# Summary of K2 Program GO16069 Title: Long-term K2 monitoring of exotic binaries in the old star cluster M67 PI: Grindlay, Jonathan E. (Harvard) CoIs: van den Berg, Maureen The old open cluster M67 has been a long-standing benchmark for stellar evolution studies. Detailed radial-velocity and pro-permotion studies have enabled an excellent separation between cluster members and fore- or background stars. Yet, even in the resulting clean sample of cluster members, we see stars that occupy parts of the color-magnitude diagram that defy explanation in the context of the standard evolution scenarios for single and binary stars. Blue stragglers that lie beyond the main-sequence turnoff point, have been known and studied for decades, but a complete picture of their formation is still lacking. The class of red stragglers or sub-subgiants, which lie below or to the red of the base of the giant branch, is a more recent discovery; attempts to understand their origin presents us with similar challenges. While examples of these and other stellar oddities are found in other old open clusters as well, the proximity, low reddening, and large body of existing data, make M67 one of the very few clusters where we can derive an accurate and long-term characterization of these systems' properties. We propose to obtain light curves for about ten "anomalous" binaries in M67 that are known photometric variables, to complement their existing light curves obtained with a variety of instruments. By tracking the evolution in the light curves, we gain more insight in the configuration of the systems, and the physical mechanism(s) that underlie the photometric variation (magnetic spot activity versus heating, tidal-distortion or other effects). For the blue straggler S1082, the long-term tracking of the 1-day eclipse light curve provides a larger sample of eclipse timings; in turn, this enables a more accurate solution of the ephemeris and an improved measurement of the observed-minus-computed (O-C) times of the primary eclipses (compared to the initial analysis in van den Berg et al. 2001, A&A, 375, 375). This will serve to look for periodicities in the (O-C) residuals, potentially caused by the motion of the eclipsing binary around a third body, whose presence was seen in optical spectra. The dynamical link between the the third star (with an orbital period of about 1200 d; Sandquist et al. 2003) and the close eclipsing binary has not been proven, but could be established with the suggested (O-C) timing analysis. If S1082 is indeed a hierarchical triple, the complex nature of the system points at a formation scenario that involves at least five stars. For the sub-subgiant S1063, the period of the variability (about 23 d, see van den Berg 2013; confirmed by K2 campaign 5 photometry, see Nardiello et al. 2016) matches neither the spectroscopically derived orbital period, nor the expected rotation period, which makes the highly active corona that is inferred from the X-ray emission all the more puzzling. In this system, long-term monitoring of the shape and stability of the light curve constrains the processes that are active in this system. There are several more puzzling binary systems in M67 that we propose to observe in K2 Campaign 16. Each of these is interesting in its own right, but all have in common that they are valuable systems to explore so-far poorly understood paths of stellar and binary evolution. Number of targets: About 10 Methods: For the proposed targets, the new K2 light curves complement