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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
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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
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1IRAF (Image Reduction and Analysis Facility)
23
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
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)
h 2.5: Log of observation.ID Observer Site Telescope
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
�3 � ~ �
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3.1.1 ���������X�y� � DARK flame�� �� ó £Xûc�#k!ü�ý�þ��þ o�p ù,�6�� � g�^X(�ÿDñ�l8ÿD��� K �.� û �� ,�.�6c�. $��»S�%C�$¡ ó�¢�û.£S.�ÿ�ðf�'. ó ¤ �54:ÿ�¥�¦�§�¨�6�¦�©AgDª&Y � R8«�� A W ÿ ªDY � @ ¡ ó�¢�ù�l]¬6y®¯C 3�Ì °ñ�±(q*.�ÿ�ðf�'.�� K�² ��6 ì53%$&� K�³ j/´���68µ�\�Z K�¶ 3Së 3#^8�*, ¡ ó�¢5g ·X¸8ü�ý4@Bø)¹»º5LK k��G)�+¼�½ ³ j/´��:6�¾�¿8�86�À8Á�Â8Ã�Ä8Å�� K ¦�ÆJg�Ç�ü�ý�l8ÿ�º4C*3SÌ K x�È)½�&�Ü�É(E���Ê�PR�Ë K Ì 6 d�eJg Ú�Û ,DÍ5>�ÎH=Gë%3(g Ï W k o�pcÌ )�+�d�eÑÐ VuW &�ÜXÉ(E K é$��3%$Dg 5 Ò�w�xDRcË�º� K 5 Ò K C*3(Ì�é$��3*$5gBÓ%Ô�eÕ@E6 d�e K A5þ83�ë�^8�BF/Ö:×�RcËX�/Ð Ì 6iC*3(ÌBØ�Ü$g*¾�Ù Ì Ö%Ë º3.1.2 �ÛÚÝÜßÞ �à�/�y� � FLAT flame�� �JgBá�Øy@Bâ8ãXËDä�£/å�æ)½�6L�.5M6.�ç V)WEè�é g/,�ê�â8ãXËuÐD½�ëA�Bì�ã ºuí#k�6 é�ê�å ë 3K î�ï8ð ,É´8�uñ�ò�ê�â*ó�ô�õuìXË�ö��.6 V)W�÷)ø K £�ç*®fê�âuÖ�â),�å�æ�ùXÐDñ ���%ú ç.õuì/Ë�ºf�BûüBý�þcÿ Ë�ö��8ñ�6 �� �uñ P�� ì ÷ é K £ ü ã%ûcö ® é�»��l° é���3%$ ü w8 ÿ Ë�º$é�»��l¿é���3$ K w8 )ñ�àXãXË P�� ì�£4½�6���Xû���8( Ò K ��Ë%ã� ü w� ÿ Ë ( l����S»��Ol¿é�»��l ) º%w8 �@ö�é�»��l¿é���3%$����C 3SÌ�é���3%$ ü FXÖ�6�������@:6-ä6Ì*¼�å K Ó�Ô��ik��fl ú ç 1 ñ�ì/ËXòc¹Bñ>�? ÿ Ë�ºf� K ������@�ö�é�»��l¿é��B3%$ Ì C 3�Ì�F�Ö�G K d�e K þ/3Dë ü I ËX�XÐ Ì 6�å�æÕùXÐ K èé $5» üBý�þcÿ ËX�XÐ�ç Ì Ö%Ë ºf� K >�?)½���� ì�ùXÐDñ�úÛ¹! #"�ç�$�Ë�º3.2 % &('*)+#, ÿ Ë%ñ�$�öXê�â.-��/��/10�2 Ì�3�4�5#6 ü87 ê ö.º�9�:�;�ö�<>=@?5½ IRAF Ì $�Ë�º
1. 5 Ò�/BA.C�D ü Ó�ÔE;BâGFIH.J�K�Í�A.C�D�=���C�L ü�M Ø ÿ Ë�º2. N�O�/P�Q�CBRS-T=�UI�T?V=���C�L��� 1 Ì M Ø@; öBA.C�D�=���C�L ü�WYXSZ
26
3. 2 Ì M Ø@;�ö�=�U��T? ü Ó�ÔE;Bâ�FIH.J�K�Í�-������[;>=�U��T?V=���C.L ü\M Ø ÿ Ë Z4. AGC�D W Ö8]�/�N�O�/.Q�CBR ü 3 Ì M Ø@;�ö�=�U��T?^=���C�L ÌG_ Ë Z
3.3 `(a+#,�bIRAF / APPHOT c�dYe�R�fBDGg 7 ê ö Z 0�2 b>h�i /�òIeBñ 7kj ö Z
