THE spectacular 'string-of-pearls' appearance of periodic comet Shoema
ker-Levy 9 (1993e) and its impending encounter with Jupiter's atmosphe
re have caused a flurry of speculation on the likely effects of the im
pact1. The magnitudes of the predicted effects depend critically on th
e masses of the fragments composing the chain, although these are curr
ently poorly constrained. However, some limits on the comet's total si
ze, and hence mass, can be obtained by considering its dynamical histo
ry. On its previous swing past Jupiter, the comet apparently passed wi
thin the Roche limit of the planet2,3, and it therefore seems likely t
hat the present chain of about twenty nuclei was created when a single
progenitor was split by tidal forces during closest approach. Here we
describe a simple model of tidal splitting which is able to reproduce
closely both the length of the observed chain and its position angle
on the sky as a function of time. The length of the fragment chain is
directly proportional to the size of the parent object, which we estim
ate to have been only about 2 km in diameter.