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We aim to present a generalized Bayesian inference method for constraining interiors of super Earths and sub-Neptunes. Our methodology succeeds in quantifying the degeneracy and correlation of structural parameters for high dimensional…

Instrumentation and Methods for Astrophysics · Physics 2017-01-09 C. Dorn , J. Venturini , A. Khan , K. Heng , Y. Alibert , R. Helled , A. Rivoldini , W. Benz

Uranus and Neptune are still poorly understood. Their gravitational fields, rotation periods, atmosphere dynamics, and internal structures are not well determined. In this paper we present empirical structure models of Uranus and Neptune…

Earth and Planetary Astrophysics · Physics 2022-03-14 Benno A. Neuenschwander , Ravit Helled

'Empirical' models (pressure vs. density) of Uranus and Neptune interiors constrained by the gravitational coefficients J_2, J_4, the planetary radii and masses, and Voyager solid-body rotation periods are presented. The empirical…

Earth and Planetary Astrophysics · Physics 2015-05-20 Ravit Helled , John D. Anderson , Morris Podolak , Gerald Schubert

We study the constraining power of a high-precision measurement of the gravity field for Uranus and Neptune, as could be delivered by a low periapse orbiter. Our study is practical, assessing the possible deliverables and limitations of…

Earth and Planetary Astrophysics · Physics 2022-03-25 Naor Movshovitz , Jonathan J. Fortney

We present improved empirical density profiles of Uranus and interpret them in terms of their temperature and composition using a new random algorithm. The algorithm to determine the temperature and composition is agnostic with respect to…

Earth and Planetary Astrophysics · Physics 2025-12-19 Luca Morf , Simon Müller , Ravit Helled

Modeling the interior of a planet is difficult because the small number of measured parameters is insufficient to constrain the many variables involved in describing the interior structure and composition. One solution is to invoke…

Earth and Planetary Astrophysics · Physics 2022-04-27 Joshua Podolak , Uri Malamud , Morris Podolak

Determining the depth of atmospheric winds in the outer planets of the Solar System is a key topic in planetary science. We provide constraints on these depths in Uranus and Neptune via the total induced Ohmic dissipation, due to the…

Earth and Planetary Astrophysics · Physics 2020-09-10 Deniz Soyuer , François Soubiran , Ravit Helled

Static structure models, which map mass-radius constraints to bulk planet composition, are frequently used to categorise exoplanets due to their computational efficiency and the high-level insight they offer into planetary properties.…

Earth and Planetary Astrophysics · Physics 2026-04-20 Harrison Nicholls , Oliver Shorttle , Tim Lichtenberg , Flavia Pascal

Aerocapture uses atmospheric drag to decelerate spacecraft and achieve orbit insertion. One of the significant risks associated with aerocapture is the uncertainty in the atmospheric density, particularly for outer planets. The paper…

Earth and Planetary Astrophysics · Physics 2023-10-17 Athul Pradeepkumar Girija

Exoplanet characterization is one of the main foci of current exoplanetary science. For super-Earths and sub-Neptunes, we mostly rely on mass and radius measurements, which allow to derive the body's mean density and give a rough estimate…

Earth and Planetary Astrophysics · Physics 2021-06-16 J. F. Otegi , C. Dorn , R. Helled , F. Bouchy , J. Haldemann , Y. Alibert

Most Markov chain Monte Carlo methods operate in discrete time and are reversible with respect to the target probability. Nevertheless, it is now understood that the use of non-reversible Markov chains can be beneficial in many contexts. In…

Methodology · Statistics 2021-02-23 Chris Sherlock , Alexandre H. Thiery

Ab initio free energy calculations are employed to derive the entropy of liquid and superionic water over a wide range of conditions in the interiors of Uranus and Neptune. The resulting adiabats are much shallower in pressure-temperature…

Earth and Planetary Astrophysics · Physics 2025-08-26 Burkhard Militzer

In the context of Monte Carlo sampling for lattice models, the complexity of the energy landscape often leads to Markov chains being trapped in local optima, thereby increasing the correlation between samples and reducing sampling…

Statistical Mechanics · Physics 2024-10-29 Jiewei Ding , Jiahao Su , Ho-Kin Tang , Wing Chi Yu

For several decades now, Bayesian inference techniques have been applied to theories of particle physics, cosmology and astrophysics to obtain the probability density functions of their free parameters. In this study, we review and compare…

High Energy Physics - Phenomenology · Physics 2025-09-03 Joshua Albert , Csaba Balazs , Andrew Fowlie , Will Handley , Nicholas Hunt-Smith , Roberto Ruiz de Austri , Martin White

Spacecraft entering Mars require precise navigation algorithms capable of accurately estimating the vehicle's position and velocity in dynamic and uncertain atmospheric environments. Discrepancies between the true Martian atmospheric…

Machine Learning · Computer Science 2024-05-22 Felipe Giraldo-Grueso , Andrey A. Popov , Renato Zanetti

Parameterized partial differential equations (PDEs) underpin the mathematical modeling of complex systems in diverse domains, including engineering, healthcare, and physics. A central challenge in using PDEs for real-world applications is…

Machine Learning · Computer Science 2026-04-07 Xuyang Li , Mahdi Masmoudi , Rami Gharbi , Nizar Lajnef , Vishnu Naresh Boddeti

A Uranus orbiter would be well positioned to detect the planet's free oscillation modes, whose frequencies can resolve questions about Uranus's weakly constrained interior. We calculate the spectra that may manifest in resonances with ring…

In favourable conditions, the density of transiting planets in multiple systems can be determined from photometry data alone. Dynamical information can be extracted from light curves, providing modelling is done self-consistently, i.e.…

Earth and Planetary Astrophysics · Physics 2018-06-06 J. M. Almenara , R. F. Díaz , C. Dorn , X. Bonfils , S. Udry

A method of the calculation of optical parameters of the nonisothermal giant planet atmospheres was developed using detailed intensity data of Raman scattering. We have used the model of Morozhenko (A.V. Morozhenko, 1997) as a baseline. In…

Astrophysics · Physics 2007-05-23 N. M. Kostogryz

It has been a common assumption of interior models that the outer planets of our solar system are convective, and that the internal temperature distributions are therefore adiabatic. This assumption is also often applied to exoplanets.…

Earth and Planetary Astrophysics · Physics 2019-06-05 Morris Podolak , Ravit Helled , Gerald Schubert
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