Pulsar planet

Artist's concept of a pulsar with planets

Pulsar planets are planets that are orbiting pulsars. The first such planets to be discovered were around a millisecond pulsar in 1992 and were the first extrasolar planets to be confirmed as discovered. Pulsars are extremely precise clocks and even small planets can create detectable variations in pulsar traits; the smallest known exoplanet is a pulsar planet.

They are extremely rare, with only half a dozen listed by the NASA Exoplanet Archive. Only special processes can give rise to planet-sized companions around pulsars, and many are thought to be exotic bodies, such as planets made of diamond, that were formed through the partial destruction of a companion star. The intense radiation and winds consisting of electron-positron pairs would tend to strip atmospheres away from such planets, thus making them unlikely abodes for life.

Formation

The formation of planets requires the existence of a protoplanetary disk, most theories also require a "dead zone" within it where there is no turbulence. There, planetesimals can form and accumulate without falling into the star. ^[1] Compared to young stars, pulsars have a much higher luminosity and thus the formation of a dead zone is hindered by the ionization of the disk by the pulsar's radiation, ^[2] which allows the magnetorotational instability to trigger turbulence and thus destroy the dead zone. ^[3] Thus, a disk needs to have a large mass if it is to give rise to planets. ^[4]

There are several processes ^{[lower-alpha 1]} that could give rise to planetary systems:

• "First generation" planets are planets that orbited the star before it went supernova and became a pulsar: ^[6] Massive stars tend to lack planets, possibly due to the difficulty in detecting them around very bright stars but also because the radiation from such stars would destroy the protoplanetary disks. Planets orbiting within about 4 astronomical units of the star risk being engulfed and destroyed when it becomes a red giant or red supergiant. During the supernova, the system loses about half of its mass and unless the pulsar is ejected in the same direction as the planet was moving at the time of the supernova, the planets are likely to detach from the system. None of the known pulsar planet systems are likely to have formed in this process. ^[7]
• "Second generation" planets from material that falls back on the pulsar after a supernova: ^[6] The material could theoretically reach a mass comparable to that of a protoplanetary disk, ^[7] but is likely to dissipate too fast to allow the formation of planets. There are no known examples of planets around young pulsars. ^{[8] [9]}
• "Third generation" planets: ^[6] A companion star is destroyed through the interaction with a pulsar, forming a low-mass disk. Pulsars can emit energetic radiation that heats the companion star, until it overflows its Roche lobe and is eventually destroyed. Another mechanism is the emission of gravitational waves, which shrink the orbit until the companion star (in these cases often a white dwarf) breaks up. ^[8] In a third mechanism, the pulsar penetrates the envelope of a larger star, causing it to break up and form a disk ^[10] around the pulsar. ^[11] Disks formed in these processes are much more massive than these formed through fallback and thus persist for longer times, allowing the formation of planets. ^[8] They also contain heavy elements that are essential building blocks for planets, and part of the disk will be accreted by the pulsar and spins it up in the process. ^[12] Alternatively, a light white dwarf is destroyed by the interaction with a more massive one; the light white dwarf gives rise to a debris disk that generates a planet while the larger white dwarf becomes a pulsar. ^[13]
• A companion star may be destroyed during the interaction with a pulsar but leave a planet-sized remnant, ^[3] such a system is known as a "black widow". ^[14]
• Finally, it is possible that planets from companion stars or rogue planets are captured by a pulsar, ^[15] or that a pulsar merged with the original host star of the planets. ^[16] The latter process would form a "common envelope" which eventually breaks down to form a disk from which planets can develop. ^[17]

Implications

The formation scenarios have consequences for the planets' composition: A planet formed from supernova debris is likely rich in metals and radioactive isotopes ^[15] and may contain large quantities of water; ^[18] one formed through the break-up of a white dwarf would be carbon rich ^[15] and consist of large amounts of diamond; ^[19] an actual white dwarf fragment would be extremely dense. ^[15] As of 2022 ^[update] , the most common type of planet around a pulsar is a "diamond planet", a very low mass white dwarf. ^[20] Other objects around pulsars could include asteroids, comets and planetoids. ^[21] More speculative scenarios are planets consisting of strange matter, which could occur much more close to the pulsars than ordinary matter planets, potentially emitting gravitational waves. ^[22]

Planets can interact with the magnetic field of a pulsar to produce so-called "Alfvén wings", these are wing-shaped electrical currents around the planet which inject energy into the planet ^[23] and could produce detectable radio emissions. ^[24]

