Variability induced motion ( VIM ) is an observable effect in simultaneous astrometric and photometric measurements caused by brightness variation in one of the components of a double source or blended image , which manifests itself as a strongly correlated shift of the optical photocenter .
We have processed the entire collection of the Kepler long-cadence light curve data looking for correlated signals in astrometry and photometry on the time basis of a quarter year .
Limiting the VIM correlation coefficient to 0.3 , VIM events are detected for 129 525 Kepler stars at least in one quarter .
Of 7305 Kepler objects of interest ( KOI ) , 4440 are detected as VIM at least once .
Known variable stars and resolved double stars have elevated rates of VIM detection .
Confident VIM occurrences are found for stars with suggested superflare events , indicating possible signal contamination .
We present a complete catalog of all quarterly VIM detections .
This catalog should be checked for such astrophysically significant events as transits of exoplanets , new eclipsing stars , and superflares of solar-type stars .