# Summary of K2 Program GO7071 Title: Rotation rates and ages of stars in wide binary systems, and a search for hierarchical triples PI: Lepine, Sebastien (Georgia State University) CoIs: Wide binary systems are of high interest for both stellar astrophysics and exoplanet research. Because they were born and ejected from the same parent star cluster, they also share the same age and chemical composition. At the same time, their large separations mean that they essentially behave like single stars, and can also be observed and studied separately. For stellar astrophysics, these systems represent a unique means of testing stellar evolution models at moderate to old ages (2-12 Gy), complementing data available for younger ages from the study of nearby star clusters or young moving groups. In particular, old wide systems are critical to test the predictions of gyrochronology, which posit a relationship between the age of a low-mass star and its rotation rate, a relationship that may prove critical for dating exoplanet systems discovered by Kepler and other surveys. This gyrochronology hypothesis can be tested by measuring the rotation rates of stars in wide pairs, and verifying that the rotation rates are correlated (which should be true regardless of what their actual ages are). Based on a search of the SUPERBLINK proper motion catalog in the fields to be observed in K2 campaigns 6 and 7, we have identified a total of 77 common proper motion (i.e. co-moving) pairs of stars with angular separations between 4 and 45 seconds of arc. Our statistical analysis indicates that at least 70% of those pairs must be physical binaries in wide orbits (with the rest being chance alignment of unrelated stars). Half the primaries in those wide systems appear to be main-sequence stars of subtypes F-G-K, with the other half consisting of M dwarfs. Most secondaries, on the other hand, appear to be main-sequence M dwarfs. We propose to use Kepler to observe there stars in wide binary pairs, and measure their rotation rates from an auto-correlation analysis of their light curves. All the pairs should be resolved on the Kepler cameras (4 arcsec pixel size), although some pairs will have overlapping point spread functions and may require pixel-by-pixel analysis. Interestingly, most pairs can also be observed in a single Kepler aperture, and thus may only need to be counted as a single target. One prediction of stellar multiplicity models is that very wide companions are often produced by dynamical relaxation in a triple systems, and thus a significant fraction of wide binaries are actually hierarchical triples, with the inner system having a high probability of being a very tight (spectroscopic or event contact) binary star; we can test this prediction in our sample by measuring the detection rate of eclipsing binaries. Relevance: this program will provide data on a set of important calibrators of stellar evolution models, which will have repercussions on the methods presently used to estimate the ages of low-mass stars - from which the ages of many exoplanet systems discovered by the Kepler mission are now evaluated. # Targets requested by this program that have been observed (165) EPIC ID, RA (J2000) [deg], Dec (J2000) [deg], magnitude, Investigation IDs 213140080, 287.7749023, -30.5814686, 15.319, GO7008_LC|GO7071_LC 213142441, 287.7745667, -30.5708046, 16.052, GO7071_LC 213275860, 287.612915, -30.0209637, 13.177, GO7008_LC|GO7071_LC 213279447, 