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SU UMa NSV 4838 2008 2 8

SU UMa NSV 4838 %'& *,+.-0/213/2154 6372198,:,; …milkyway.sci.kagoshima-u.ac.jp/2007thesis/Mthesis_PDF/...15 ÂÄà ³pÅvÆ©ª T¬n } kÇ~ VSNET È ÉvÊeËÌ \ \ÍvÎcÏ Ð Ñ«k

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Page 1: SU UMa NSV 4838 %'& *,+.-0/213/2154 6372198,:,; …milkyway.sci.kagoshima-u.ac.jp/2007thesis/Mthesis_PDF/...15 ÂÄà ³pÅvÆ©ª T¬n } kÇ~ VSNET È ÉvÊeËÌ \ \ÍvÎcÏ Ð Ñ«k

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SU UMa � � �NSV 4838 ��� � � � �� ��� � � � � � � � � � � �! " � # $ %'& � ( )

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2008 L 2 M 8 N

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OQPSU UMa RTSTUTVXWZY\[^]^_a`cbedgfh[^ijdlkmin[poh[q`cbedgfh[^ijdsr 2 tvuXrq`cbwdgfh[^ijdyx{zc|} km~p���y���T�����Ziq[�oh[q`cbwdgfh[^ijdsr��h�q��in[�oh[������ak{���^�h�����n�qr��v��~\���y��l  NSV 4838(UMa 8,SDSS J102320.27+440509.8) W 1970 ¡T¢Z£e�¤���vV�¥v¦v§�¨©k^ªm���«�s�q�T¬v­\~��® �a��¯c­Z°���±^²�³nr�´vµh¶�·T¸c~\¹n¯T���q¬q¶�£X°\­�­qº�»q¼h¶�in[�oa[��w����r�½T��~p¾aº¿�y���¬T¶^£c°�­�  2007 ¡ 2 Àh��Á 15 ÂÄÃ�³pÅvÆ©ª��T¬n� } kÇ~ VSNET È�ÉvÊeËÌ�\�\ÍvÎcÏ�Ð�Ñ«k VSNET xÒ�Ó k�ª{��Åv�n��r CCD ÔTÕv¸\�T·v¸ÄxǹX°�­� qÖ�rÌ×^Øq�^i�[�oc[v`Zb¿dÙfc[\i�d Ò �̽v� 0.0698 daysr^in[�oh[��w�p�qx�ÚÄÛZªÜ� } r�§T¨c~ SU UMa RTSTUTVc³nÝ�� } k�x�¼qÞwª�­p hÃ�­��h�qß©dà[��h�qWÁ 2 áa�pâTÕ©ªÜ�XÖvr��h� Ò r�ãv�qäXW 0.10 mag/day ³nÝ�°\­� våX�læTçq½q� 0.0678 è{£w� ε=0.0299 xé ÛcªÜ� } �q£w�ëê�ìní (mass ratio) q=0.135 x é Û�ªl­p  } ����rÌ�qîhW SU UMa RvSTUTV«k�ªm�\ï^ðXñ¶�îc³�Ý��l �ò�óZ³\�a�Tß©dë[l�h� Ò r^in[�oh[��w����½T�T�vôõxÌöT÷c­Xk }\ø � P /Psh=+8.7×10−5 ³pÅÆ©ª{�v¬Z� } k�x{ùv�wª�­�  } r�îhW���iq[�o�[��e�p�{½T�Z~ 0.07 èsú^ûXr�ü�ý�¶ SU UMa RvS�UvV�kþíÿ |��aky�����ÇW^iZ[�oh[��©���̽T��~�ã��©ªÌ�q¬Z��~ NSV 4838 WlÅTÆc|��Äk{¬��ëî¿x{z�ª�­�  } �hó����vi�[lo�[��e�p�{½v�v���h�q¬���W��vi�[lo�[��e�p�{½v�Z~ 0.07 èsú�ûar��n³�W� ������Z~ 3 � 1 ���� �Ìi����«k��qÐ disk ���«kÌrv��Ã�³��~��g�hÖvrv�q�� �!Z|��#"vêc~ZÖp�%$'&(���ܶv¬�­�º�in[�oh[�w���̽q�aW�ã��c|��ak*),+e�y���.-�­p �ª{£¿ªÜ� } r�/�0c³nW NSV 4838 r213�{¶�4qô¿x#536\|h� } kW^³'-p¶v¬\  NSV 4838 r^in[�oh[��w���̽T�T���aW�7�8a��9�:añv¶�ùT�c³qÝ��� <;�=�>�³nW�� NSV 4838r^in[�oh[������̽T�c~�¶�?<@«k(Aa¶n�Ìîõx{z�ª�­�r^£�x#B�=©ªÜ�aÖvr^iZ[�oh[��w���̽T�Xr��Tôc£w�C �D�#�ar�E�Fõx�Gq¸Z|��� 

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H

I1 J KML 31.1 Nvu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

1.1.1 OT�vV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31.1.2 STUTV . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.1.3 STUTVXr�Nvu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41.1.4 SU UMa RvSTUTVXr�Nvu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

1.2 STUTVXr�PTùar,Q�R<S�T�U . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71.2.1 VXñ�W�XMY%Z�[^_ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

1.3 in[�oh[q`cbedgfh[\ijdlkmin[�oh[��w�p� . . . . . . . . . . . . . . . . . . . . . . . . . . . 81.4 in[�oh[��w���]\_^Xx�` } |3Q�RMS�T�U . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

1.4.1 a�b�W�XMY�c . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91.4.2 V − a�b�W�XMY�c%Z�[^_ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10

1.5 in[�oh[��w���̽T�hr���� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111.6 �DdCRq[e�[Tr�f�g�kmin[�oh[��w���̽v�T��� . . . . . . . . . . . . . . . . . . . . . . . . . 12

