Complete census of wide visual companions to nearby G-dwarf stars can be achieved by selecting candidates from the 2MASS Point-Source Catalog and checking their status by second-epoch imaging .
Such data are obtained for 124 candidates with separations up to 20 ^ { \prime \prime } , 47 of which are shown to be new physical low-mass stellar companions .
A list of visual binaries with G-dwarf primaries is produced by combining newly found companions with historical data .
Maximum likelihood analysis leads to the companion frequency of 0.13 \pm 0.015 per decade of separation .
The mass ratio is distributed almost uniformly , with a power-law index between -0.4 and 0 .
The remaining uncertainty in the index is related to modeling of the companion detection threshold in 2MASS .
These findings are confirmed by alternative analysis of wider companions in 2MASS , removing the contamination by background stars statistically .
Extension of this work will lead to a complete detection of visual companions – a necessary step towards reaching unbiased multiplicity statistics over the full range of orbital periods and , eventually , understanding the origin of multiple systems .