# Astronomy:Pulsar

Short description: Highly magnetized, rapidly rotating neutron star
PSR B1509−58 – X-rays from Chandra are gold; Infrared from WISE in red, green and blue/max.
Illustration of the "lighthouse" effect produced by a pulsar.

A pulsar (from pulsating radio source)[1][2] is a highly magnetized rotating compact star (usually neutron stars but also white dwarfs) that emits beams of electromagnetic radiation out of its magnetic poles.[3] This radiation can be observed only when a beam of emission is pointing toward Earth (similar to the way a lighthouse can be seen only when the light is pointed in the direction of an observer), and is responsible for the pulsed appearance of emission. Neutron stars are very dense and have short, regular rotational periods. This produces a very precise interval between pulses that ranges from milliseconds to seconds for an individual pulsar. Pulsars are one of the candidates for the source of ultra-high-energy cosmic rays. (See also centrifugal mechanism of acceleration.)

The periods of pulsars make them very useful tools for astronomers. Observations of a pulsar in a binary neutron star system were used to indirectly confirm the existence of gravitational radiation. The first extrasolar planets were discovered around a pulsar, PSR B1257+12. In 1983, certain types of pulsars were detected that, at that time, exceeded the accuracy of atomic clocks in keeping time.[4]

## History of observation

Jocelyn Bell in 1967, the year she discovered the first pulsar.

### Discovery

Signals from the first discovered pulsar were initially observed by Jocelyn Bell while analyzing data recorded on August 6, 1967 from a newly commissioned radio telescope that she helped build. Initially dismissed as radio interference by her supervisor, Antony Hewish, developer of the telescope,[5] [6] the fact that the signals always appeared at the same declination and right ascension soon ruled out a terrestrial source.[7] On November 28, 1967, Bell and Hewish using a fast recorder resolved the signals as a series of pulses, evenly spaced every 1.33 seconds. No astronomical object of this nature had ever been observed before. On December 21, Bell discovered a second pulsar, quashing speculation that these might be signals beamed at earth from an extraterrestrial intelligence.[8] [9][10][11]

When observations with another telescope confirmed the emission, it eliminated any sort of instrumental effects. At this point, Bell said of herself and Hewish that "we did not really believe that we had picked up signals from another civilization, but obviously the idea had crossed our minds and we had no proof that it was an entirely natural radio emission. It is an interesting problem—if one thinks one may have detected life elsewhere in the universe, how does one announce the results responsibly?"[12] Even so, they nicknamed the signal LGM-1, for "little green men" (a playful name for intelligent beings of extraterrestrial origin).

Chart on which Jocelyn Bell first recognised evidence of a pulsar, exhibited at Cambridge University Library

It was not until a second pulsating source was discovered in a different part of the sky that the "LGM hypothesis" was entirely abandoned.[13] Their pulsar was later dubbed CP 1919, and is now known by a number of designators including PSR B1919+21 and PSR J1921+2153. Although CP 1919 emits in radio wavelengths, pulsars have subsequently been found to emit in visible light, X-ray, and gamma ray wavelengths.[14]

The word "pulsar" first appeared in print in 1968:

Composite optical/X-ray image of the Crab Nebula, showing synchrotron emission in the surrounding pulsar wind nebula, powered by injection of magnetic fields and particles from the central pulsar.