1.6.1 TV Crv r 2 tvuXr^in[�oh[q`cbõdgfh[^ijd . . . . . . . . . . . . . . . . . . . . . . 121.6.2 �DdCRq[e�[vr�f�g«k* �D�#�ar#���ar_h#i . . . . . . . . . . . . . . . . . . . . . . 12

1.7 æTçq½T�«kmin[�oh[��w���̽T�T��� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131.8 NSV 4838 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14

1.8.1 NSV 4838 r�j,k . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 141.8.2 NSV 4838 r�·T¸mllñ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14I

2 J n�o 222.1 ÍTÎhÏ�ÐvÑ 1m ��p�:�qMr�s�t . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222.2 2005 ¡ 6 À . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222.3 2007 ¡ 2 À . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 222.4 2007 ¡ 5 À . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24I

3 J uMv 263.1 w�x%[n[zy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

3.1.1 {\[,|�}.�{[�U~� DARK flame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263.1.2 }Tß2�Äd�}.�m[<U�� FLAT flame . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26

3.2 òM����� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263.3 ¸v� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27

1

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3.4 í ÿ VXr���Y . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27I4 J ��� 284.1 2005 ¡ 6 À . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

4.1.1 ���3��q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 284.1.2 in[�oh[��w�p� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29

4.2 2006 ¡ 3 À . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 294.3 2007 ¡ 2 À . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

4.3.1 ���3��q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304.3.2 in[�oh[��w�p� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 304.3.3 in[�oh[��w�p�̽T�ar���� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 314.3.4 êvìní . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344.3.5 ��� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 354.3.6 ���c�nrlû�p�:�qarlÂ�� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36I

5 J ��� 405.1 in[�oh[q`cbedgfh[\ijd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405.2 in[�oh[e%�z|l_ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 405.3 in[�oh[��w���̽T�hr���� . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40I

6 J �z�#� 42I7 J �M� 43

2

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1.1 ���;�=�>�³w ���,�\�q¬c� NSV 4838 W SU UMa R�S�UTVX��NTuwËÌ�h��  SU UMa RTSTUTVÄWM� 1.1 r��  ��r�ýa��NvuwËÌ���q¬Z�� 'h{Ôc|���¡¢lpx�£,¤^³¥/�5n|��� 

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1.1.1 ¦m§¢¨UvVh¶.&Ì�l¢M©eËÌ���_1z�{¶��'ªC«�STVT½M¬Z³¥O�ª�¬�­TôÄxC` } ª{�T¬Z�lò¥®ar����vVõx]O���V«k{¬v¬p�� 1.2 �ÌzZ|31z�{����¯vVhrzª°«�S�V«k�±�Var]p�«�²yVc£õ�m¶�����NM�vRvû�³�ÔvVc³�Ýv�l �±�V�©�´ar<µ\i~z¶2�#·�¸¥¹#ºÄx]»h­hªl­�p�«�Vc£w�*µ^i�~ L1 ¼Äx*½ �g�.ª°«�SvVar�Ã�¯��Ü�< ����]�õxC¾�¿n|��l �p�«

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V�£w��ÀõÛ�ª�­�µviT~� ��D�#�«kÂÁ�ÃZ|��#Ä�Åa��Á�Æ�Ç�´�~q³'-{�.6T�È�ÊÉË�  hÖ } x¥ÌÍ�Äd¤i�ÎÍ�Ädlk��Ï\ 

� 1.2: Ov��VarM�_Q\[�Ð¥�p ±^Var�¶%�]·�¸^x�»h­hªl­<µ^iv~ L1 ¼ÄxC½j�g�¯^Var<Ñ��y�� ����]�Xx*¾�¿ª��q¬Z�� 

1.1.2 ÒÔÓ¢¨SqUTV kÌW��%� 1.1 ³�zwËl�h�%1%����OT�qVXr Ò ³¥ÕX��Ö�Ä�g©ª°OT�qVX��NTuwËl���^æqç�½T��~ 9 �n�£,¤v³\��ÃTùañv¶p�v�qã��õx]×j�ÙØ�ªþzc|\§T¨c³nÝZ��  } r�ÃTùañv¶��T��\_^hr } k�xl�a`cbedgfh[^ijd

(outburst) k{¬v¬��v�v�zÚZW�Á 2  ∼6 Â�³nÝq� } km~�·v¸c£w�y¯�£h°��q¬Z�� �ò<ÛX�q`cbed fh[^ijdër���TW�����èm£w�àÁ 20 è��q�zÜ°Ý2Ï� �Ã\­���`Zbõdgf�[\ijd ~�` } °��v£e�Þ�arv`Zbed fh[\i�d¤~�` } �vónr��h�qW�� 20∼300 è{³nÝ��� 1.1.3 ÒÔÓ¢¨àß.áãâSqUTVÄWq`hbed fh[�ijdsrl�_�3��qÄr�¾_Ec£��s� U Gem R (SS Cyg R ) � Z Cam Rn� SU UMa RÄr 3 tuÄ��NTuwË��h�� z� 1.3 W��v£�� U Gem R (SS Cyg R ) � Z Cam Rn� SU UMa RÄrl�,�3��q¿x�©«ª���¬Z�

(Kato et al., 2004)  

4

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� 1.3: 3 tTuõr�SqUqVÄr��_�'�qn  Kato et al. (2004) 1X��äåq 2�v£��(æÄ��� U Gem RZ� Z Cam Rn� SUUMa R� U Gem ç

SS Cyg R�k¥Ü��q���c�� Z`cbed fh[�ijd £w�Þ�arT`cb¿dgfc[^i�dþÃp³nW�����è�è{£e� �T¡ar�é%êv³p���|��� c`cbedgfc[^ijd ùMë��nrÌÅT�%ÚnW�� 2 Â�£w� 8 Ân <ìTÐv���a��í�î�ï 1 ð 2 èÌ�#ñõÿ� �\�«èm£w�à�áa��£zò\�pãv��ª��q¬3-{�M���Z��È�k(óÄ�� Z Cam ç

