V1159 Ori preprint Dear Colleagues, The following article is accepted for publication in PASJ (Letter). The preprint with figures is available from: http://ftp.kusastro.kyoto-u.ac.jp/pub/vsnet/preprints/V1159_Ori-cycle/ Regards, Taichi Kato === \documentclass{pasj00} \draft \begin{document} \SetRunningHead{T. Kato}{Changing Supercycle of V1159 Ori} \Received{}%{yyyy/mm/dd} \Accepted{}%{yyyy/mm/dd} \title{Changing Supercycle of the ER UMa-Type Star V1159 Ori} \author{Taichi \textsc{Kato}} \affil{Department of Astronomy, Faculty of Science, Kyoto University, Sakyou-ku, Kyoto 606-8502} \email{tkato@kusastro.kyoto-u.ac.jp} %%% end:list of authors \KeyWords{stars: cataclysmic variables --- stars: dwarf novae --- stars: individual (V1159 Ori)} \maketitle \begin{abstract} We examined the VSNET light curve of the ER UMa-type star V1159 Ori. We detected large variation of the supercycle (the interval between successive superoutbursts) between extremes of 44.6 and 53.3 d. The outburst activity was also found to decrease when the supercycle was long. The observed variation of supercycle corresponds to a variation of $\sim$40\% of mass-transfer rate from the secondary star, totally unexpected for this class of objects. We also detected a hint of $\sim$1800 d periodicity in the variation, whose period is close to what has been suggested for solar-type cycles for cataclysmic variables (CVs). If this periodicity is caused by the magnetic activity of the secondary star, this detection makes the first clear evidence of the continuing magnetic activity in the CV evolution even after crossing the period gap. This activity may partly explain still poorly understood origins of high mass-transfer rates in ER UMa-type stars. \end{abstract} \section{Introduction} ER UMa stars are a subgroup of SU UMa-type dwarf novae (for a review of dwarf novae, see \cite{osa96}), whose known members are ER UMa, V1159 Ori, RZ LMi and DI UMa. The most striking feature of ER UMa stars is the extremely short recurrence time (19--45 d) of superoutbursts (\cite{kat95}; \cite{nog95a}; \cite{nog95b}; \cite{rob95}; \cite{mis95}; \cite{kat96}). Another striking feature of ER UMa stars is the stability of supercycles, both in their lengths and outburst pattern. The best exemplification of this stability can be seen in folded light curves and $O-C$ figures presented in \citep{rob95}. The extremely short supercycle length and the stability of outburst patterns are basically explained, in the framework of the disk instability model, as a result of constant high mass-transfer rates from the secondary \citep{osa95a}. The mass-transfer rates in SU UMa-type dwarf novae are generally considered to be confined in a small range determined by the angular momentum removal by the gravitational wave radiation. The origin of high-mass transfer rates in ER UMa stars is still an open question. Some models assume irradiation effect from the hot white dwarf, which may be a result of a hypothetical recent nova eruption (the possibility was originally raised by \cite{nog95b}, see also \cite{pat98}). Examination of secular changes in supercycle in these systems would provide an essential clue in testing these hypotheses. \section{Observation and Analysis} We examined the observations posted to VSNET (http://vsnet.kusastro.kyoto-u.ac.jp/vsnet/), and found an appreciable change in one of ER UMa stars, V1159 Ori. The object has been very well sampled by many observers around the world since 1995 September (Fig. \ref{fig:figure1}). \begin{figure} \begin{center} \FigureFile(80mm,80mm){fig1.eps} \end{center} \caption{Light curve of V1159 Ori from VSNET observations. Ticks represent the start of superoutbursts as listed in Table \ref{tab:table1}}\label{fig:figure1} \end{figure} The time of the start of a superoutburst was defined as its mid-rising branch. Occasional observational gaps introduced an uncertainty of 1--2 d, but most of these superoutbursts were well sampled and the times were usually determined within an uncertainty of 1 d. Table \ref{tab:table1} lists the observed times of superoutbursts. The cycle number ($E$) represents number of supercycles since the JD 2449982 superoutburst. \begin{table} \caption{Superoutbursts of V1159 Ori}\label{tab:table1} \begin{center} \begin{tabular}{cccc} \hline JD start & cycle number & JD start & cycle