5 Notation

Symbol	Description	Units
$GM_{\mathrm{g}}$	mass gravity constant of the geopotential model	m$^{3}$ s$^{-2}$
$a_{\mathrm{g}}$	semi-major axis of the geopotential model	meters
$GM$	mass gravity constant of the reference ellipsoid	m$^{3}$ s$^{-2}$
$a$	semi-major axis of the reference ellipsoid	meters
$f$	flattening parameter of the reference ellipsoid	no units
$b$	semi-minor axis of the reference ellipsoid	meters
$E$	linear eccentricity	meters
$e$	first (numerical) eccentricity	no units
$e'$	second (numerical) eccentricity	no units
$\omega$	angular velocity of the Earth's rotation	s$^{-1}$
$\lambda$	longitude	$^{\circ}E$ or radians
$\varphi$	geographic latitude	$^{\circ}N$ or radians
$\bar{\varphi}$	geocentric latitude	$^{\circ}N$ or radians
$r$	local elliptic radius	meters
$g$	mean gravity	ms$^{-2}$
$\gamma_{0}$	local normal gravity	ms$^{-2}$
$\gamma_{a},\gamma_{b}$	normal gravity at the equator, at the poles	ms$^{-2}$
$\bar{C}_{n,m}$	fully normalized spherical harmonic coefficients	no units
$\bar{S}_{n,m}$	(or Stokes' coefficients) of the gravity model	no units
$P_{n,m}$	associated Legendre functions of the first kind	no units
$\bar{P}_{n,m}$	fully normalized harmonics	no units