|4257 Ubasti||August 23 1987|
|4558 Janesick||July 12 1988|
|6569 Ondaatje||June 22 1993|
|(9162) 1987 OA||July 29 1987|
|(11028) 1987 UW||October 18 1987|
|(11500) 1989 UR||October 28 1989|
|(12711) 1991 BB||January 19 1991|
|(16465) 1990 FV1||March 24 1990|
|(19204) 1992 ME||June 21 1992|
|(24658) 1987 UX||October 18 1987|
Working at Palomar Observatory, she has discovered a total of 15 comets, including 7 periodic comets 120P/Mueller, 131P/Mueller, 136P/Mueller, 149P/Mueller, 173P/Mueller, 188P/LINEAR-Mueller, 190P/Mueller, and 8 non-periodic comets.
She has also discovered 12 asteroids, including the Apollo asteroids 4257 Ubasti, (9162) 1987 OA, (11500) 1989 UR, (12711) 1991 BB and the Amor asteroid 6569 Ondaatje, and is the co-discoverer of two.
The Palomar Sky Survey II (POSS II) got underway in August 1985, with the first of the 14" photographic glass plates being pulled off the Palomar Schmidt Camera (now known as The Samuel Oschin telescope). Jean Mueller was hired as the Night Assistant in July of that year, and worked in the capacity as Observer/Telescope Operator for the duration. Jean took over 5500 photographic plates, and had the honor of setting the telescope and removing the very last plate from the historic Schmidt Camera on June 3, 2000, as well as discovering her very last supernova, 2000cm on that same night.
Jean spent hundreds of hours (in her spare time) scanning POSS II plates under high magnification looking for comets, fast-moving asteroids, and supernovae on an X/Y stage that held the 1 mm thick glass plates. Mueller would sometimes mark over a hundred galaxies recorded on a single POSS II plate to hunt for supernova candidates. She would then compare these plates with the first Palomar Sky Survey (POSS I) of similar fields. It was during the years of the POSS II project that Jean Mueller made all of her discoveries.
Minor Planet 4031 Mueller was named in honor of Jean Mueller for her astronomical discoveries. Discovered on February 12, 1985 by Carolyn S. Shoemaker at Palomar Observatory with the 18" Schmidt Camera, it was originally designated 1985 CL.