Z Cam RÄW���i.yn��ô¤i�õ3öÌ_�k{���\�h�]\,^Äx#`c|\§q¨õx]÷c|�  } �cWp�z� 1.3 r��_�3��qXr212���`Zb¿dÙf�[\i�d ~�ùM멪{���ìvÐ^���Z£e�àÁ 0.7 Â�ø�ã��©ªl­\�q���Ã�ùvã��c~�úÄÃõ�g��û��Ür��pò�Yhr�6�nË�x]ü%¥\_^hr } km³nÝ��� ci3yn�Íô¤i�õ'öÌ_cr�âTÕT�h�qW�§T¨a�21v°��pýËýþ³�Ý��g���Táa��£w� 1 ¡£,���2ÜCÝ%Ï\ 

5

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SU UMa çSU UMa RXW��ni,þ�o2þq`cb¿dgf3þ�ijd (superoutburst) kpY�þ^]\_h`cb¿dgf3þ\ijd (nomal outburst) k{����h� 2 tvuXrq`�bedgf3þ^ijdÜx�ù�ëc|��̧q¨ar } k�x�÷�|p ni,þ�o3þq`cbed f3þ^ijdëW��v�2ÑnrZY�þ^]_h`cbed f3þ^ijdyx]` } ª�­�ÝÄkÌ��ù�ë�ªÜ�õY�þ^]�_h`cbedgf'þ^ijd*1X��ÜÇâTÕ��h��~ ® � �M�TÐTÂ��ÈÜ

0.5  ∼1.0 Â�ø36��\¬\ aÃ�­��ni,þ�o3þq`cb¿dgf3þ^ijdër����q�TW��Zi,þlo3þ��w���ak{�q���h�]\_^Äx{·¸Z|�� } km~cÛ#ÿõ��  } �cW�� 0.2  ∼0.3 ÂXr��%Ú�³\��æTçq½T�È1a��ÜÜ� %® ¬p½T��³��v�c|��]\_^Z³nÝ��  SU UMa RXrlæTçq½T�aW��qò<ÛXñT�TW 2 ����£,¤v³nÝq�� 

1.1.4 SU UMa �¢ÒÔÓÔ¨ ß.á¢âSU UMa RTSTUqVXW����Xr31%�{¶�Õ���~nÝ���  SU UMa RTSTUTV�k(NquwËÌ�c­lSqUTVXrD����Zi,þ�o3þ`Zb¿dÙf2þ^i�dÌk���r^i_þ�o2þT`cbõd f2þ\ijdàrÌ��� ( i�þ�o2þ�ez�z|�_ � supercycle) r ® Ëp�%1\°l��åa�£,¤�r�ýa��NvuwËÌ�h�� 

SU UMa çSU UMa RvSTUvVhr Ò ³��ÈÜy��~�� �g� 200 §�¨�û��¤ùv�¿Ë{����n�l pÅv�zÚnW 4  ∼6 Âc³��\æ�çT½v�W 80 N ∼120 N«kÂN���ªl��Z�� aÃ�­��ci_þpo3þ¥e%�z|�_�W 100 è ∼1000 è{³nÝ��p <¯TV�k±vVXr�êvìí (mass ratio) W 0.1∼0.25 r^�q��N���ª���Z�� 

WZ Sge çæTçq½v�aW 80 N �Mï«k����g�vê�ìnín~ q < 0.1 k��eË���c³nÝ��l �ù�ëZ|��v`cbedÙf3þ^ijdàW����Ti,þo2þT`cbõd f2þ^i�dÌk�ªm�p·T¸¿Ë��h�l pÅv�zÚnW 6 Â_£_�õk SU UMa RÈ1h��ÜyÐÍ-�� ��vß�dÞþ����2Ü 20è°£_�Äk ® �g��Åv��£¿� ���c��rÌÂ�����óX�TÃp³�� 2 �sÀ^û��þ£v£n� (Kato et al., 2004)  cÃ\­��qi�þ�o2þ�e�z|l_n~ 3000 èC£,�¿k�7�8a� ® \  WZ Sge RXr�i,þ�o3þq`cb¿dgf3þ^ijd �\ÅT��ïar��T�������q`�þ�d*þ�w��� (early hump) k{�n���h�#\_^Z~^¼qÞ¿ËÌ�n��Z��  } �cWp�Zi,þ�o3þp�w���Tr�ýa��½T��c¿x,Ü�°\­z{� _��þ,|^r��v��\_^Z³\�aÖvr�½q�aW��v·T¸añT�TWlæ�çq½T�«k#$��pò��c|��� aÃ�­��Zi,þ�o'þq`cbedgf3þi�dàrÌ�h� ( ��ß�d�þl��� ) "!�ïh�TWl��ò$#&% �y¶Z°�­]ïa�('�)lÅT�Z|Z�*'TÅv� (rebrightning) ~�·T¸¿Ë���l  WZ Sge R�r(�T¨�r����%��qXx�� 1.4 �Ìzn|� ��TßwdÞþÌ�c�� "!#ïh�('^Åv�õxC` } ªm����\r\~^¯v£Z�l � 1.5 �vWq`�þ�d*þ��w���akÜi,þ�o3þ��w����rl���3��qõx{zc|� 

ER UMa çæTçT½T�Z~ 80 N ∼95 N«k��"\  ER UMa RXr#Õ���k�ª{�\��i,þlo3þ�e%�,|l_�~��" } km~�4��X�y���� 

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Õ1.14: SU UMa _#`�a ; á�â�Ù�ã�Ù'bA��Öc1�2 ñÀâ�ÙRã!Ù�b ��Öc1#26d#e�f$gHh(R Õ ð Uemura et al. (2005)

á�i�jAg�Ö�<=Dæ`ÜGk Õ ù�l8ÿ�ð#m�n ó â�Ù�ãXÙGb8�HÖ�1�2�Ý�o�n ó â�ÙBãXÙGb8�HÖ�1�2�d�e�f�ð#o�n2ûp A�'q�Ý�â�Ù�ãXÙGb8�HÖ�1�2 ó�r�s Ü�ý�tà=Ý#u&A�'q+â�Ù�ãXÙGbA�HÖ�1�2 ó�v�] Ü�ý�þ!ÿ�ð

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w1.15: NSV 4838 x�y5z�Ë{�|&}�{HÍG~&�������#���� 5’×5′ �

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�2 � �

2.1 ��������� 1m ��������������� &¡ õ�¢1m £�¤���¥�¦(§�¨ ó Ý �� ¡#©*ª�«�¬ �c­�®�¯D°!á �� &¡ õ�¢�±�¢�² ®�¯�³�´$��µ5¶&,�.

