000003912 001__ 3912
000003912 005__ 20190125173755.0
000003912 037__ $$aPOSTER-2019-0037
000003912 100__ $$aTrinh, Antony
000003912 245__ $$aRevenge of the theory of figures: can it compete with concentric Maclaurin spheroids?
000003912 260__ $$c2018
000003912 269__ $$c2018-12-13
000003912 500__ $$aAGU poster reference: P43D-3801
000003912 520__ $$aThe classical theory of figures (ToF) describes the shape and gravity field of steadily rotating stars/planets and synchronously rotating moons, assuming hydrostatic equilibrium, or more generally allowing some internal differential rotation. ToF is a perturbative method based on series expansions in powers of (a parameter related to) the flattening, and converges slowly for fast-rotating bodies like Jupiter. We present here a straightforward and systematic derivation of ToF to any order based on the freely available tensor calculus package TenGSHui, and demonstrate at least seventh-order ToF for a polytropic interior model of Jupiter. By sharing our code, we hope to provide the community with an accessible introduction to ToF and a benchmarking option for alternative methods.
000003912 536__ $$aPRODEX/$$c4000120791/$$fPlanetInterior
000003912 594__ $$aNO
000003912 700__ $$aRekier, Jeremy
000003912 700__ $$aBeuthe, Mikael
000003912 773__ $$tAmerican Geophysical Union Fall Meeting, Washington D.C.
000003912 8560_ $$fmikael.beuthe@observatoire.be
000003912 85642 $$ahttps://agu.confex.com/agu/fm18/meetingapp.cgi/Paper/450840
000003912 980__ $$aCPOSTER