ACTA ASTRONOMICA Vol. 45 (1995) pp. 665±672
Determination of Masses of Mercury and Venus from Observations of Five Minor Planets
by G. Sitarski Space Research Center, Polish Academy of Sciences, ul. Bartycka 18a, 00-716 Warsaw, Poland e-mail: [email protected]
Received June 8, 1995
ABSTRACT
We collected 1985 astrometric observations of the ®ve minor planets: (1566) Icarus, (1620) Geographos, (1862) Apollo, (2101) Adonis and (2212) Hephaistos. The asteroids can closely approach Mercury and Venus. The observations cover the time interval from 1930 for Apollo up to 1995 for Adonis. Equations of motion of the asteroids have been integrated by the recurrent power series including all the planetary perturbations, perturbations caused by the four biggest minor planets and relativistic effects. Joining all the observational equations for the ®ve asteroids we created a set of thirty two normal equations to determine by the least squares method thirty corrections to orbital elements of the ®ve asteroids along with two corrections to the planetary masses. Thus we found the
following values of the reciprocal masses for Mercury and Venus in the solar unit mass: