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Published online by Cambridge University Press: 14 August 2015
It is shown that in a sufficiently small interval there is a uniform distribution of the minimum distances between the orbit of a comet and the orbits of minor planets. It is also shown that there is a uniform distribution of the distance of the planet from the point of closest approach when the comet reaches that point. It is found that P/Daniel may collide with a microplanet of mass 4.05 × 108 g during 100 revolutions. It is possible for one of 60 short-period comets to meet during 100 revolutions a microplanet of mass 9.9 × 109 g and radius 8.6 m. The changes in reciprocal semimajor axis of a comet arising from close encounters with minor planets are also studied but found to be insignificant.