existing light curves, including those from K2 campaign 5; light curves published in van den Berg et al. 2001, van den Berg et al. 2002, and van den Berg 2013; and unpublished time-series obtained by the PI. Analyis of the combined light curves (shape/periodicity/long-term changes) using a combination of existing and custom-made software form the basis of the techniques to be used. Relevance of proposed research to this solicitation: The goals of this proposal are relevant to NASA's Strategic Goal to "explore the origin and evolution of the galaxies, stars and planets that make up our universe". # Targets requested by this program that have been observed (361) EPIC ID, RA (J2000) [deg], Dec (J2000) [deg], magnitude, Investigation IDs 200200367, , , , GO16064|GO16069|M67 200200368, , , , GO16064|GO16069|M67 200200369, , , , GO16064|GO16069|M67 200200370, , , , GO16064|GO16069|M67 200200371, , , , GO16064|GO16069|M67 200200372, , , , GO16064|GO16069|M67 200200373, , , , GO16064|GO16069|M67 200200374, , , , GO16064|GO16069|M67 200200375, , , , GO16064|GO16069|M67 200200376, , , , GO16064|GO16069|M67 200200377, , , , GO16064|GO16069|M67 200200378, , , , GO16064|GO16069|M67 200200379, , , , GO16064|GO16069|M67 200200380, , , , GO16064|GO16069|M67 200200381, , , , GO16064|GO16069|M67 200200382, , , , GO16064|GO16069|M67 200200383, , , , GO16064|GO16069|M67 200200384, , , , GO16064|GO16069|M67 200200385, , , , GO16064|GO16069|M67 200200386, , , , GO16064|GO16069|M67 200200387, , , , GO16064|GO16069|M67 200200388, , , , GO16064|GO16069|M67 200200389, , , , GO16064|GO16069|M67 200200390, , , , GO16064|GO16069|M67 200200391, , , , GO16064|GO16069|M67 200200392, , , , GO16064|GO16069|M67 200200393, , , , GO16064|GO16069|M67 200200394, , , , GO16064|GO16069|M67 200200395, , , , GO16064|GO16069|M67 200200396, , , , GO16064|GO16069|M67 200200397, , , , GO16064|GO16069|M67 200200398, , , , GO16064|GO16069|M67 200200399, , , , GO16064|GO16069|M67 200200400, , , , GO16064|GO16069|M67 200200401, , , , GO16064|GO16069|M67 200200402, , , , GO16064|GO16069|M67 200200403, , , , GO16064|GO16069|M67 200200404, , , , GO16064|GO16069|M67 200200405, , , , GO16064|GO16069|M67 200200406, , , , GO16064|GO16069|M67 200200407, , , , GO16064|GO16069|M67 200200408, , , , GO16064|GO16069|M67 200200409, , , , GO16064|GO16069|M67 200200410, , , , GO16064|GO16069|M67 200200411, , , , GO16064|GO16069|M67 200200412, , , , GO16064|GO16069|M67 200200413, , , , GO16064|GO16069|M67 200200414, , , , GO16064|GO16069|M67 200200415, , , , GO16064|GO16069|M67 200200416, , , , GO16064|GO16069|M67 200200417, , , , GO16064|GO16069|M67 200200418, , , , GO16064|GO16069|M67 200200419, , , , GO16064|GO16069|M67 200200420, , , , GO16064|GO16069|M67 200200421, , , , GO16064|GO16069|M67 200200422, , , , GO16064|GO16069|M67 200200423, , , , GO16064|GO16069|M67 200200424, , , , GO16064|GO16069|M67 200200425, , , , GO16064|GO16069|M67 200200426, , , , GO16064|GO16069|M67 200200427, , , , GO16064|GO16069|M67 200200428, , , , GO16064|GO16069|M67 200200429, , , , GO16064|GO16069|M67 200200430, , , , GO16064|GO16069|M67 200200431, , , , GO16064|GO16069|M67 200200432, , , , GO16064|GO16069|M67 200200433, , , , GO16064|GO16069|M67 200200434, , , , GO16064|GO16069|M67 200200435, , , , GO16064|GO16069|M67 200200436, , , , GO16064|GO16069|M67 200200437, , , , GO16064|GO16069|M67 200200438, , , , GO16064|GO16069|M67 200200439, , , , GO16064|GO16069|M67 200200440, , , , GO16064|GO16069|M67 200200441, , , , GO16064|GO16069|M67 200200442, , , , GO16064|GO16069|M67 