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\begin{tabular}{c}
  El movimento classico de una particula en \\
  torno a dos centros coulobbianos con \\
  cargas electricas y magneticas.\\
  TESIS PROFESIONAL \\
  Rodolfo Reyes Sanchez \\
\end{tabular}}











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$\displaystyle g\left(\frac{yz}{r^3\rho},
-\frac{xz}{r^3\rho},0\right)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1011}%
$g$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1017}%
$x$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1019}%
$y$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1021}%
$z$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure329}%
\begin{figure}
\centering 
     \epsfxsize =240pt \epsffile{img2_10.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1031}%
$1/r$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1033}%
$-1/r$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1035}%
$r = 0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1039}%
${\bf A}_0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1041}%
$X$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1043}%
$Y$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar335}%
\begin{eqnarray*}
  {\em B}_x & = & (\nabla \times {\bf A})_x
         =  \frac{\partial {\bf A}_y}{\partial z} -
            \frac{\partial {\bf A}_z}{\partial y}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1047}%
${\bf A}_z=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar344}%
\begin{eqnarray*}
    {\bf B}_x & = & -\frac{gx}{\rho^2}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1049}%
${\bf B}_y$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1051}%
${\bf B}_z$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6096}%
$\displaystyle \left(\frac{gx}{\rho^2},\frac{-gy}{\rho^2},
\frac{-gz}{\rho^2}\right)
=  -\frac{g}{\rho^2} {\bf r}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1055}%
$\Phi$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6104}%
$\displaystyle {\bf A}_0 + \nabla\Phi$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1057}%
$V$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1059}%
${\rm arctan}(y/x)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath1061}%
\begin{displaymath}
    {\bf A}_r  =  0, \qquad
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\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1063}%
$\theta=\pi$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar390}%
\begin{eqnarray*}
  {\bf A}_1 & = & g_1\left(\frac{y(z+d)}{r^2r_1},
    \frac{-x(z+d)}{r^2r_1},0\right) \\
    & & \\
  {\bf A}_2 & = & g_2\left(\frac{y(z-d)}{r^2r_2},
    \frac{-x(z-d)}{r^2r_2},0\right) \\
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1069}%
${\bf A}_1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1071}%
${\bf A}_2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6120}%
$\displaystyle \frac{z(g_1r_2+g_2r_1)+d(g_1r_2-g_2r_1)}{r^2r_1r_2}
\left(y,-x,0\right)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6127}%
$\displaystyle \frac{1}{2m}\left({\bf p}-\frac{e}{c}{\bf A}\right)^2
=  \frac{{\bf p}^2}{2m}-\frac{e}{mc}{\bf p}\cdot{\bf A} +
\frac{e^2}{2mc^2}{{\bf A}^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1073}%
${\bf A}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar428}%
\begin{eqnarray*}
  {\bf A} & = & \frac{(g_1+g_2)(\xi^2-1)\eta+(g_1-g_2)(1-\eta^2)\xi}{
    d^2(\xi^2-1)(1-\eta^2)(\xi^2-\eta^2)}\left(y,-x,0\right)
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar433}%
\begin{eqnarray*}
  \frac{e}{c}{\bf p}\cdot{\bf A} & = &
    -\frac{p_{\phi}}{d^2}\left[\frac{(g_1+g_2)(\xi^2-1)\eta+
    (g_1-g_2)(1-\eta^2)\xi}{(\xi^2-1)(1-\eta^2)(\xi^2-\eta^2)}\right]
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar443}%
\begin{eqnarray*}
  {\bf A}^2 & = & \left[\frac{(g_1+g_2)(\xi^2-1)\eta+
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\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\setcounter{equation}{0}
\stepcounter{section}
{\newpage\clearpage
\lthtmldisplayA{displaymath451}%
\begin{displaymath}
  V  =  \frac{z_1e}{r_1}+\frac{z_2e}{r_2}
