Dynamical model of motion for asteroids based on the DE405 theory

A numerical model of motion for asteroids was developed on the basis of the DE405 theory. The positions of main-belt asteroids are calculated accurate to 0.03 mas when the integration is taken over a 50-year interval. For the model to be computationally stable, the local truncation error of integration should be equal to 10−14 and the double precision of the Standard for Binary Floating-Point Arithmetic IEEE 754-1985 should be used.