200200443, , , , GO16064|GO16069|M67 200200444, , , , GO16064|GO16069|M67 200200445, , , , GO16064|GO16069|M67 200200446, , , , GO16064|GO16069|M67 200200447, , , , GO16064|GO16069|M67 200200448, , , , GO16064|GO16069|M67 200200449, , , , GO16064|GO16069|M67 200200450, , , , GO16064|GO16069|M67 200200451, , , , GO16064|GO16069|M67 200200452, , , , GO16064|GO16069|M67 200200453, , , , GO16064|GO16069|M67 200200454, , , , GO16064|GO16069|M67 200200455, , , , GO16064|GO16069|M67 200200456, , , , GO16064|GO16069|M67 200200457, , , , GO16064|GO16069|M67 200200458, , , , GO16064|GO16069|M67 200200459, , , , GO16064|GO16069|M67 200200460, , , , GO16064|GO16069|M67 200200461, , , , GO16064|GO16069|M67 200200462, , , , GO16064|GO16069|M67 200200463, , , , GO16064|GO16069|M67 200200464, , , , GO16064|GO16069|M67 200200465, , , , GO16064|GO16069|M67 200200466, , , , GO16064|GO16069|M67 200200467, , , , GO16064|GO16069|M67 200200468, , , , GO16064|GO16069|M67 200200469, , , , GO16064|GO16069|M67 200200470, , , , GO16064|GO16069|M67 200200471, , , , GO16064|GO16069|M67 200200472, , , , GO16064|GO16069|M67 200200473, , , , GO16064|GO16069|M67 200200474, , , , GO16064|GO16069|M67 200200475, , , , GO16064|GO16069|M67 200200476, , , , GO16064|GO16069|M67 200200477, , , , GO16064|GO16069|M67 200200478, , , , GO16064|GO16069|M67 200200479, , , , GO16064|GO16069|M67 200200480, , , , GO16064|GO16069|M67 200200481, , , , GO16064|GO16069|M67 200200482, , , , GO16064|GO16069|M67 200200483, , , , GO16064|GO16069|M67 200200484, , , , GO16064|GO16069|M67 200200485, , , , GO16064|GO16069|M67 200200486, , , , GO16064|GO16069|M67 200200487, , , , GO16064|GO16069|M67 200200488, , , , GO16064|GO16069|M67 200200489, , , , GO16064|GO16069|M67 200200490, , , , GO16064|GO16069|M67 200200491, , , , GO16064|GO16069|M67 200200492, , , , GO16064|GO16069|M67 200200493, , , , GO16064|GO16069|M67 200200494, , , , GO16064|GO16069|M67 200200495, , , , GO16064|GO16069|M67 200200496, , , , GO16064|GO16069|M67 200200497, , , , GO16064|GO16069|M67 200200498, , , , GO16064|GO16069|M67 200200499, , , , GO16064|GO16069|M67 200200500, , , , GO16064|GO16069|M67 200200501, , , , GO16064|GO16069|M67 200200502, , , , GO16064|GO16069|M67 200200503, , , , GO16064|GO16069|M67 200200504, , , , GO16064|GO16069|M67 200200505, , , , GO16064|GO16069|M67 200200506, , , , GO16064|GO16069|M67 200200507, , , , GO16064|GO16069|M67 200200508, , , , GO16064|GO16069|M67 200200509, , , , GO16064|GO16069|M67 200200510, , , , GO16064|GO16069|M67 200200511, , , , GO16064|GO16069|M67 200200512, , , , GO16064|GO16069|M67 200200513, , , , GO16064|GO16069|M67 200200514, , , , GO16064|GO16069|M67 200200515, , , , GO16064|GO16069|M67 200200516, , , , GO16064|GO16069|M67 200200517, , , , GO16064|GO16069|M67 200200518, , , , GO16064|GO16069|M67 200200519, , , , GO16064|GO16069|M67 200200520, , , , GO16064|GO16069|M67 200200521, , , , GO16064|GO16069|M67 200200522, , , , GO16064|GO16069|M67 200200523, , , , GO16064|GO16069|M67 200200524, , , , GO16064|GO16069|M67 200200525, , , , GO16064|GO16069|M67 200200526, , , , GO16064|GO16069|M67 200200527, , , , GO16064|GO16069|M67 200200528, , , , GO16064|GO16069|M67 200200529, , , , GO16064|GO16069|M67 200200530, , , , GO16064|GO16069|M67 200200531, , , , GO16064|GO16069|M67 200200532, , , , GO16064|GO16069|M67 200200533, , , , GO16064|GO16069|M67 200200534, , , , GO16064|GO16069|M67 200200535, , , , GO16064|GO16069|M67 200200536, , , , GO16064|GO16069|M67 200200537, , , , GO16064|GO16069|M67 