Distortion for Projections of the Ellipsoid - Numerical Example #
Radius of curvature and length of degrees, using the
ellipsoid
at latitude °
From equation (4-18),
$$
\eqalign {
R' &= 6378206.4(1-0.00676866)/(1-0.00676866\sin^2 40^\circ)^{3/2} \cr
&= 6361703.0\;\text{m}
}
$$
From equation (4-19), using the figure just calculated,
$$
$$
From equation (4-20),
$$
$$
From equation (4-21),$$
\eqalign{
L_\lambda &= [6378206.4\cos 40^\circ/(1-0.00676866\sin^2 40^\circ)^{1/2}]\pi/180^\circ \cr
&= 85396.1\;\text{m, the length of \(1^\circ\) of longitude at lat. \(40^\circ\)}
}
$$