object

tidal disruption event

A tidal disruption event occurs when a star is torn apart by a black hole's gravitational forces.
65 related articles · 4 formulas · 6 who worked here

Description

A tidal disruption event (TDE) is an astrophysical transient that occurs when a star passes too close to a supermassive black hole. When the tidal radius (the distance where the star's self-gravity balances the tidal force) becomes smaller than the pericenter (closest orbital point), the star is disrupted. About half of the mass falls onto the black hole, forming an accretion disk with a characteristic fallback rate ∝ t^{−5/3}. The disk emits in soft X-rays and ultraviolet, reaching a peak luminosity of ~10⁴⁴ erg/s, then fading over months to years.

History

The concept of tidal disruption was detailed in the works of Martin Rees (1988), although tidal forces near black holes were considered as early as the 1970s. The first observational confirmation came with the ROSAT mission in the 1990s, detecting soft X-ray flares from inactive galaxies. Modern surveys, such as ASAS-SN and ZTF, find dozens of candidates in the optical, while Swift and XMM-Newton study them in X-rays. Significant contributions came from accretion disk theory and hydrodynamic simulations of disruption.

How it works

A tidal disruption is initiated when the tidal radius R_t ≈ R_* (M_BH/M_*)^{1/3} exceeds the pericenter distance. The star is disrupted, and its material is distributed along orbits with different eccentricities, forming an elliptical stream. The gas, losing energy via shock waves and self-gravity, accumulates, and its return rate to the black hole follows Ṁ ∝ (t/t_fall)^{−5/3}, where t_fall is the fallback time of the most bound material. Accretion may be super-Eddington, generating powerful winds and, in some cases, relativistic jets, explaining radio-loud TDEs. Spectroscopy reveals broad hydrogen and helium lines, as well as blue-shifted absorption lines indicating outflows.

In practice

Tidal disruption events help detect dormant black holes, study their population, and accretion processes in extreme gravity.

Fun fact

One of the brightest recorded TDE flares, ASASSN-15lh, was initially thought to be a record supernova, but later turned out to be a star torn apart by a rapidly spinning black hole.

Concept graph →

Formulas

$$r_t = R_* igg( rac{M_ullet}{M_*}igg)^{1/3}$$
Distance where tidal forces overcome stellar self-gravity.
What is in the formula
r_tvariableTidal disruption radius — radius metre
R_*variableRadius of the star — radius metre
M_\bulletvariableMass of the black hole — mass kilogram
M_*variableMass of the star — mass kilogram
r_t=r_*(\frac{m_\bullet}{m_*})^{1/3} · 2606.02692v1
r_{\rmtide}=r_*(\frac{m_{\rmbh}}{m_*})^{1/3} · 2606.04966v1
r_t=r_p(\frac{2m}{m_p})^{1/3} · 2606.06884v1
r_t\approxr_{ns}(\frac{m_{bh}}{m_{ns}})^{1/3} · 2607.20609v1
$$M_{\text{Hill}} \propto R_p^{3/2} M_p^{-1/2}$$
Maximum mass for tidal disruption to occur outside the event horizon.
What is in the formula
M_{\text{Hill}}variableHill mass limit — mass kilogram
R_pvariablePlanet radius — radius metre
M_pvariablePlanet mass — mass kilogram
m_{{hills}}^{{blanet}}\approx5*10^9m_\odot(\frac{r_p}{6r_\oplus})^{3/2}(\frac{m_p}{100m_\oplus})^{-1/2} · 2606.06884v1
$$t_{\text{peak}} \propto M^{1/2} M_p^{-1} R_p^{3/2}$$
Time from disruption to peak accretion rate in tidal events.
What is in the formula
t_peakvariableTime from disruption to peak accretion rate — time second
MvariableMass of the black hole — mass kilogram
M_pvariableMass of the disrupted star — mass kilogram
R_pvariableRadius of the disrupted star — radius metre
t_{{peak}}\approx1.6~{дня}(\frac{m}{10^7m_\odot})^{1/2}(\frac{m_p}{100m_\oplus})^{-1}(\frac{r_p}{6r_\oplus})^{3/2} · 2606.06884v1
$$d = R_{\text{m}} \left( \frac{2 M}{m} \right)^{1/3}$$
Distance at which tidal forces disrupt a satellite.
What is in the formula
dvariableRoche limit distance — Roche limit metre
R_mvariableRadius of the secondary body — radius metre
MvariableMass of the primary body — mass kilogram
mvariableMass of the secondary body — mass kilogram
r_t=r_p(\frac{m_\star+m_p}{m_p})^{1/3} · 2607.01315v1
d=r\sqrt[3]{\frac{2ρ_p}{ρ_s}} · 2607.05193v1

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