ý�þ�ÿ�ð6)#+�·5¶ ó Ý6¸�¹#£��# CCD Ø�º�»2ñ^Ý�"�¤���¥2Ø(º�»Bû�Ø�¼D½&�*�¿¾�À&��Á�ÂA,'.8ý�þ�ÿRðG¦§�¨�á�C�Ã�îJgÄh 2.1 ��Å�RBðh 2.1:

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2005 ð 6 ñ �òìôó�õ�á J.Pietz ö$�54�ü�ý�â�ÙBãXÙ�b8�:Ö+û�ñ(�c÷8�¿.�Ý 6 ñ 6 ø'^8� 12 øBø:ù�á*ù 5ø�EG)�+�û*ú(��.Dk�ð�)�+ ó Ýûìôó�õÞÝ�ü�å&ý�Ù�Ý�ó�ý|×Þâ�ù*ú���.DkBð 2005 ð ó 724 À2á�þ�ÙSë�û*ÿ��.Sk:ûBÝ8â8Ù�ãXÙ�b-�HÖ'1�2 g����8ÿ#� ó���� Ü�ù(l8ÿRð�c.í�`á�)�+$<�½�gch 2.2 Ý�)�+��áJ×^â±æ¿gch2.3 ��ÅDR�ð2.3 2007 î 2 ï

2007 ð 2 ñ&� � 15 �DøBù r £ Ü�ý�þ�ÿ���ñ<û VSNET �*j��-,'.�Ý 2 ñ 7 øc^A� 2 ñ 28 ø�øBù CCD �� +#£�)�+ gÄú)ü�k�ðG)�+�´�� ó Ý �# D¡ Ý�����Ý�����Ý����Xá 4 ����ð�)#+&��ß�à�Ü�k ��� ó Ý �� 5¡ õ

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h 2.2: 2005 ð 6 ñ�á�)�+ <�½Date HJD(start)∗ HJD(end)∗ N† Exp(s)‡ ID#

2005 Jun 6 53528.3834 53528.4586 46 30 pie2005 Jun 7 53529.3855 53529.4516 54 30 VMT

53529.3923 53529.5135 96 30 pie2005 Jun 8 53530.3781 53530.4815 114 30 VMT

53530.3811 53530.5200 107 30 pie53530.4240 53530.4872 85 60 BDG

2005 Jun 9 53531.3804 53531.5176 111 30 pie53531.3942 53531.4383 56 30 VMT

2005 Jun 12 53534.4225 53534.4596 55 60 BDG∗: )�+�á � !�Ý�"�#�é(E (HJD - 2400000)†: é$�`Ù%$Gæ ‡: &�Ü�é(E#: )�+��á ID

h 2.3: Log of observation.ID Observer Site Telescope

pie J.Pietz GermanyVMT T.Vanmunster Belgium 35cm

BDG D.Boyd UK

¢ ù ó 100cm £�¤���¥�¦(§�¨�á�Ø#¼5½ �*�H¾�À� ' à !)(�ý�þ�ÿ'¸�¹�£ CCD ØSº�»§Ý%���Xù ó 40cm ¦§�¨�Ý�����Ý*�%� ó 25cm ¦�§�¨$g�à�þ�ý�)#+ g'úDüGk�ð�þ%+#.!á�¦#§�¨-,*>�?(Ï�=Xæ(Ê Ø�¼D½���IÎ�ù(lÿ�ð2ø#kRÝ%&�Ü!é(E ó �# &¡ õ�¢ û 180 Ø�Ý.���8Ý.���8Ý ��� ó 30 Ø�ù(l8ÿRð5é�ê'å ë:Ù ó ß�à�Ü�#^�ük�ð ÝDÞ á�)�+�ù�þ8ÙSë�û 6750 À�ÿDÿ/��ñ<û�ù ò Ý�â�Ù�ãXÙ�b-�.0Ä1�2Xá�1�2Jg�R!ÿ+á�� � Ü56þ/3�ë�ûÿ��¿.DkBð4�'.���á�0�» æ53�25E�á�)�+ <�½�gÄh 2.4 6#)�+��á-7Þâ±æ¿gÄh 2.5 ��ÅDR�ðþ83�ë:9%;D��<�þ:ý ó 6 1 =�>%? ó '#ÿ-@'kBA(þ83�ë�^J�DC�3�Ì�é&�E3*$Sg.FHþ#kDG�6�é#»#=!æIé&�H3.$+ùI ückRð 2 =%>*? ( +6£ )

ó �� (¡ ñJ�*�8ù IRAF1 K DAOFIND ñ APPHOT gHß�à)@ÄkRðJ� �8ù ó 6 FitsPhot4.1

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1IRAF (Image Reduction and Analysis Facility)

