# Summary of K2 Program GO15001 Title: Gyrochronology and Magnetic Activity in Wide Binaries with K2 PI: Davenport, James Robert Arthur (Western Washington University) CoIs: Otani, Tomomi; Buzasi, Derek L; Oswalt, Terry D We propose to observe approximately 660 wide binary star systems with K2 to simultaneously constrain their rotation periods and flare rates. These systems will allow us to improve calibrations of the age-rotation-activity relationship for field stars across a wide range in age. Flare rates and rotation periods will be measured using previously developed toolkits, and this sample will add to the ongoing analysis of Kepler and K2 wide binary systems. Stars lose angular momentum as they age, causing their rotation periods to decline at a predictable rate. This "gyrochronology" method provides us with a means to determine stellar ages to within ~10% for Sun-like stars (Barnes 2010 ApJ 722 222). Wide binary systems help to extend the usable mass and age range for gyrochronology, and will be able to test new models of weakened magnetic braking in old field stars (e.g. van Saders et al. 2016 Nature, 529, 181). A subset of the proposed sample contains white dwarf components whose cooling ages provide a benchmark against which their main sequence companions rotation ages may be compared. Because slower rotation weakens the internal magnetic dynamo, flare rates are predicted to decline over time. As a result, older stars like the Sun exhibit very few "super flares". The detailed evolution of flare rates for main sequence stars of spectral types G, K, and M is poorly constrained, however, due to the small number of flare stars with known ages. Any wide binary component with a measurable flare rate and rotation age is extremely valuable for such calibrations. These systems will also become important benchmarks for other facets of magnetic activity, such as tracking the evolution of activity cycles and starspot filling factors. # Targets requested by this program that have been observed (183) EPIC ID, RA (J2000) [deg], Dec (J2000) [deg], magnitude, Investigation IDs 200194910, , , , GO15001|GO15003|GO15023|DELTA_SCO-LC-BRIGHT_STAR_DISC 200194911, , , , GO15001|GO15003|GO15063|GAMMA_LIB-LC-BRIGHT_STAR_DISC 200194912, , , , GO15001|GO15003|GO15021|IOTA1_LIB-LC-BRIGHT_STAR_DISC 200194913, , , , GO15001|GO15003|GO15063|41_LIB-LC-BRIGHT_STAR_DISC 200194958, , , , GO15003_LC|GO15001_LC|HD_138810-LC-BRIGHT_STAR_DISC 203604834, 237.735049, -25.571953, 9.657, GO15043_LC|GO15023_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 203752240, 237.749063, -25.058256, 8.907, GO15001_LC|GO15065_LC 204026019, 240.888882, -23.960583, 12.482, GO15074_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 204040060, 239.357267, -23.906194, 12.942, GO15043_LC|GO15023_LC|GO15001_LC|GO15020_LC|GO15065_LC 204065688, 239.122577, -23.80551, 12.192, GO15043_LC|GO15023_LC|GO15001_LC|GO15020_LC|GO15065_LC 204066097, 239.64993, -23.803804, 15.448, GO15043_LC|GO15023_LC|GO15001_LC|GO15065_LC 204069863, 238.749463, -23.788366, 9.171, GO15043_LC|GO15023_LC|GO15034_LC|GO15001_LC|GO15031_LC|GO15009_LC|GO15021_LC|GO15065_LC 204077723, 240.655797, -23.756658, 13.316, GO15001_LC|GO15052_LC 204086598, 240.186044, -23.720755, 14.369, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15065_LC 204104882, 