287.6151428, -30.0071163, 6.463, GO7039_LC|GO7078_LC|GO7071_LC|GO7030_LC 213370424, 285.6184998, -29.6703892, 15.784, GO7008_LC|GO7071_LC 213370656, 285.6254883, -29.6695309, 15.785, GO7071_LC 213422772, 289.1530151, -29.4786987, 16.282, GO7071_LC|GO7043_LC 213424483, 289.1477966, -29.4725494, 14.869, GO7071_LC|GO7043_LC 213425035, 289.1327209, -29.4705296, 16.214, GO7071_LC|GO7043_LC 213449799, 291.1998901, -29.3825626, 16.155, GO7008_LC|GO7071_LC 213451696, 291.2079468, -29.3759403, 16.873, GO7071_LC 213478406, 290.7232056, -29.2823353, 14.506, GO7071_LC 213478883, 290.721405, -29.2806873, 14.506, GO7071_LC|GO7043_LC 213510591, 286.955719, -29.1710262, 15.619, GO7071_LC 213511659, 286.9688416, -29.1672554, 15.454, GO7008_LC|GO7071_LC 213548509, 286.6147766, -29.0417995, 15.378, GO7008_LC|GO7071_LC 213550243, 286.6210632, -29.0359554, 11.241, GO7086_LC|GO7071_LC|GO7030_LC 213702081, 293.2505493, -28.5408249, 17.251, GO7071_LC 213702221, 293.2481689, -28.5404835, 17.101, GO7071_LC 213785872, 285.5033569, -28.2821865, 17.924, GO7071_LC 213788852, 285.4927673, -28.2732868, 14.272, GO7071_LC 213823549, 282.213501, -28.1692181, 14.867, GO7008_LC|GO7071_LC 213823705, 282.2116089, -28.1687946, 16.255, GO7071_LC|GO7043_LC 213880846, 285.6044617, -27.9990463, 14.147, GO7008_LC|GO7071_LC 213881432, 285.6004028, -27.9972134, 14.816, GO7008_LC|GO7086_LC|GO7071_LC 213909853, 290.8534241, -27.9140244, 15.027, GO7008_LC|GO7071_LC 213910447, 290.8534241, -27.9123974, 14.909, GO7071_LC|GO7043_LC 213969972, 285.5245361, -27.7399368, 14.963, GO7071_LC 213973537, 285.5104675, -27.7298183, 18.63, GO7071_LC 214166214, 286.2832336, -27.1991062, 16.934, GO7008_LC|GO7071_LC 214166928, 286.2865906, -27.1970844, 15.991, GO7008_LC|GO7071_LC 214213527, 293.5215759, -27.0721226, 15.132, GO7008_LC|GO7071_LC 214216164, 293.532959, -27.0652008, 16.71, GO7071_LC|GO7043_LC 214245810, 292.4674377, -26.9856148, 5.28, GO7075_LC|GO7071_LC 214254518, 285.4757385, -26.9627743, 11.874, GO7008_LC|GO7086_LC|GO7030_LC|GO7071_LC|GO7032_LC 214254956, 285.479248, -26.9615192, 14.986, GO7071_LC 214324736, 285.8668213, -26.7797718, 10.331, GO7086_LC|GO7078_LC|GO7071_LC|GO7087_LC|GO7030_LC 214325153, 285.8615112, -26.7787495, 15.01, GO7008_LC|GO7086_LC|GO7071_LC 214338822, 286.3640442, -26.7432194, 15.737, GO7008_LC|GO7071_LC 214343312, 286.3728943, -26.7314816, 16.165, GO7071_LC|GO7043_LC 214372190, 293.4987183, -26.6577396, 16.385, GO7008_LC|GO7071_LC 214375709, 293.5109253, -26.6487637, 15.416, GO7071_LC 214378572, 283.6861267, -26.6414089, 14.575, GO7071_LC 214378940, 283.6847839, -26.6404648, 17.486, GO7071_LC 214396789, 293.3209229, -26.5952454, 15.614, GO7071_LC 214397213, 293.3218079, -26.5942249, 14.17, GO7071_LC 214442118, 293.2029419, -26.4823284, 15.538, GO7071_LC 214442352, 293.2043152, -26.4817448, 13.499, GO7086_LC|GO7071_LC 214455883, 286.7369995, -26.4480667, 16.112, GO7008_LC|GO7071_LC 214455932, 286.738739, -26.4479351, 16.45, GO7008_LC|GO7071_LC 214567873, 288.697052, -26.1734905, 16.159, GO7071_LC 214568250, 288.7011414, -26.1725922, 17.481, GO7071_LC 214604293, 286.5741882, -26.0839539, 11.92, GO7030_LC|GO7078_LC|GO7071_LC 214606056, 286.5700684, -26.0796356, 15.305, GO7071_LC|GO7043_LC 214760731, 280.7879639, -25.7075596, 14.595, GO7008_LC|GO7071_LC 214762524, 280.792572, -25.7033291, 13.928, GO7008_LC|GO7071_LC 214955810, 289.9942932, -25.2572765, 13.428, GO7008_LC|GO7086_LC|GO7071_LC 214957087, 289.9932251, -25.2543468, 15.64, GO7071_LC 