Implementation of polytropic method to study initial structures of gas giant protoplanets

Paul, Gour Chandra; Barman, Mrinal Chandra; Mohit, Abdul Al

doi:10.1016/j.nrjag.2014.10.003

Cited by 6 publications

(23 citation statements)

References 28 publications

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“…More information on polytropic models, extended to account for rotation and sometimes a core, can be found in (Hubbard 1975;Kramm et al 2011;Paul et al 2014).…”

Section: Polytropic Modelsmentioning

confidence: 99%

The nature of gas giant planets

Helled¹,

Movshovitz²,

Nettelmann³

2022

Preprint

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Revealing the true nature of the gas giant planets in our Solar System is challenging. The masses of Jupiter and Saturn are about 318 and 95 Earth masses, respectively. While they mostly consist of hydrogen and helium, the total mass and distribution of the heavier elements, which reveal information on their origin, are still unknown. Recent accurate measurements of the gravitational fields of Jupiter and Saturn together with knowledge of the behavior of planetary materials at high pressures allow us to better constrain their interiors. Updated structure models of Jupiter and Saturn suggest that both planets have complex interiors that include composition inhomogeneities, non-convective regions, and fuzzy cores. In addition, it is clear that there are significant differences between Jupiter and Saturn and that each giant planet is unique. This has direct implications for giant exoplanet characterization and for our understanding of gaseous planets as a class of astronomical objects. In this review we summarize the methods used to model giant planet interiors and recent developments in giant planet structure models.

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“…More information on polytropic models, extended to account for rotation and sometimes a core, can be found in (Hubbard 1975;Kramm et al 2011;Paul et al 2014).…”

Section: Polytropic Modelsmentioning

confidence: 99%

The nature of gas giant planets

Helled¹,

Movshovitz²,

Nettelmann³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Furthermore, we can develop suitable conditions for temperature and pressure at the surface of the protoplanet. An initial protoplanet having a cold origin definitely will have a low surface temperature [14,43]. Thus, in the first approximation, the surface temperature can be set to zero [5,15,16].…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…As in Paul et al [43], the non-dimensional form of the LE equation, a non-dimensional form of Poisson's equation for the gravitational potential of a Newtonian self-gravitating, spherically symmetric, polytropic fluid [43], with polytropic index n ¼ 1:5 can be set as…”

Section: Solution Technique Of Structure Equationsmentioning

confidence: 99%

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Solving protoplanetary structure equations using Adomian decomposition method

Paul

Khatun

Nuruzzaman

et al. 2021

Heliyon

Self Cite

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“…The equilibrium stellar models have been built by many authors e.g. [1,[6][7][8]. The first stellar models before the age of computers were polytropic models [9].…”

Section: Introductionmentioning

confidence: 99%

Equilibrium of Gravitating System of Spherical Gas-Dust Cloud

Abobaker¹

2019

ujme

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In this paper, we take several different analytical and numerical approaches to studying the equilibrium of a gravitating system of a gas-dust cloud. We consider one-dimensional self-gravitating spherically symmetric fluid flow of a gas-dust cloud. We discuss the equilibrium of the system of gas-dust cloud by using simplified analytic stellar, polytropic models. A condition for the equilibrium of the cloud in the form of a differential equation is used. Using mass density in the cloud as a given function, we obtained the corresponding pressure analytically within the cloud and determined the central pressure. In dealing with a polytropic model, we found the analytical and numerical solution of the Lane-Emden equation for the various values of the polytropic index after that, central density and central pressure were obtained. Finally, the density and pressure of the cloud for the various values of the polytropic index are calculated. The result found by the simplified analytical method and the polytropic method is compared.

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Implementation of polytropic method to study initial structures of gas giant protoplanets

Cited by 6 publications

References 28 publications

The nature of gas giant planets

The nature of gas giant planets

Solving protoplanetary structure equations using Adomian decomposition method

Equilibrium of Gravitating System of Spherical Gas-Dust Cloud

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