The existence of neutron stars was first proposed by Walter Baade and Fritz Zwicky in 1934, when they argued that a small, dense star consisting primarily of neutrons would result from a supernova.[16] Based on the idea of magnetic flux conservation from magnetic main sequence stars, Lodewijk Woltjer proposed in 1964 that such neutron stars might contain magnetic fields as large as 1014 to 1016 Gauss (=1010 to 1012 Tesla).[17] In 1967, shortly before the discovery of pulsars, Franco Pacini suggested that a rotating neutron star with a magnetic field would emit radiation, and even noted that such energy could be pumped into a supernova remnant around a neutron star, such as the Crab Nebula.[18] After the discovery of the first pulsar, Thomas Gold independently suggested a rotating neutron star model similar to that of Pacini, and explicitly argued that this model could explain the pulsed radiation observed by Bell Burnell and Hewish.[19] In 1968, Richard V. E. Lovelace with collaborators discovered period $\displaystyle{ P\!\approx 33 }$ ms of the Crab Nebula pulsar using Arecibo Observatory. [20] [21] The discovery of the Crab pulsar provided confirmation of the rotating neutron star model of pulsars.[22] The Crab pulsar 33-millisecond pulse period was too short to be consistent with other proposed models for pulsar emission. Moreover, the Crab pulsar is so named because it is located at the center of the Crab Nebula, consistent with the 1933 prediction of Baade and Zwicky.[23] In 1974, Antony Hewish and Martin Ryle, who had developed revolutionary radio telescopes, became the first astronomers to be awarded the Nobel Prize in Physics, with the Royal Swedish Academy of Sciences noting that Hewish played a "decisive role in the discovery of pulsars".[24] Considerable controversy is associated with the fact that Hewish was awarded the prize while Bell, who made the initial discovery while she was his PhD student, was not. Bell claims no bitterness upon this point, supporting the decision of the Nobel prize committee.[25]

### Milestones

The Vela Pulsar and its surrounding pulsar wind nebula.

In 1974, Joseph Hooton Taylor, Jr. and Russell Hulse discovered for the first time a pulsar in a binary system, PSR B1913+16. This pulsar orbits another neutron star with an orbital period of just eight hours. Einstein's theory of general relativity predicts that this system should emit strong gravitational radiation, causing the orbit to continually contract as it loses orbital energy. Observations of the pulsar soon confirmed this prediction, providing the first ever evidence of the existence of gravitational waves. As of 2010, observations of this pulsar continue to agree with general relativity.[26] In 1993, the Nobel Prize in Physics was awarded to Taylor and Hulse for the discovery of this pulsar.[27]

In 1982, Don Backer led a group which discovered PSR B1937+21, a pulsar with a rotation period of just 1.6 milliseconds (38,500 rpm).[28] Observations soon revealed that its magnetic field was much weaker than ordinary pulsars, while further discoveries cemented the idea that a new class of object, the "millisecond pulsars" (MSPs) had been found. MSPs are believed to be the end product of X-ray binaries. Owing to their extraordinarily rapid and stable rotation, MSPs can be used by astronomers as clocks rivaling the stability of the best atomic clocks on Earth. Factors affecting the arrival time of pulses at Earth by more than a few hundred nanoseconds can be easily detected and used to make precise measurements. Physical parameters accessible through pulsar timing include the 3D position of the pulsar, its proper motion, the electron content of the interstellar medium along the propagation path, the orbital parameters of any binary companion, the pulsar rotation period and its evolution with time. (These are computed from the raw timing data by Tempo, a computer program specialized for this task.) After these factors have been taken into account, deviations between the observed arrival times and predictions made using these parameters can be found and attributed to one of three possibilities: intrinsic variations in the spin period of the pulsar, errors in the realization of Terrestrial Time against which arrival times were measured, or the presence of background gravitational waves. Scientists are currently attempting to resolve these possibilities by comparing the deviations seen between several different pulsars, forming what is known as a pulsar timing array. The goal of these efforts is to develop a pulsar-based time standard precise enough to make the first ever direct detection of gravitational waves. In June 2006, the astronomer John Middleditch and his team at LANL announced the first prediction of pulsar glitches with observational data from the Rossi X-ray Timing Explorer. They used observations of the pulsar PSR J0537−6910.

Artist's impression of the planets orbiting PSR B1257+12. The one in the foreground is planet "C".

In 1992, Aleksander Wolszczan discovered the first extrasolar planets around PSR B1257+12. This discovery presented important evidence concerning the widespread existence of planets outside the Solar System, although it is very unlikely that any life form could survive in the environment of intense radiation near a pulsar.