200200538, , , , GO16064|GO16069|M67 200200539, , , , GO16064|GO16069|M67 200200540, , , , GO16064|GO16069|M67 200200541, , , , GO16064|GO16069|M67 200200542, , , , GO16064|GO16069|M67 200200543, , , , GO16064|GO16069|M67 200200544, , , , GO16064|GO16069|M67 200200545, , , , GO16064|GO16069|M67 200200546, , , , GO16064|GO16069|M67 200200547, , , , GO16064|GO16069|M67 200200548, , , , GO16064|GO16069|M67 200200549, , , , GO16064|GO16069|M67 200200550, , , , GO16064|GO16069|M67 200200551, , , , GO16064|GO16069|M67 200200552, , , , GO16064|GO16069|M67 200200553, , , , GO16064|GO16069|M67 200200554, , , , GO16064|GO16069|M67 200200555, , , , GO16064|GO16069|M67 200200556, , , , GO16064|GO16069|M67 200200557, , , , GO16064|GO16069|M67 200200558, , , , GO16064|GO16069|M67 200200559, , , , GO16064|GO16069|M67 200200560, , , , GO16064|GO16069|M67 200200561, , , , GO16064|GO16069|M67 200200562, , , , GO16064|GO16069|M67 200200563, , , , GO16064|GO16069|M67 200200564, , , , GO16064|GO16069|M67 200200565, , , , GO16064|GO16069|M67 200200566, , , , GO16064|GO16069|M67 200200567, , , , GO16064|GO16069|M67 200200568, , , , GO16064|GO16069|M67 200200569, , , , GO16064|GO16069|M67 200200570, , , , GO16064|GO16069|M67 200200571, , , , GO16064|GO16069|M67 200200572, , , , GO16064|GO16069|M67 200200573, , , , GO16064|GO16069|M67 200200574, , , , GO16064|GO16069|M67 200200575, , , , GO16064|GO16069|M67 200200576, , , , GO16064|GO16069|M67 200200577, , , , GO16064|GO16069|M67 200200578, , , , GO16064|GO16069|M67 200200579, , , , GO16064|GO16069|M67 200200580, , , , GO16064|GO16069|M67 200200581, , , , GO16064|GO16069|M67 200200582, , , , GO16064|GO16069|M67 200200583, , , , GO16064|GO16069|M67 200200584, , , , GO16064|GO16069|M67 200200585, , , , GO16064|GO16069|M67 200200586, , , , GO16064|GO16069|M67 200200587, , , , GO16064|GO16069|M67 200200588, , , , GO16064|GO16069|M67 200200589, , , , GO16064|GO16069|M67 200200590, , , , GO16064|GO16069|M67 200200591, , , , GO16064|GO16069|M67 200200592, , , , GO16064|GO16069|M67 200200593, , , , GO16064|GO16069|M67 200200594, , , , GO16064|GO16069|M67 200200595, , , , GO16064|GO16069|M67 200200596, , , , GO16064|GO16069|M67 200200597, , , , GO16064|GO16069|M67 200200598, , , , GO16064|GO16069|M67 200200599, , , , GO16064|GO16069|M67 200200600, , , , GO16064|GO16069|M67 200200601, , , , GO16064|GO16069|M67 200200602, , , , GO16064|GO16069|M67 200200603, , , , GO16064|GO16069|M67 200200604, , , , GO16064|GO16069|M67 200200605, , , , GO16064|GO16069|M67 200200606, , , , GO16064|GO16069|M67 200200607, , , , GO16064|GO16069|M67 200200608, , , , GO16064|GO16069|M67 200200609, , , , GO16064|GO16069|M67 200200610, , , , GO16064|GO16069|M67 200200611, , , , GO16064|GO16069|M67 200200612, , , , GO16064|GO16069|M67 200200613, , , , GO16064|GO16069|M67 200200614, , , , GO16064|GO16069|M67 200200615, , , , GO16064|GO16069|M67 200200616, , , , GO16064|GO16069|M67 200200617, , , , GO16064|GO16069|M67 200200618, , , , GO16064|GO16069|M67 200200619, , , , GO16064|GO16069|M67 200200620, , , , GO16064|GO16069|M67 200200621, , , , GO16064|GO16069|M67 200200622, , , , GO16064|GO16069|M67 200200623, , , , GO16064|GO16069|M67 200200624, , , , GO16064|GO16069|M67 200200625, , , , GO16064|GO16069|M67 200200626, , , , GO16064|GO16069|M67 200200627, , , , GO16064|GO16069|M67 200200628, , , , GO16064|GO16069|M67 200200629, , , , GO16064|GO16069|M67 200200630, , , , GO16064|GO16069|M67 200200631, , , , GO16064|GO16069|M67 200200632, , , , GO16064|GO16069|M67 200200633, , , , GO16064|GO16069|M67 