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A few years ago, Hubbard (2012, 2013) presented an elegant, non-perturbative method, called concentric MacLaurin spheroid (CMS), to calculate with very high accuracy the gravitational moments of a rotating fluid body following a barotropic…

Earth and Planetary Astrophysics · Physics 2018-01-24 Florian Debras , Gilles Chabrier

Interior modeling of Jupiter and Saturn has advanced to a state where thousands of models are generated that cover the uncertainty space of many parameters. This approach demands a fast method of computing their gravity field and shape.…

Earth and Planetary Astrophysics · Physics 2021-11-01 N. Nettelmann , N. Movshovitz , D. Ni , J. J. Fortney , E. Galanti , Y. Kaspi , R. Helled , C. R. Mankovich , S. Bolton

We study the relationship of zonal gravity coefficients, J_2n, zonal winds, and axial moment of inertia (MoI) by constructing models for the interiors of giant planets. We employ the nonperturbative concentric Maclaurin spheroid (CMS)…

Earth and Planetary Astrophysics · Physics 2023-08-10 Burkhard Militzer , William B. Hubbard

An observation of Jupiter's tidal response is anticipated for the on-going Juno spacecraft mission. We combine self-consistent, numerical models of Jupiter's equilibrium tidal response with observed Doppler shifts from the Juno gravity…

Earth and Planetary Astrophysics · Physics 2020-03-11 Sean M Wahl , Marzia Parisi , William M Folkner , William B Hubbard , Burkhard Militzer

In anticipation of improved observational data for Jupiter's gravitational field from the Juno spacecraft, we predict the static tidal response for a variety of Jupiter interior models based on ab initio computer simulations of…

Earth and Planetary Astrophysics · Physics 2016-07-29 Sean M. Wahl , Willam B. Hubbard , Burkhard Militzer

In anticipation of new observational results for Jupiter's axial moment of inertia and gravitational zonal harmonic coefficients from the forthcoming Juno orbiter, we present a number of preliminary Jupiter interior models. We combine…

Earth and Planetary Astrophysics · Physics 2016-04-06 W. B. Hubbard , B. Militzer

The Cassini spacecraft's Grand Finale orbits provided a unique opportunity to probe Saturn's gravity field and interior structure. Doppler measurements yielded unexpectedly large values for the gravity harmonics J_6, J_8, and J_10 that…

Earth and Planetary Astrophysics · Physics 2019-07-17 B. Militzer , S. Wahl , W. B. Hubbard

With the goal of matching spacecraft measurements from Juno and Galileo missions, we construct ensembles of 2, 3, 4, 5, and 6 layer models for Jupiter's interior. All except our two layer models can match the planet's gravity field as…

Earth and Planetary Astrophysics · Physics 2024-01-23 Burkhard Militzer , William B. Hubbard

Properties of inertial modes of Jupiter are investigated for an n=1 polytropic description of the planet interior. We use the anelastic approximation to overcome the usual handicap of a severe spherical harmonics truncation. A powerful…

Astrophysics · Physics 2009-11-06 Boris Dintrans , Rachid Ouyed

The Juno spacecraft has measured Jupiter's low-order, even gravitational moments, $J_2$--$J_8$, to an unprecedented precision, providing important constraints on the density profile and core mass of the planet. Here we report on a selection…

Earth and Planetary Astrophysics · Physics 2017-07-10 S. M. Wahl , W. B. Hubbard , B. Militzer , T. Guillot , Y. Miguel , N. Movshovitz , Y. Kaspi , R. Helled , D. Reese , E. Galanti , S. Levin , J. E. Connerney , S. J. Bolton

The internal structure of Jupiter is constrained by the precise gravity field measurements by NASA's Juno mission, atmospheric data from the Galileo entry probe, and Voyager radio occultations. Not only are these observations few compared…

Earth and Planetary Astrophysics · Physics 2024-12-10 Maayan Ziv , Eli Galanti , Saburo Howard , Tristan Guillot , Yohai Kaspi

Constraining Jupiter's internal structure is crucial for understanding its formation and evolution history. Recent interior models of Jupiter that fit Juno's measured gravitational field suggest an inhomogeneous interior and potentially the…

Earth and Planetary Astrophysics · Physics 2021-03-31 Benno A. Neuenschwander , Ravit Helled , Naor Movshovitz , Jonathan J. Fortney

Heavy elements, even though its smaller constituent, are crucial to understand Jupiter formation history. Interior models are used to determine the amount of heavy elements in Jupiter interior, nevertheless this range is still subject to…

Earth and Planetary Astrophysics · Physics 2016-12-14 Yamila Miguel , Tristan Guillot , Lucile Fayon

We study the response of hot Jupiters to a static tidal perturbation using the Concentric MacLaurin Spheroid (CMS) method. For strongly irradiated planets, we first performed radiative transfer calculations to relate the planet's…

Earth and Planetary Astrophysics · Physics 2023-08-10 Sean M. Wahl , Daniel Thorngren , Tiger Lu , Burkhard Militzer

The amount and distribution of heavy elements in Jupiter gives indications on the process of its formation and evolution. Core mass and metallicity predictions however depend on the equations of state used, and on model assumptions. We…

Earth and Planetary Astrophysics · Physics 2012-05-04 Nadine Nettelmann , Andreas Becker , Bastian Holst , Ronald Redmer

Knowledge of Jupiter's deep interior would provide unique constraints on the formation of the Solar System. Measurement of its core mass and global composition would shed light on whether the planet formed by accretion or by direct…

Earth and Planetary Astrophysics · Physics 2015-05-28 Patrick Gaulme , François-Xavier Schmider , Jean Gay , Tristan Guillot , Cedric Jacob

Seismology represents a unique method to probe the interiors of giant planets. Recently, Saturn's f-modes have been indirectly observed in its rings, and there is strong evidence for the detection of Jupiter global modes by means of…

Earth and Planetary Astrophysics · Physics 2016-10-04 D. Durante , T. Guillot , L. Iess

More than 80 giant planets are known by mass and radius. Their interior structure in terms of core mass, number of layers, and composition however is still poorly known. An overview is presented about the core mass Mcore and envelope mass…

Earth and Planetary Astrophysics · Physics 2015-05-27 Nadine Nettelmann

We construct models for Jupiter's interior that match the gravity data obtained by the Juno and Galileo spacecrafts. To generate ensembles of models, we introduce a novel quadratic Monte Carlo technique that is more efficient in confining…

Earth and Planetary Astrophysics · Physics 2023-08-10 Burkhard Militzer

Physical conditions deep within planets and exoplanets have yet to be measured directly, but indirect methods can calculate them. The polytropic models are one possible solution to this problem. In the present paper, we assume that the…

Earth and Planetary Astrophysics · Physics 2022-08-15 Essam Elkholy , Mohamed I. Nouh
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