The Hypothesis of Additional Acceleration in the Motion of Comet Harrington-Abell from Jupiter

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By processing 494 observations of Comet Harrington-Abell, we obtained a unified system of elements that includes its turn around the Sun during which it closely approached Jupiter to a minimum distance of 0.037 AU in 1974. A study of the cometary orbit before and after the approach showed that, probably, at the approach of the comet to Jupiter, apart from the well-known gravitational perturbations, its motion was affected by an additional force. An improvement of the cometary orbit by assuming that an additional acceleration inversely proportional to the square of the distance to Jupiter exists in its motion yielded the following values: (4.57 +/- 0.42) × 10-10 and (-7.20 +/- 0.42) × 10-10 AU day-2 for the radial and transversal acceleration components, respectively. As a plausible explanation of the changes in the cometary orbit, we additionally considered a model based on the hypothesis of partial disintegration of the cometary nucleus. The parameter that characterizes the instant displacement of the center of inertia along the jovicentric radius vector was estimated to be -1.83 +/- 0.75 km. Based on a unified numerical theory of cometary motion, we determined the nongravitational parameters using Marsden's model for two periods: A1 = (11.68 +/- 1.74) × 10-10 AU day-2, A2 = (0.53 +/- 0.0357) × 10-10 AU day-2 for 1975-1999 and A1' = (5.92 +/- 5.86) × 10-10 AU day-2, A2' = (0.08 +/- 0.028) × 10-10 AU day-2 for 1955-1969, under the assumption that the nongravitational acceleration changed at the approach of the comet to Jupiter.

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