  We present a simple algorithm, BEER, to search for a combination of the
BEaming, Ellipsoidal and the Reflection/heating periodic modulations, induced
by short-period non-transiting low-mass companions. The beaming effect is due
to the increase (decrease) of the brightness of any light source approaching
(receding from) the observer. To first order, the beaming and the
reflection/heating effects modulate the stellar brightness at the orbital
period, with phases separated by a quarter of a period, whereas the ellipsoidal
effect is modulated with the orbital first harmonic. The phase and harmonic
differences between the three modulations allow the algorithm to search for a
combination of the three effects and identify stellar candidates for low-mass
companions. The paper presents the algorithm, including an assignment of a
likelihood factor to any possible detection, based on the expected ratio of the
beaming and ellipsoidal effects, given an order-of-magnitude estimate of the
three effects. As predicted by Loeb & Gaudi (2003) and Zucker, Mazeh &
Alexander (2007), the Kepler and the CoRoT lightcurves are precise enough to
allow detection of massive planets and brown-dwarf/low-mass-stellar companions
with orbital period up to 10-30 days. To demonstrate the feasibility of the
algorithm, we bring two examples of candidates found in the first 33 days of
the Q1 Kepler lightcurves. Although we used relatively short timespan, the
lightcurves were precise enough to enable the detection of periodic effects
with amplitudes as small as one part in 10,000 of the stellar flux.