23

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2.4 2007 î 5 ï2007 ð 5 ñ 11 øG��acbDd8e�T8?()�+8� K OAO/ISLE(Yanagisawa et al., 2006) gGà�þ�ý*"�¤(�(¥�)�+AgúJü6kBðf� K é*2 ó%g 3.hi38jck-l=çi3 g l ó "i#)@�ý�þ!ÿ K ù 6�m8n�é K�o�p gBq�ý�þ�ÿ�ðf� K )�+JgúJü6k ?fr ó 6 p8s ��Ü5^Xü�ý�þ��þ NSV 4838 K m8n�é K "�¤���¥ K �8tAg��u��ÿX�!ñGg&W vDñ�@�ý�þÿ�ð9�; ó 6 �� &¡ õ�¢ K £�¤���¥#¦�§�¨�ù.w�xy@�k*þ/3Së K 9�; ñ V î K z8{ g�à!þ�ý�þ!ÿRð

24

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h 2.4: 2007 ð 2 ñ K )�+ <�½Date HJD(start)∗ HJD(end)∗ N† Exp(s)‡ ID#

2007 Feb 7 54139.215444 54139.361425 70 180 KU54139.223789 54139.338766 210 30 njh

2007 Feb 10 54142.264288 54142.341567 35 180 KU2007 Feb 11 54142.966956 54143.127886 76 180 KU

54143.099694 54143.303652 912 30 Mhh54143.180273 54143.302993 224 30 njh

2007 Feb 12 54143.945454 54144.388212 189 180 KU54144.146508 54144.309898 844 30 Mhh54144.149367 54144.306530 288 30 njh

2007 Feb 14 54146.166057 54146.303880 139 30 njh54146.200902 54146.361610 63 180 KU

2007 Feb 15 54147.139950 54147.305377 850 30 Mhh2007 Feb 16 54148.070057 54148.276873 445 30 kyoto

54148.164258 54148.307948 748 30 Mhh2007 Feb 18 54150.043728 54150.239789 1028 30 Mhh

54150.212191 54150.384209 79 180 KU2007 Feb 19 54150.988946 54151.198168 457 30 kyoto

54151.228328 54151.383385 74 180 KU2007 Feb 20 54152.1114 54152.3373 100 180 KU2007 Feb 21 54153.2148 54153.2973 40 180 KU2007 Feb 23 54155.0150 54155.1822 80 180 KU2007 Feb 25 54157.3127 54157.3804 33 180 KU2007 Feb 26 54158.2717 54158.3311 28 180 KU2007 Feb 28 54160.1487 54160.2101 30 180 KU

∗: )�+ K � !86�"i#�é(E (HJD - 2400000)†: é��3%$�æ ‡: &�Ü�é(E#: )�+� K ID( |�} : h 2.4)

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KU T.Yasuda ∗ Kagoshima,Japan 100cm

Kyoto A.Imada Kyoto,Japan 40cm

Mhh H.Maehara Saitama,Japan 25cm

njh K.Nakajima Mie,Japan 25cm

∗:Obsetver T. Yasuda, S. Oizumi, H. Yamamoto,S. Tanada,Y. Arao, K. Kodama, M. Suzuki,and T.Matsuo.

25

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P=0.065285d c('*)yÊ^ç�à Z ;�ÉT;V-,+ + � � - Ï 4.3 ÉyÊG� � ÉB~�òBe�Ð�--'*)TÊ�çBà � ì á�.�/ �%0@c1 e � c b g��G�#d Z SU UMa é�ê�ë�r b f�C�m�CGø�ù>ú � ì b,243 � ì]ò�u�� �65�7 dkc�d�e!û�ü á ä~ Zk� / � c8É�ÊÛô + Ñ ~�c^-�8:9Ãu�/6;GC�D�/<0 P=0.069815d /4=ye á>.4/ �,0�c 1 e � c á g���~ Z

4.2 2006 ¿ 3 ÀAAVSO /�Q�C�R.Ðiò.~�c 2006 þ 3 Ç �@? Ð�f�CGm�C�ñI��?¶ò�C�f ? ÎBA � ; l dI~ � c á � É j à Z

AAVSO É�Ê�A���ù>C�CÃx8;�à�Q�C�R Î ú�C*DT?�;�à���/ Î>Ï 4.4 Ð �BÑ�Z Ï 4.4 É�Ê>�\K�ÉI~XòBe\Ð�Q�CRB� á>E � X - ¸ à,F�G��,+ + á 7 K�ç l d��#d�à�)�H�I Ñ ~ � c b@J,K g�ä�~ Z

29

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Ï4.3: PDM

� ì��4 �/-$�&4.3 2007 ¿ 2 À4.3.1 ÁÃÂÅÄ�Æ

2007 þ 2 Ç 7 È8ÉYÊ 28 È ¸ g�/ ,�Ë�Ì�ÍTÎ�Ï 4.5 Ð �BÑ�Z ��O�/ ,�Ë�Ì�ÍTÎ M#Ò�Ñ ~>Ó�Ð->L�MBg�N�ÊçBà1ª#« Î�×�Ø c.; l -���È\��°�Ù�/1ª�« Î ���[;�O�P6Q +15.198mag --R�F +0.427mag c!Þ�ß[;à Z-S�T/.Q�C�R b ��È1/�Q�C�R á�U É j à�à�) � d l ä�~ Z ú�U�?ÛCì�± b 2 Ç 7 È8ÉYÊ 19 È ¸ g�/ ð 2 V�±-WX ;�- 0.10mag d−1 /²�Y è g�K�Z�ÉIÐ�â , ; l d j à Zk� /-0 b SU UMa é#ê�ë�rÃc�; l í#î�ï#�,0Igä�~ Z + +TÎ-[ ã ; l É�Ê!- 13 È!]�/ 2 Ç 20 È1Ðâ ,yÎ ã )�à Z>\ ,B��bð 2.5 ªIg�ä j à Z â , ]�Ð<]\ , /�òIe\���G/ á>ý æ á -�+ +�^ á>E ��É j à�à�)�û p g��G�#É j à Z�¸ à�- \ ,�_ ì�/�úkÝa`�C�b�Cb + +Yõ ç���É j à Z�¸ à�- Ï 4.6 Ð 2007 þ 2 Ç 7 È1/-O4P6Q�g�/ ,�Ë�Ì�ÍTÎ �IÑ�Z f�C�m�Cø�ù>ú�/�ûü á>ý ÊVç�~ Z4.3.2

