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| 1 | +% ==================================================================== |
| 2 | +%+ |
| 3 | +% NAME: |
| 4 | +% M67_special.tex |
| 5 | +% |
| 6 | +% CHAPTER: |
| 7 | +% specialsurveys.tex |
| 8 | +% |
| 9 | +% ELEVATOR PITCH: |
| 10 | +% As coeval, equidistant, and chemically homogeneous collections of stars, |
| 11 | +% open star clusters are ideal for studying the dependence of astrophysical |
| 12 | +% phenomena on the most fundamental stellar parameters - age and mass. |
| 13 | +% |
| 14 | +% AUTHORS: |
| 15 | +% Suzanne Hawley |
| 16 | +% Ruth Angus |
| 17 | +% Derek Buzasi |
| 18 | +% Jim Davenport |
| 19 | +% Mark Giampapa |
| 20 | +% Vinay Kashyap |
| 21 | +% Soren Meibom |
| 22 | +%- |
| 23 | +% ==================================================================== |
| 24 | + |
| 25 | +\section{A Mini-Survey of the Old Open Cluster M67} |
| 26 | +\def\secname{M67_special}\label{sec:\secname} |
| 27 | + |
| 28 | +\credit{suzannehawley}, |
| 29 | +\credit{ruthangus}, |
| 30 | +\credit{derekbuzasi}, |
| 31 | +\credit{jimdavenport}, |
| 32 | +\credit{markgiampapa}, |
| 33 | +\credit{vinaykashyap}, |
| 34 | +\credit{sorenmeibom}. |
| 35 | + |
| 36 | +\subsection{Introduction} |
| 37 | + |
| 38 | +As coeval, equidistant, and chemically homogeneous collections of stars, open |
| 39 | +star clusters are ideal for studying the dependence of astrophysical phenomena |
| 40 | +on the most fundamental stellar parameters - age and mass. |
| 41 | +Indeed, there are few fields in astronomy that do not rely on results from |
| 42 | +cluster studies, and clusters play a central role in establishing how stellar |
| 43 | +rotation and magnetic activity can be used to constrain the ages of stars and |
| 44 | +stellar populations. |
| 45 | +From an observational perspective, because of their angular extent they are |
| 46 | +accessible to efficient surveys in both imaging and multi-object spectroscopy. |
| 47 | +A selection of clusters representing a sequence in age can be used to |
| 48 | +establish critical empirical relationships such as the dependence of activity |
| 49 | +on rotation, the relationships between activity, rotation and stellar age, the |
| 50 | +evolution of activity cycles, and the nature and evolution of flare |
| 51 | +activity\textemdash{}an urgent area of investigation in view of the potential |
| 52 | +impacts on the structure and evolution of exoplanet atmospheres in systems |
| 53 | +with late-type host stars. |
| 54 | + |
| 55 | +Unfortunately for observers, open clusters dissipate on timescales which are |
| 56 | +generally comparable to stellar evolution timescales on the lower main |
| 57 | +sequence, so older clusters are relatively rare. |
| 58 | +In addition, most clusters lie close to the galactic plane, where determining |
| 59 | +membership is significantly complicated by the large numbers of foreground and |
| 60 | +background stars. |
| 61 | +In this document, we suggest an LSST survey of M67, an open cluster whose |
| 62 | +relative compactness, age, and location above the galactic plane combine to |
| 63 | +make it the ideal cluster for a closer look. |
| 64 | + |
| 65 | +\subsection{Science Case } |
| 66 | + |
| 67 | +The evolution of the rotation rate and magnetic activity in solar-type |
| 68 | +stars are intimately connected. Stellar rotation drives a magnetic |
| 69 | +dynamo, producing a surface magnetic field and magnetic activity which |
| 70 | +manifests as starspots, chromospheric (Ca II HK, H$\alpha$) and coronal |
| 71 | +(X-ray) emission, and flares. The magnetic field also drives a stellar |
| 72 | +wind causing angular momentum loss (\textquotedblleft{}magnetic braking'') |
| 73 | +which in turn slows the rotation rate over time, leading to decreased |
| 74 | +magnetic activity. More magnetically active stars (larger spots, stronger |
| 75 | +Ca II HK, H$\alpha$ and X-ray emission, more flares) therefore tend |
| 76 | +to be younger and to rotate faster. The rotation-age relationship |
| 77 | +is known as gyrochronology, and the correlation between rotation, |
| 78 | +age and magnetic activity for solar-type stars was first codified |
| 79 | +by Skumanich (1972). However, the decrease in rotation rate and magnetic |
| 80 | +field strength over long time-scales is poorly understood and, in |
| 81 | +some cases, hotly contested (Angus et al. 2015, Van Saders et al. |
| 82 | +2016). Recent asteroseismic data from the Kepler spacecraft have revealed |
| 83 | +that magnetic braking may cease at around solar Rossby number, implying |
| 84 | +that gyrochronology is not applicable to older stars (Van Saders 2016). |
| 85 | + |
| 86 | +In addition, the rotational behavior of lower mass stars is largely |
| 87 | +unknown due to the faintness of mid-late type M dwarfs. There is reason |
| 88 | +to believe that M dwarfs cooler than spectral type $~\mathrm{M}4$ |
| 89 | +may behave differently from the G, K and early M stars, since that |
| 90 | +spectral type marks the boundary where the star becomes fully convective, |
| 91 | +and a solar-type shell dynamo (which requires an interface region |
| 92 | +between the convective envelope and radiative core of the star) can |
| 93 | +no longer operate. Using chromospheric H$\alpha$ emission as a proxy, |
| 94 | +West et al. (2008) studied a large sample of M dwarfs from SDSS and |
| 95 | +showed that magnetic activity in mid-late M dwarfs lasts much longer |
| 96 | +than in the earlier type stars. |
| 97 | + |
| 98 | +The difficulties inherent in understanding the evolution of stellar |
