  In this work we present results of searching for satellites near the 18
Melpomene and 532 Herculina asteroids, which were predicted in 1978 from
analysis of observations at the occultation moments of HD 47239 and HR 5584 by
these asteroids respectively. In addition, we looked for satellites of the HD
47239 and HR 5584 stars. During several observational periods at the 6-m BTA
telescope (SAO RAS) we did not detect any satellites near the 18 Melpomene and
532 Herculina asteroids, and also HR 5584. In February 2016 we clearly detected
a satellite with $\rho$ $\approx$ 0.01 $\div$ 0.02 arcsec close to HD 47239.
Thus, the 18 Melpomene asteroid is likely to be single.