number \\ \hline 2449982 & 0 & 2451110 & 25 \\ 2450072 & 2 & 2451157 & 26 \\ 2450118 & 3 & 2451202 & 27 \\ 2450161 & 4 & 2451249 & 28 \\ 2450340 & 8 & 2451295 & 29 \\ 2450386 & 9 & 2451399 & 31 \\ 2450431 & 10 & 2451450 & 32 \\ 2450475 & 11 & 2451501 & 33 \\ 2450523 & 12 & 2451559 & 34 \\ 2450574 & 13 & 2451614 & 35 \\ 2450665 & 15 & 2451667 & 36 \\ 2450714 & 16 & 2451759 & 38 \\ 2450759 & 17 & 2451812 & 39 \\ 2450803 & 18 & 2451853 & 40 \\ 2450850 & 19 & 2451896 & 41 \\ 2450892 & 20 & 2451942 & 42 \\ 2451030 & 23 & 2451987 & 43 \\ 2451070 & 24 & & \\ \hline \end{tabular} \end{center} \end{table} \vskip 3mm A regression to these times has yielded a linear ephemeris $2449962.9 + 46.82 E$. The derived supercycle length of 46.82 d is slightly longer than the 44.5 d by \cite{rob95}. Fig. \ref{fig:figure2} shows the $O-C$ diagram against this ephemeris. The most remarkable feature is the presence of large $O-C$ changes compared to \cite{rob95}. This large change is mainly caused by the increase of supercycle length between $E=29$ and $E=36$, corresponding to the period between 1999 May and 2000 May. The supercycle during interval is 53.3 d, which is 14\% longer than the long-term average. Such a large change in supercycle has not been seen in ER UMa. \begin{figure} \begin{center} \FigureFile(60mm,60mm){fig2.eps} \end{center} \caption{$O-C$ diagram of V1159 Ori superoutbursts}\label{fig:figure2} \end{figure} \section{Discussion} The long-term average of supercycle lengths in V1159 Ori being close to the minimum value predicted by \citep{osa95a}, the supercycle length near this period is expected to be insensitive to the mass-transfer rate from the secondary. If the observed change in V1159 Ori was caused by the variable mass-transfer rate, a relatively large change is necessary to reproduce the observation. Using the $\dot{M}-supercycle$ diagram in \citep{osa95a}, the supercycle of 53.3 d corresponds to a reduction of $\sim$40\% of mass-transfer rates from what is expected for a 44.5-d supercycle. The marked reduction of the superoutburst duty cycle during this period (Fig. \ref{fig:figure3}) also supports this interpretation. \begin{figure} \begin{center} \FigureFile(80mm,80mm){fig3.eps} \end{center} \caption{Folded light curves. The upper panel shows the epoch with a short supercycle length (44.59 d). The lower panel shows the epoch with a long supercycle (53.30 d) and decreased outburst activity. The duty cycle of a superoutburst (phase 0 -- 0.45 in the upper panel, phase 0 - 0.35 in the lower panel) is markedly decreased in the latter epoch.}\label{fig:figure3} \end{figure} Another observational evidence of a large period change in ER UMa stars has been reported in DI UMa \citep{fri99}. However, the extreme shortness of supercycles in DI UMa and RZ LMi requires an additional (still poorly identified) mechanism \citep{osa95b}, and its change may be of different nature. Another noteworthy feature in the observed $O-C$ diagram of V1159 Ori is the possible periodicity with a period of $\sim$38 cycles, corresponding to $\sim$1800 d, rather than a monotonous change originally proposed by \citep{rob95}, and this is contrary to the expected effect by the decreasing heating from a hypothetical recent nova eruption on a white dwarf. The observed possible long-term period is close to those observed as possible solar-type cycles in cataclysmic variables (e.g. \cite{bia88}; \cite{ak01}). If such a ``solar-type" cycle is responsible for the change in the supercycle of V1159 Ori, this may provide a promising evidence for the presence of magnetic activity in dwarf novae below the period gap, which has been usually considered to cease or to be markedly reduced when the secondary becomes fully convective after crossing the period gap. Furthermore, the continuing magnetic activity may be one of mechanisms for effectively removing the angular momentum from the binary system, with which the required high mass-transfer in ER UMa-type systems may be partly explained. \vskip 3mm The author is grateful to VSNET members, especially to Rod Stubbings, Gene Hanson, Gary Poyner, Andrew Pearce, Seiichiro Kiyota, Eddy Muyllaert, Tsutomu Watanabe and numerous observes for providing vital observations. \begin{thebibliography}{} \bibitem[Ak et al. 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