Evaluation of the influence of light pressure on the motion of an asteroid.

Computer Science

Scientific paper

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Minor Planets: Motions, Minor Planets: Radiation Pressure

Scientific paper

An efficient method is suggested for the numerical integration of a joined system of equations that describes both translatory and rotational motions of an asteroid and takes into account the effect of sunlight pressure. The system comprises both the equations of the asteroid's center of mass motion in Cartesian coordinates and those governing the evolution of the parameters that define the motion of an asteroid with respect to its center of mass. To obtain the perturbation terms in these equations, the light pressure force and torque acting upon the asteroid are averaged numerically over the rotational Euler-Poinsot motion. In order to minimize the number of subroutine calls being averaged, separate integration of the equations for the rotational and translational motion is used; the corresponding subsystems are integrated alternately on minor time intervals. Coupling of the two subsystems is provided by an approximate representation of the motion eliminated at the current stage of integration. This method is used to evaluate the effect of light pressure on the time of passage of hypothetical asteroids through the ascending nodes of their orbits.

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