Observability

Pulsars are extremely precise clocks ^[4] and pulsar timing is highly regular. It is thus possible to detect very small objects around pulsars, down to the size of large asteroids, ^[1] from changes in the timing of the pulsar hosting them. The timing needs to be corrected for the effects of the motions of Earth and the Solar System, errors in the position estimates of the pulsar and of the travel times of the radiation across the interstellar medium. Pulsars spin and slow down over time in highly regular fashion; ^[4] planets alter this pattern through their gravitational attraction on the pulsar, causing a Doppler shift in the pulses. ^[25] The technique could in theory be also used to detect exomoons around pulsar planets. ^[26] There are limitations to pulsar planet visibility however; pulsar glitches and changes in the pulsation mode can mimick the existence of planets. ^[27]

The first ^{[lower-alpha 2]} extrasolar planets to be discovered (in 1992 by Dale Frail and Aleksander Wolszczan) were the pulsar planets around PSR B1257+12. ^[30] The discovery demonstrated that exoplanets can be detected from Earth, ^[31] and led to the expectation that extrasolar planets might not be uncommon. ^[4] As of 2016 ^{[update] [32]} the least massive known extrasolar planet (PSR B1257+12 A, only 0.02 M_E) is a pulsar planet. ^[33]

However, the size and particular spectroscopic traits makes actually visualizing such planets very difficult. ^[15] One potential way to image a planet is to detect its transit in front of the star: in case of pulsar planets, the probability of a planet transiting in front of pulsar is very low because of the small size of pulsars. Spectroscopic analyses of planets are rendered difficult by the complicated spectra of pulsars. Interactions between a planetary magnetic field, the pulsar and the thermal emissions of planets are more likely avenues of getting information on the planets. ^[34]

Occurrence

As of 2022 ^[update] only about half-dozen ^{[lower-alpha 3]} pulsar planets are known, ^[11] implying an occurrence rate of no more than one planetary system per 200 pulsars. ^{[lower-alpha 4] [38]} Most of the planet formation scenarios require that the precursor be a binary star with one star much more massive than the other, and that the system survives the supernova that generated the pulsar. Both these conditions are rarely met and thus the formation of pulsar planets is a rare process. ^[3] Additionally, planets and their orbits would have to survive the energetic radiation emitted by pulsars, including X-rays, gamma rays and energetic particles ("pulsar wind"). ^[6] This would be particularly important for millisecond pulsars that were spun up by accretion, while they formed X-ray binaries; the radiation emitted under these circumstances would evaporate any planet. ^[39] Pulsars remain visible for only a few million years, less than the time it takes for a planet to form, thus limiting the chance of observing one. ^[40]

Based on the known occurrence rate of pulsar planets, there might be as many as 10 million of them in the Milky Way. ^{[lower-alpha 5] [43]} All known pulsar planets are found around millisecond pulsars, ^[1] these are old pulsars that were spun up through the accrual of mass from a companion. As of 2015 ^[update] there are no known planets around young pulsars; ^[44] they are less regular than millisecond pulsars and thus detecting planets is more difficult. ^[34]

Known pulsar planets

The parameters of known pulsar ^{[lower-alpha 6]} planetary system ^[35]

Companion (in order from star)	Mass	Semimajor axis (AU)	Orbital period (days)	Eccentricity	Inclination	Radius
M62H b [46]	>2.5  MJ	0.004908	0.133	—	—	—
PSR B1257+12b	0.02±0.002  M🜨	0.19	25.262±0.003	0.0	—	—
PSR B1257+12c	4.3±0.2  M🜨	0.36	66.5419±0.0001	0.0186±0.0002	—	—
PSR B1257+12d	3.9±0.2  M🜨	0.46	98.2114±0.0002	—	—	—
PSR B1620-26b	2.5±1.0  MJ	23	—	—	—	—
PSR J1719-1438b	>1.2  MJ	—	0.090706293±0.000000002	<0.06	—	—
PSR J2322-2650b	0.7949±0.0002  MJ	—	0.322963997±0.000000006	<0.0017	—	—

M62H

M62H is a millisecond pulsar located in the globular cluster Messier 62, ^[46] in the constellation Ophiuchus, ^{[lower-alpha 7]} 21,500 light-years from the Earth. ^{[47] [lower-alpha 8]} It was discovered in 2024 using the MeerKAT radio telescope. ^[46] The pulsar has a rotational period of 3.70 milliseconds, meaning it completes 270 rotations per second. ^[46] Its planetary companion has a minimum mass of 2.47 M_J, assuming a mass of 1.4 M_☉ for the pulsar. ^[46] The planet takes 0.1329 days (3.19 h) to complete an orbit around its star, and is located 0.005  AU from it. ^[46]