In 2016, AR Scorpii was identified as the first pulsar in which the compact object is a white dwarf instead of a neutron star.[29] Because its moment of inertia is much higher than that of a neutron star, the white dwarf in this system rotates once every 1.97 minutes, far slower than neutron-star pulsars.[30] The system displays strong pulsations from ultraviolet to radio wavelengths, powered by the spin-down of the strongly magnetized white dwarf.[29]

## Nomenclature

Initially pulsars were named with letters of the discovering observatory followed by their right ascension (e.g. CP 1919). As more pulsars were discovered, the letter code became unwieldy, and so the convention then arose of using the letters PSR (Pulsating Source of Radio) followed by the pulsar's right ascension and degrees of declination (e.g. PSR 0531+21) and sometimes declination to a tenth of a degree (e.g. PSR 1913+16.7). Pulsars appearing very close together sometimes have letters appended (e.g. PSR 0021−72C and PSR 0021−72D).

The modern convention prefixes the older numbers with a B (e.g. PSR B1919+21), with the B meaning the coordinates are for the 1950.0 epoch. All new pulsars have a J indicating 2000.0 coordinates and also have declination including minutes (e.g. PSR J1921+2153). Pulsars that were discovered before 1993 tend to retain their B names rather than use their J names (e.g. PSR J1921+2153 is more commonly known as PSR B1919+21). Recently discovered pulsars only have a J name (e.g. PSR J0437−4715). All pulsars have a J name that provides more precise coordinates of its location in the sky.[31]

## Formation, mechanism, turn off

Schematic view of a pulsar. The sphere in the middle represents the neutron star, the curves indicate the magnetic field lines, the protruding cones represent the emission beams and the green line represents the axis on which the star rotates.

The events leading to the formation of a pulsar begin when the core of a massive star is compressed during a supernova, which collapses into a neutron star. The neutron star retains most of its angular momentum, and since it has only a tiny fraction of its progenitor's radius (and therefore its moment of inertia is sharply reduced), it is formed with very high rotation speed. A beam of radiation is emitted along the magnetic axis of the pulsar, which spins along with the rotation of the neutron star. The magnetic axis of the pulsar determines the direction of the electromagnetic beam, with the magnetic axis not necessarily being the same as its rotational axis. This misalignment causes the beam to be seen once for every rotation of the neutron star, which leads to the "pulsed" nature of its appearance.

In rotation-powered pulsars, the beam is the result of the rotational energy of the neutron star, which generates an electrical field from the movement of the very strong magnetic field, resulting in the acceleration of protons and electrons on the star surface and the creation of an electromagnetic beam emanating from the poles of the magnetic field.[32][33] Observations by NICER of J0030−0451 indicate that both beams originate from hotspots located on the south pole and that there may be more than two such hotspots on that star.[34][35] This rotation slows down over time as electromagnetic power is emitted. When a pulsar's spin period slows down sufficiently, the radio pulsar mechanism is believed to turn off (the so-called "death line"). This turn-off seems to take place after about 10–100 million years, which means of all the neutron stars born in the 13.6 billion year age of the universe, around 99% no longer pulsate.[36]

Though the general picture of pulsars as rapidly rotating neutron stars is widely accepted, Werner Becker of the Max Planck Institute for Extraterrestrial Physics said in 2006, "The theory of how pulsars emit their radiation is still in its infancy, even after nearly forty years of work."[37]

## Categories

Three distinct classes of pulsars are currently known to astronomers, according to the source of the power of the electromagnetic radiation:

• rotation-powered pulsars, where the loss of rotational energy of the star provides the power,
• accretion-powered pulsars (accounting for most but not all X-ray pulsars), where the gravitational potential energy of accreted matter is the power source (producing X-rays that are observable from the Earth),
• magnetars, where the decay of an extremely strong magnetic field provides the electromagnetic power.

Although all three classes of objects are neutron stars, their observable behavior and the underlying physics are quite different. There are, however, some connections. For example, X-ray pulsars are probably old rotationally-powered pulsars that have already lost most of their power, and have only become visible again after their binary companions had expanded and begun transferring matter on to the neutron star.

