Special treatment at coordinate origin, wrong! to be deleted

$\displaystyle \Psi \approx a^{00} + a^{10} R + a^{01} Z + a^{11} R Z + a^{20} R^2 + a^{02} Z^2 .$

(436)

$\displaystyle R = R_0 + b^{11} \sqrt{\psi} \cos \theta$

(437)

$\displaystyle Z = Z_0 + c^{11} \sqrt{\psi} \sin \theta$

(438)

$\displaystyle \Psi$	$\displaystyle \approx$	$\displaystyle a^{00} + a^{10} \left( R_0 + b^{11} \sqrt{\psi} \cos \theta \righ... ... \cos \theta \right)^2 + a^{02} \left( c^{11} \sqrt{\psi} \sin \theta \right)^2$
	$\displaystyle =$	$\displaystyle a^{00} + a^{10} R_0 + a^{10} b^{11} \sqrt{\psi} \cos \theta + a^{... ...^{20} R_0 b^{11} \sqrt{\psi} \cos \theta + a^{02} (c^{11})^2 \psi \sin^2 \theta$
	$\displaystyle =$	$\displaystyle d_0 + d_1 \sqrt{\psi} \cos \theta + d_2 \sqrt{\psi} \sin \theta + d_3 \psi \sin 2 \theta + d_4 \psi \cos^2 \theta + d_5 \psi \sin^2 \theta$

$\displaystyle \Psi = d_0 + d_1 \sqrt{\psi} \cos \theta + d_2 \sqrt{\psi} \sin \theta$

$\displaystyle R = R_0 + b^{11} \sqrt{\psi} \cos \theta + b^{12} \sqrt{\psi} \co... ...\psi} \right)^2 \cos \theta + b^{22} \left( \sqrt{\psi} \right)^2 \cos 2 \theta$

(439)

$\displaystyle Z = Z_0 + c^{11} \sqrt{\psi} \sin \theta + c^{12} \sqrt{\psi} \si... ...\psi} \right)^2 \sin \theta + c^{22} \left( \sqrt{\psi} \right)^2 \sin 2 \theta$

(440)

Subsections

yj 2018-03-09