PSR B1257+12

The pulsar PSR B1257+12, 710+43
−38 parsecs (about 2,300 light-years (710 pc) lightyears) away ^[48] in the constellation Virgo, was confirmed to have planets in 1992 based on observations made with the Arecibo Observatory. ^[49] The system consists of one tiny planet with a mass of 0.02±0.002 Earth masses and two Super-Earths with masses 4.3±0.2 and 3.9±0.2 times that of Earth, assuming that the pulsar has a mass of 1.4 solar masses. ^[50] They most likely formed from a protoplanetary disk, ^[1] probably generated from the partial destruction of a companion star. ^[8] Computer simulations have shown that the system should be stable for at least one billion years ^[50] and that exomoons could survive in the system. ^[51] The system resembles the inner Solar System; ^[4] the planets orbit the pulsar at distances comparable to that of Mercury to the Sun and may have comparable surface temperatures. ^[52] Reports of additional bodies in this system might be due to solar disturbances. ^[53]

PSR J1719−1438

A cthonian planet ^[54] with a mass comparable to Jupiter but less than 40% of its radius orbits the pulsar PSR J1719-1438. ^{[lower-alpha 9] [1]} This planet is probably the remnant of a companion star that was evaporated by the pulsar's radiation ^[3] and has been described as a "diamond planet". ^{[lower-alpha 10] [6]}

PSR B1620−26

A circumbinary planet with a mass of 2.5±1 Jupiter masses ^[56] orbits around PSR B1620-26, a binary star consisting of a pulsar and a white dwarf ^[1] in the globular cluster M4. ^[4] This planet may have been captured into the pulsar's orbit, a process which is particularly likely within the packed environment of a globular cluster, ^[15] and may be about 12.6 billion years old, making it the oldest known planet. ^{[lower-alpha 11] [57]} Its existence may demonstrate that planets can form in low-metallicity globular clusters. ^[58]

PSR J2322−2650

PSR J2322-2650 seems to have a roughly Jupiter-mass companion. The radiation from the pulsar could be heating it to about 2300 K; an light source observed close to the pulsar may be the planet. ^[59] This pulsar is considerably less luminous than many, which may explain why the planet has survived to this day. ^[60]

Debris disks and precursors

Timing variations of the pulsars PSR B1937+21 and PSR J0738-4042 may reflect the existence of an asteroid belt ^{[lower-alpha 12]} around the pulsars, and collisions between asteroids/comets and pulsars have been proposed as an explanation for the phenomenon of fast radio bursts, ^{[lower-alpha 13]} the gamma ray burst GRB 101225A ^[6] and other types of pulsar variability. ^[64] There are no known debris disks around pulsars, although the magnetars 4U 0142+61 and 1E 2259+586 ^{[lower-alpha 14]} have been suggested to harbour them. ^[2]

The white dwarf-pulsar binary PSR J0348+0432 may be a system that could develop pulsar planets in the future. ^[66] The existence of a dust cloud at the pulsar Geminga that may be a precursor to planets has been proposed. ^[67]

Discredited candidates

There were earlier reports of pulsar planets which were either retracted or considered unconvincing, ^[68] such as the 1991 "discovery" of a planet around PSR B1829-10 which turned out to be an artifact caused by the motion of the Earth. ^[4] The existence of planets around the pulsar PSR B0329+54 has been debated since 1979 and is still unresolved as of 2017 ^[update] . ^[69] PSR B1828-11 has been conclusively established to display magnetospheric activity that mimicks planets, without having any, ^[70] and a planet candidate around the pulsar Geminga was later attributed to timing noise. ^[67]

The parameters of suspect pulsar planets planetary system ^{[35] [69]}

Companion (in order from star)	Mass	Semimajor axis (AU)	Orbital period (days)	Eccentricity	Inclination	Radius
PSR B0329+54b	1.97±0.19  M🜨	10.26±0.07	10140±11	0.236±0.011	—	—

Habitability

Main article: Habitability of neutron star systems

Pulsars emit a very different radiation spectrum than regular stars, with very little optical or infrared radiation but large amounts of ionizing radiation ^[43] and electron-positron pairs, which are generated by the pulsar's magnetic field as it spins. Additionally, remnant heat from before the pulsar's birth, heating of the pulsar's poles from its own radiation and from mass accretion processes drives the emission of thermal radiation and neutrinos. ^[71] The electron-positron pairs and X-rays are absorbed by planetary atmospheres and heat them, driving intense atmospheric escape that can strip them away. ^[72] The presence of a planetary magnetic field could mitigate the impact of the electron-positron pairs. ^[73]

Habitability is conventionally defined by the equilibrium temperature of a planet, which is a function of the amount of incoming radiation; a planet is defined "habitable" if liquid water can exist on its surface ^[74] although even planets with little external energy can harbour underground life. ^[75] Pulsars do not emit large quantities of radiation given their small size; the habitable zone can easily end up lying so close to the star that tidal effects destroy the planets. ^[76] Additionally, it is often unclear how much radiation a given pulsar emits and how much of it can actually reach a hypothetical planet's surface; of the known pulsar planets, only these of PSR B1257+12 are close to the habitable zone ^[77] and as of 2015 ^[update] , no known pulsar planet is likely to be habitable. ^{[4] [37]} Additional heat sources may be radioactive isotopes such as potassium-40 formed during the supernova that gave rise to the pulsar ^[18] and tidal heating for planets with close orbits. ^[78] Radiation from outside sources such as companion stars would also add to the energy budget. ^[54]