239.333312, -23.647217, 12.145, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 204136208, 240.501737, -23.522396, 10.346, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 204174563, 238.821001, -23.371285, 12.813, GO15043_LC|GO15023_LC|GO15001_LC|GO15065_LC 204179058, 239.392953, -23.353417, 12.802, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 204210699, 240.708424, -23.230298, 10.797, GO15001_LC|GO15009_LC|GO15052_LC|GO15021_LC|GO15020_LC|GO15065_LC 204218492, 240.004094, -23.200249, 9.365, GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 204234295, 238.885151, -23.138109, 15.809, GO15043_LC|GO15023_LC|GO15001_LC|GO15065_LC 204247416, 239.458478, -23.085977, 12.581, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15065_LC 204277211, 240.420286, -22.969607, 14.499, GO15043_LC|GO15023_LC|GO15001_LC|GO15065_LC 204281213, 239.653806, -22.954233, 9.964, GO15025_LC|GO15068_LC|GO15023_LC|GO15001_LC|GO15009_LC|GO15052_LC|GO15065_LC 204282976, 240.743972, -22.9471, 13.92, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15065_LC 204328424, 238.673316, -22.766252, 6.97, GO15023_LC|GO15001_LC|GO15021_LC 204328600, 240.897931, -22.765613, 10.578, GO15043_LC|GO15023_LC|GO15001_LC|GO15020_LC|GO15065_LC 204347304, 240.543557, -22.691195, 10.847, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 204348206, 240.556485, -22.68756, 7.416, GO15023_LC|GO15001_LC|GO15021_LC 204350687, 240.356767, -22.67787, 11.284, GO15043_LC|GO15023_LC|GO15001_LC|GO15009_LC|GO15052_LC|GO15065_LC 204364515, 240.33982, -22.624035, 15.778, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15065_LC 204369652, 240.51187, -22.603918, 15.214, GO15043_LC|GO15023_LC|GO15001_LC|GO15065_LC 204406748, 240.271623, -22.458661, 12.667, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 204436170, 239.999808, -22.343551, 12.397, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 204469410, 240.866481, -22.211533, 9.293, GO15043_LC|GO15001_LC|GO15004_LC|GO15065_LC 204483334, 240.118537, -22.156357, 15.598, GO15043_LC|GO15023_LC|GO15001_LC|GO15065_LC 204525956, 240.481063, -21.98039, 7.282, GO15023_LC|GO15001_LC|GO15099_LC|GO15021_LC 204538608, 241.011812, -21.927819, 8.691, GO15041_LC|GO15063_LC|GO15001_LC|GO15044_LC|GO15009_LC|GO15021_LC|GO15065_LC|GO15044_SC 204819830, 237.640471, -20.718059, 10.085, GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 204848812, 237.874325, -20.58735, 7.802, GO15001_LC|GO15099_LC|GO15021_LC 249114143, 231.288703, -26.752991, 7.346, GO15001_LC 249119720, 233.67507, -26.684154, 10.096, GO15043_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249121916, 233.131592, -26.657097, 9.172, GO15023_LC|GO15074_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249124752, 231.375513, -26.62335, 9.179, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249126470, 237.491249, -26.601662, 9.248, GO15001_LC|GO15065_LC 249132429, 237.666884, -26.529469, 8.163, GO15010_LC|GO15001_LC|GO15004_LC|GO15065_LC|GO15010_SC 249135451, 234.27869, -26.492388, 7.462, GO15001_LC|GO15099_LC|GO15021_LC 249141091, 230.399157, -26.423943, 12.036, GO15001_LC|GO15009_LC|GO15021_LC|GO15020_LC|GO15083_LC|GO15065_LC 249145237, 234.462385, -26.370773, 9.972, GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249157390, 235.715377, -26.219547, 9.914, GO15074_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249162844, 