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1、精品好文档，推荐学习交流球谐分析，带谐，田谐，瓣谐球谐函数是拉普拉斯方程的球坐标系形式的解。球谐函数表示为：球谐分析（如重力场）是将地球表面观测的某个物理量f(theta,lambda)展开成球谐函数的级数：
其中，theta为余纬，lambda：经度
如重力位可表示为： 带谐系数：coefficient of zonal harmonics 地球引力位的球谐函数展开式中次为零的位系数。In themathematicalstudy ofrotational symmetry, thezonal spherical harmon
2、icsare specialspherical harmonicsthat are invariant under the rotation through a particular fixed axis. （故m=0，不随经度方向变化）扇谐系数：coefficient of sectorial harmonics 地球引力位的球谐函数展开式中阶与次相同的位系数。田谐： coefficient of tesseral harmonics 地球引力位的球谐函数展开式中阶与次不同的位系数。The Laplace spherical
3、 harmonics can be visualized by considering their "nodal lines", that is, the set of points on the sphere where.Nodal lines ofare composed of circles: some are latitudes and others are longitudes.仅供学习与交流，如有侵权请联系网站删除谢谢3精品好文档，推荐学习交流One can determine the number of nodal
4、lines of each type by counting the number of zeros ofin the latitudinal and longitudinal directions independently.For the latitudinal direction, the associated Legendre polynomials possess ℓ−
5、m
6、 zeros, whereas for the longitudinal direction, the trigonometric sin and
7、cos functions possess 2
8、m
9、 zeros.When the spherical harmonic order m is zero(upper-left in the figure), the spherical harmonic functions do not depend upon longitude, and are referred to aszonal. Such spherical harmonics are a special case ofzonal spherical functions.
10、When ℓ =
11、m
12、 (bottom-right in the figure), there are no zero crossings in latitude, and the functions are referred to assectoral.For the other cases, the functionscheckerthe sphere, and they are referred to astesseral.More general spherical harmonics of degree ℓ are n
13、ot necessarily those of the Laplace basis, and their nodal sets can be of a fairly general kind.[10]360阶（EGM96）分辨率为0.5分的来历：纬向180°、360=0.5°。因此，different spherical harmonic degrees corresponds to different wavelength.第一单元看拼音写词语仅供学习与交流，如有侵权请联系网站删除谢谢3精品好文档，推荐学习交流kuānkuòbó
14、wùlǒnɡzhàofèiténɡbēnténɡyījiùhuīfùcànlànzhúɡānɡuīlǜfènɡxìzhàoyàoshùshāojìnɡjìruòyǐnruòxiànánɡshǒudōnɡwànɡmínɡchēnɡfēnɡpínɡlà
