In
astronomy
Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
, a polar is a highly magnetic type of
cataclysmic variable
In astronomy, cataclysmic variable stars (CVs) are stars which irregularly increase in brightness by a large factor, then drop back down to a quiescent state. They were initially called novae (), since ones with an outburst brightness visible to ...
(CV)
binary star
A binary star is a system of two stars that are gravitationally bound to and in orbit around each other. Binary stars in the night sky that are seen as a single object to the naked eye are often resolved using a telescope as separate stars, in wh ...
system, originally known as an AM Herculis star after the prototype member
AM Herculis. Like other CVs, polars contain two
star
A star is an astronomical object comprising a luminous spheroid of plasma (physics), plasma held together by its gravity. The List of nearest stars and brown dwarfs, nearest star to Earth is the Sun. Many other stars are visible to the naked ...
s: an accreting
white dwarf
A white dwarf is a stellar core remnant composed mostly of electron-degenerate matter. A white dwarf is very dense: its mass is comparable to the Sun's, while its volume is comparable to the Earth's. A white dwarf's faint luminosity comes fro ...
(WD), and a low-mass donor star (usually a
red dwarf
''Red Dwarf'' is a British science fiction comedy franchise created by Rob Grant and Doug Naylor, which primarily consists of a television sitcom that aired on BBC Two between 1988 and 1999, and on Dave since 2009, gaining a cult following. T ...
) which is transferring mass to the WD as a result of the WD's gravitational pull, overflowing its
Roche lobe
In astronomy, the Roche lobe is the region around a star in a binary system within which orbiting material is gravitationally bound to that star. It is an approximately teardrop-shaped region bounded by a critical gravitational equipotential, wit ...
.
Polars are distinguished from other CVs by the presence of a very strong
magnetic field
A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to ...
in the WD. Typical magnetic field strengths of polar systems are 10 million to 80 million
gauss
Johann Carl Friedrich Gauss (; german: Gauß ; la, Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields in mathematics and science. Sometimes refer ...
(1000–8000
teslas).
The WD in the polar
AN Ursae Majoris
AN Ursae Majoris is a binary star system in the northern circumpolar constellation of Ursa Major. It is a variable star, with ''AN Ursae Majoris'' being the variable star designation, and ranges in brightness from 14.90 down to 20.2. Eve ...
has the strongest known magnetic field among cataclysmic variables, with a field strength of 230 million gauss (23 kT).
Accretion mechanism
One of the most critical consequences of the WD's magnetism is that it synchronizes the rotational period of the WD with the orbital period of the binary;
to first order, this means that the same side of the WD always faces the donor star. This synchronous rotation is considered a defining feature of polars.
Additionally, the WD's magnetic field captures the accretion stream from the donor star before it can develop into an
accretion disk
An accretion disk is a structure (often a circumstellar disk) formed by diffuse material in orbital motion around a massive central body. The central body is typically a star. Friction, uneven irradiance, magnetohydrodynamic effects, and other fo ...
. The capture of the accretion stream is known as threading, and it occurs when the
magnetic pressure
In physics, magnetic pressure is an energy density associated with a magnetic field. In SI units, the energy density P_B of a magnetic field with strength B can be expressed as
:P_B = \frac
where \mu_0 is the vacuum permeability.
Any magnetic fiel ...
from the WD matches the stream's
ram pressure
Ram pressure is a pressure exerted on a body moving through a fluid medium, caused by relative bulk motion of the fluid rather than random thermal motion. It causes a drag force to be exerted on the body. Ram pressure is given in tensor form as
...
.
The captured material flows along the WD's magnetic field lines until it violently accretes onto the WD in a shock near one or more of the star's
magnetic poles.
This accretion region covers only a fraction of the WD's surface, but it can contribute half of the system's optical light.
In addition to optical and near-infrared
cyclotron radiation Cyclotron radiation is electromagnetic radiation emitted by non-relativistic accelerating charged particles deflected by a magnetic field. The Lorentz force on the particles acts perpendicular to both the magnetic field lines and the particles' mot ...