215002935, 294.2914124, -25.1524429, 13.77, GO7071_LC 215003555, 294.2951355, -25.1510963, 17.593, GO7071_LC 215053461, 288.6922302, -25.0413723, 15.643, GO7008_LC|GO7071_LC 215054512, 288.6904297, -25.0389938, 16.394, GO7008_LC|GO7071_LC 215155852, 294.855072, -24.8174191, 17.269, GO7071_LC 215157717, 294.8548584, -24.8134327, 15.786, GO7008_LC|GO7064_LC|GO7071_LC 215215851, 283.8194885, -24.6883793, 16.901, GO7008_LC|GO7071_LC 215217498, 283.8151855, -24.6847954, 16.508, GO7008_LC|GO7071_LC 215351657, 296.0169373, -24.4002838, 16.894, GO7071_LC|GO7043_LC 215352353, 296.0142212, -24.3988552, 15.869, GO7071_LC|GO7043_LC 215359340, 285.4842529, -24.3842258, 15.02, GO7008_LC|GO7086_LC|GO7071_LC 215360311, 285.4850464, -24.3822594, 15.02, GO7008_LC|GO7071_LC 215444862, 284.4156494, -24.2050323, 12.339, GO7008_LC|GO7086_LC|GO7071_LC|GO7032_LC 215445863, 284.4151611, -24.2028599, 12.339, GO7008_LC|GO7086_LC|GO7071_LC 215465856, 295.3986816, -24.1611767, 9.926, GO7071_LC|GO7087_LC|GO7030_LC 215470682, 295.4108276, -24.1509914, 16.237, GO7071_LC 215475414, 285.3886414, -24.1411552, 9.237, GO7086_LC|GO7078_LC|GO7071_LC|GO7087_LC|GO7030_LC 215475853, 285.3980408, -24.1401539, 10.784, GO7086_LC|GO7071_LC|GO7030_LC|GO7032_LC 215509762, 287.4491577, -24.0694351, 13.695, GO7008_LC|GO7086_LC|GO7030_LC|GO7071_LC|GO7032_LC 215510130, 287.4462891, -24.0687294, 13.763, GO7008_LC|GO7086_LC|GO7071_LC|GO7032_LC 215648901, 293.6924133, -23.8037376, 11.363, GO7086_LC|GO7030_LC|GO7071_LC 215777818, 290.4805298, -23.5593166, 13.253, GO7071_LC 215779346, 290.4771729, -23.5565586, 13.653, GO7071_LC 215808139, 284.6425171, -23.5028038, 12.084, GO7086_LC|GO7071_LC|GO7085_LC|GO7028_LC 215809028, 284.6434631, -23.5010471, 12.084, GO7071_LC|GO7028_LC 215819551, 293.824646, -23.4808807, 15.426, GO7071_LC 215819745, 293.8231201, -23.4805355, 17.069, GO7071_LC 215861293, 293.2015991, -23.4028225, 16.946, GO7071_LC 215864012, 293.1972961, -23.3978119, 11.547, GO7086_LC|GO7030_LC|GO7071_LC 215920131, 285.2880859, -23.293745, 13.464, GO7071_LC 215920253, 285.2868652, -23.29352, 11.19, GO7086_LC|GO7078_LC|GO7071_LC|GO7085_LC|GO7087_LC|GO7030_LC 215942579, 281.2767639, -23.2525501, 10.622, GO7086_LC|GO7071_LC|GO7085_LC|GO7030_LC 215969058, 288.8433228, -23.2030144, 11.578, GO7008_LC|GO7086_LC|GO7064_LC|GO7060_LC|GO7071_LC|GO7085_LC 215969849, 288.8426208, -23.2015457, 11.74, GO7008_LC|GO7078_LC|GO7071_LC|GO7016_LC 216091826, 287.8502502, -22.9768867, 11.027, GO7071_LC|GO7032_LC 216097036, 287.8517761, -22.9672813, 15.363, GO7071_LC 216158095, 290.374176, -22.8562851, 14.699, GO7071_LC|GO7043_LC 216305210, 291.4246521, -22.5870323, 17.241, GO7071_LC 216308749, 291.4365234, -22.5805187, 15.85, GO7071_LC 216368635, 291.3533325, -22.4729691, 15.88, GO7071_LC|GO7043_LC 216375623, 291.3564758, -22.4603863, 14.84, GO7008_LC|GO7086_LC|GO7071_LC 216480905, 285.3798218, -22.2712154, 16.881, GO7071_LC 216612994, 282.9135742, -22.0355644, 16.856, GO7071_LC 216613513, 282.9128418, -22.0346012, 15.547, GO7008_LC|GO7071_LC 216760771, 280.2209473, -21.7731915, 11.699, GO7030_LC|GO7071_LC|GO7016_LC 216761103, 280.222229, -21.7726059, 15.756, GO7071_LC 216944695, 283.6197815, -21.4457264, 14.517, GO7008_LC|GO7071_LC 216945042, 283.6168823, -21.4450741, 14.107, GO7008_LC|GO7086_LC|GO7071_LC 217131641, 284.7552795, -21.1159363, 14.588, GO7008_LC|GO7071_LC 217133591, 284.7502136, -21.1124535, 14.883, GO7008_LC|GO7071_LC 217149095, 290.726532, -21.0852127, 17.951, GO7071_LC 217151782, 