��������� �ú�U[? Cì�± (2007 þ 2 Ç 7 È8ÉYÊ 19 È ) /�- 6750 ��/.Q�C�R>/â , Ò�� Î�� u��#d�à]�Ð PDM(phase

dispersion minimization) � Stellingwerf (1978)Î :�d l�� ì��� Î 7�j à Z#" /<$�& ÎGÏ 4.7 Ð ��ÑGZ Ï 4.7É�Ê>�\K�ÉB~XòIe\Ð � ì á 0.069824 È/%c � Ð@d�d�e�� á�f çIà Z¸ à�- Thorstensen g�Ð�ò j�l 'h)kÊVçIà 243 � ì Ritter, Kolb (2003)Pdot =0.0678d ci'h)kÊVçBà�f�C�m�C

30

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Ï4.4: 2006 þ 3 Ç�/ ,�Ë�Ì�Í

ø�ù>ú � ìBÉ�Ê superhump period excess(ε)Î�h�i /%j Î :Bd l 'h)�~ Z

ε =Psh − Porb

Porb

(4.1)� ç�É[Ê�- ε = 0.02999 c\��~ ZY� ç b -Bf�CGm�C�ø[ù>ú � ì á 2#3 � ìÕò�u�� 2.999%7 dkc\dYe � c Î� ; l dB~ Z

2005 þ�Ð<'6)yÊ�ç�à � ìEc^�>� Ñ ~�cÛ- Ï 4.3 /%8�k�/l;�C�D./ � ì P=0.069815d c(mId-0�Ð�� jl d�~ Z+ + � � - ε /-0IÉ�Ê ý l �an6o�/-+ + g�'*)kÊVçIà � ì�/4=ye á>.4/ �,0Ig�ä�~�c 1 æB~ ZÏ

4.8b -#¹EÈ!pBc1Ð ,�Ë�Ì�ÍyÎ í�î�;�-Bf�C�m�C�ø�ù�ú � ìIg fold ;�à-$4&�g�ä�~ Z ¹EÈ�c��f�C�m�Cø�ùGú�/�û#ü á �yÊVç�~ Z 2 Ç 9 È�c 2 Ç 14 È/ ,�Ë�Ì�Í á>q ç l d�~�/ b -�Q�CBR>/-r á�s X �.É j àÉ�Ê�g�ä�~ Z�¸ à�- Ï 4.9

b ú#U[?!Cì�± Î Ñ#��l Î í�îE;V-�f�C�m�C�øYùGú � ìIg fold ;�àB��/�g�ä�~ Zt � á ð0.2 ª�g>²4Y@; l d�~�/ á K�ÉI~ Z

4.3.3��������� �:uwvyxhzw{

f�C�m�C�ø�ù>ú � ì á È!pBc\Ð}|1/�òIe\Ð�²4Y�; l dB~�/�É Î ��� à Z 0�2 b>h�i /�òBe\Ð�;�à Z1. + +yÎ 7kj à� l /�È1/� l /�f�C�m�C�ø�ù>ú�/-~��I°GÙ Î ��� ~ Z

31

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Ï4.5: 2007 þ 2 Ç 7 È�É�Ê 28 È ¸ g�/ ,�Ë�Ì�Í (x ÿ�� JD-2454000 - y ÿ�� ª�« )

2. � _ /.f�C�mIC�ø�ùGú�/%~��I°�Ù ÎB� ��Ð � u¶->'l)�à.f�C�m�C�økùGú � ì Î :�d l ¹�~#�I°�Ù á ���/-~��I°GÙ�É�Êi�4���1��/�É Î 'h)�~ Z

3. '�)�àGf�CmBCøyù�ú � ì Î :�d l -<~���o � Î 3�4 jBg ��Ñ�Z Eb f�Cm�C1økù�ú./<~���o � - 1 �

�\/<� b-� ��c���d�à�°�Ù (E=0) g�ä�~ Zy� /%jIÉ�Ê�f�C�m�C�øYù>ú�/<~��I°�Ù�/,��®40 Î '*)�~ ZHJD(max) = 54139.25347 + 0.069824× E (4.2)

4. + + ;à-~#�I°�Ù (observation) É�Ê�f�C�m�C�ø�ùGú � ìIÉYÊ�'h)�à-~#�I°�Ù (calculation)Î W �8->$

& Î ú4C*DT? Ñ ~ (O − C AGÚ�ñ#��UGL )Z ÝVf ? Î � 4.1 Ð �IÑ�Z

NÃÊ^çIà O −C A>Ú�ñ#�#UGL Î>Ï 4.10 Ð �BÑ�Z Cycle count(x ÿ )b ~#�6o � - O −C(y ÿ )

b + + 0 - �®�0Ig�ä�~ Z 101 ���/6;�C�D h#��b���Í ï�Ð i á j�l dB~�/�g.- 0< E <101 /#±�g>- h�i /<j�g FittingÎ 7kj à ZO − C = 3.06(3)× 10−6 × E2 − 1.85(3)× 10−4 × E + 1.68(3)× 10−3 (4.3)

j 4.3 É�Ê�f�C�m�C�ø�ù>ú�/�²4Y è�b Pdot = P /P = 8.775× 10−5 ci��É�çIà Zk� /-0 b - Pdot > 0 gä�~ � c ò�u¶-Bf�C�m�C�ø�ù>ú � ì b È!pBc1Ð \�� ; l dB~ � c á K�ÉI~ Z

32

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Ï4.6: 2007 þ 2 Ç 7 È/ ,�Ë�Ì�Í Z f�C�m�C�ø�ùGú�/�û�ü á>ý ÊVç�~ Z

�4.1: Timings of superhump maxima.