1.+�, ü\7 eBñ�$�ö j�l - IRAF /�mTU�n�CBR ü1o�p�Z]B/1q M / daofind g�/\r�/�s#t�- apphot g�/ +., ü87 e�ñ#$%öku imexam /�v1w��Tx ü 9�:y;^->z�{y�=��8C.LI|*ñ1} j1l d�~�r�/ FWHM( � ú�� ) - annulus( ��/\��� ) - aperture( r�/\��� )
ü\��� ö Z2. daofind
ü :Bd>-�r ü��^� s�t Z��� /������T? ú ò�u� 2 ���k��d��G/ ü r�c8����; lT��� s�t ü�7�j ö Z�� /�cG�*ñ->s�t ø ûXör ü���� ;�����r�� ý N�O���� l /�=��8C�L�gGs�t ø û�~XòBeBñ�mTU�n�CBR ü1��� ;�ö Z3. apphot
ü :Bd>-�r ü +#, ZNSV 4838, � 3 =���C�L�| ñ} j�l dB~����#r�� ý N�O ü���� +#, ;�ö Z
3.4 (¡£¢¥¤§¦©¨+>, ü ;Bö1����r�� ý N�OB/8ª#« ü � l /�¬.J�#g W �^®Y;!-V¯�°#±\² �iü ; l d��>dN.O ü s�³�;�ö Z s³I; ö��.�#r�/´�µ b RA:10h23m33.3s,Dec:+44D03’26” g�$Yu¶- � /N#O�· b 2USNO B1.0 1340-0214705g�$�~ Z�¸ ö�-#¹����kxºg�/ª�« b B2 = 15.97, R2 = 15.16 g�$ j ö Z
27
»4 ¼ ½ ¾
4.1 2005 ¿ 6 À4.1.1 ÁÃÂÅÄ�Æ
6 Ç 6 È�É�Ê 12 È ¸ g�/ ,�Ë�Ì�ÍyÎ>Ï 4.1 Ð �IÑ�Z ��O�/ ,�Ë�Ì�ÍyÎ M�ÒBÑ ~>Ó�Ð�-�Ô#Õ�Ö�C�/�Q�CBRÎ\×#Ø c#;�-��TÈ��°GÙ�/�ª�« Î ���E; l xÛÚ�Ü +14.786 -IÚ�ÖkÝVf +0.281 c�Þ#ßE;�à Z 6 Ç 12 È1/�ª�«á �Y� X � j�l d�~�/ b -#â , á>ã ¸�j�l dB~.É�Ê�g�ä�~�c8å�æYÊ�ç�~ Z 6 È\É�Ê 9 È ¸ gB/ 4 ȱ�/�â,#è�b0.09mag d−1 g�ä j à Z SU UMa é#ê�ë#r�/ plateau ìI±�/�í�î�ï#��â ,#è�bð 0.10mag d−1 g�ä�~� c8É�Ê�å�æI~�c^- � /�°>ì b f�CGm�C�ñI�Y?¶ò�C�fó?!/�]#��ì�Ð�ä�à�~�c!ô +Yõ ç�~ Zk� / � c8É�Ê>�
12 ÈÐ�â , ; l dB~ � c á.ö�÷ g��.~ Z Ï 4.2b
6 Ç 9 È/ ,�Ë�Ì�Í g�ä�~ Z f�C�m�C�ø�ù>ú�/�û�ü áGýÊVç�~ Z
Ï4.1: 2005 þ 6 Ç 6 È�É�Ê 12 È ¸ g�/ ,�Ë�Ì�Í Z x ÿ�� HJD-2453500,y ÿ�� ª�« Z
28
Ï4.2: 2005 þ 6 Ç 9 È/ ,�Ë�Ì�Í Z x ÿ�� HJD-2453530,y ÿ�� ª�« Z
4.1.2��������� �
��� �Gâ ,kÎ ; l dB~ 2005 þ 6 Ç 12 È�/�QBCBR Î�� d�à�ú�U@?^C�ì�±�/ 6 Ç 6 È\É@Ê 9 È�Ð���d l -â , Ò�� Î�� u���d�à 669 � Î PDM � (Stellingwerf, 1978)Î :�d l�� ì��! Î 7Tj à Z#" /%$�&�- � ì b
P=0.065285d c('*)yÊ^ç�à Z ;�ÉT;V-,+ + � � - Ï 4.3 ÉyÊG� � ÉB~�òBe�Ð�--'*)TÊ�çBà � ì á�.�/ �%0@c1 e � c b g��G�#d Z SU UMa é�ê�ë�r b f�C�m�CGø�ù>ú � ì b,243 � ì]ò�u�� �65�7 dkc�d�e!û�ü á ä~ Zk� / � c8É�ÊÛô + Ñ ~�c^-�8:9Ãu�/6;GC�D�/<0 P=0.069815d /4=ye á>.4/ �,0�c 1 e � c á g���~ Z
4.2 2006 ¿ 3 ÀAAVSO /�Q�C�R.Ðiò.~�c 2006 þ 3 Ç �@? Ð�f�CGm�C�ñI��?¶ò�C�f ? ÎBA � ; l dI~ � c á � É j à Z
AAVSO É�Ê�A���ù>C�CÃx8;�à�Q�C�R Î ú�C*DT?�;�à���/ Î>Ï 4.4 Ð �BÑ�Z Ï 4.4 É�Ê>�\K�ÉI~XòBe\Ð�Q�CRB� á>E � X - ¸ à,F�G��,+ + á 7 K�ç l d��#d�à�)�H�I Ñ ~ � c b@J,K g�ä�~ Z
29
Ï4.3: PDM
� ì��4 �/-$�&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
