3912 20190125173755.0 POSTER-2019-0037 Trinh, Antony Revenge of the theory of figures: can it compete with concentric Maclaurin spheroids? 2018 2018-12-13 AGU poster reference: P43D-3801 The classical theory of figures (ToF) describes the shape and gravity field of steadily rotating stars/planets and synchronously rotating moons, assuming hydrostatic equilibrium, or more generally allowing some internal differential rotation. ToF is a perturbative method based on series expansions in powers of (a parameter related to) the flattening, and converges slowly for fast-rotating bodies like Jupiter. We present here a straightforward and systematic derivation of ToF to any order based on the freely available tensor calculus package TenGSHui, and demonstrate at least seventh-order ToF for a polytropic interior model of Jupiter. By sharing our code, we hope to provide the community with an accessible introduction to ToF and a benchmarking option for alternative methods. PRODEX/ 4000120791/ PlanetInterior NO Rekier, Jeremy Beuthe, Mikael American Geophysical Union Fall Meeting, Washington D.C. mikael.beuthe@observatoire.be https://agu.confex.com/agu/fm18/meetingapp.cgi/Paper/450840 CPOSTER