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We present the results of our orbital computations in support of the recentlyproposed contact-binary model for the Kreutz sungrazer system (Sekanina 2021,2022). We demonstrate that comet Ikeya-Seki (C/1965 S1) previously passedperihelion decades after the Great Comet of 1106 (X/1106 C1) and argue that,like the Great September Comet of 1882 (C/1882 R1), it evidently was a fragmentof the comet recorded by the Chinese in September 1138. The 1106 sungrazerappears instead to have been the previous appearance of the Great March Cometof 1843 (C/1843 D1). With no momentum exchange involved, fragments of a Kreutzsungrazer breaking up tidally near perihelion are shown to end up in orbitswith markedly different periods because their centers of mass are radiallyshifted by a few kilometers relative to the parent. The daylight comets of AD363, recorded by a Roman historian, are accommodated in our computations as thefirst appearance of the Kreutz sungrazers after their bilobed progenitor'sbreakup. We link the 1843-1106-363 (Lobe I) and 1882-1138-363 (Lobe II) returnsto perihelion by single nongravitational orbits and gravitationally with minorcenter-of-mass shifts acquired in fragmentation events. We also successfullymodel the motion of Aristotle's comet as the rotating progenitor that ataphelion split (at a few m/s) into the two lobes, the precursors of,respectively, the 1843 and 1882 sungrazers; and provide a 1963-1041-363 linkfor comet Pereyra (C/1963 R1). Material fatigue could contribute to sungrazers'fragmentation throughout the orbit, including aphelion. -- Continuing problemswith the nongravitational law in orbit software are noted.

The Great Comet of 1106, a Chinese Comet of 1138, and Daylight Comets in  late 363 As Key Objects in Computer Simulated History of Kreutz Sungrazer  System