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-$4&�g�ä�~ Z ¹EÈ�c��f�C�m�Cø�ùGú�/�û#ü á �yÊVç�~ Z 2 Ç 9 È�c 2 Ç 14 È/ ,�Ë�Ì�Í á>q ç l d�~�/ b -�Q�CBR>/-r á�s X �.É j àÉ�Ê�g�ä�~ Z�¸ à�- Ï 4.9
b ú#U[?!Cì�± Î Ñ#��l Î í�îE;V-�f�C�m�C�øYùGú � ìIg fold ;�àB��/�g�ä�~ Zt � á ð0.2 ª�g>²4Y@; l d�~�/ á K�ÉI~ Z
4.3.3��������� �:uwvyxhzw{
f�C�m�C�ø�ù>ú � ì á È!pBc\Ð}|1/�òIe\Ð�²4Y�; l dB~�/�É Î ��� à Z 0�2 b>h�i /�òBe\Ð�;�à Z1. + +yÎ 7kj à� l /�È1/� l /�f�C�m�C�ø�ù>ú�/-~��I°GÙ Î ��� ~ Z
31
Ï4.5: 2007 þ 2 Ç 7 È�É�Ê 28 È ¸ g�/ ,�Ë�Ì�Í (x ÿ�� JD-2454000 - y ÿ�� ª�« )
2. � _ /.f�C�mIC�ø�ùGú�/%~��I°�Ù ÎB� ��Ð � u¶->'l)�à.f�C�m�C�økùGú � ì Î :�d l ¹�~#�I°�Ù á ���/-~��I°GÙ�É�Êi�4���1��/�É Î 'h)�~ Z
3. '�)�àGf�CmBCøyù�ú � ì Î :�d l -<~���o � Î 3�4 jBg ��Ñ�Z Eb f�Cm�C1økù�ú./<~���o � - 1 �
�\/<� b-� ��c���d�à�°�Ù (E=0) g�ä�~ Zy� /%jIÉ�Ê�f�C�m�C�øYù>ú�/<~��I°�Ù�/,��®40 Î '*)�~ ZHJD(max) = 54139.25347 + 0.069824× E (4.2)
4. + + ;à-~#�I°�Ù (observation) É�Ê�f�C�m�C�ø�ùGú � ìIÉYÊ�'h)�à-~#�I°�Ù (calculation)Î W �8->$
& 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
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
�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-�$�& Î í�î Ñ ~ � c8g>�����,0 Î � X¶Z
q ≡M2
M1
(M2 : #r#¡ M1 : ¢�r ) (4.4)
Knigge(2006) £��<��j b ¡34
Ï4.7: PDM �4 h£-$�& 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
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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�Ͷò*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
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n 5.1: SU UMa [�\�]���d Psh-Pdot ß>à z�á�â>ã�� Oizumi et al. (2007) d^ä<y å�o§æ�ç d NSV 4838 d�ä yå�m!��è<vBJ�d����é�p ,i�-ê�ë�ì��*É�d Ø�Ù m�í D p ,*�*�§�-�+���0�����î�è<ï-Ú�Û?ܧÝd�ð ñ�µ<�Ô ,-0<�i¹����t�di´�µ�ò�ó�g&��ô�����y>��y>_t`�a§b�c�e�f�m�×*+!�F� p^Ø�Ù d�õ���ö �&J<��u*��0��|�!u)�im�÷�D*øBù,�ú�o��§û&o�Ð�ü�å�y�ý�þ�m!ÿù��������/�����iý��*�|��d§ý�þ*�� Ø � Ô����'�!�'�H� NSV 4838 ���� Ö������o����ÒÞ��¡Æd������B��� ��è � � �!�#"%$���Ô��i�'&-v���ð ñ�µ?m�ý�þ p ��v�ª o��i¶��¡Æd�������m)(�*|�)+�,#-/.#{10�ý�þ�m)2�³�<ù�uBï#?�3�4^��æ�5��6�7 SU UMa [�\�]�8&d9,<y%:�y>_`�a�b�c�d�e�f-g;�<,<y!:Byi_|`�a�b�c�d�j)=�l'm)> �-��n 5.1 o����#�3+�4?�����h�>�A@�B/C#%D#E&m��+�4F�G Ø ��Ô��i�
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43
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45