See also

• Lists of exoplanets
• List of stars with proplyds
• Andrew Lyne

Notes

1. Pre-existent planets surviving the supernova are known as a "Salamander" scenario; in mythology salamanders are thought to survive fires. Planets formed from stellar debris are known as "Memnonides" scenarios; Memnonides according to the Roman poet Ovid were birds formed from the ashes of the warrior Memnon. ^[5]
2. The earlier detection of the planets HD 114762 b and Gamma Cephei Ab was considered uncertain at the time and so they are not considered the first discovered exoplanets; ^[28] additionally HD 114762 b was later discovered to be a star (red dwarf rather than a planet. ^[29] )
3. The NASA Exoplanet Archive has seven planets listed for bodies with the name "PSR" as of 25 March 2023 ^{[update] [35]} while the Extrasolar Planets Encyclopedia has 24 planets listed for the same criteria. ^[36]
4. For comparison, it is believed that one fourth to one fifth of all known white dwarfs - the other kind of stellar corpse - bear planets. ^[37]
5. By comparison, the Milky Way has about 100-400 billion stars, ^[41] most of which are thought to feature planets. ^[42]
6. Planets are named in order of discovery, beginning with a lowercase "b" which comes after the star's name. In multiple star systems, the stars are given an uppercase letter after the system's name, but beginning with "A" for the main star. ^[45]
7. Obtained with a right ascension of 17^h 01^m 13.7881^s and a declination of −30° 06′ 25.14″ ^[46] on this website.
8. Based on Messier 62's distance from the Earth.
9. Sometimes also known as PSR J1719-14, per PSR J1719-14
10. Its density-mass-radius characteristics imply that it consists entirely of diamond. ^[55]
11. An alternative interpretation is that the planet formed through a common envelope, which could make it as young as 500 million years. ^[17]
12. In the case of PSR B1937+21, the most massive object is thought to have a mass of less than 1/10000 of Earth's. ^[61]
13. A fast radio burst is a burst of radio waves, lasting for milliseconds and originating outside of the Milky Way. ^[62] One theory about their cause is that planets orbiting within a pulsar's magnetic field create a disturbance that produces the bursts, but there are no known examples of this process. ^[63]
14. The source states that the name is 1E 2259+286 ^[2] but the correct name is 1E 2259+586. ^[65]