The process of accretion can, in turn, transfer enough angular momentum to the neutron star to "recycle" it as a rotation-powered millisecond pulsar. As this matter lands on the neutron star, it is thought to "bury" the magnetic field of the neutron star (although the details are unclear), leaving millisecond pulsars with magnetic fields 1000–10,000 times weaker than average pulsars. This low magnetic field is less effective at slowing the pulsar's rotation, so millisecond pulsars live for billions of years, making them the oldest known pulsars. Millisecond pulsars are seen in globular clusters, which stopped forming neutron stars billions of years ago.[36]

Of interest to the study of the state of the matter in a neutron star are the glitches observed in the rotation velocity of the neutron star. This velocity decreases slowly but steadily, except for an occasional sudden variation – a “glitch”. One model put forward to explain these glitches is that they are the result of "starquakes" that adjust the crust of the neutron star. Models where the glitch is due to a decoupling of the possibly superconducting interior of the star have also been advanced. In both cases, the star's moment of inertia changes, but its angular momentum does not, resulting in a change in rotation rate.

Neutron Star Types (24 June 2020)

### Disrupted recycled pulsar

When two massive stars are born close together from the same cloud of gas, they can form a binary system and orbit each other from birth. If those two stars are at least a few times as massive as our sun, their lives will both end in supernova explosions. The more massive star explodes first, leaving behind a neutron star. If the explosion does not kick the second star away, the binary system survives. The neutron star can now be visible as a radio pulsar, and it slowly loses energy and spins down. Later, the second star can swell up, allowing the neutron star to suck up its matter. The matter falling onto the neutron star spins it up and reduces its magnetic field.

This is called "recycling" because it returns the neutron star to a quickly-spinning state. Finally, the second star also explodes in a supernova, producing another neutron star. If this second explosion also fails to disrupt the binary, a double neutron star binary is formed. Otherwise, the spun-up neutron star is left with no companion and becomes a "disrupted recycled pulsar", spinning between a few and 50 times per second.[38]

## Applications

The discovery of pulsars allowed astronomers to study an object never observed before, the neutron star. This kind of object is the only place where the behavior of matter at nuclear density can be observed (though not directly). Also, millisecond pulsars have allowed a test of general relativity in conditions of an intense gravitational field.

### Maps

Relative position of the Sun to the center of the Galaxy and 14 pulsars with their periods denoted, shown on a Pioneer plaque

Pulsar maps have been included on the two Pioneer plaques as well as the Voyager Golden Record. They show the position of the Sun, relative to 14 pulsars, which are identified by the unique timing of their electromagnetic pulses, so that our position both in space and in time can be calculated by potential extraterrestrial intelligences.[39] Because pulsars are emitting very regular pulses of radio waves, its radio transmissions do not require daily corrections. Moreover, pulsar positioning could create a spacecraft navigation system independently, or be used in conjunction with satellite navigation.[40][41]

X-ray pulsar-based navigation and timing (XNAV) or simply pulsar navigation is a navigation technique whereby the periodic X-ray signals emitted from pulsars are used to determine the location of a vehicle, such as a spacecraft in deep space. A vehicle using XNAV would compare received X-ray signals with a database of known pulsar frequencies and locations. Similar to GPS, this comparison would allow the vehicle to calculate its position accurately (±5 km). The advantage of using X-ray signals over radio waves is that X-ray telescopes can be made smaller and lighter.[42][43][44] Experimental demonstrations have been reported in 2018.[45]

### Precise clocks

Generally, the regularity of pulsar emission does not rival the stability of atomic clocks.[46] They can still be used as external reference.[47] For example, J0437−4715 has a period of 0.005757451936712637 s with an error of 1.7×10−17 s. This stability allows millisecond pulsars to be used in establishing ephemeris time[48] or in building pulsar clocks.[49]

Timing noise is the name for rotational irregularities observed in all pulsars. This timing noise is observable as random wandering in the pulse frequency or phase.[50] It is unknown whether timing noise is related to pulsar glitches.