229.884818, -26.150365, 9.447, GO15001_LC|GO15021_LC|GO15065_LC 249165080, 235.464539, -26.121592, 11.781, GO15001_LC|GO15065_LC 249173165, 230.804644, -26.018862, 9.916, GO15043_LC|GO15023_LC|GO15034_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249174457, 237.337487, -26.001732, 10.741, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 249175911, 230.127086, -25.982661, 11.044, GO15001_LC|GO15009_LC 249201701, 234.415485, -25.654316, 9.248, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249220000, 235.798175, -25.415591, 7.252, GO15001_LC|GO15028_LC|GO15021_LC 249221153, 232.879512, -25.40089, 15.619, GO15001_LC|GO15065_LC|GO15039_LC 249222494, 236.055611, -25.3831, 12.301, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 249226651, 236.781121, -25.329671, 10.751, GO15074_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 249226840, 236.776645, -25.327343, 13.315, GO15074_LC|GO15001_LC|GO15052_LC|GO15065_LC 249235393, 237.013736, -25.215614, 8.385, GO15023_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249240082, 232.518772, -25.152949, 12.435, GO15041_LC|GO15074_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15020_LC|GO15083_LC|GO15065_LC 249243715, 233.775953, -25.10561, 8.651, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249253508, 230.058459, -24.977073, 9.418, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249263090, 235.972579, -24.850975, 10.67, GO15001_LC|GO15009_LC|GO15021_LC|GO15020_LC|GO15065_LC 249277074, 229.723979, -24.666303, 9.912, GO15043_LC|GO15023_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249277953, 235.821603, -24.654446, 9.726, GO15001_LC|GO15021_LC|GO15065_LC 249326856, 228.322546, -24.008319, 6.583, GO15001_LC|GO15021_LC 249347499, 228.499976, -23.748364, 14.097, GO15074_LC|GO15001_LC|GO15005_LC|GO15083_LC|GO15065_LC 249351003, 227.54153, -23.703159, 9.983, GO15063_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15052_LC|GO15021_LC|GO15065_LC 249352138, 231.373465, -23.687282, 8.542, GO15001_LC|GO15021_LC|GO15065_LC 249353396, 231.281892, -23.671263, 8.359, GO15010_LC|GO15063_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC|GO15010_SC 249354885, 234.299579, -23.651563, 9.178, GO15001_LC|GO15065_LC 249356980, 230.566355, -23.624591, 9.388, GO15001_LC|GO15052_LC|GO15065_LC 249371225, 232.76282, -23.437422, 9.229, GO15034_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249371932, 230.753997, -23.428553, 9.988, GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249373956, 233.990843, -23.401282, 11.964, GO15043_LC|GO15023_LC|GO15001_LC|GO15052_LC|GO15065_LC 249375475, 229.471717, -23.381033, 10.838, GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249377122, 231.224381, -23.359577, 8.14, GO15063_LC|GO15001_LC|GO15028_LC|GO15021_LC|GO15065_LC 249389183, 232.330324, -23.201483, 14.949, GO15001_LC|GO15005_LC|GO15083_LC|GO15065_LC 249393512, 231.35493, -23.144497, 11.695, GO15001_LC|GO15052_LC|GO15065_LC 249404087, 233.590876, -23.000846, 9.757, GO15001_LC|GO15044_LC|GO15038_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC|GO15044_SC 249424713, 227.500939, -22.720786, 8.696, GO15001_LC|GO15009_LC|GO15028_LC|GO15065_LC 249433928, 226.936044, -22.595968, 13.281, GO15041_LC|GO15001_LC|GO15052_LC|GO15005_LC|GO15021_LC|GO15083_LC|GO15065_LC 249437601, 226.210741, -22.547157, 