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         \left\{ \: 2mde\xi(z_1+z_2)+2mde\eta(z_1-z_2) \: \right\}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1075}%
$z_1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1077}%
$z_2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6145}%
$\displaystyle \frac{1}{2m}\left[{\bf p}-\frac{e}{c}{\bf A}\right]^2+V$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6147}%
$\displaystyle 2md^2H$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6149}%
$\displaystyle h$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6150}%
$\displaystyle \frac{e}{c}(g_1+g_2)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6152}%
$\displaystyle g_+$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6156}%
$\displaystyle \frac{e}{c}(g_1-g_2)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6158}%
$\displaystyle g_-$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6159}%
$\displaystyle 2e^2\frac{g_1g_2}{c^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6161}%
$\displaystyle \frac{g_+^2-g_-^2}{2} =  \kappa$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6163}%
$\displaystyle 2mde(z_1+z_2)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6165}%
$\displaystyle \varepsilon_+$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6169}%
$\displaystyle 2mde(z_1-z_2)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6171}%
$\displaystyle \varepsilon_-$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath480}%
\begin{displaymath}
   h  =  \frac{1}{\xi^2-\eta^2}\left\{(\xi^2-1)p_{\xi}^2+
      (1-\eta^2)p_{\eta}^2+\frac{(p_{\phi}+g_-\xi)^2}{\xi^2-1}
      + \frac{(p_{\phi}+g_+\eta)^2}{1-\eta^2}+\varepsilon_+\xi+
      \varepsilon_-\eta+\kappa\right\}+V_r
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1079}%
$V_r$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath490}%
\begin{displaymath}
  V_r  =  -2mde\frac{(g_1^2+g_2^2)(\xi^2+\eta^2)-2(g_1-g_2)\xi\eta}{
        d^2(\xi^2-\eta^2)}   \\
     =  -2mde\left(\frac{g_1^2}{r_1^2}+\frac{g_2^2}{r_2^2}\right)
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6185}%
$\displaystyle \dot{q}_i$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6187}%
$\displaystyle \frac{\partial H}{\partial p_i}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6191}%
$\displaystyle \dot{p}_i$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6193}%
$\displaystyle -\frac{\partial H}{\partial q_i}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1081}%
$p_i$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1083}%
$q_i$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6200}%
$\displaystyle \dot\xi$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6202}%
$\displaystyle \frac{2p_{\xi}(\xi^2-1)}{\xi^2-\eta^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6206}%
$\displaystyle \dot\eta$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6208}%
$\displaystyle \frac{2p_{\eta}(1-\eta^2)}{\xi^2-\eta^2}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6212}%
$\displaystyle \dot\phi$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6214}%
$\displaystyle \frac{2}{\xi^2-\eta^2}\left\{
\frac{p_{\phi}+g_-\xi}{\xi^2-1}+
\frac{p_{\phi}+g_+\eta}{1-\eta^2}\right\}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6218}%
$\displaystyle \dot{p_\xi}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6220}%
$\displaystyle -\frac{1}{\xi^2-\eta^2}\left\{2\xi\left[
p_{\xi}^2-h-\frac{(p_{\phi}+g_-\xi)^2}{(\xi^2-1)^2}\right]
+\frac{2g_-(p_{\phi}+g_-\xi)}{\xi^2-1}
+\varepsilon_+\right\}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6224}%
$\displaystyle \dot{p_\eta}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6226}%
$\displaystyle -\frac{1}{\xi^2-\eta^2}\left\{2\eta\left[
h+p_{\eta}^2-\frac{(p_{\phi}+g_+\eta)^2}{(1-\eta^2)^2}\right]
-\frac{2g_+(p_{\phi}+g_+\eta)}{\xi^2-1}
-\varepsilon_-\right\}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6230}%
$\displaystyle \dot{p_\phi}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6232}%
$\displaystyle 0$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1085}%
$\frac{\partial H}{\partial x_i}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1087}%
$\frac{\partial h}
{\partial x_i}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1089}%
$x_i$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1091}%
$2md^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1093}%
$h$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1105}%
$(\xi^2-\eta^2)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar544}%
\begin{eqnarray*}
  (\xi^2-\eta^2)h &=& \left\{(\xi^2-1)p_{\xi}^2+(1-\eta^2)p_{\eta}^2+
    \frac{(p_{\phi}+g_-\xi)^2}{\xi^2-1}+
    \frac{(p_{\phi}+g_+\eta)^2}{1-\eta^2}+\right.  \\
  & & \left.+\varepsilon_+\xi + \varepsilon_-\eta+\frac{g_+^2-g_-^2}{2}\right\}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath1109}%
\begin{displaymath}\xi^2h-(\xi^2-1)p_{\xi}^2-\frac{(p_{\phi}+g_-\xi)^2}{\xi^2-1}
    -\varepsilon_+\xi+g_-^2
  = h\eta^2+(1-\eta^2)p_{\eta}^2+\frac{(p_{\phi}+g_+\eta)^2}{1-\eta^2}
    -\varepsilon_-\eta+g_+^2\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1115}%
$\alpha$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6254}%
$\displaystyle h\xi^2-(\xi^2-1)p_{\xi}^2-\frac{(p_{\phi}+g_-\xi)^2}{\xi^2-1}
-\varepsilon_+\xi+g_-^2$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6256}%
$\displaystyle \alpha$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6260}%
$\displaystyle h\eta^2+(1-\eta^2)p_{\eta}^2+\frac{(p_{\phi}+g_+\eta)^2}{1-\eta^2}
+\varepsilon_-\eta+g_+^2$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1117}%
$\kappa$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1119}%
$\frac{1}{2}
(g_+^2-g_-^2)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6269}%
$\displaystyle h\xi^2-(\xi^2-1)p_{\xi}^2-\frac{(p_{\phi}+g_-\xi)^2}{\xi^2-1}
-\varepsilon_+\xi$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6275}%
$\displaystyle h\eta^2+(1-\eta^2)p_{\eta}^2+\frac{(p_{\phi}+g_+\eta)^2}{1-\eta^2}
+\varepsilon_-\eta +\kappa$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath580}%
\begin{displaymath}
  p_{\xi}^2 = \frac{1}{(\xi^2-1)^2}\left\{h\xi^4-\varepsilon_+\xi^3+
    (g_-^2-h+\alpha)\xi^2-(\varepsilon_++2p_{\phi}g_-)\xi \right.
     \left. -(\alpha-p_{\phi}^2)\right\}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1123}%
$p_{\eta}^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath588}%
\begin{displaymath}
  p_{\eta}^2 = \frac{1}{(1-\eta^2)^2}\left\{h\eta^4+\varepsilon_
    -\eta^3-(\alpha+g_+^2-\kappa+h)\eta^2-   \right.
      \left. (\varepsilon_-+2p_{\phi}g_+)\eta + (\alpha-\kappa-p_{\phi}^2)\right\}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\setcounter{equation}{0}
\stepcounter{section}
{\newpage\clearpage
\lthtmlfigureA{figure602}%
\begin{figure}
\centering 
     \epsfxsize =300pt \epsffile{img3_21.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1131}%
$\:1/r$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1133}%
$1/r^2 \:$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6300}%
$\displaystyle R(\xi)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6302}%
$\displaystyle h\xi^4-\varepsilon_+\xi^3+(g_-^2-h+\alpha)\xi^2
-(\varepsilon_++2p_{\phi}g_-)\xi-(\alpha-p_{\phi}^2)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6306}%
$\displaystyle R(\eta)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6308}%
$\displaystyle h\eta^4+\varepsilon_-\eta^3-(g_+^2+h+\alpha-\kappa)\eta^2-
(\varepsilon_-+2p_{\phi}g_+)\eta+
(\alpha-p_{\phi}^2-\kappa)$%
\lthtmlindisplaymathZ
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{\newpage\clearpage
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$(x,y,z)$%
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{\newpage\clearpage
\lthtmldisplayA{eqnarraystar637}%
\begin{eqnarray*}
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{\newpage\clearpage
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\lthtmldisplayA{displaymath1153}%
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\lthtmldisplayA{displaymath1155}%
\begin{displaymath}
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$f_1$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1159}%
$f_2$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1161}%
$s_1$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1163}%
$s_2$%
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{\newpage\clearpage
\lthtmldisplayA{displaymath1165}%
\begin{displaymath}
\left.
