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\Dauthor{ �Έ� �q } % �����̖��O
\Ddate{ 2005/06/09 } % �쐬��
\Dfile{ sec0506.tex } % �t�@�C���̖��O

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�߂����ω^���������̉�͂ł́A�ǂ�ȕ��t��Ԃ̔������[���܂œ݂点���A�q���͈�
�l�ɂ��̒����𐳊m�ɘf���O���̋ߓ_�̕����Ɍ����Č��]����A�Ǝ�����Ă���B������
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�q���𒆐S�Ƃ��A�q���̕��ω^���ŉ�]������W�n�ŉq���̌��]���l����i�}5.16�Q�Ɓj
�B�f���ɂ��q���̏d�̓g���N�́A�p$\psi$�ɂ���Č��肵�A���̏ꍇ�ł�
$\mathcal{O} (e)$��
\begin{equation}
  \psi = \phi - \gamma \approx 2e \sin{nt} - \gamma
\end{equation}
�ł���A��(5.56)�̊��S�^���������͎��̂悤�ɏ�����B
\begin{equation}
  \mathcal{C} \ddot{\gamma} -\frac{3}{2} (\mathcal{B} -\mathcal{A})
   n^2 \left( \frac{a}{r} \right) ^3 \sin(4e \sin{nt} -2\gamma) =0
\end{equation}
���t��Ԃ��班���ł������ƁA���ˏ�̋���$r$�̕ω��ɂ���^��
$(a/r)^3 \approx 1+3e\cos{nt}$�Ɨ^�����A��(5.120)�́A
\begin{equation}
  \mathcal{C} =-\frac{3}{2} (\mathcal{B} -\mathcal{A})
               n^2(2\gamma -4e\sin{nt})
\end{equation}
�������́A
\begin{equation}
  \ddot{\gamma} =-\omega _0^2 \gamma +2\omega _0^2 e\sin{nt}
\end{equation}
�Ƃ܂Ƃ߂邱�Ƃ��ł���B���̂Ƃ�$\omega _0^2$�́A�����U�����i��(5.85)�Q�Ɓj��
����B�����$\gamma = \gamma _0 \sin{nt}$�����̕������ɓ���A
���������̐U��$\gamma _0$�ɂ��ĉ����ƁA
\begin{equation}
  \gamma = -\frac{2\omega _0^2 e}{n^2 -\omega _0^2} \sin{nt}
\end{equation}
�𓾂�B$\gamma$�̕ω��͂��̕������ɂ͊�^���Ȃ����Ƃ������Ă����B�����͂̐U��
��$n$�����R�U����$\omega _0$��菬������΁A�����͂��̗͂Ɠ��ʑ��ł���B������
�A����$n>\gamma _0$�Ȃ�΁A�����Ɨ͂�180���ʑ��������B

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�ɂ͏���������l�ł���B�������A�ΐ��̍ł������̉q���ŁA�傫���䂪��ł���t�H�{
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�g���[�N��p���āADuxbury �� Callahan(1982)�ł�0.8���i $\pm$ 0.2���j�Ƃ���
���������̐U���̒l�𓾂��B�����q�����ώ��ł���ƍl����Ȃ�A�ϑ����ꂽ
$\gamma _0$�̒l�ł́A
$(\mathcal{B} -\mathcal{A} )/\mathcal{C} \approx 0.1$�ƂȂ�K�v������
�B�������A�����q�����ώ��Ȃ�΁A�ϑ����ꂽ�t�H�{�X�̌`��
$(\mathcal{B} -\mathcal{A} )/\mathcal{C} \approx 0.2$�ł��邱�Ƃ��ق�
�߂����Ă���B�����q�����ώ��łȂ��A�����x�̊j���ᖧ�x�̕\�y�Ɉ͂܂�Ă���Ƃ���
�΁A�����̑傫���قȂ���
$(\mathcal{B} -\mathcal{A} )/\mathcal{C}$�̒l�𖞑��ł���B
(Thomas(1986))
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\begin{figure}[t]
 \begin{center}
  \includegraphics[width=8cm,clip]{5_16.eps}
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�̍��W�n�ł͘f����guiding cetre�̎���ɌŒ肳�ꂽ2:1�ȉ~�O���œ����B}
\end{figure}
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