200200634, , , , GO16064|GO16069|M67 200200635, , , , GO16064|GO16069|M67 200200636, , , , GO16064|GO16069|M67 200200637, , , , GO16064|GO16069|M67 200200638, , , , GO16064|GO16069|M67 200200639, , , , GO16064|GO16069|M67 200200640, , , , GO16064|GO16069|M67 200200641, , , , GO16064|GO16069|M67 200200642, , , , GO16064|GO16069|M67 200200643, , , , GO16064|GO16069|M67 200200644, , , , GO16064|GO16069|M67 200200645, , , , GO16064|GO16069|M67 200200646, , , , GO16064|GO16069|M67 200200647, , , , GO16064|GO16069|M67 200200648, , , , GO16064|GO16069|M67 200200649, , , , GO16064|GO16069|M67 200200650, , , , GO16064|GO16069|M67 200200651, , , , GO16064|GO16069|M67 200200652, , , , GO16064|GO16069|M67 200200653, , , , GO16064|GO16069|M67 200200654, , , , GO16064|GO16069|M67 200200655, , , , GO16064|GO16069|M67 200200656, , , , GO16064|GO16069|M67 200200657, , , , GO16064|GO16069|M67 200200658, , , , GO16064|GO16069|M67 200200659, , , , GO16064|GO16069|M67 200200660, , , , GO16064|GO16069|M67 200200661, , , , GO16064|GO16069|M67 200200662, , , , GO16064|GO16069|M67 200200663, , , , GO16064|GO16069|M67 200200664, , , , GO16064|GO16069|M67 200200665, , , , GO16064|GO16069|M67 200200666, , , , GO16064|GO16069|M67 200200667, , , , GO16064|GO16069|M67 200200668, , , , GO16064|GO16069|M67 200200669, , , , GO16064|GO16069|M67 200200670, , , , GO16064|GO16069|M67 200200671, , , , GO16064|GO16069|M67 200200672, , , , GO16064|GO16069|M67 200200673, , , , GO16064|GO16069|M67 200200674, , , , GO16064|GO16069|M67 200200675, , , , GO16064|GO16069|M67 200200676, , , , GO16064|GO16069|M67 200200677, , , , GO16064|GO16069|M67 200200678, , , , GO16064|GO16069|M67 200200679, , , , GO16064|GO16069|M67 200200680, , , , GO16064|GO16069|M67 200200681, , , , GO16064|GO16069|M67 200200682, , , , GO16064|GO16069|M67 200200683, , , , GO16064|GO16069|M67 200200684, , , , GO16064|GO16069|M67 200200685, , , , GO16064|GO16069|M67 200200686, , , , GO16064|GO16069|M67 200200687, , , , GO16064|GO16069|M67 200200688, , , , GO16064|GO16069|M67 200200689, , , , GO16064|GO16069|M67 200200690, , , , GO16064|GO16069|M67 200200691, , , , GO16064|GO16069|M67 200200692, , , , GO16064|GO16069|M67 200200693, , , , GO16064|GO16069|M67 200200694, , , , GO16064|GO16069|M67 200200695, , , , GO16064|GO16069|M67 200200696, , , , GO16064|GO16069|M67 200200697, , , , GO16064|GO16069|M67 200200698, , , , GO16064|GO16069|M67 200200699, , , , GO16064|GO16069|M67 200200700, , , , GO16064|GO16069|M67 200200701, , , , GO16064|GO16069|M67 200200702, , , , GO16064|GO16069|M67 200200703, , , , GO16064|GO16069|M67 200200704, , , , GO16064|GO16069|M67 200200705, , , , GO16064|GO16069|M67 200200706, , , , GO16064|GO16069|M67 200200707, , , , GO16064|GO16069|M67 200200708, , , , GO16064|GO16069|M67 200200709, , , , GO16064|GO16069|M67 200200710, , , , GO16064|GO16069|M67 200200711, , , , GO16064|GO16069|M67 200200712, , , , GO16064|GO16069|M67 200200713, , , , GO16064|GO16069|M67 200200714, , , , GO16064|GO16069|M67 200200715, , , , GO16064|GO16069|M67 200200716, , , , GO16064|GO16069|M67 200200717, , , , GO16064|GO16069|M67 200200718, , , , GO16064|GO16069|M67 200200719, , , , GO16064|GO16069|M67 200200720, , , , GO16064|GO16069|M67 200200721, , , , GO16064|GO16069|M67 200200722, , , , GO16064|GO16069|M67 200200723, , , , GO16064|GO16069|M67 200200724, , , , GO16064|GO16069|M67 200200725, , , , GO16064|GO16069|M67 200200726, , , , GO16064|GO16069|M67 211427165, 132.855432, 12.049022, 13.483, GO16031_LC|GO16052_LC|GO16064_LC|GO16065_LC|GO16069_LC