Determination of the Mass of (1) Ceres from Perturbations on (203) Pompeja and (348) May
Abstract
We collected 223 observations of Pompeja from 18791990 and 88 observations of May from 18921991 to use them for improvement of orbits of the asteroids and for determination of the mass of Ceres. We applied the recurrent power series method to integrate numerically equations of motion of Pompeja and of May as disturbed by Ceres; in the observational interval both asteroids approached Ceres closer than to 0.1 a.u. twice. We created thirteen normal equations, corresponding to 589 observational equations, to correct by the least squares method the mass of Ceres along with orbital elements of Pompeja and of May. We found the mass of Ceres equal to (4.796 pm 0.085) times 10^{10} in solar unit mass.
 Publication:

Acta Astronomica
 Pub Date:
 April 1992
 Bibcode:
 1992AcA....42..139S
 Keywords:

 Ceres Asteroid;
 Equations Of Motion;
 Planetary Mass;
 Planetary Orbits;
 Ephemerides;
 Gravitational Effects;
 Least Squares Method;
 Perturbation;
 Power Series;
 Astrophysics