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1175}%
$\varepsilon_+$%
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{\newpage\clearpage
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$g_-$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1181}%
$p_\phi$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1187}%
$\varepsilon_-$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1189}%
$g_+$%
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{\newpage\clearpage
\lthtmldisplayA{displaymath1197}%
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{\newpage\clearpage
\lthtmldisplayA{displaymath1205}%
\begin{displaymath}
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{\newpage\clearpage
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$(\frac{g_-^2} 2-\alpha)$%
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{\newpage\clearpage
\lthtmldisplayA{displaymath1211}%
\begin{displaymath} -\varepsilon_-\xi+\left(\frac{g_-^2}{2}-\alpha\right) \end{displaymath}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1213}%
$-\varepsilon_-$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
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\centering 
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{\newpage\clearpage
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\begin{figure}
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{\newpage\clearpage
\lthtmldisplayA{eqnarraystar731}%
\begin{eqnarray*}
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{\newpage\clearpage
\lthtmldisplayA{displaymath1217}%
\begin{displaymath}
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\end{displaymath}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1219}%
$(\varepsilon_+/2h,
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1221}%
$1/h$%
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{\newpage\clearpage
\lthtmlfigureA{figure749}%
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\end{figure}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1261}%
$\xi=\pm1$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1263}%
$p_{\phi}=\pm g_-$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1265}%
$(-1,+1)$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1267}%
$g_-^2$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1269}%
$-p_{\phi}^2$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1271}%
$-p_{\phi}/g_-$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1273}%
$\xi=-g_-/p_{\phi}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1275}%
$(-1,1)$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
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{\newpage\clearpage
\lthtmlfigureA{figure771}%
\begin{figure}
\centering 
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1307}%
$\varepsilon$%
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\lthtmlcheckvsize\clearpage}

\setcounter{equation}{0}
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{\newpage\clearpage
\lthtmldisplayA{displaymath1311}%
\begin{displaymath}\frac{g_1^2}{r_1^2}+\frac{g_2^2}{r_2^2}\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar789}%
\begin{eqnarray*}
    r^2        & = & x^2 + y^2 + z^2 \\
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\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1313}%
$p$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar795}%
\begin{eqnarray*}
p^2 & = &
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\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1315}%
$\frac{\alpha^2}{\gamma^2}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar803}%
\begin{eqnarray*}
p^2 +\frac{\alpha^2}{r^2} & = &
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\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1317}%
$\frac 1 {r^2}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure817}%
\begin{figure}
\centering 
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\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar824}%
\begin{eqnarray*}
-\frac{(g_1^2 + g_2^2)(\xi^2 + \eta^2) - 2(g_1^2 -
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-\left(\frac{g_1^2}{r_1^2} + \frac{g_2^2}{r_2^2}\right)
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1323}%
$-V_r$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\setcounter{equation}{0}
\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1325}%
$Fe_3O_4$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure847}%
\begin{figure}
\centering 
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\lthtmlfigureZ
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{\newpage\clearpage
\lthtmlfigureA{figure881}%
\begin{figure}
\centering 
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\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

\stepcounter{chapter}
\setcounter{section}{1}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6453}%
$\displaystyle \frac{dy}{dt}$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6455}%
$\displaystyle F(y,t)$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1903}%
$F$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar1590}%
\begin{eqnarray*}
    F(y,t) & = & m(t)\cdot y +g(t)
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6464}%