### Probes of the interstellar medium

The radiation from pulsars passes through the interstellar medium (ISM) before reaching Earth. Free electrons in the warm (8000 K), ionized component of the ISM and H II regions affect the radiation in two primary ways. The resulting changes to the pulsar's radiation provide an important probe of the ISM itself.[51]

Because of the dispersive nature of the interstellar plasma, lower-frequency radio waves travel through the medium slower than higher-frequency radio waves. The resulting delay in the arrival of pulses at a range of frequencies is directly measurable as the dispersion measure of the pulsar. The dispersion measure is the total column density of free electrons between the observer and the pulsar,

$\displaystyle{ \mathrm{DM} = \int_0^D n_e(s) ds, }$

where $\displaystyle{ D }$ is the distance from the pulsar to the observer and $\displaystyle{ n_e }$ is the electron density of the ISM. The dispersion measure is used to construct models of the free electron distribution in the Milky Way.[52]

Additionally, turbulence in the interstellar gas causes density inhomogeneities in the ISM which cause scattering of the radio waves from the pulsar. The resulting scintillation of the radio waves—the same effect as the twinkling of a star in visible light due to density variations in the Earth's atmosphere—can be used to reconstruct information about the small scale variations in the ISM.[53] Due to the high velocity (up to several hundred km/s) of many pulsars, a single pulsar scans the ISM rapidly, which results in changing scintillation patterns over timescales of a few minutes.[54]

### Probes of space-time

Pulsars orbiting within the curved space-time around Sgr A*, the supermassive black hole at the center of the Milky Way, could serve as probes of gravity in the strong-field regime.[55] Arrival times of the pulses would be affected by special- and general-relativistic Doppler shifts and by the complicated paths that the radio waves would travel through the strongly curved space-time around the black hole. In order for the effects of general relativity to be measurable with current instruments, pulsars with orbital periods less than about 10 years would need to be discovered;[55] such pulsars would orbit at distances inside 0.01 pc from Sgr A*. Searches are currently underway; at present, five pulsars are known to lie within 100 pc from Sgr A*.[56]

### Gravitational wave detectors

There are 3 consortia around the world which use pulsars to search for gravitational waves. In Europe, there is the European Pulsar Timing Array (EPTA); there is the Parkes Pulsar Timing Array (PPTA) in Australia; and there is the North American Nanohertz Observatory for Gravitational Waves (NANOGrav) in Canada and the US. Together, the consortia form the International Pulsar Timing Array (IPTA). The pulses from Millisecond Pulsars (MSPs) are used as a system of Galactic clocks. Disturbances in the clocks will be measurable at Earth. A disturbance from a passing gravitational wave will have a particular signature across the ensemble of pulsars, and will be thus detected.

## Significant pulsars

Pulsars within 300 pc[57]
PSR Distance
(pc)
Age
(Myr)
J0030+0451 244 7,580
J0108−1431 238 166
J0437−4715 156 1,590
J0633+1746 156 0.342
J0659+1414 290 0.111
J0835−4510 290 0.0113
J0453+0755 260 17.5
J1045−4509 300 6,710
J1741−2054 250 0.387
J1856−3754 161 3.76
J2144−3933 165 272
Gamma-ray pulsars detected by the Fermi Gamma-ray Space Telescope.

The pulsars listed here were either the first discovered of its type, or represent an extreme of some type among the known pulsar population, such as having the shortest measured period.

• The first radio pulsar "CP 1919" (now known as PSR B1919+21), with a pulse period of 1.337 seconds and a pulse width of 0.04-second, was discovered in 1967.[7]
• The first binary pulsar, PSR 1913+16, whose orbit is decaying at the exact rate predicted due to the emission of gravitational radiation by general relativity
• The brightest radio pulsar, the Vela Pulsar.
• The first millisecond pulsar, PSR B1937+21
• The brightest millisecond pulsar, PSR J0437−4715
• The first X-ray pulsar, Cen X-3
• The first accreting millisecond X-ray pulsar, SAX J1808.4−3658
• The first pulsar with planets, PSR B1257+12
• The first pulsar observed to have been affected by asteroids: PSR J0738−4042
• The first double pulsar binary system, PSR J0737−3039
• The shortest period pulsar, PSR J1748−2446ad, with a period of ~0.0014 seconds or ~1.4 milliseconds (716 times a second).
• The longest period pulsar, at 118.2 seconds, as well as the only known example of a white dwarf pulsar, AR Scorpii.[58]
• The longest period neutron star pulsar, PSR J0250+5854, with a period of 23.5 seconds.[59]
• The pulsar with the most stable period, PSR J0437−4715
• The first millisecond pulsar with 2 stellar mass companions, PSR J0337+1715
• PSR J1841−0500, stopped pulsing for 580 days. One of only two pulsars known to have stopped pulsing for more than a few minutes.
• PSR B1931+24, has a cycle. It pulses for about a week and stops pulsing for about a month.[60] One of only two pulsars known to have stopped pulsing for more than a few minutes.
• PSR J1903+0327, a ~2.15 ms pulsar discovered to be in a highly eccentric binary star system with a Sun-like star.[61]
• PSR J2007+2722, a 40.8-hertz 'recycled' isolated pulsar was the first pulsar found by volunteers on data taken in February 2007 and analyzed by distributed computing project Einstein@Home.[62]
• PSR J1311–3430, the first millisecond pulsar discovered via gamma-ray pulsations and part of a binary system with the shortest orbital period.[63]

