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\section{�������ϲ���}

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 \Dparskip \vspace{-6mm}
 �����ޤǤϳ��������ѵ��Ϥα�ư�򰷤äƤ�����, ������Ǥ�
 ������礭���������ϤΥ���������Ϥ�Ԥ�.

 �������ϤǤΥ�������󥰤�Ԥ��ȱ���������, ȯ����������ʪ���̤˰�¸��
 �뤳�Ȥʤ���­���Ƥ��ޤ��Τ�ͽ¬���Ѥ����������ʤ�.
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 ͽ¬�������ϤȤ����Ѥ�����.
\end{itembox}

�絤�κ��絬�Ϥα�ư�ϰʲ��Τ褦��ɽ�����
\footnote{
 �������Ϥξ���Υ�������$L$�����ѵ��Ϥ�10�ܤʤΤ�, ����˱�����
 $L/a$, $R_O = V/fL$, $\varepsilon = f^2 L^2 \Gamma^{-1}$���礭����
 ���ѵ��ϤȤϰ�ä��ͤˤʤ�.
 �ʤ�, ����¾�Υ��������3-4��ǹԤä���������ѵ��ϲ��Ϥξ���
 Ʊ���Ǥ���.
}.
%
\begin{eqnarray}
 L/a \sim 1, \quad
  R_O \lesssim 0.01, \quad
  \varepsilon \sim 100, \quad
  \beta a / f \sim 1.
  \nonumber
\end{eqnarray}
%
�����ξ�ﲼ��, ����������(4-43)��
%
\begin{eqnarray}
 R_1 \sim 1
\end{eqnarray}
%
�Ȥ��ƥХ�󥹤�����
\footnote{
 �������Ϥˤ����Ƥ�, $R_1 \sim 1$�ޤ���$R_1 \sim 10$�ʤ��
 (4-43)��ʣ���ι�ˤ�äƥХ�󥹤���.
 ���ʤߤ�$R_1 \sim 1$�ξ���$R_1 \sim 10$�ξ��ȤǤ�
 �ޤ��ۤʤ뼰��������.
 �����Ǥ�$R_1 \sim 1$�ǥХ�󥹤���, (4-83)��(4-84)�μ���Ƴ����.
}.
���Υ�������󥰤�Ǯ�ϳ���1ˡ§(4-46)�Ǥ�����Ω��.
��������󥰤η��, (4-43), (4-44)�ˤ��������Ū�ʹ�ϰʲ��Τ褦�ˤʤ�.
%
\begin{eqnarray}
 & & (\Dvect{V}_{\Psi} + \Dvect{V}_{\chi}) \cdot \nabla f
  + fD = 0,
  \\
 & & \Dlapla \phi' - f \zeta - \Dvect{k} \times \nabla f \cdot
   (\Dvect{V}_{\Psi} + \Dvect{V}_{\chi}) = 0.
\end{eqnarray}
%
���ϰʲ��Τ褦���Ϲ�ήŪ���Ȥ����, ����2�Ĥμ��Ϥ��礦����­����Ƥ��ޤ�
\footnote{
 (4-85)��(4-83), (4-84)�����������, ���礦�ɺ��դϥ����ˤʤ�.
 �ʤ�, (4-14)���$\zeta = \Dvect{k} \cdot \nabla \times \Dvect{V},
 D = \Ddiv \Dvect{V}$�Ǥ���.
}.
%
\begin{eqnarray}
 \Dvect{V} = \Dvect{V}_{\Psi} + \Dvect{V}_{\chi}
  = f^{-1} \Dvect{k} \times \nabla \phi'.
\end{eqnarray}
%
Ǯ�ϳ���1ˡ§�Ǥ����Ƥι��Ʊ�����������ˤʤ�.
�������Ϥα�ư��ͽ¬�����ƥ��(4-45), (4-46), (4-85)�Ǥ���.
����Ǥβ��Ϥ�, $V$����Ϥ뤫���礭������®�٤���Ĥ褦��,
�������ϤΥ����ӡ���(��ͳ��)�ϴޤ�Ǥ��ʤ�\footnote{4-10�Ỳ��.}.
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�����˽��פˤʤäƤ���.




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