Mueller shaped satellite geodesy from its beginnings and, in particular, designed several projects for intercontinental networks of satellite triangulation. One such project (1973/74) involved the use of Doppler instrumentation aboard satellites and is considered groundbreaking.[6][7] The project's innovations were combined with the Worldwide Geometric Satellite Triangulation Program, with Hellmut Schmid as technical director, to produce the most accurate coordinate determination to date across all seas and achieved a standard deviation of approximately ±3 m, which was about 20 times more accurate than the terrestrial methods, which at the time required extremely lengthy measurements over island chains.[8]
Another among Mueller's many ideas and projects involved Satellite Laser Ranging (SLR) to investigate the geodynamics of California. Mueller proposed that for geodynamics and geodesy, instead of recording laser-distance measurements solely from numerous ground stations using signal-relaying satellites, a considerable improvement would be to integrate the ground stations with the development of an active laser-carrying satellite system with time-of-flight measurement on board. This could result in significant improvements in measurements in terms of speed and accuracy.[9] The idea had some problems with technical feasibility, but was adopted in a similar form around 1990 for the French DORIS Doppler measurement system.
At Ohio State University, Mueller was the thesis advisor for 25 doctoral students. He was the author or coauthor of 5 books and more than 220 scientific articles.[10] His 1969 book Spherical and Practical Astronomy As Applied to Geodesy[11] became a standard text. He served as an associate editor for the Journal of Geophysical Research and from 1975 to 1987 as editor-in-chief of the Bulletin Géodésique (now merged into the Journal of Geodesy).[10]
Ivan and Marianne Mueller greatly enjoyed opera, as well as orchestral and chamber music. Upon his death in 2023, he was survived by his widow, their two daughters, and four grandchildren.[1]
Mueller, Ivan I. (1963). "Geodesy and the Torsion Balance". Journal of the Surveying and Mapping Division. 89 (3): 123–155. doi:10.1061/JSUEAX.0000117.
Grafarend, Erik W.; Mueller, Ivan I.; Papo, Haim B.; Richter, Burghard (1979). "Concepts for reference frames in geodesy and geodynamics: The reference directions". Bulletin Géodésique. 53 (3): 195–213. Bibcode:1979BGeod..53..195G. doi:10.1007/BF02523950.
"Chapter 5 instrumentation". The Interdisciplinary Role of Space Geodesy. Lecture Notes in Earth Sciences. Vol. 22. 1989. pp. 131–184. doi:10.1007/BFb0049648. ISBN3-540-51161-X.
Beutler, Gerhard; Mueller, Ivan I.; Neilan, Ruth E. (1996). "The International GPS Service for Geodynamics (IGS): The Story". GPS Trends in Precise Terrestrial, Airborne, and Spaceborne Applications. International Association of Geodesy Symposia. Vol. 115. pp. 3–13. doi:10.1007/978-3-642-80133-4_1. ISBN978-3-540-60872-1.
Mueller, Ivan Istvan (1964). Introduction to satellite geodesy. New York: Frederick Ungar Publishing Co. LCCN64015693; xxi+415 pages, illustrated{{cite book}}: CS1 maint: postscript (link)[13]
Mueller, Ivan Istvan; Rockie, John D. (1966). Gravimetric and celestial geodesy; a glossary of terms. New York: F. Ungar Publishing Co. LCCN66019470; xi+129 pages, illustrated{{cite book}}: CS1 maint: postscript (link)
Mueller, Ivan Istvan (1969). Spherical and practical astronomy, as applied to geodesy. New York: F. Ungar Publishing Co. ISBN0804446679. LCCN68031453; with a contribution by Heinrich Eichhorn, xxx+615 pages{{cite book}}: CS1 maint: postscript (link); 2nd edition 1977; 615 pages)
Moritz, Helmut; Mueller, Ivan I. (1987). Earth rotation: theory and observation. New York: F. Ungar Publishing Co. ISBN0804446717. LCCN86030756; xx+617 pages, illustrated{{cite book}}: CS1 maint: postscript (link)
Mueller, Ivan I.; Zerbini, Susanna, eds. (1989). The Interdisciplinary role of space geodesy : proceedings of an international workshop held at "Ettore Majorana" Center for Scientific Culture, International School of Geodesy, Director, Enzo Boschi, Erice, Sicily, Italy, July 23-29, 1988. Lecture Notes in Earth Sciences; 22. Berlin; New York: Springer-Verlag. ISBN038751161X. LCCN89011266; xv+300 pages, illustrated{{cite book}}: CS1 maint: postscript (link)
Mueller, Ivan I.; Kołaczek, Barbara, eds. (1993). Developments in astrometry and their impact on astrophysics and geodynamics : proceedings of the 156th Symposium of the International Astronomical Union held in Shanghai, China, September 15-19, 1992. Dordrecht; Boston: Kluwer Academic. ISBN0792322371. LCCN93016750; xxxi+440 pages, illustrated{{cite book}}: CS1 maint: postscript (link)