$\displaystyle y(t_0+h)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6466}%
$\displaystyle y_0 + y^{\prime}\cdot h$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure1597}%
\begin{figure}
\centering 
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\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay6476}%
$\displaystyle y(t_0) + h\cdot F(y,t)$%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1909}%
$F(y,t)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure1605}%
\begin{figure}
\centering 
     \epsfxsize =320pt \epsffile{img17_50.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

\setcounter{section}{2}
\setcounter{equation}{0}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1917}%
$y^{\prime}=-y$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1919}%
$y=1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1921}%
$t=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1923}%
$t_0=0$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar1616}%
\begin{eqnarray*}
    y & = & y_0+hy^{\prime}_0 +
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\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar1630}%
\begin{eqnarray*}
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 \end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar1640}%
\begin{eqnarray*}
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\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1927}%
$F^{\prime\prime}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar1661}%
\begin{eqnarray*}
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\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1929}%
$F^{\prime}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar1678}%
\begin{eqnarray*}
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\lthtmldisplayZ
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{\newpage\clearpage
\lthtmldisplayA{displaymath1685}%
\begin{displaymath}
\begin{array}{ccl}
  y^{\prime} & = & F(y,t) \\
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\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\setcounter{section}{3}
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{\newpage\clearpage
\lthtmldisplayA{displaymath1931}%
\begin{displaymath}
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\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath1901}%
\begin{displaymath} \left| \begin{array}{cccc}
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\end{array} \right| = 0 \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
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\begin{figure}
\centering 
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\lthtmlfigureZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1933}%
$dy/dt$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure1723}%
\begin{figure}
\centering 
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1935}%
$(y_0+\lambda y^{\prime}, t_0+\mu h)$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure1732}%
\begin{figure}
\centering 
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{\newpage\clearpage
\lthtmldisplayA{displaymath1737}%
\begin{displaymath}
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   & & + \frac{1}{2}\left(
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\end{displaymath}%
\lthtmldisplayZ
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\begin{eqnarray*}
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$\frac 1 2$%
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\begin{eqnarray*}
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\lthtmlinlinemathA{tex2html_wrap_inline2023}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2025}%
${\bf\kappa}$%
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{\newpage\clearpage
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${\bf F}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2033}%
$y_i$%
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$2\cdot G1\cdot G2$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2543}%
$\kappa=\frac{1}{2}(g_+^2-g_-^2)$%
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$-1 \leq \eta \leq
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2565}%
$-\pi \leq \phi \leq
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2571}%
$( 0, 1 )$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2575}%
$10\leq\xi\leq100$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2579}%
$\xi\leq10$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
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$10<\xi\leq100$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2583}%
$\xi>100$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2587}%
$-1$%
\lthtmlinlinemathZ
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2589}%
$1$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2591}%
$2$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2593}%
$0.02$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
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\begin{displaymath}\frac{\eta}{0.02}+50 = \eta \times 50 + 50.\end{displaymath}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2601}%
$2\pi$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2603}%
$(-2\pi,
