Non-perturbative Hydrostatic Equilibrium by Wisdom, Jack

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The hydrostatic equilibrium and its implications on the mechanical properties of planets by M. CAPUTO, P. BALDI

“…Under the hypothesis of hydrostatic equilibrium the
 planets of the solar system are represented on the plane (J"2, w2 a?…”
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A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms * by Barsukow Wasilij, Edelmann Philipp V.F., Klingenberg Christian, Röpke Friedrich K.

“…In order to perform simulations of low Mach number flow in presence of gravity the technique from [23] is found insufficient as it is unable to cope with the presence of a hydrostatic equilibrium. Instead, a new modification of the diffusion matrix in the context of Roe-type schemes is suggested. …”
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Probing the evolution of galaxy clusters using SZ effect and non-thermal emission: First results from A1413 by Pachchigar M., Perrott Y., Parashar T.

“…Calibrating mass from intracluster medium observables such as the Sunyaev-Zel’dovich (SZ) effect is subject to uncertainty and biases because of the hydrostatic equilibrium assumption. On the other hand, merging cluster systems have been shown to exhibit radio emission which implies a link with disturbances from hydrostatic equilibrium. …”
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A comprehensive discussion for the identification of cracking points in f(R) theories of gravity by Adnan Malik, Attiya Shafaq, Tayyaba Naz, A. H. Al-khaldi

“…In this context, we developed the hydrostatic equilibrium equation for spherically symmetric spacetime with anisotropic matter configuration and subsequently employed the Krori Barua technique. …”
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Development of local density perturbation technique to identify cracking points in f(R, T) gravity by Adnan Malik, Attiya Shafaq, M. Koussour, Z. Yousaf

“…To achieve this, we developed the hydrostatic equilibrium equation for spherically symmetric spacetime with anisotropic matter configuration and subsequently applied the Krori–Barua spacetime coefficient. …”
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A machine learning method to infer clusters of galaxies mass radial profiles from mock Sunyaev-Zel’dovich maps with The Three Hundred clusters by Ferragamo A., de Andres D., Sbriglio A., Cui W., De Petris M., Yepes G., Dupuis R., Jarraya M., Lahouli I., De Luca F., Gianfagna G., Rasia E.

“…We verify the capabilities of our model by comparing it with the hydrostatic equilibrium technique, showing that it accurately recovers total mass profiles without any bias.…”
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A New Hydrodynamic Spherical Accretion Exact Solution and Its Quasi-spherical Perturbations by X. Hernandez, L. Nasser, A. Aguayo-Ortiz

“…This change allows for simple power-law solutions on the density and infall velocity fields, ranging from a cold empty freefall condition where pressure tends to zero, to a hot hydrostatic equilibrium limit with no infall velocity. As in the case of the Bondi solution, a maximum accretion rate appears. …”
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Short note: Intraterrestial stresses caused by the decreasing spin angular momentum of the Earth by Abraham Hoffer

“…The departures of the planet’s actual shape and structure from the ideal shape and structure as required by hydrostatic equilibrium may be a source of potential energy for intraterrestial and, ultimately, crustal unrest.…”
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Intraterrestial stresses caused by the decreasing spin angular momentum of the Earth by Abraham Hoffer

“…The departures of the planet's actual shape and structure from the ideal shape and structure as required by hydrostatic equilibrium may be a source of potential energy for intraterrestial and, ultimately, crustal unrest. doi: sin doi…”
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ANALYSIS OF SELF – GRAVITATING PLANETARY SATELLITES IN THE SOLAR SYSTEM by S. O. Yasenev

“…The analysis of planetary satellites as self – gravitating bodies, i.e. celestial bodies which rely on the weight of their own mass and resulting gravitational force to maintain their shape and tend to bring it closer to the hydrostatic equilibrium, was performed.…”
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Figuring Out Gas & Galaxies in Enzo (FOGGIE). VI. The Circumgalactic Medium of L ∗ Galaxies Is Supported in an Emergent, Nonhydrostatic Equilibrium by Cassandra Lochhaas, Jason Tumlinson, Molly S. Peeples, Brian W. O’Shea, Jessica K. Werk, Raymond C. Simons, James Juno, Claire Kopenhafer, Ramona Augustin, Anna C. Wright, Ayan Acharyya, Britton D. Smith

“…We investigate global hydrostatic equilibrium in the CGM using four highly resolved L ^* galaxies from the Figuring Out Gas & Galaxies in Enzo (FOGGIE) project. …”
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Early evolution of fully convective stars in scalar–tensor gravity by Débora Aguiar Gomes, Aneta Wojnar

“…Although it is known that the hydrostatic equilibrium equation is modified for scalar-tensor gravity, the consequent modifications to the early evolution phases of a star were not explored in this framework. …”
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Probing Dust Settling in Proto-planetary Disks with ALMA by Piétu Vincent, Guilloteau Stéphane, Dutrey Anne, Boehler Yann

“…Ignoring dust settling and assuming hydrostatic equilibrium when analyzing such disks biase the derived dust temperature, the radial dependency of the dust emissivity index and the surface density distribution.…”
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Anisotropic stars made of exotic matter within the complexity factor formalism by Ángel Rincón, Grigoris Panotopoulos, Ilídio Lopes

“…Taking into account the presence of anisotropies, we employ the formalism based on the complexity factor to solve the structure equations numerically, obtaining thus interior solutions describing hydrostatic equilibrium. Making use of well-established criteria we demonstrate that the solutions are well behaved and realistic. …”
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Planck and SPT cluster catalogs: A combined analysis by Salvati L.

“…Combining the two cluster catalogs we are thus able to test the hypotheses of self-similarity and hydrostatic equilibrium. We show therefore the huge potentiality of combining catalogs from different experiments, in improving the cosmological analysis and the treatment of different astrophysical and systematic uncertainties.…”
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Non-rotating and slowly rotating white dwarfs in classical physics by K. Boshkayev, J.A. Rueda, R. Ruffini, B. Zhami, Zh. Kalymova, G. Balgimbekov

“…The Hartle formalism is applied to the integration of the equations of hydrostatic equilibrium and field equations. The equations of structure have been expanded in powers of the angular velocity Ω of the white dwarf, and terms of higher order than Ω…”
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All About Dwarf Planets (Celestial Bodies) / by Nunley, Kamala, author 648238

“…More explicitly, it has to have sufficient mass to overcome its compressive strength and achieve hydrostatic equilibrium. The term dwarf planer was adopted in 2006 as part of a three-way categorization of bodies orbiting the Sun, brought about by an increase in discoveries of trans-Neptunian objects that rivaled Pluto in size, and finally precipitated by the discovery of an even more massive object, Eris. …”
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Revisiting the mechanical properties of the nucleon by Cédric Lorcé, Hervé Moutarde, Arkadiusz P. Trawiński

“…We express the conditions of hydrostatic equilibrium and stability in terms of these two and three-dimensional energy and pressure distributions. …”
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Novel applications of diffusion-driven flow by Allshouse, Michael R

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