phenomenon

gravitational interaction accretion disk

Accretion disks interact gravitationally with surrounding objects like stars and dark matter.
19 related articles · 3 formulas

Description

Gravitational interaction in accretion disks refers to the mutual gravitational influence between the disk of matter spiraling into a central object (like a black hole or neutron star) and other bodies, such as companion stars, planets, or dark matter particles. These interactions can shape the disk's structure, cause warping or precession, and even drive the migration of embedded objects. In binary systems, the gravitational pull of a companion star can truncate the disk or induce periodic variations in its brightness.

History

The study of accretion disk dynamics dates back to the 1970s with the development of the standard thin disk model by Shakura and Sunyaev. The role of external gravitational perturbations was recognized early on in the context of binary X-ray sources.

How it works

The gravitational force from an external object perturbs the orbits of particles in the disk, leading to density waves, resonances, and torques that transfer angular momentum. For example, a companion star can create a gap in the disk if its gravitational influence is strong enough, or it can cause the disk to precess like a spinning top. Dark matter interactions, though weaker, could leave subtle signatures in the disk's dynamics or in the timing of signals from the central object.

In practice

These interactions are crucial for interpreting observations of X-ray binaries and active galactic nuclei, where periodic variations in light curves can reveal the presence of companion objects or the disk's response to gravitational perturbations.

Fun fact

In some systems, the gravitational interaction between a black hole's accretion disk and a misaligned companion star can cause the disk to warp and precess, leading to quasi-periodic oscillations in X-ray emission.

Concept graph →

Formulas

$$\dot{M} = 4\pi\lambda\frac{(G M)^2 \rho_\infty}{(c_s^2 + v_{\text{rel}}^2)^{3/2}}$$
Accretion rate onto a gravitating body depends on mass, gas density, and relative speed.
What is in the formula
\dot{M}variablemass accretion rate — mass accretion rate kilogram per second
Mvariablemass of the gravitating body — mass kilogram
\rho_\inftyvariableambient gas density at infinity — mass density kilogram per cubic metre
c_svariablesound speed in the gas — speed metre per second
v_{\text{rel}}variablerelative velocity of the body through the gas — velocity metre per second
GconstantNewtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
\lambdaconstantdimensionless accretion efficiency factor of order unity — accretion efficiency = 1
\dot{m}_{\rmtarget}=4πλ\frac{(gm_{\rmbh})^2ρ_\infty}{(c_s^2+v_{\rmrel}^2)^{3/2}} · 2607.00349
$$r_H \propto \frac{\dot{M}}{\rho c_s}$$
Horizon radius scales with accretion rate over density and sound speed.
What is in the formula
r_HvariableAccretion horizon radius — radius metre
\dot{M}variableMass accretion rate — mass flow rate kilogram per second
\rhovariableMass density of accreting material — mass density kilogram per cubic metre
c_svariableSound speed in accreting material — speed metre per second
r_h^4=\frac{f^2}{ρ^2c_s^2} · 2605.04158v2
$$P = ackslash eta ackslash dot{M} c^2$$
Power released by accretion onto a compact object.
What is in the formula
Pvariableaccretion power — power watt
ηvariableefficiency of mass-to-energy conversion
Ṁvariablemass accretion rate — mass flow rate kilogram per second
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second
p=\eta_a\eta_φ\dot{m}_{bh}c^2 · 2606.02700v1

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