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2605}%
$4\pi$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2613}%
$2\pi/100 = 0.0628314$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2625}%
$20032$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2627}%
$23616$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2629}%
$19624$%
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\lthtmlcheckvsize\clearpage}

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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2633}%
$+1$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2635}%
$(-3,3)$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2637}%
$20:12.13$%
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\lthtmlcheckvsize\clearpage}

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$y_{n+1} - y_{n}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2641}%
$DZ/h$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2643}%
$k_{0}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2645}%
$X_{0}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2647}%
$k_{0}/6$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2649}%
$k_0$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2651}%
$hF(y_n+k_0/2)$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2653}%
$k_{1}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2657}%
$k_{2}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2659}%
$k_1$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2663}%
$ = k_{2}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2665}%
$k_{3}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2667}%
$k$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2671}%
$\cdot k_{2}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2675}%
$( y_{n} + k_{2}) = k_{3}$%
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\lthtmldisplayA{displaymath2681}%
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{\newpage\clearpage
\lthtmldisplayA{displaymath2683}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2685}%
$B_4 \longrightarrow B(1) , \quad  B_3 \longrightarrow B(2) ,
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{\newpage\clearpage
\lthtmldisplayA{displaymath2525}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2689}%
$\cal Z$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2691}%
$A_4$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2693}%
$B_4$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2695}%
${P}(\xi)/H$%
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{\newpage\clearpage
\lthtmldisplayA{eqnarraystar2433}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2697}%
$Y=(50-I)(0.082)$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2699}%
$X=J\cdot 0.5-3.0$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2705}%
$f_{2}$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2707}%
$s_{2}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2711}%
$-g_{+}$%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline2713}%
$-g_{-}$%
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{\newpage\clearpage
\lthtmldisplayA{displaymath3381}%
\begin{displaymath}
   -\frac{p_\phi}{g_{-}}  >  1 \qquad \rightarrow \qquad
   p_\phi^{2}  >  g_{-}^{2} \qquad \rightarrow \qquad
   p_\phi^{2}  >  \frac{g_{-}^{2}}{2}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3383}%
$\xi > 1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3385}%
\begin{displaymath}
  0  \leq  \frac{g_{-}^{2}}{2} - \alpha
     \leq  g_{-}^{2}    \qquad  \rightarrow \qquad
  - \frac{g_{-}^{2}}{2}  \leq  -\alpha
     \leq \frac{g_{-}^{2}}{2}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3389}%
\begin{displaymath}\frac{g_+^{2}}{2} - \alpha \leq p_\phi^{2}\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3393}%
\begin{displaymath}
   -\alpha  \leq   -p_\phi^{2} \qquad \rightarrow \qquad
    \alpha  \geq  p_\phi^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3399}%
\begin{displaymath}    p_\phi^{2}        >     \frac{g_-^2}{2} \eqno{(1)} \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3401}%
\begin{displaymath}   \mid \alpha \mid  \leq  \frac{g_-^2}{2}   \eqno{(2)} \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3403}%
\begin{displaymath}    \alpha            \geq  \  p_\phi^2    \eqno{(3)} \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3405}%
\begin{displaymath}    \alpha  \; \geq  \; p_\phi^2 \;
        >  \;   \frac{g_-^2}{2} \; \geq \;  \alpha \eqno{(4)} \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure3186}%
\begin{figure}
\centering 
     \epsfxsize =320pt \epsffile{img26_102.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3409}%
$ -\frac{g_-}{-p_\phi }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3411}%
\begin{displaymath}
\frac{(p_{\phi} + g_-\xi_{ext})^2}{\xi_{ext}^2 - 1} =
\frac{(p_\phi+g_-[-\frac{g_-}{p_\phi}])^2}{\frac{g_-^2}{p_\phi^2}
-1}  =  g_-^2 - p_\phi^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3413}%
$H=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3415}%
\begin{displaymath} g_-^2 - P_\phi^2  \leq \frac{g_-^2}{2} - \alpha \leq g_-^2\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3417}%
\begin{displaymath}\frac{g_-^2}{2} - p_\phi^2 \leq -\alpha \leq \frac{g_-^2}{2}\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3419}%