## Notes

1. Nora Roberts; D. R. Lorimer; M. Kramer (2005). Handbook of Pulsar Astronomy (illustrated, herdruk ed.). Cambridge University Press. p. 249. ISBN 9780521828239.  Extract of page 249
2. Sullivan, Walter (February 9, 1983). "PULSAR TERMED MOST ACCURATE 'CLOCK' IN SKY". The New York Times.
4. Hewish, A., Bell, S. J., et al. "Observation of a Rapidly Pulsating Radio Source". Nature, Volume 217, 1968 (pp. 709–713).
5. George Hobbs; Simon Johnston (November 28, 2017). Fifty years ago, Jocelyn Bell discovered pulsars and changed our view of the universe. phys.org. Retrieved August 4, 2021.
6. Pranab Ghosh, Rotation and accretion powered pulsars. World Scientific, 2007, p.2.
7. M. S. Longair, Our evolving universe. CUP Archive, 1996, p.72.
8. M. S. Longair, High energy astrophysics, Volume 2. Cambridge University Press, 1994, p.99.
9. S. Jocelyn Bell Burnell (1977). "Little Green Men, White Dwarfs or Pulsars?". Cosmic Search Magazine.  (after-dinner speech with the title of Petit Four given at the Eighth Texas Symposium on Relativistic Astrophysics; first published in Annals of the New York Academy of Science, vol. 302, pp. 685–689, Dec., 1977)
10. Bell Burnell, S. Jocelyn (23 April 2004). "So Few Pulsars, So Few Females". Science 304 (5670): 489. doi:10.1126/science.304.5670.489. PMID 15105461.
11. Courtland, Rachel. "Pulsar Detected by Gamma Waves Only". New Scientist, 17 October 2008.
12. Daily Telegraph, 21/3, 5 March 1968.
13. Baade, W.; Zwicky, F. (1934). "Remarks on Super-Novae and Cosmic Rays". Physical Review 46 (1): 76. doi:10.1103/PhysRev.46.76.2. Bibcode1934PhRv...46...76B.
14. Woltjer, L. (1964). "X-rays and Type I Supernova Remnants". Astrophysical Journal 140: 1309. doi:10.1086/148028. Bibcode1964ApJ...140.1309W.
15. Pacini, F. (1967). "Energy Emission from a Neutron Star". Nature 216 (5115): 567–568. doi:10.1038/216567a0. Bibcode1967Natur.216..567P.
16. Gold, T. (1968). "Rotating Neutron Stars as the Origin of the Pulsating Radio Sources". Nature 218 (5143): 731–732. doi:10.1038/218731a0. Bibcode1968Natur.218..731G.
17. Crab nebula pulsar NP 0532 1969, J. M. Comella, H. D. Craft, R. V. E. Lovelace, J. M. Sutton, G. L. Tyler Nature 221 (5179), 453-454
18. Digital Search Methods for Pulsars 1969, R. V. E. Lovelace, J. M. Sutton, E. E. Salpeter Nature 222 (5190), 231-233
19. On the discovery of the period of the Crab Nebula pulsar R. V. E. Lovelace and G. L. Tyler 2012, The Observatory, 132, 186.
20. Lyne & Graham-Smith, pp. 1–7 (1998).
21. Bell Burnell, S. Jocelyn. "Little Green Men, White Dwarfs, or Pulsars?". Annals of the New York Academy of Science, vol. 302, pp. 685–689, Dec. 1977
22. Weisberg, J.M.; Nice, D.J.; Taylor, J.H. (2010). "Timing measurements of the relativistic binary pulsar PSR B1913+ 16". The Astrophysical Journal 722 (2): 1030–1034. doi:10.1088/0004-637X/722/2/1030. Bibcode2010ApJ...722.1030W.
