Astrometric measurements of * bet LMi

Via a simultaneous fitting to both astrometric and radial velocity measurements, we give a complete and improved orbit solution with high precision. Then, the component masses are precisely determined as 2.98{+/-}0.10M{sun} and 1.92{+/-}0.04M{sun} with a relative precision of ~3%, respectively.

The orbital parallax is determined to be 19.6{+/-}0.2mas, which is two times more precise than Hipparcos parallax. With the known apparent magnitudes and magnitude difference of the components, we derive the luminosity of the components as 50.7{+/-}1.8L{sun} and 9.1{+/-}4.1L{sun}. The estimated radii of the components are 9.4{+/-}0.3R{sun} and 3.7{+/-}1.5R{sun}.