References

1. Martin, Livio & Palaniswamy 2016, p. 1.
2. Martin, Livio & Palaniswamy 2016, p. 8.
3. Martin, Livio & Palaniswamy 2016, p. 4.
4. Wolszczan 2015.
5. Phinney & Hansen 1993, p. 371.
6. Patruno & Kama 2017, p. 1.
7. Martin, Livio & Palaniswamy 2016, p. 2.
8. Martin, Livio & Palaniswamy 2016, p. 3.
9. Margalit & Metzger 2017, p. 2798.
10. Hirai & Podsiadlowski 2022, p. 4545.
11. Hirai & Podsiadlowski 2022, p. 4553.
12. Euvel 1992, p. 668.
13. Podsiadlowski, Pringle & Rees 1991, p. 783.
14. Bailes et al. 2011, p. 1717.
15. Nekola Novakova & Petrasek 2017, p. 1.
16. Podsiadlowski, Pringle & Rees 1991, p. 784.
17. MacRobert 2005, p. 26.
18. Patruno & Kama 2017, p. 10.
19. Margalit & Metzger 2017, p. 2800.
20. Niţu et al. 2022, p. 2446.
21. Mottez & Heyvaerts 2011, p. 1.
22. Kuerban, Geng & Huang 2019, p. 1.
23. Mottez & Heyvaerts 2011, p. 8.
24. Mottez & Heyvaerts 2011, p. 9.
25. Flam 1992, p. 290.
26. Lewis, Sackett & Mardling 2008, p. 156.
27. Kerr et al. 2015, p. 1.
28. Veras 2016, p. 1.
29. Kiefer 2019, p. 1.
30. Callegari, Ferraz-Mello & Michtchenko 2006, p. 381.
31. Wolszczan 1994, p. 542.
32. Veras 2016, p. 17.
33. Lewis, Sackett & Mardling 2008, p. 153.
34. Nekola Novakova & Petrasek 2017, p. 2.
35. NASAEp 2023.
36. EPE 2023.
37. Veras & Vidotto 2021, p. 1702.
38. Hirai & Podsiadlowski 2022, p. 4554.
39. Miller & Hamilton 2001, p. 864.
40. Miller & Hamilton 2001, p. 869.
41. Stellato 2020, p. 1.
42. Cassan et al. 2012, p. 167.
43. Patruno & Kama 2017, p. 2.
44. Spiewak et al. 2018, p. 470.
45. IAU.
46. Vleeschower, L.; Corongiu, A.; Stappers, B. W.; Freire, P. C. C.; Ridolfi, A.; Abbate, F.; Ransom, S. M.; Possenti, A.; Padmanabh, P. V.; Balakrishnan, V.; Kramer, M.; Krishnan, V. Venkatraman; Zhang, L.; Bailes, M.; Barr, E. D. (2024-03-01). "Discoveries and timing of pulsars in M62". Monthly Notices of the Royal Astronomical Society. arXiv: 2403.12137 . Bibcode:2024MNRAS.tmp..838V. doi:10.1093/mnras/stae816. ISSN   0035-8711.
47. Oliveira, R. A. P.; Ortolani, S.; Barbuy, B.; Kerber, L. O.; Maia, F. F. S.; Bica, E.; Cassisi, S.; Souza, S. O.; Pérez-Villegas, A. (January 2022). "Precise distances from OGLE-IV member RR Lyrae stars in six bulge globular clusters". Astronomy & Astrophysics. 657: A123. arXiv: 2110.13943 . Bibcode:2022A&A...657A.123O. doi:10.1051/0004-6361/202141596. ISSN   0004-6361.
48. Yan et al. 2013, p. 166.
49. Cowen 1994, p. 151.
50. Wolszczan 2008, p. 2.
51. Donnison 2010, p. 1919.
52. Wolszczan & Frail 1992, p. 146.
53. Hansen, Shih & Currie 2009, p. 387.
54. Iorio 2021, p. 1.
55. Smith et al. 2014, p. 3.
56. Wolszczan 2008, p. 3.
57. Pasqua & Assaf 2014, p. 1.
58. Setiawan et al. 2010, p. 1642.
59. Spiewak et al. 2018, p. 474.
60. Spiewak et al. 2018, p. 476.
61. Niţu et al. 2022, p. 2455.
62. Petroff et al. 2015, p. 457.
63. Petroff et al. 2015, p. 458.
64. Shearer et al. 2008, p. 3.
65. Kaplan et al. 2009.
66. Antoniadis et al. 2013, p. 448.
67. Greaves & Holland 2017, p. 26.
68. Wolszczan 1994, p. 538.
69. Starovoit & Rodin 2017, p. 948.
70. Niţu et al. 2022, p. 2447.
71. Patruno & Kama 2017, pp. 4–5.
72. Patruno & Kama 2017, pp. 5–6.
73. Patruno & Kama 2017, p. 11.
74. Patruno & Kama 2017, p. 6.
75. Stamenkovic & Breuer 2009, p. 58.
76. Patruno & Kama 2017, p. 4.
77. Patruno & Kama 2017, p. 7.
78. Iorio 2021, p. 5.