23. D. Backer; Kulkarni, Shrinivas R.; Heiles, Carl; Davis, M. M.; Goss, W. M. (1982). "A millisecond pulsar". Nature 300 (5893): 315–318. doi:10.1038/300615a0. Bibcode1982Natur.300..615B.
24. Buckley, D. A. H.; Meintjes, P. J.; Potter, S. B.; Marsh, T. R.; Gänsicke, B. T. (2017-01-23). "Polarimetric evidence of a white dwarf pulsar in the binary system AR Scorpii" (in en). Nature Astronomy 1 (2): 0029. doi:10.1038/s41550-016-0029. ISSN 2397-3366. Bibcode2017NatAs...1E..29B.
25. Marsh, T. R.; Gänsicke, B. T.; Hümmerich, S.; Hambsch, F.-J.; Bernhard, K.; Lloyd, C.; Breedt, E.; Stanway, E. R. et al. (September 2016). "A radio-pulsing white dwarf binary star". Nature 537 (7620): 374–377. doi:10.1038/nature18620. PMID 27462808. Bibcode2016Natur.537..374M.
26. Lyne, Andrew G.; Graham-Smith, Francis. Pulsar Astronomy. Cambridge University Press, 1998.
27. Arzoumanian, Zaven; Gendreau, Keith (December 2019). "Focus on NICER Constraints on the Dense Matter Equation of State" (in en). The Astrophysical Journal Letters. Retrieved 14 December 2019.
28.
29. "Einstein@Home 'citizen scientists' in the U.S.A. and Germany discover a new pulsar in Arecibo telescope data" (PDF). Albert Einstein Institut (Press release). Hannover, DE: Max Planck Institut für Gravitationsphysik. 2010-08-12. Archived from the original (PDF) on 2010-08-14. Retrieved 2010-09-23. – Background material on "disrupted recycled pulsar" PSR J2007+2722.
30. Marissa Cevallos, Science News, "How to Use a Pulsar to Find Starbucks", Discovery News, Nov 24, 2010.
31. Angelo Tartaglia; Matteo Luca Ruggiero; Emiliano Capolongo (2011). "A null frame for spacetime positioning by means of pulsating sources". Advances in Space Research 47 (4): 645–653. doi:10.1016/j.asr.2010.10.023. Bibcode2011AdSpR..47..645T.
32. Commissariat, Tushna (4 June 2014). "Pulsars map the way for space missions". Physics World.
33. "An Interplanetary GPS Using Pulsar Signals". MIT Technology Review. 23 May 2013.
34. Becker, Werner; Bernhardt, Mike G.; Jessner, Axel (2013). "Autonomous Spacecraft Navigation With Pulsars". Acta Futura 7 (7): 11–28. doi:10.2420/AF07.2013.11. Bibcode2013AcFut...7...11B.
35. NASA test proves pulsars can function as a celestial GPS
36. John G. Hartnett; Andre Luiten (2011). "Colloquium: Comparison of Astrophysical and Terrestrial Frequency Standards". Reviews of Modern Physics 83 (1): 1–9. doi:10.1103/RevModPhys.83.1. Bibcode2011RvMP...83....1H.
37. Matsakis, D. N.; Taylor, J. H.; Eubanks, T. M. (1997). "A Statistic for Describing Pulsar and Clock Stabilities". Astronomy and Astrophysics 326: 924–928. Bibcode1997A&A...326..924M. Retrieved 2010-04-03.
38. Backer, Don (1984). "The 1.5 Millisecond Pulsar". Annals of the New York Academy of Sciences 422 (Eleventh Texas Symposium on Relativistic Astrophysics): 180–181. doi:10.1111/j.1749-6632.1984.tb23351.x. Bibcode1984NYASA.422..180B. Retrieved 2010-02-14.
39. "World's most accurate clock to be built in Gdańsk". Polska Agencja Prasowa. 2010. Retrieved 2012-03-20.