\begin{displaymath}-\frac{g_-}{p_\phi} > 1 \qquad \longrightarrow \qquad g_-^2 > p_\phi^2\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3361}%
\(\frac{g_-^2}{2} - p_\phi^2  \leq  -\alpha  \leq
    \frac{g_-^2}{2}\)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3362}%
\(g_-^2  >  p_\phi^2\)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3363}%
\(\alpha  \geq  p_\phi^2\)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3364}%
\(-\alpha  \leq  -p_\phi^2\)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3421}%
\begin{displaymath}\frac{g_-^2}{2} - p_\phi^2 \leq  -\alpha  \leq
     - p_\phi^2  \quad \longrightarrow \quad
\frac{g_-^2}{2} \leq {p_\phi}^2 - \alpha  \leq 0
      \quad \longrightarrow \quad \frac{g_-^2}{2} \leq 0 \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmldisplayA{displaymath3423}%
\begin{displaymath}h\xi +  \left(\frac{g_-^2}{2} - \alpha \right) =
    \frac{(p_\phi + g_- \xi )^2}{{\xi}^2 - 1}  \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3425}%
\begin{displaymath}h\eta^2 + \left(\frac{g_+^2}{2} - \alpha \right) =
    \frac{(p_\phi + g_+\eta)^2 }{\eta^2 - 1}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3429}%
$-p_\phi / g_-  > 1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3365}%
\(-p_\phi / g_- < 1 \)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3437}%
$p_\phi^2 > g_-^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3439}%
\begin{displaymath}\frac{g_-^2}{2} - \alpha \geq 0 \quad \longrightarrow \quad g_-^2 \geq 2\alpha \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3366}%
\(-p_\phi / g_+ > 1\)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3367}%
\(-p_\phi / g_+ < 1\)%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3443}%
$-p_\phi / g_+ > 1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3445}%
$p_\phi^2 > g_+^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3447}%
$S_2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3449}%
$-g_+ / p_\phi$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3451}%
$g_+^2 - p_\phi^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3453}%
\begin{displaymath}
    \frac{g_+^2}{2}-\alpha  \leq  g_+^2-p^2 \quad \rightarrow\quad
    p_\phi^2          \leq
     \alpha + \frac{g_+^2}{2} \quad \rightarrow \quad
     2\alpha                \geq  2 p_\phi^2-g_+^2
                       \; = \;  p_\phi^2+ p_\phi^2-g_+^2
                      \;  > \;  p_\phi^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3455}%
\begin{displaymath}2\alpha > p_\phi^2\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar3242}%
\begin{eqnarray*}
   p_\phi^2 & >    & g_-^2 \\
   g_-^2      & \geq & 2\alpha \\
   p_\phi^2 & >    & g_+^2 \\
   p_\phi^2 & <    & 2\alpha
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3457}%
\begin{displaymath}g_-^2 \geq 2\alpha > p_\phi^2 \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3459}%
\begin{displaymath}g_-^2  > p_\phi^2 \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3463}%
$-p_\phi / g_+ < 1 $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3465}%
$p_\phi^2 < g_+^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3469}%
\begin{displaymath}\frac{g_+^2}{2}-\alpha \leq 0 \quad \longrightarrow \quad g_+^2 \leq 2\alpha \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3375}%
\begin{displaymath} \left. \begin{array}{lcr}
     p_\phi^2 > g_-^2 \\
     p_\phi^2 < g_+^2
    \end{array}
\right\} \quad g_-^2 < p_\phi^2 < g_+^2 \quad \rightarrow  \quad
g_-^2 < g_+^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3376}%
\begin{displaymath} \left. \begin{array}{lcr}
     g_-^2 \geq 2\alpha \\
     g_+^2  \leq  2\alpha
   \end{array}
\right\} \quad g_-^2 \geq 2\alpha \geq g_+^2 \quad  \rightarrow
\quad g_-^2 > g_+^2\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3477}%
$-p/g_- < 1 \rightarrow  p_\phi^2 < g_-^2 $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3479}%
$-g_-/ p_\phi \;$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3481}%
$ \; g_-^2 - p_\phi^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3483}%
\begin{displaymath}
      \frac{g_-^2}{2}-\alpha  \geq  g_-^2-p_\phi^2 \quad
      \rightarrow\quad p_\phi^2 \geq \alpha+\frac{g_+^2}{2}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3485}%
\begin{displaymath}
      2\alpha  \leq  2 p_\phi^2-g_+^2=  p_\phi^2+p_\phi^2-g_+^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3487}%
\begin{displaymath}
      2\alpha  \leq  p_\phi^2+{p_\phi}^2-g_+^2   <  p_\phi^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3489}%
\begin{displaymath}
      2\alpha  <     p_\phi^2
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3491}%
$\quad p_\phi^2 -g_+^2 < 0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar3260}%
\begin{eqnarray*}
    p_\phi^2 &<& g_-^2\\
    p_\phi^2 &<& g_+^2\\
    p_\phi^2 &<& 2\alpha\\
    2\alpha    &<& p_\phi^2
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar3263}%
\begin{eqnarray*}
    p_\phi^2 &<& g_-^2\\
    p_\phi^2 &<& g_+^2\\
    p_\phi^2 &>& 2\alpha\\
    g_+^2 &\leq& 2\alpha
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3503}%
\begin{displaymath}
   p_\phi^2    <   g_+^2