Sources

• Antoniadis, John; Freire, Paulo C. C.; Wex, Norbert; Tauris, Thomas M.; Lynch, Ryan S.; van Kerkwijk, Marten H.; Kramer, Michael; Bassa, Cees; Dhillon, Vik S.; Driebe, Thomas; Hessels, Jason W. T.; Kaspi, Victoria M.; Kondratiev, Vladislav I.; Langer, Norbert; Marsh, Thomas R.; McLaughlin, Maura A.; Pennucci, Timothy T.; Ransom, Scott M.; Stairs, Ingrid H.; van Leeuwen, Joeri; Verbiest, Joris P. W.; Whelan, David G. (26 April 2013). "A Massive Pulsar in a Compact Relativistic Binary". Science. 340 (6131): 1233232. arXiv: 1304.6875 . Bibcode:2013Sci...340..448A. doi:10.1126/science.1233232. ISSN   0036-8075. PMID   23620056. S2CID   15221098.
• Bailes, M.; Bates, S. D.; Bhalerao, V.; Bhat, N. D. R.; Burgay, M.; Burke-Spolaor, S.; D’Amico, N.; Johnston, S.; Keith, M. J.; Kramer, M.; Kulkarni, S. R.; Levin, L.; Lyne, A. G.; Milia, S.; Possenti, A.; Spitler, L.; Stappers, B.; van Straten, W. (23 September 2011). "Transformation of a Star into a Planet in a Millisecond Pulsar Binary". Science. 333 (6050): 1717–1720. arXiv: 1108.5201 . Bibcode:2011Sci...333.1717B. doi:10.1126/science.1208890. ISSN   0036-8075. PMID   21868629. S2CID   206535504.
• Callegari, N.; Ferraz-Mello, S.; Michtchenko, T. A. (1 April 2006). "Dynamics of Two Planets in the 3/2 Mean-motion Resonance: Application to the Planetary System of the Pulsar PSR B1257+12". Celestial Mechanics and Dynamical Astronomy. 94 (4): 381–397. Bibcode:2006CeMDA..94..381C. doi:10.1007/s10569-006-9002-4. ISSN   1572-9478. S2CID   123024733.
• Cassan, A.; Kubas, D.; Beaulieu, J.-P.; Dominik, M.; Horne, K.; Greenhill, J.; Wambsganss, J.; Menzies, J.; Williams, A.; Jørgensen, U. G.; Udalski, A.; Bennett, D. P.; Albrow, M. D.; Batista, V.; Brillant, S.; Caldwell, J. a. R.; Cole, A.; Coutures, Ch; Cook, K. H.; Dieters, S.; Prester, D. Dominis; Donatowicz, J.; Fouqué, P.; Hill, K.; Kains, N.; Kane, S.; Marquette, J.-B.; Martin, R.; Pollard, K. R.; Sahu, K. C.; Vinter, C.; Warren, D.; Watson, B.; Zub, M.; Sumi, T.; Szymański, M. K.; Kubiak, M.; Poleski, R.; Soszynski, I.; Ulaczyk, K.; Pietrzyński, G.; Wyrzykowski, Ł (January 2012). "One or more bound planets per Milky Way star from microlensing observations". Nature. 481 (7380): 167–169. arXiv: 1202.0903 . Bibcode:2012Natur.481..167C. doi:10.1038/nature10684. ISSN   1476-4687. PMID   22237108. S2CID   2614136.
• Miller, M. Coleman; Hamilton, Douglas P. (April 2001). "Implications of the PSR 1257+12 Planetary System for Isolated Millisecond Pulsars". The Astrophysical Journal. 550 (2): 863. arXiv: astro-ph/0012042 . Bibcode:2001ApJ...550..863M. doi:10.1086/319813. ISSN   0004-637X. S2CID   10770838.
• Cowen, Ron (5 March 1994). "New evidence for planets orbiting a pulsar". Science News. Vol. 145, no. 10. Science News. pp. 151–152. Retrieved 23 March 2023– via Gale Academic OneFile.
• Donnison, J. R. (May 2010). "The Hill stability of the possible moons of extrasolar planets: Stability of extrasolar moons". Monthly Notices of the Royal Astronomical Society: no. doi:10.1111/j.1365-2966.2010.16796.x. S2CID   117784599.
• "Catalog". Extrasolar Planets Encyclopaedia . 1995. Retrieved 25 March 2023.
• Euvel, E. P. J. Van Den H. (April 1992). "Pulsar planets". Nature. 356 (6371): 668. Bibcode:1992Natur.356..668V. doi: 10.1038/356668b0 . ISSN   1476-4687. S2CID   186241974.
• Flam, Faye (17 January 1992). "Have Astronomers Bagged A Pair of Pulsar Planets?: New observations strengthen the case for planets circling burned-out stars—and spur the search for an explanation". Science. 255 (5042): 290. doi:10.1126/science.255.5042.290. PMID   17779576.
• Greaves, J. S.; Holland, W. S. (October 2017). "The Geminga pulsar wind nebula in the mid-infrared and submillimetre". Monthly Notices of the Royal Astronomical Society: Letters. 471 (1): L26–L30. doi:10.1093/mnrasl/slx098.
• Hansen, Brad M. S.; Shih, Hsin-Yi; Currie, Thayne (January 2009). "The Pulsar Planets: A Test Case of Terrestrial Planet Assembly". The Astrophysical Journal. 691 (1): 382–393. arXiv: 0908.0736 . Bibcode:2009ApJ...691..382H. doi:10.1088/0004-637X/691/1/382. ISSN   0004-637X. S2CID   18322234.
