摘要
在后牛顿近似下,得到由均匀不可压缩理想流体在刚体自转下形成的扁球体的内外度规．对由后牛顿效应产生的度规分量利用椭球坐标系及级数展开求得解析解．对这一具体问题,在级数展开中仅存若干项,因此结果有可能用于这一度规下粒子运动的研究．
Post-Newton metric was got inside and outside a uniform uncompressed ideal fluid oblate ellipsoid at rigid rotation.Analytic solutions of post-Newton metric component were got by series expansion in oblate ellipsoid coordinate system.There are only finite terms in series in this problem,so results can be used to study particle movement near the ellipsoid.
出处
《天文学报》
CSCD
北大核心
2007年第1期60-70,共11页
Acta Astronomica Sinica
基金
中国科学院知识创新工程重要方向(KJCX2-SW-T1)和10333050资助项目
关键词
后牛顿近似
内外度规
扁球体
球谐函数
post-Newton approximation, inner and exerior metric, oblate spheroid, spherical harmonics