| 99 | +rotation and activity on the lower main sequence are further increased |
| 100 | +by our inability to obtain accurate ages for field stars with ages |
| 101 | +comparable to that of the Sun, which appears to be just the range |
| 102 | +of ages for which our understanding of the phenomena are most suspect. |
| 103 | +While asteroseismology can address this situation with exquisite precision, |
| 104 | +it can only do so for the brighter stars accessible to space missions |
| 105 | +such as Kepler. Making use of older open clusters is a way to fill |
| 106 | +this gap. |
| 107 | + |
| 108 | +The solar-age and solar-metallicity open cluster, M67, is a benchmark |
| 109 | +cluster for understanding stellar evolution and the nature of late-type |
| 110 | +stars at solar age. M67 is unique due to its solar chemical composition, |
| 111 | +the fact that it is relatively nearby ($\sim900$ pc), and its relatively |
| 112 | +low extinction due to its location above the galactic plane. Extensive |
| 113 | +proper motion, radial velocity and photometric surveys have been carried |
| 114 | +out (e.g., Girard et al. 1989, Montgomery et al. 1993, Yadav et al. |
| 115 | +2008, Geller et al. 2015), while Giampapa et al. (2006) conducted |
| 116 | +a survey of chromospheric activity in the solar-type members of M67 |
| 117 | +which yielded interesting insights on the range of magnetic activity |
| 118 | +on sun-like stars in comparison with the range exhibited by the Sun |
| 119 | +during the sunspot cycle. ÷nehag et al. (2011) find that solar twins |
| 120 | +in M67 have photospheric spectra that are virtually indistinguishable |
| 121 | +from the Sun\textquoteright{}s at echelle resolutions. |
| 122 | + |
| 123 | +Located in the sky at approximately $\mathrm{RA}=9\mathrm{h}$ and |
| 124 | +$\mathrm{Dec}=+12^{\circ}$, M67 is an exceptionally meritorious and |
| 125 | +accessible candidate for an LSST mini-survey, which would also enable |
| 126 | +productive follow-up observations by an array of OIR facilities. LSST |
| 127 | +observations of M67 would yield data on the rotation periods and variability |
| 128 | +of its members at high precisions, particularly for dwarfs later than |
| 129 | +about K0 ($V>16$). Little is known about the nature of variability |
| 130 | +on short and long time scales for low-mass dwarfs at solar age. For |
| 131 | +example, the frequency of \textquoteleft{}superflaring\textquoteright{} |
| 132 | +at solar age could be investigated for the first time. Furthermore, |
| 133 | +the combination of LSST observations and OIR synoptic datasets for |
| 134 | +M67 would enable the characterization of the conditions of the habitable |
| 135 | +zones in late- type stars at solar age. |
| 136 | + |
| 137 | +In addition to sun-like stars, M67 includes an array of interesting |
| 138 | +objects such as blue stragglers (Shetrone \& Sandquist 2000), an AM |
| 139 | +Her star (Gilliland et al. 1991, Pasquini et al. 1994), a red straggler, |
| 140 | +two subgiants (Mathieu et al. 2003), and detected X-ray sources due |
| 141 | +to stellar coronal emission (e.g., Pasquini \& Belloni 1998). Davenport |
| 142 | +\& Sandquist (2010) found a minimum binary fraction of 45\% in the |
| 143 | +cluster. Other investigations include studies of the white dwarf cooling |
| 144 | +sequence (Richer et al. 1998), angular momentum evolution near the |
| 145 | +turnoff (Melo et al. 2001), and the behavior of key light elements |
| 146 | +such as lithium and beryllium (e.g., Randich et al. 2007). |
| 147 | + |
| 148 | + |
| 149 | +\subsection{Observing Plans } |
| 150 | + |
| 151 | +Performing the mini-survey of M67 which we advocate would require |
| 152 | +two modifications to the baseline LSST operations mode. LSST does |
| 153 | +not plan to observe as far north as $\mathrm{Dec}=+12^{\circ}$ in |
| 154 | +its main survey, but the M67 field should certainly be accessible |
| 155 | +for a mini-survey as a single pointing. Since imaging the entire cluster |
| 156 | +would require less than a single LSST field, we view this additional |
| 157 | +pointing as being of minimal inconvenience relative to the expected |
| 158 | +scientific gain. As we anticipate rotation periods ranging from $\sim\mathrm{days}$ |
| 159 | +up to several months, we would require sampling over all of these |
| 160 | +timescales, though it need not be continuous. |
| 161 | + |
| 162 | +A second potential complication is that the cluster is relatively |
| 163 | +bright. While dwarfs below about spectral K0 in M67 are fainter than |
| 164 | +the LSST bright limit of $\sim16$, the cluster G dwarfs will saturate |
| 165 | +the LSST detectors in a 15-second integration. We suggest two alternative |
| 166 | +approaches to address this issue. First, if the short exposure surveying mode |
| 167 | +suggested elsewhere in this document (Section \ref{sec:shortexp}) is adopted, |
| 168 | +then the new LSST minimum exposure time of 0.1 seconds would easily |
| 169 | +accommodate the entire M67 main sequence. Alternatively, or if the |
| 170 | +short exposure mode is not adopted, we note that work with the Kepler |
| 171 | +mission (e.g., Haas et al. 2011) has shown success using custom pixel |
| 172 | +masks to accurately perform photometry on stars as much as 6 magnitudes |
| 173 | +brighter than the saturation level. Similar techniques applied to |
| 174 | +the LSST fields should enable photometry for the G dwarfs, particularly |
| 175 | +those in less-crowded portions of the field. |
| 176 | + |
| 177 | +\navigationbar |
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