提出一個問題:等質量正n邊形是不是唯一解,當我們考慮共圓n體中心構形限制其質心落在圓心時? 我們證明n=5的情形,在ㄧ些限制下. 第二個問題,我們考慮特別的(6,1)堆疊中心構形,我們證明滿足這種條件的中心構形只有唯一解.
第四章,對於凹5體中心構形,我們得到ㄧ些 S_ij之間的關系.
第五章,我們建構中心測度,將中心構形推廣到連續質量的情形.

Abstract
In chapter 1, we introduce our work in the thesis.
In chapter 2, we introduce some results of central configuration and the importance of central configuration.
In chapter 3, we consider two problems.
First, In 2001, Alain Chenciner asked a problem: Is the regular n-gon with equal masses the unique central configuration lying on a common circle with center of mass being located at the center of the circumscribed circle? We poeve the case of n=5 with some constrains.
Second, We now consider a special planar (6,1)-stacked central configuration problem: Five bodies consist a non-collinear 5-body central configuration with some constraints. We prove there only one type of the special planar (6,1)-stacked central configuration.
In chapter 4, we get some S_ij's relation of concave planar five-body central configurations.
In chapter 5, we create a theory of central measures for celestial mechanics. This theory generalizes central configurations to include continuum mass distributions.

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