10.072, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15083_LC|GO15065_LC 249443468, 228.590654, -22.470021, 8.934, GO15001_LC|GO15065_LC 249444578, 229.368928, -22.456035, 13.105, GO15074_LC|GO15001_LC|GO15065_LC 249471794, 227.090096, -22.097615, 8.568, GO15001_LC|GO15065_LC 249473264, 227.770172, -22.077703, 8.909, GO15001_LC|GO15009_LC|GO15028_LC|GO15065_LC 249473476, 234.522377, -22.075085, 9.994, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249476249, 226.533845, -22.03849, 14.684, GO15041_LC|GO15001_LC|GO15065_LC 249481830, 233.043053, -21.966822, 7.339, GO15023_LC|GO15001_LC|GO15099_LC|GO15021_LC 249482420, 229.894102, -21.959374, 11.707, GO15001_LC|GO15009_LC|GO15021_LC|GO15083_LC|GO15065_LC 249484793, 231.344089, -21.929247, 7.581, GO15023_LC|GO15001_LC|GO15052_LC|GO15004_LC 249500746, 227.257431, -21.725385, 9.26, GO15063_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249540223, 236.880228, -21.233664, 8.56, GO15001_LC|GO15065_LC 249564824, 230.634601, -20.936731, 13.276, GO15041_LC|GO15001_LC|GO15052_LC|GO15065_LC 249575208, 235.494574, -20.807433, 15.596, GO15001_LC 249580606, 231.775905, -20.741061, 8.594, GO15010_LC|GO15063_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC|GO15010_SC 249582901, 230.639774, -20.71264, 9.518, GO15041_LC|GO15068_LC|GO15074_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249586069, 234.700207, -20.674182, 11.364, GO15001_LC|GO15052_LC|GO15004_LC|GO15065_LC 249586621, 230.41564, -20.668128, 10.492, GO15074_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15004_LC|GO15021_LC|GO15083_LC|GO15065_LC 249599650, 235.619073, -20.508326, 11.868, GO15001_LC|GO15052_LC|GO15065_LC 249602800, 236.834454, -20.469426, 7.739, GO15010_LC|GO15063_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15010_SC 249608354, 227.253562, -20.402528, 9.295, GO15001_LC|GO15028_LC|GO15021_LC|GO15065_LC 249612649, 234.577387, -20.34885, 8.288, GO15001_LC|GO15065_LC 249615577, 234.560734, -20.313501, 10.723, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15083_LC|GO15065_LC 249620304, 228.323434, -20.25434, 9.077, GO15010_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC|GO15010_SC 249625893, 233.108168, -20.182174, 9.949, GO15068_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249630630, 228.235011, -20.123155, 9.46, GO15023_LC|GO15001_LC|GO15028_LC|GO15021_LC|GO15065_LC 249636106, 236.191444, -20.05353, 9.536, GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 249642363, 230.085094, -19.97532, 10.635, GO15063_LC|GO15001_LC|GO15009_LC|GO15052_LC|GO15005_LC|GO15020_LC|GO15083_LC|GO15065_LC 249647239, 234.605653, -19.913182, 6.59, GO15081_LC|GO15063_LC|GO15001_LC|GO15028_LC|GO15021_LC|GO15081_SC 249656571, 228.071317, -19.797289, 9.735, GO15068_LC|GO15034_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15020_LC|GO15065_LC 249657333, 230.797684, -19.787812, 8.73, GO15001_LC|GO15065_LC 249658421, 227.299901, -19.77339, 10.118, GO15068_LC|GO15001_LC|GO15052_LC|GO15020_LC|GO15065_LC 249661234, 236.95738, -19.737534, 14.577, GO15001_LC 249663050, 236.086476, -19.712889, 9.143, GO15001_LC|GO15009_LC 249671261, 226.322338, -19.604659, 9.158, GO15006_LC|GO15001_LC|GO15028_LC|GO15021_LC|GO15065_LC 249676195, 226.509858, -19.541916, 13.617, GO15001_LC|GO15065_LC 249680000, 235.580708, -19.491549, 