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Toomre's stability criterion

Index Toomre's stability criterion

In astrophysics, Toomre's stability criterion (also known as the Safronov-Toomre criterion) is a relationship between parameters of a differentially rotating, gaseous accretion disc which can be used to determine approximately whether the system is stable. [1]

14 relations: Accretion disk, Alar Toomre, Area density, Astrophysics, Differential rotation, Epicyclic frequency, Gas, Gravitational constant, Jeans instability, Pressure, Shear force, Speed of sound, Star formation, Viktor Safronov.

Accretion disk

An accretion disk is a structure (often a circumstellar disk) formed by diffused material in orbital motion around a massive central body.

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Alar Toomre

Alar Toomre (born 5 February 1937 in Rakvere) is an Estonian-American astronomer and mathematician.

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Area density

The areal density (also known as area density, surface density, superficial density, or density thickness) of a two-dimensional object is calculated as the mass per unit area.

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Astrophysics

Astrophysics is the branch of astronomy that employs the principles of physics and chemistry "to ascertain the nature of the astronomical objects, rather than their positions or motions in space".

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Differential rotation

Differential rotation is seen when different parts of a rotating object move with different angular velocities (rates of rotation) at different latitudes and/or depths of the body and/or in time.

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Epicyclic frequency

In astrophysics, particularly the study of accretion disks, the epicyclic frequency is the frequency at which a radially displaced fluid parcel will oscillate.

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Gas

Gas is one of the four fundamental states of matter (the others being solid, liquid, and plasma).

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Gravitational constant

The gravitational constant (also known as the "universal gravitational constant", the "Newtonian constant of gravitation", or the "Cavendish gravitational constant"), denoted by the letter, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's general theory of relativity.

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Jeans instability

In stellar physics, the Jeans instability causes the collapse of interstellar gas clouds and subsequent star formation.

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Pressure

Pressure (symbol: p or P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

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Shear force

Shearing forces are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.

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Speed of sound

The speed of sound is the distance travelled per unit time by a sound wave as it propagates through an elastic medium.

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Star formation

Star formation is the process by which dense regions within molecular clouds in interstellar space, sometimes referred to as "stellar nurseries" or "star-forming regions", collapse and form stars.

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Viktor Safronov

Viktor Sergeevich Safronov (Ви́ктор Серге́евич Сафро́нов) (born Velikie Luki, Russia, 11 October 1917 – died Moscow 18 September 1999) was a Soviet astronomer who put forward the low-mass-nebula model of planet formation, a consistent picture of how the planets formed from a disk of gas and dust around the Sun.

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Redirects here:

Safronov-Toomre Criterion, Safronov-Toomre criterion, Toomre Q, Toomre Q parameter, Toomre stability criterion, Toomre's Stability Criterion.

References

[1] https://en.wikipedia.org/wiki/Toomre's_stability_criterion

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