Motion of Two Very Near Minor Planets


B. Popović




Motion of the center of two masses and their motion about the center results from ingtegrals (6) and (8). At the proximity the masscenter moves along a orbit which slightly deviates from elliptical one, as much less as the planets are nearer one to other, regardless the mass-relation. The motion about the center takes place in a plane which is as much stable as the mass-relation is nearer to 1, but changes can be large when it is not so. in case $\varphi < 10^{-6}r$ can occur conversion from the temporary to the long proximity, but probability is infinitesimal. More less are possibilites that then occurs a realy collision of planets (it their surfaces are very rough).