• Hirai, Ryosuke; Podsiadlowski, Philipp (2 November 2022). "neutron stars colliding with binary companions: formation of hypervelocity stars, pulsar planets, bumpy superluminous supernovae and Thorne–Żytkow objects". Monthly Notices of the Royal Astronomical Society. 517 (3): 4544–4556. arXiv: 2208.00915 . doi:10.1093/mnras/stac3007.
• "Naming Exoplanets". International Astronomical Union. Retrieved 12 September 2023.
• Iorio, Lorenzo (July 2021). "The Impact of Classical and General Relativistic Obliquity Precessions on the Habitability of Circumstellar neutron stars' Planets". The Astronomical Journal. 162 (2): 51. arXiv: 2106.06024 . Bibcode:2021AJ....162...51I. doi: 10.3847/1538-3881/ac09f8 . ISSN   1538-3881. S2CID   235417162.
• Kaplan, David L.; Chakrabarty, Deepto; Wang, Zhongxiang; Wachter, Stefanie (June 2009). "A Mid-Infrared Counterpart to the Magnetar 1E 2259+586". The Astrophysical Journal. 700 (1): 149–154. arXiv: 0906.1604 . Bibcode:2009ApJ...700..149K. doi:10.1088/0004-637X/700/1/149. ISSN   0004-637X. S2CID   9937378.
• Kerr, M.; Johnston, S.; Hobbs, G.; Shannon, R. M. (August 2015). "Limits on Planet Formation Around Young Pulsars and Implications for Supernova Fallback Disks". The Astrophysical Journal Letters. 809 (1): L11. arXiv: 1507.06982 . Bibcode:2015ApJ...809L..11K. doi:10.1088/2041-8205/809/1/L11. ISSN   2041-8205. S2CID   118144284.
• Kiefer, Flavien (1 December 2019). "Determining the mass of the planetary candidate HD 114762 b using Gaia". Astronomy & Astrophysics. 632: L9. arXiv: 1910.07835 . Bibcode:2019A&A...632L...9K. doi:10.1051/0004-6361/201936942. ISSN   0004-6361. S2CID   204743831.
• Kuerban, Abudushataer; Geng, Jin-Jun; Huang, Yong-Feng (17 July 2019). "GW emission from merging strange quark star-strange quark planet systems". AIP Conference Proceedings. 2127 (1): 020027. Bibcode:2019AIPC.2127b0027K. doi: 10.1063/1.5117817 . ISSN   0094-243X. S2CID   199118120.
• Lewis, Karen M.; Sackett, Penny D.; Mardling, Rosemary A. (September 2008). "Possibility of Detecting Moons of Pulsar Planets through Time-of-Arrival Analysis". The Astrophysical Journal. 685 (2): L153. arXiv: 0805.4263 . Bibcode:2008ApJ...685L.153L. doi:10.1086/592743. ISSN   0004-637X. S2CID   17818202.
• MacRobert, A. M. (2005). "Follow That Story: The Pulsar Planet in M4". Sky and Telescope. 109 (1): 26. Bibcode:2005S&T...109Q..26M.
• Margalit, Ben; Metzger, Brian D. (1 March 2017). "Merger of a white dwarf–neutron star binary to 10 29 carat diamonds: origin of the pulsar planets". Monthly Notices of the Royal Astronomical Society. 465 (3): 2790–2803. arXiv: 1608.08636 . doi:10.1093/mnras/stw2640.
• Martin, Rebecca G.; Livio, Mario; Palaniswamy, Divya (November 2016). "Why Are Pulsar Planets Rare?". The Astrophysical Journal. 832 (2): 122. arXiv: 1609.06409 . Bibcode:2016ApJ...832..122M. doi: 10.3847/0004-637X/832/2/122 . ISSN   0004-637X. S2CID   118490527.
• Mottez, F.; Heyvaerts, J. (1 August 2011). "Magnetic coupling of planets and small bodies with a pulsar wind". Astronomy & Astrophysics. 532: A21. arXiv: 1106.0657 . Bibcode:2011A&A...532A..21M. doi:10.1051/0004-6361/201116530. ISSN   0004-6361. S2CID   26955561.
• Niţu, Iuliana C; Keith, Michael J; Stappers, Ben W; Lyne, Andrew G; Mickaliger, Mitchell B (29 March 2022). "A search for planetary companions around 800 pulsars from the Jodrell Bank pulsar timing programme". Monthly Notices of the Royal Astronomical Society. 512 (2): 2446–2459. arXiv: 2203.01136 . doi:10.1093/mnras/stac593.
• Pasqua, Antonio; Assaf, Khudhair A. (25 February 2014). "Possibility of Detection of Exomoons with Inclined Orbits Orbiting Pulsar Planets Using the Time-of-Arrival Analysis". Advances in Astronomy. 2014: e450864. Bibcode:2014AdAst2014E...6P. doi: 10.1155/2014/450864 . ISSN   1687-7969.