, the accretion region also produces X-rays due to the high temperature of gas within the shock, so polars are frequently brighter in X-rays than non-magnetic CVs.
Whereas accretion in a non-magnetic system is governed by
viscosity
The viscosity of a fluid is a measure of its resistance to deformation at a given rate. For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water.
Viscosity quantifies the inte ...
within the accretion disk, accretion in a polar is entirely magnetic. Additionally, while an accretion disk can be crudely envisioned as a two-dimensional structure with no significant thickness, the accretion flow in a polar has complex three-dimensional structure because the magnetic field lines lift it out of the orbital plane.
Indeed, in some polars, the vertical extent of the accretion flow enables it to regularly pass in front of the WD's accretion spot as seen from Earth, causing a temporary decrease in the system's observed brightness.
Polars derive their name from the
linearly
Linearity is the property of a mathematical relationship (''function'') that can be graphically represented as a straight line. Linearity is closely related to '' proportionality''. Examples in physics include rectilinear motion, the linear re ...
and
circularly polarized
In electrodynamics, circular polarization of an electromagnetic wave is a polarization state in which, at each point, the electromagnetic field of the wave has a constant magnitude and is rotating at a constant rate in a plane perpendicular to t ...
light that they produce.
Information about the accretion geometry of a polar can be found by studying its polarization.
Asynchronous polars
The 1:1 ratio of the WD rotational period and the binary orbital period is a fundamental property of polars, but in four polars (
V1500 Cyg, BY Cam, V1432 Aql, and CD Ind), these two periods are different by ~1% or less.
The most common explanation for the WD's asynchronous rotation is that each of these systems had been synchronous until a
nova
A nova (plural novae or novas) is a transient astronomical event that causes the sudden appearance of a bright, apparently "new" star (hence the name "nova", which is Latin for "new") that slowly fades over weeks or months. Causes of the dramati ...
eruption broke the synchronization by changing the WD's rotation period.
The first known asynchronous polar, V1500 Cyg, underwent a nova in 1975, and its asynchronous rotation was discovered after the nova faded, providing the best observational evidence of this scenario.
In V1500 Cyg, BY Cam, and V1432 Aql, there is observational evidence that the WD is resynchronizing its spin period with the orbital period, and these systems are expected to become synchronous on a timescale of centuries.
Due to the slight difference between the orbital and WD rotation periods, the WD and its magnetosphere slowly rotate as seen from the donor star. Critically, this asynchronous rotation causes the accretion stream to interact with different
magnetic field lines. Since the accretion flow travels along the field lines which have captured it, it will follow different trajectories when it interacts with different field lines. As a concrete example, the accretion flow in the eclipsing polar V1432 Aql sometimes threads onto field lines which carry it so far above the orbital plane that the flow is not obscured when the donor star eclipses the WD, but at other times, it threads onto field lines with less vertical extent, causing the accretion flow to be much more fully eclipsed.
The corresponding variations in eclipse depth were shown to depend very strongly on the orientation of the WD's magnetic field with respect to the donor star.
For comparison, in a synchronous polar, the WD does not rotate with respect to the donor star, and the stream always interacts with the same field lines, resulting in a stable accretion geometry.
There is also evidence in each of the four asynchronous polars that the accretion stream is able to travel much deeper into the WD's magnetosphere than in synchronous systems, implying an unusually high rate of mass transfer from the donor star or a low magnetic field strength, but this has not been studied in detail.
Intermediate polars
Another class of cataclysmic variables with magnetic white dwarfs accreting material from a main sequence donor star are the intermediate polars. These have less strong magnetic fields and the rotation of the white dwarf is not synchronised with the orbital period. It has been proposed that intermediate polars may evolve into polars as the donor is depleted and the orbit shrinks.
References
Further reading
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{{Variable star topics
Stellar phenomena