E∗ HJD# O(obs)-C(calc)† Error‡

0 4139.25347 0.000001 0.0000000 4139.25632 0.002853 0.0010001 4139.32346 0.000168 0.0000001 4139.32586 0.002575 0.000000

44 4142.32838 0.002654 0.00000054 4143.02425 0.000284 0.00000055 4143.09429 0.000500 0.00000056 4143.16344 -0.000174 0.00500057 4143.23467 0.001232 0.00100057 4143.23749 0.004052 0.00200068 4144.00635 0.004848 0.00000069 4144.07326 0.001934 0.00000070 4144.14444 0.003290 0.00000071 4144.21217 0.001196 0.00000071 4144.21265 0.001676 0.003000

33

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�4.1: Timings of superhump maxima.

E∗ HJD# O(obs)-C(calc)† Error‡

71 4144.21392 0.002946 0.00000072 4144.28250 0.001702 0.00100072 4144.28431 0.003512 0.00000072 4144.28818 0.007382 0.00000073 4144.35631 0.005688 0.000000

100 4146.25189 0.016020 0.001000101 4146.31936 0.013666 0.000000113 4147.15514 0.011558 0.001000114 4147.22721 0.013804 0.001000115 4147.29541 0.012180 0.001000127 4148.12955 0.008432 0.000000128 4148.19646 0.005518 0.002000128 4148.19949 0.008548 0.000000129 4148.26578 0.005014 0.001000155 4150.07480 -0.001390 0.001000156 4150.14610 0.000086 0.001000157 4150.21570 -0.000138 0.001000158 4150.28720 0.001538 0.000000159 4150.35440 -0.001086 0.000000169 4151.05200 -0.001726 0.000000170 4151.11880 -0.004750 0.000000172 4151.25640 -0.006798 0.000000173 4151.32830 -0.004722 0.000000

∗: f�C�m�C�ø�ù>ú�/%~��6o ��Z Ï 4.10 / x ÿ Z#: ~��I°GÙ (HJD - 2450000) †: + + É�ÊiN�à-~��B°GÙ - ��®�ÉYÊ('h)�à-~��I°GÙ Z Ï 4.10 / y ÿ Z‡: ���

4.3.4 �����j 4.1 É�Ê('6)�à ε

Î :�d l -�r ^ � (mass ratio,q)Î '*)�~ Z r ^ � b j 4.4 g p�� õ ç l ~ Z n6o b -�#� ï�Ð%'*)kÊVçIà 3 ����/#�<��j Î :Bd l�" ç6�Gç���®E;V-�$�& Î í�î Ñ ~ � c8g>�����,0 Î � X¶Z

q ≡M2

M1

(M2 :  #r#¡ M1 : ¢�r ) (4.4)

Knigge(2006) £��<��j b ¡34

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Ï4.7: PDM �4 h£-$�& Z 6750 �h£�Q�CBR Î 9�:Y;¤¡ 0.069824 È�£ � ì Î �y³�;�à Z

q1 = (0.114± 0.0005) + (3.97± 0.41)× (ε − 0.025) (Knigge, 2006) (4.5)g�ä�~ Zy� ç�É�Ê¥¡ q1 = 0.1333(11) ci'h)kÊVç�~ Z�¸ à,¡ Patterson(1998) £#�<��j b ¡ε =

0.23× q2

1 + 0.27 × q2

(Patterson, 1998) (4.6)

g�ä�u¦¡ q2 = 0.1345(11) c\��~ Z �IeB§yca��£,¡ Patterson(2005) £#�<��j b ¡ε = 0.18 × q3 + 0.2 × q2

3(Pattersonet al., 2005) (4.7)gBä�~ Zk� ç�É[Ê b ¡ q3 = 0.1360(11) c1�B~ Zk� çEÊ<£ 3 j�É[Ê�¡ qÎ í#î Ñ ~�c¨¡ q = 0.13 c�'©)YÊçIà Z

4.3.5 ª¬«ê�ë�r­£*®�C#w�Õ�ñ��[? òTC#f ?Û°l£>¯#°�ª�« b�2#3 � ì c��-� á äI~ � c á@± Ê�ç l d�~ Z Warner

(1987) ÐXò jl �k�.³ õ çBà\ê#ë#r�Ð@�#²�~�¯�°�ª#« Î '*)�~ ��� j ( j 4.8)Î :�d l NSV 4838 £�¯�°�ª« Î '6),¡,¯�°�ª�«@ci³�´h£��B��j ( j 4.9) ÉYÊ NSV 4838

¸ g#£@��� ¸ É��-³!´ Î '6)�~ Z Warner (1987)£����!j Î�µ : Ñ ~�Ð b<2�3�¶�·�¸ á�¹ õ d � c á,º�» g�ä�~ Z NSV 4838 £�¼ Ë�Ì�Í ÉkÊ(½ áGý Ê�ç���d

35

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à4)�¡ 2�3:¶4·�¸�b ä�~%¾ Ë ¹ õ X ¡�j 4.8Î�µ:¿ Ñ ~ � c á g���~ Z ³�´ Î '©)B~�À#Á b�h�i £- uVgä�~ Z

1. 2007 þ 2 Ç 9 ÈÐ-O4P*Q���ÃIg V ò�ùkxºg�Ä4Å�Æà4£�g@¡�Ç4È#ª�« Î ��� ~ ZNSV 4838 = 21.0636�>��r = 20.196

2. simbad(SDSS) g�����r©£ª�« Î ��� ~ Z�>��r (Vmag) = 15.573

3. �>��r�Ð@��d l É O4P6Q�g:£ V ª�« - SDSS g:£ V ª�«#Ê Î Ñ ~ Z20.196 - 15.573 = 4.623