        \leq 2\alpha \quad \rightarrow \quad
    p_\phi^2 < 2\alpha
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmldisplayA{eqnarraystar3266}%
\begin{eqnarray*}
      f_1 &=& h \xi^2-\varepsilon_+ \xi- \alpha\\
      f_2 &=& \frac{p_\phi^2}{\xi^2-1}\\
      s_1 &=& h\eta^2 + \varepsilon_- \eta- \alpha\\
      s_2 &=& \frac{p_\phi^2}{\eta^2-1}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3527}%
\begin{displaymath}
     \frac{\varepsilon_+ \pm \sqrt{\varepsilon_+^2+4h\alpha}}{2h}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3529}%
\begin{displaymath}
     \frac{-\varepsilon_- \pm \sqrt{\varepsilon_-^2+4h\alpha}}{2h}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3531}%
\begin{displaymath}
     \left( \frac{\varepsilon_+}{2h},-\frac{\varepsilon_+^2}{4h}-\alpha\right)
\quad {\rm y} \quad
     \left(-\frac{\varepsilon_-}{2h},\frac{\varepsilon_-^2}{4h}-\alpha\right)
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3533}%
\begin{displaymath}-\varepsilon_+ > 0 \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3535}%
\begin{displaymath} -(z_1 +z_2) > 0 \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure3292}%
\begin{figure}
\centering 
     \epsfxsize =360pt \epsffile{img27_111.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3551}%
$-\varepsilon_- / 2h$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3555}%
\begin{displaymath}
  h\left(-\frac{\varepsilon_-}{2h}\right)^2 + \varepsilon_-
    \left(-\frac{\varepsilon_-}{2h}\right)-\alpha =
   \frac{\varepsilon_-^2}{4h}-\frac{\varepsilon_-^2}{2h}-\alpha =
   -\frac{\varepsilon_-^2}{4h}-\alpha
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3557}%
\begin{displaymath}
    s_1\left(-\frac{\varepsilon_-}{2h}\right) =
    -\frac{\varepsilon_-^2}{4h}-\alpha
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3565}%
\begin{displaymath}
s_2\left(-\frac{\varepsilon_-}{2h}\right) =
    \frac{p_\phi^2}{\varepsilon_-^2 / 4h^2 - 1}
= \frac{p_\phi^24h^2}{\varepsilon_-^2-4h^2}  = \frac{(2p_\phi
h)^2}{\varepsilon_-^2-4h^2}
\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3569}%
\begin{displaymath}\varepsilon_-^2 < 4h^2 \quad \rightarrow \quad
    \left(\frac{\varepsilon_-}{2h}\right)^2 < 1\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3571}%
\begin{displaymath} -1 < \frac{\varepsilon_-}{2h} < 1\end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3573}%
$\eta = -1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3575}%
$\eta = 1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3579}%
$s_1 = s_2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3581}%
$s_1 < s_2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3583}%
$s_1 > s_2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{eqnarraystar3324}%
\begin{eqnarray*}
    -\frac{\varepsilon_-^2}{4h}-\alpha &<&
    \frac{(2p_\phi h)^2}{\varepsilon_-^2-4h^2}\\
    -\frac{\varepsilon_-^2}{4h}-\alpha &=&
       \frac{(2p_\phi h)^2}{\varepsilon_-^2-4h^2}\\
    -\frac{\varepsilon_-^2}{4h}-\alpha &>&
       \frac{(2p_\phi h)^2}{\varepsilon_-^2-4h^2}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{chapter}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3647}%
$1/{r^2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\appendix
\stepcounter{chapter}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3808}%
$p_\xi$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3810}%
$p_\eta$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3820}%
$p_\xi \;$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3822}%
$\; p_{\eta}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmldisplayA{displaymath3828}%
\begin{displaymath} Ax^2 + Bx + C \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmldisplayA{displaymath3830}%
\begin{displaymath} \frac{(D + Ex)^2}{x^2-1} \end{displaymath}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3832}%
$Ax^2$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmldisplayA{eqnarraystar3749}%
\begin{eqnarray*}
   V & = & \frac{Z_1^2}{r_1} + \frac{Z_2^2}{r_2} -
           \left(\frac{g_1^2}{r_1^2} + \frac{g_2^2}{r_2^2}\right) -
           \frac{(p_\phi + g_-\xi)^2}{(\xi^2 - \eta^2)(\xi^2 - 1)} +
           \frac{(p_\phi + g_+\eta)^2}{(\xi^2 - \eta^2)(1 - \eta^2)}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
\stepcounter{chapter}
{\newpage\clearpage
\lthtmldisplayA{eqnarraystar4003}%
\begin{eqnarray*}
           V_r &=& \frac{g_1^2}{r_1^2} + \frac{g_2^2}{r_2^2}
\end{eqnarray*}%
\lthtmldisplayZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4030}%
$\xi + \eta$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4032}%
$\xi - \eta$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{chapter}
\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4176}%
$X-Y$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline4190}%
$x-y$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure4137}%
\begin{figure}
\centering 
     \epsfxsize =300pt \epsffile{img28_137a.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure4141}%
\begin{figure}
\centering 
     \epsfxsize =300pt \epsffile{img29_137b.eps}

\end{figure}%
\lthtmlfigureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlfigureA{figure4145}%
\begin{figure}
\centering 
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