40. Ferrière, Katia (2001). "The Interstellar Environment of Our Galaxy". Reviews of Modern Physics 73 (4): 1031–1066. doi:10.1103/RevModPhys.73.1031. Bibcode2001RvMP...73.1031F.
41. Taylor, J. H.; Cordes, J. M. (1993). "Pulsar Distances and the Galactic Distribution of Free Electrons". Astrophysical Journal 411: 674. doi:10.1086/172870. Bibcode1993ApJ...411..674T.
42. Rickett, Barney J. (1990). "Radio Propagation Through the Turbulent Interstellar Plasma". Annual Review of Astronomy and Astrophysics 28: 561–605. doi:10.1146/annurev.aa.28.090190.003021. Bibcode1990ARA&A..28..561R.
43. Rickett, Barney J.; Lyne, Andrew G.; Gupta, Yashwant (1997). "Interstellar Fringes from Pulsar B0834+06". Monthly Notices of the Royal Astronomical Society 287 (4): 739–752. doi:10.1093/mnras/287.4.739. Bibcode1997MNRAS.287..739R.
44. Angelil, R.; Saha, P.; Merritt, D. (2010). "Towards relativistic orbit fitting of Galactic center stars and pulsars". The Astrophysical Journal 720 (2): 1303–1310. doi:10.1088/0004-637X/720/2/1303. Bibcode2010ApJ...720.1303A.
45. Deneva, J. S.; Cordes, J. M.; Lazio, T. J. W. (2009). "Discovery of Three Pulsars from a Galactic Center Pulsar Population". The Astrophysical Journal Letters 702 (2): L177–182. doi:10.1088/0004-637X/702/2/L177. Bibcode2009ApJ...702L.177D.
46. Abt, Helmut A. (May 2011). "The Age of the Local Interstellar Bubble". The Astronomical Journal 141 (5): 165. doi:10.1088/0004-6256/141/5/165. Bibcode2011AJ....141..165A.
47. Buckley, D. A. H.; Meintjes, P. J.; Potter, S. B.; Marsh, T. R.; Gänsicke, B. T. (2017-01-23). "Polarimetric evidence of a white dwarf pulsar in the binary system AR Scorpii". Nature Astronomy 1 (2): 0029. doi:10.1038/s41550-016-0029. ISSN 2397-3366. Bibcode2017NatAs...1E..29B.
48. Tan, C. M.; Bassa, C. G.; Cooper, S.; Dijkema, T. J.; Esposito, P.; Hessels, J. W. T.; Kondratiev, V. I.; Kramer, M. et al. (2018). "LOFAR Discovery of a 23.5 s Radio Pulsar". The Astrophysical Journal 866 (1): 54. doi:10.3847/1538-4357/aade88. Bibcode2018ApJ...866...54T.
49. Champion, David J.; Ransom, S. M.; Lazarus, P.; Camilo, F.; Bassa, C.; Kaspi, V. M.; Nice, D. J.; Freire, P. C. C. et al. (2008). "An Eccentric Binary Millisecond Pulsar in the Galactic Plane". Science 320 (5881): 1309–1312. doi:10.1126/science.1157580. PMID 18483399. Bibcode2008Sci...320.1309C.
50. Knispel, B.; Allen, B; Cordes, JM; Deneva, JS; Anderson, D; Aulbert, C; Bhat, ND; Bock, O et al. (2010). "Pulsar Discovery by Global Volunteer Computing". Science 329 (5997): 1305. doi:10.1126/science.1195253. PMID 20705813. Bibcode2010Sci...329.1305K.
51. Pletsch, H. J.; Guillemot; Fehrmann, H.; Allen, B.; Kramer, M.; Aulbert, C.; Ackermann, M.; Ajello, M. et al. (2012). "Binary millisecond pulsar discovery via gamma-ray pulsations". Science 338 (6112): 1314–1317. doi:10.1126/science.1229054. PMID 23112297. Bibcode2012Sci...338.1314P.