object

binary star

A binary star is a system of two stars orbiting around a common center of mass.
20 related articles · 4 formulas · 6 who worked here

Description

A binary star is a system of two stars orbiting a common center of mass. Periods can range from hours to millions of years. Such pairs are often born together from a single gas cloud, becoming true twins. Their dance allows direct determination of stellar masses—a fundamental characteristic governing stellar evolution. Binaries come in visual (seen separately), spectroscopic (detected by Doppler shift—the change in light frequency due to motion), eclipsing (when one star periodically blocks the other), and astrometric (an invisible companion revealed by wobbles of the visible star).

History

The duality of Mizar was first recorded by Riccioli in 1650. In the late 18th century, William Herschel began systematic searches for binaries and proved their orbital motion. The 19th century brought computations of the first orbits. In the 20th century, spectroscopy unveiled invisible duets, and space telescopes allowed us to discern pairs in other galaxies. Today, the Gaia mission is building a three-dimensional map of billions of stars, revealing the architecture of binary systems in the Milky Way.

How it works

Motion follows Newtonian mechanics (or general relativity for compact objects). Period and distance yield total mass. If the orbital plane lies along the line of sight, eclipses are observed with characteristic light curves. When the Roche lobe is filled, matter streams onto the accretor, forming a disk and a hot spot. This process explains cataclysmic variables, X-ray pulsars, and Type Ia supernovae. Mergers of neutron stars and black holes are detected by LIGO and Virgo detectors via gravitational-wave bursts. Kepler's third law plus spectroscopy unveil the masses of exoplanets in binary systems.

In practice

Binary stars serve as cosmic scales, allowing measurement of stellar masses and discovery of invisible objects like black holes. Their mergers generate gravitational waves and supernovae—forges of heavy elements.

Fun fact

The North Star, famously a guiding beacon, is itself a triple system: the bright supergiant is accompanied by two small companions.

Concept graph →

Formulas

$$q = \frac{m_2}{m_1}$$
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
$$R_L \approx a \frac{0.49 q^{2/3}}{0.6 q^{2/3} + \ln(1+q^{1/3})}$$
Approximate size of the Roche lobe in binary systems.
What is in the formula
R_LvariableRoche lobe radius — radius metre
avariableorbital separation — length metre
qvariablemass ratio (M1/M2) — mass ratio
lnoperatornatural logarithm — natural logarithm
r_l\approx0.462r_p(\frac{m_*}{m_*+m_{\rmbh}})^{1/3} · 2606.04966v1
\frac{r_l}{a}=\frac{0.49q^{2/3}}{0.6q^{2/3}+\ln(1+q^{1/3})} · 2606.30748
$$E_{\rm orb} = -\frac{G M_1 M_2}{2a}$$
The orbital energy of a binary system depends on masses and semi-major axis.
What is in the formula
E_orbvariableTotal orbital energy of the binary system — orbital energy joule
M_1variableMass of the first body — mass kilogram
M_2variableMass of the second body — mass kilogram
avariableSemi-major axis of the relative orbit — length metre
GconstantNewtonian gravitational constant, quantifying the strength of gravity — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
e_{\rmorb}=-\frac{gm_1m_2}{2a} · 2606.30748
$$r_H ≈ a • ∛{ rac{m}{3M}}$$
Region where a body's gravity dominates over central star.
What is in the formula
r_HvariableHill sphere radius — length metre
avariablesemi-major axis — length metre
mvariablemass of the smaller body — mass kilogram
Mvariablemass of the central body — mass kilogram
∛operatorcube root operation — cube root
r_h\approxa\sqrt[3]{\frac{m}{3m}} · 2607.05193v1

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