8.877, GO15068_LC|GO15063_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249707339, 236.746215, -19.133882, 9.139, GO15001_LC|GO15009_LC|GO15021_LC 249707370, 236.746355, -19.13352, 9.804, GO15001_LC|GO15009_LC|GO15065_LC 249711679, 228.185665, -19.076761, 14.875, GO15041_LC|GO15001_LC|GO15065_LC 249719832, 226.636644, -18.967626, 12.61, GO15074_LC|GO15001_LC|GO15009_LC|GO15005_LC|GO15021_LC|GO15020_LC|GO15083_LC|GO15065_LC 249721035, 237.203758, -18.951876, 13.069, GO15001_LC|GO15021_LC|GO15065_LC 249765455, 230.451332, -18.357353, 11.496, GO15001_LC|GO15028_LC|GO15065_LC 249767135, 234.305743, -18.335025, 8.285, GO15071_LC|GO15068_LC|GO15001_LC|GO15044_LC|GO15038_LC|GO15004_LC|GO15065_LC 249767335, 229.870333, -18.332308, 9.544, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249767585, 233.704208, -18.329207, 11.592, GO15001_LC|GO15004_LC|GO15065_LC 249770828, 227.708191, -18.285129, 11.391, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15083_LC|GO15065_LC 249770901, 233.207908, -18.284, 12.355, GO15041_LC|GO15001_LC|GO15009_LC|GO15005_LC|GO15083_LC|GO15065_LC 249781547, 237.513279, -18.14276, 7.566, GO15063_LC|GO15001_LC|GO15028_LC|GO15021_LC 249784733, 226.715554, -18.100208, 9.612, GO15001_LC|GO15009_LC|GO15065_LC 249792491, 234.016829, -17.994744, 10.675, GO15001_LC|GO15052_LC|GO15065_LC 249797642, 233.196695, -17.929148, 9.033, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249806541, 230.197691, -17.814084, 13.496, GO15041_LC|GO15001_LC|GO15052_LC|GO15005_LC|GO15083_LC|GO15065_LC 249809533, 237.018146, -17.7751, 9.734, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249824689, 234.136228, -17.57752, 10.755, GO15001_LC|GO15009_LC|GO15028_LC|GO15083_LC|GO15065_LC 249826001, 234.568627, -17.560099, 9.989, GO15063_LC|GO15001_LC|GO15028_LC|GO15065_LC 249835410, 232.394764, -17.440942, 6.64, GO15007_LC|GO15081_LC|GO15063_LC|GO15001_LC|GO15021_LC|GO15007_SC|GO15081_SC 249845450, 231.076875, -17.312902, 10.023, GO15043_LC|GO15068_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249861691, 236.717582, -17.108681, 7.394, GO15003_LC|GO15001_LC 249862927, 231.646287, -17.093406, 9.238, GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249870287, 233.486651, -17.002277, 8.514, GO15063_LC|GO15001_LC|GO15009_LC|GO15021_LC|GO15065_LC 249870809, 231.122592, -16.995977, 9.366, GO15074_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15065_LC 249872230, 234.259955, -16.978601, 9.705, GO15074_LC|GO15034_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15020_LC|GO15065_LC 249874527, 236.460177, -16.950748, 7.593, GO15010_LC|GO15063_LC|GO15001_LC|GO15028_LC|GO15021_LC|GO15010_SC 249875964, 234.059642, -16.931939, 9.984, GO15001_LC|GO15052_LC|GO15065_LC 249890180, 227.465807, -16.759973, 11.91, GO15001_LC|GO15021_LC|GO15065_LC 249893585, 236.242845, -16.717379, 9.16, GO15010_LC|GO15001_LC|GO15009_LC|GO15028_LC|GO15065_LC|GO15010_SC 249908157, 234.536628, -16.538827, 10.062, GO15001_LC|GO15009_LC|GO15028_LC|GO15021_LC|GO15083_LC|GO15065_LC 249912861, 226.70442, -16.48436, 6.461, GO15001_LC|GO15021_LC 249921958, 227.554533, -16.379407, 8.923, GO15010_LC|GO15025_LC|GO15068_LC|GO15063_LC|GO15001_LC|GO15076_LC|GO15009_LC|GO15065_LC|GO15010_SC 249925209, 226.644556, -16.341784, 9.27, GO15001_LC|GO15020_LC|GO15065_LC 249928835, 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