4. NSV4838 Ð>��d l É O4P*Q�g:£ V ª�« - ����r�g�'h)�àâ�¼�0#Ê Î Ñ ~ Z21.0636 - 4.623 = 16.4406� £-0 á NSV 4838 £ V ò�ùyxºg:£%Ë�Ì#ª�«Ig�ä�~ Z

5. 2007 þ 2 Ç 19 È b ú�U�Í(Îì�±�£%Ï4Ð���£.g>¡.â�¼ è £<j�Ð<Ñ�Ò�ƨ¡�f�Î�m*Î�ñB�ÓÍ ò*Î>f�ͺ°#£�#�#ª�« Î 'h)�~ Z f#Î�m*Î�ñI�ÓͶò*Î.f�ͺ°:£%���#ª�« b 15.12 ª Z

6. SU UMa é#ê#ë#r©£.f�Î�m6Î�ñB�­Í ò6Î.f�Í °:£<����ª�« b ®>Î.w.ÕIñB�ÔͶò6Î.fwÍ °#£<����ª�«-òu 0.5 ª ÷ ~.dyc�dYe!û�ü á ä�~�£�g@¡ 5 g�'*)�àª�«IÉ�Ê-®@Î�w�Õ�ñI�­Í¶ò*Î�f�ͺ°#£ª�« Î�Õ pÑ ~ Zm = 15.12 + 0.5 = 15.62

7.h�i £ Warner (1987) £<j�Ö 243 � ì Porb =0.0678d

Î Ñ4Ò�Ƥ¡�¯4°�ª�« MV

Î 'h)�~ ZMV = 5.64− 0.259Porb (4.8)

¯�°#ª�« b ¡ MV = 5.22 ci'*)kÊVçIà Z8. ¯!°#ª�«Ec¥³�´*£��<��j ( j 4.9) Ð%¯�°�ª#« Î Ñ�Ò�Æ l ³�´ Î '*)�~ Z m

b ®>Î�w.Õ�ñI�ÔÍ ò6Î�f�Í°�Ð!��²�~�����¼ Ë £<Ë�Ì#ª�«�¡ Mb

7 g�'h)�à-¯4°#ª�«�¡ db r ¸ g#£-³�´�g�ä�~ Z

log10d = 1 + (m − M)/5 (4.9)� ç4ò�uס NSV 4838¸ g:£%³�´ b �)ò " d = 1149+49

−47pc c ý4Ø ��ÊVçIà Z4.3.6 Ù�ÚÜÛ x}Ý¬Þ¬ß Æ x©à�á

OAO/ISLEÎ�¿ d l m�â�ã Í £1ª#« Î '6)#à�c �>? ¡ H=17.512(0.088),Ks=16.805(0.079) c8dke($�& á NÊVçIà>ä J ò�ùkx¥£ª�« b NSV 4838 £%å#æI°:£�ª�« á@ç�è Ð4é#d � c�c¨¡}ê©ëBÎ�ì:£�®�Ú�í á §­|\d �c.�Gä�u¦¡}®>Ú�í�Ð%î[�\ç l>ï ³ Ñ ~ � c á g�����É j à�ä

36

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Ï4.8: ¹EÈ!pBc<£@ð:Î�ñ Î í�î�Ƥ¡Bf�Î�m*Î�ø�ù>ú � ìIg fold Æ�à-$�&:ä

37

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Ï4.9: ú�ò�ÍiÎ�ì�±�£1� l £!ð:Î�ñ Î í�î Ƥ¡Bf:Î�m*Î�ø�ù>ú � ìIg fold Æ�à-$�&

38

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Ï4.10: f:Î�m*ÎøYù>ú�~��B°�Ù©£ O −C ó>Ú�ñ4��ò�ì@ä x ÿô�õ~��B°�Ù*o � ¡ y ÿö�÷+4øIÉYÊ(NÃÊ�çIà%~�I°GÙ O(Observation) - ��®6ù�'h)�à-~��I°�Ù C(calculation)

39

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»5 ¼ ú û

5.1 üþý ÿ ý ��� ��� ý ü �

2007 þ 2 Ç 7 È1É@Ê 19 È���ùl£�ú�ò�Í�Î>ì�� ð 2 V��W X Æa¡ " £ :£Gâ�¼ è � 0.10mag d−1 ùä���à<ä��>à-¡��4Î��lÎøkù�ú � ì�� 0.069824 È���'*)�Ê�ç!¡ 2�3 � ì Î�� Ð<'6)�Ê^ç�à superhump periodexcess � ε=0.299 �����>à,ä��ç[Ê�£%0��,¡>í�î�ï�� SU UMa é#ê�ë��h£%0 Î�� Æ! ��#"¦¡ NSV 4838 ��$é�ï�� SU UMa é�ê�ë��&%'� 1)( �*� á ù+-,-ä 2005 þh£!ð:Î�ñ��-+4øEÈ/.�¡�+4ø4��.�É�Ê 2007 þ©£%$&©£4= ( á�.4/ �!0�æ*,-ä5.2 üþý ÿ ý2143�576

AAVSO ÉYÊ-ó 8�ù-C!Î:9BÆ1à 2005 þ<; � £@ð�Î:ñ Î ý �=�,��i¡ 2005 þ 6 Ç ,2006 þ 2 Ç ,2007 þ 2 ÇÐ-�:Î>�*Î�ñ�8ÓͶò*Î-��Í ÎBA �#Æ� 0*,-ä?�\ç�@"A�:Î>�*Î�ñB8ÓÍSò*Î-��Íi£ A ��, � ì�¡*�:Î>�*Î�bÚ*CÕB� ð 304 È �!ô�Dlù+�,-ä-Eh£ SU UMa é#ê�ë��h£-�:Î��*Î�bBÚ*CÕF�HG-I�Æ� &Ja¡���£-0���K-Lï��,0%'� 1 æ*,-ä5.3 üþý ÿ ý2M NPORQTSVUXWZY

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