phenomenon

binary stellar evolution

Evolutionary processes in binary star systems, including mass transfer and interactions.
55 related articles · 4 formulas

Description

Binary stellar evolution covers the life cycles of stars that are gravitationally bound in pairs, where interactions such as mass transfer, common-envelope phases, and tidal effects dramatically alter their evolution compared to single stars. These processes produce exotic objects like X-ray binaries, millisecond pulsars, and merging black holes. The study of binary evolution is crucial for understanding stellar populations, supernova rates, and gravitational wave sources.

History

The theoretical framework was developed in the 1960s–1970s by researchers like Zdeněk Kopal and Bohdan Paczyński, with later refinements from observations of X-ray binaries and pulsars.

How it works

When a star in a binary expands (e.g., as a red giant), it can fill its Roche lobe, transferring mass to its companion. This mass transfer can spin up the companion, strip the donor's envelope, or lead to a common-envelope phase where the two stars spiral together. Magnetic braking and gravitational wave emission can also shrink the orbit, leading to eventual mergers or supernovae that kick the system.

In practice

Binary evolution models predict the rates and properties of gravitational wave sources (like black hole mergers) detected by LIGO and Virgo, and explain the formation of recycled pulsars used in precision timing arrays.

Fun fact

Some binary stars merge to form a single, rapidly rotating star that can mimic a young star, a phenomenon known as 'blue stragglers' in old clusters.

Concept graph →

Formulas

$$\dot{\omega} = \frac{6\pi G M}{a(1-e^2)c^2}$$
General relativity predicts periastron advance in binary systems.
What is in the formula
\dot{\omega}variablerate of periastron advance — angular velocity radian per second
Mvariabletotal mass of the binary system — mass kilogram
avariablesemi-major axis of the orbit — length metre
evariableorbital eccentricity — eccentricity
GconstantConstant of universal gravitation. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
cconstantSpeed of light in vacuum. — speed of light = 299792458 metre per second
δ_{θ}^{gr}=\frac{2m_c^2+6m_pm_c+\frac{7}{2}m_p^2}{(m_p+m_c)^{4/3}}(t_{\odot}n_b)^{2/3} · 2606.23926
\dot{ω}_{1pn}=\frac{3n^{5/3}(t_{\odot}m_{tot})^{2/3}}{1-e^2} · 2606.23926
$$\frac{\dot{M}}{M} = \frac{\dot{J}/J}{\zeta - \zeta_L}$$
Relates mass loss rate to angular momentum loss in binaries.
What is in the formula
MvariableMass of the donor star — mass kilogram
M_dotvariableTime derivative of the donor mass — mass loss rate kilogram per second
JvariableOrbital angular momentum of the binary — angular momentum kilogram square metre per second
J_dotvariableTime derivative of the orbital angular momentum — angular momentum loss rate kilogram square metre per second squared
zetavariableMass-radius exponent of the donor star — mass radius exponent
zeta_LvariableMass-radius exponent of the Roche lobe — roche lobe mass radius exponent
\frac{\dot{m}_2}{m_2}=\frac{2(\dot{j}_{\rmgw}/j)}{\zeta_2-\zeta_l} · 2607.12971
$$\dot{J} = f(\dot{M}, M_1, M_2, a, P)$$
Rate of angular momentum loss in binary systems due to mass transfer.
What is in the formula
\dot{J}variableAngular momentum loss rate — angular momentum loss rate kilogram metre squared per second square
\dot{M}variableMass transfer rate — mass transfer rate kilogram per second
M_1variableMass of the primary star — mass kilogram
M_2variableMass of the secondary star — mass kilogram
avariableOrbital separation — length metre
PvariableOrbital period — time second
\dot{j}_{\rmml}=(α\dot{m}_{\rmtr}m_2^2+β\dot{m}_{\rmtr}m_1^2)(\frac{a}{m_1+m_2})^2\frac{2π}{p_{\rmorb}} · 2607.17552v1
$$q = \frac{m_2}{m_1}$$
Ratio of secondary to primary mass in a binary system.
What is in the formula
qvariableMass ratio of the binary system — mass ratio
m_2variableMass of the secondary component — mass kilogram
m_1variableMass of the primary component — mass kilogram
q=m_{\rmp}/m_* · 2607.04594v1
s_{δ_1,δ_2}=\frac{m_{δ_1}}{m_{δ_2}} · 2607.20721v1

Related articles · 55

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