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I mean those kind of stars should be very stable and barely have activity.

Their light curves should be very very flat.

Our sun, as a G type star, are not so stable. At lest there are lots of floating solar spots.

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Hipparchos numbers of the 26 most stable stars known: 2021, 2854, 5542, 16611, 19747, 24927, 32537, 38414, 42913, 45556, 50191, 57363, 71053, 73555, 74666, 76440, 74946, 90139, 94648, 96052, 10239, 102488, 104732, 111169, 116631, 118322.

Compare Hpmax and Hpmin: They differ 0.01. Standard error e_Hpmag is 0.0003 mag. There are 681 stars in the Hipparchos catalog with an amplitude of 0.01 mag.

More detail in this paper, including a link to the appropriate VizieR query.

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is there any special usage of there kind of stars except as photometric standard stars? –  questionhang May 3 at 2:52
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@questionhang My first application would be to use them as instrument calibration, too. It's not self-evident, that they are of low variability almost all their life-time. But if so, the smaller of them would be better-suited for habitable planets, since they wouldn't change their habitable zone for a long time, and wouldn't cause short-time hazards for their planets by flares or pulsation. –  Gerald May 4 at 1:12
    
Maybe we can study why stars are so inactive and the smallest variability amplitude. The stars in the paper above still have a large variability scale(0.01 Mag). We can find more in Kepler data? –  questionhang May 18 at 8:29

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