Through December and January the comet was observed by Nevil Maskelyne at the Greenwich Observatory and by Charles Messier at the Paris Observatory. Maskelyne was the last observer of the comet, his final observation taking place on 1789-02-05.
Similar possible orbits for the comet were calculated in 1789 by Pierre Méchain and in 1922 by Margaretta Palmer. Palmer considered that the orbit which best fitted the observations was an elliptical one with a period of 1,066 years.
Following the 1939 rediscovery, the comets orbit was calculated by Jens P. Möller (Copenhagen, Denmark), and Katherine P. Kaster and Thomas Bartlett (Berkeley, USA). A perihelion date of 1939-08-09 was indicated. Based on these early orbits, Leland E. Cunningham of the Harvard College Observatory suggested that the comet was likely identical with Herschel's comet of 1788.
The final calculation of the orbit, by Brian G. Marsden in 1974, used 75 positions from both apparitions of the comet in 1788 and 1939-40 in addition to perturbations by planets, and linked the two sightings, with a perihelion date of 1939-08-09 and a period of 155 years.