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Data on perihelion fragmentation of the Great September Comet of 1882 (C/1882R1), a prominent member of the Kreutz sungrazer system, are employed toestimate the size of the nucleus along the radius vector at the time ofsplitting. The prolate-spheroidal nucleus is assumed to fragment tidally atperihelion along planes normal to this direction. The relative velocities,derived by Sekanina & Chodas (2007) from revised positional-separation data onsix fragments collected originally by Kreutz (1888) are interpreted as measuresof the Sun's differential gravitational acceleration on the centers of mass ofadjacent fragments at the time of breakup and therefore a function ofheliocentric distance. Their total of 7.8 m/s is equivalent to nearly 38 km inthe sum of distances of the centers of mass along the radius vector and to thenuclear size of about 60 km. The observed sheath of diffuse material, theremains of the crumbling part of the nucleus that ended up enveloping the trainof the six fragments, included a population of less massive fragments. They areexpected to feed, over centuries in a distant future, an influx of dwarfsungrazers reminiscent of the current stream of SOHO Kreutz comets. It isspeculated that the parent comet of C/1882 R1 experienced similar fragmentationin the early 12th century and one of its major fragments -- a bright sungrazer-- may return in the mid-21st century.

Estimating Dimensions of the Nucleus of Great September Comet of 1882 from Motions of Its Fragments