THE PROPERTIES AND STABILITY OF SELF-GRAVITATING, POLYTROPIC SPHERES WITH γ = 1 TO 1.4 SPECIFIC HEAT RATIOS
We study self-gravitating, hydrostatic spheres with a polytropic equation of state P ∝ ρ^γ (where γ is the specific heat ratio of the gas), considering structures with γ ≈ 1 as a model for molecular cloud cores with small departures from isother- mality. We derive the properties (i.e., mass, radius...
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| Veröffentlicht in: | Revista mexicana de astronomía y astrofísica 2020-04, Vol.56 (1), p.55-62 |
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| creator | Raga, A. C. Osorio-Caballero, J. A. Chan, R. S. Esquivel, A. Rodrı́guez-González, A. Lora, V. Rodrı́guez Ramı́rez, J. C. |
| description | We study self-gravitating, hydrostatic spheres with a polytropic equation of state P ∝ ρ^γ (where γ is the specific heat ratio of the gas), considering structures with γ ≈ 1 as a model for molecular cloud cores with small departures from isother- mality. We derive the properties (i.e., mass, radius and center to edge density ratio) as a function of γ for the maximal stable sphere through an application of “Bonnor’s stability criterion”. We find that in the γ = 1 → 4/3 range the mass of the maximal sphere (for a given central temperature) is almost constant, and that its radius and center to edge density ratio are growing functions of γ. We therefore have maximal stable, self-gravitating spheres with similar masses, but with increasing center to edge density contrasts for increasing departures from isothermality. |
| doi_str_mv | 10.22201/ia.01851101p.2020.56.01.07 |
| format | Article |
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C. ; Osorio-Caballero, J. A. ; Chan, R. S. ; Esquivel, A. ; Rodrı́guez-González, A. ; Lora, V. ; Rodrı́guez Ramı́rez, J. C.</creator><creatorcontrib>Raga, A. C. ; Osorio-Caballero, J. A. ; Chan, R. S. ; Esquivel, A. ; Rodrı́guez-González, A. ; Lora, V. ; Rodrı́guez Ramı́rez, J. C.</creatorcontrib><description>We study self-gravitating, hydrostatic spheres with a polytropic equation of state P ∝ ρ^γ (where γ is the specific heat ratio of the gas), considering structures with γ ≈ 1 as a model for molecular cloud cores with small departures from isother- mality. We derive the properties (i.e., mass, radius and center to edge density ratio) as a function of γ for the maximal stable sphere through an application of “Bonnor’s stability criterion”. We find that in the γ = 1 → 4/3 range the mass of the maximal sphere (for a given central temperature) is almost constant, and that its radius and center to edge density ratio are growing functions of γ. 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We find that in the γ = 1 → 4/3 range the mass of the maximal sphere (for a given central temperature) is almost constant, and that its radius and center to edge density ratio are growing functions of γ. We therefore have maximal stable, self-gravitating spheres with similar masses, but with increasing center to edge density contrasts for increasing departures from isothermality.</abstract><pub>Instituto de Astronomía, UNAM</pub><doi>10.22201/ia.01851101p.2020.56.01.07</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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| title | THE PROPERTIES AND STABILITY OF SELF-GRAVITATING, POLYTROPIC SPHERES WITH γ = 1 TO 1.4 SPECIFIC HEAT RATIOS |
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