290.7419128, -21.0805702, 14.461, GO7008_LC|GO7086_LC|GO7071_LC 217273777, 286.7255249, -20.8640003, 13.872, GO7008_LC|GO7086_LC|GO7071_LC|GO7032_LC 217275486, 286.7271729, -20.8610744, 17.221, GO7071_LC 217449001, 289.3797302, -20.5562859, 13.786, GO7008_LC|GO7071_LC|GO7032_LC 217449207, 289.3693848, -20.5559292, 16.842, GO7008_LC|GO7071_LC 217510365, 284.2200623, -20.4483967, 15.856, GO7071_LC 217511135, 284.2200623, -20.4469395, 11.792, GO7086_LC|GO7030_LC|GO7071_LC|GO7087_LC 217563117, 289.8239441, -20.356245, 15.073, GO7008_LC|GO7071_LC 217568894, 289.8320923, -20.3460083, 14.566, GO7008_LC|GO7086_LC|GO7071_LC|GO7032_LC 217640116, 284.6170349, -20.2212563, 16.336, GO7008_LC|GO7071_LC 217643368, 284.6090698, -20.2154808, 13.853, GO7071_LC|GO7043_LC 217742774, 289.2821045, -20.0408955, 16.506, GO7071_LC|GO7043_LC 217748677, 289.2895203, -20.0304203, 16.321, GO7071_LC|GO7043_LC 217808270, 285.9429626, -19.9257259, 15.506, GO7008_LC|GO7071_LC 217808749, 285.9443665, -19.9249363, 14.786, GO7008_LC|GO7071_LC 217810067, 287.7167053, -19.922699, 14.132, GO7008_LC|GO7071_LC 217810643, 287.7130127, -19.9216862, 17.292, GO7071_LC 217943171, 288.4318542, -19.6881657, 13.629, GO7071_LC 217943233, 288.4342041, -19.688036, 12.752, GO7086_LC|GO7030_LC|GO7071_LC|GO7043_LC 218000946, 290.7049866, -19.5861015, 15.752, GO7071_LC 218001465, 290.7152405, -19.585144, 16.806, GO7008_LC|GO7071_LC 218007114, 291.5867004, -19.5750389, 16.122, GO7071_LC 218011080, 291.5868225, -19.5680466, 15.539, GO7071_LC 218157849, 292.5573425, -19.3079224, 14.352, GO7008_LC|GO7071_LC 218158210, 292.5548096, -19.3072777, 15.836, GO7008_LC|GO7071_LC 218321796, 293.4167786, -19.012886, 13.729, GO7064_LC|GO7071_LC 218322319, 293.4187622, -19.0119438, 15.006, GO7071_LC 218390075, 292.0463562, -18.8893909, 16.924, GO7071_LC 218390280, 292.0452271, -18.8889751, 15.282, GO7008_LC|GO7071_LC 218418892, 291.8909912, -18.8372211, 15.706, GO7008_LC|GO7071_LC 218419198, 291.8948975, -18.8366699, 17.151, GO7071_LC|GO7043_LC 218588389, 293.6943054, -18.5288982, 14.761, GO7008_LC|GO7071_LC 218588905, 293.6937866, -18.5279751, 15.494, GO7071_LC 218719317, 290.374939, -18.2839565, 13.039, GO7071_LC 218719475, 290.3733215, -18.2836227, 14.197, GO7071_LC 218791699, 282.9736023, -18.146492, 15.271, GO7008_LC|GO7071_LC 218793584, 282.9781189, -18.1430168, 12.389, GO7086_LC|GO7030_LC|GO7071_LC 218887112, 285.2824402, -17.9652519, 13.5, GO7071_LC 218891022, 285.2903748, -17.9581909, 16.585, GO7071_LC 219083231, 287.5665588, -17.5624695, 17.258, GO7071_LC|GO7043_LC 219086814, 287.5679932, -17.5546875, 15.873, GO7008_LC|GO7071_LC 219194246, 285.8199158, -17.3185768, 16.228, GO7008_LC|GO7071_LC 219196011, 285.8217773, -17.3145695, 15.894, GO7071_LC 219277918, 284.8327332, -17.1289234, 16.768, GO7008_LC|GO7071_LC 219282297, 284.8222046, -17.119133, 11.04, GO7086_LC|GO7071_LC|GO7016_LC|GO7030_LC 219321806, 288.2439575, -17.0274296, 15.929, GO7008_LC|GO7071_LC 219322196, 288.2409668, -17.0266113, 17.388, GO7071_LC 219353562, 285.2019348, -16.9535942, 15.956, GO7008_LC|GO7071_LC 219354516, 285.2038269, -16.9513931, 15.368, GO7008_LC|GO7071_LC 219387386, 286.0777893, -16.8735466, 13.013, GO7008_LC|GO7071_LC 219387572, 286.0818481, -16.8731537, 13.475, GO7008_LC|GO7086_LC|GO7071_LC 219538570, 287.5864258, -16.5002441, 17.026, GO7071_LC 219538579, 287.5840454, -16.5002117, 13.68, GO7008_LC|GO7086_LC|GO7071_LC 229228353, , , , GO7071_LC 229228361, , , , GO7071_LC 229228370, , , , GO7071_LC