• Petroff, E.; Johnston, S.; Keane, E. F.; van Straten, W.; Bailes, M.; Barr, E. D.; Barsdell, B. R.; Burke-Spolaor, S.; Caleb, M.; Champion, D. J.; Flynn, C.; Jameson, A.; Kramer, M.; Ng, C.; Possenti, A.; Stappers, B. W. (21 November 2015). "A survey of FRB fields: limits on repeatability". Monthly Notices of the Royal Astronomical Society. 454 (1): 457–462. arXiv: 1508.04884 . doi:10.1093/mnras/stv1953.
• "Table". NASA Exoplanet Archive . Retrieved 25 March 2023.
• Nekola Novakova, J.; Petrasek, T. (1 September 2017). Feasibility and benefits of pulsar planet characterization. European Planetary Science Congress 2017. pp. EPSC2017–623. Bibcode:2017EPSC...11..623N.
• Patruno, A.; Kama, M. (1 December 2017). "neutron star planets: Atmospheric processes and irradiation". Astronomy & Astrophysics. 608: A147. arXiv: 1705.07688 . Bibcode:2017A&A...608A.147P. doi:10.1051/0004-6361/201731102. ISSN   0004-6361. S2CID   119191976.
• Phinney, E. S.; Hansen, B. M. S. (January 1993). The pulsar planet production process. ASP Conference Series. Planets around pulsars. Vol. 36. pp. 371–390.
• Podsiadlowski, Ph; Pringle, J. E.; Rees, M. J. (August 1991). "The origin of the planet orbiting PSR1829 – 10". Nature. 352 (6338): 783–784. Bibcode:1991Natur.352..783P. doi:10.1038/352783a0. ISSN   1476-4687. S2CID   4235775.
• Setiawan, Johny; Klement, Rainer J.; Henning, Thomas; Rix, Hans-Walter; Rochau, Boyke; Rodmann, Jens; Schulze-Hartung, Tim (17 December 2010). "A Giant Planet Around a Metal-Poor Star of Extragalactic Origin". Science. 330 (6011): 1642–1644. arXiv: 1011.6376 . Bibcode:2010Sci...330.1642S. doi:10.1126/science.1193342. ISSN   0036-8075. PMID   21097905. S2CID   657925.
• Shearer, Andy; Cunniffe, John; Voisin, Bruno; Neustroev, Vitaly; Browne, Michael; Andersen, Torben; Enmark, Anita; Linde, Peter (22 April 2008). Andersen, Torben E. (ed.). "High time resolution astrophysics and ELTs: Which wavelength?". Extremely Large Telescopes: Which Wavelengths? Retirement Symposium for Arne Ardeberg. 6986. SPIE: 94–102. Bibcode:2008SPIE.6986E..0AS. doi:10.1117/12.801261. S2CID   120761231.
• Smith, R. F.; Eggert, J. H.; Jeanloz, R.; Duffy, T. S.; Braun, D. G.; Patterson, J. R.; Rudd, R. E.; Biener, J.; Lazicki, A. E.; Hamza, A. V.; Wang, J.; Braun, T.; Benedict, L. X.; Celliers, P. M.; Collins, G. W. (July 2014). "Ramp compression of diamond to five terapascals". Nature. 511 (7509): 330–333. Bibcode:2014Natur.511..330S. doi:10.1038/nature13526. ISSN   1476-4687. PMID   25030170. S2CID   4389771.
• Spiewak, R; Bailes, M; Barr, E D; Bhat, N D R; Burgay, M; Cameron, A D; Champion, D J; Flynn, C M L; Jameson, A; Johnston, S; Keith, M J; Kramer, M; Kulkarni, S R; Levin, L; Lyne, A G; Morello, V; Ng, C; Possenti, A; Ravi, V; Stappers, B W; van Straten, W; Tiburzi, C (21 March 2018). "PSR J2322−2650 – a low-luminosity millisecond pulsar with a planetary-mass companion". Monthly Notices of the Royal Astronomical Society. 475 (1): 469–477. arXiv: 1712.04445 . doi:10.1093/mnras/stx3157.
• Starovoit, E. D.; Rodin, A. E. (1 November 2017). "On the existence of planets around the pulsar PSR B0329+54". Astronomy Reports. 61 (11): 948–953. arXiv: 1710.01153 . Bibcode:2017ARep...61..948S. doi:10.1134/S1063772917110063. ISSN   1562-6881. S2CID   255206063.
• Stellato, Judy (2020). "The Milky Way and Lentil Beans". Science Scope. 43 (6): 44–49. doi:10.1080/08872376.2020.12291320. ISSN   0887-2376. JSTOR   27048035.
• Veras, Dimitri; Vidotto, Aline A (15 July 2021). "Planetary magnetosphere evolution around post-main-sequence stars". Monthly Notices of the Royal Astronomical Society. 506 (2): 1697–1703. arXiv: 2106.10293 . doi: 10.1093/mnras/stab1772 .
• Veras, Dimitri (February 2016). "Post-main-sequence planetary system evolution". Royal Society Open Science. 3 (2): 150571. arXiv: 1601.05419 . Bibcode:2016RSOS....350571V. doi:10.1098/rsos.150571. ISSN   2054-5703. PMC   4785977 . PMID   26998326.
• Stamenkovic, Vlada; Breuer, Doris (1 February 2009). "Special Issue: Abstracts from the Eighth European Workshop on Astrobiology, Neuchâtel, Switzerland, 1-3 September, 2008". Origins of Life and Evolution of Biospheres. 39 (1): 1–89. doi:10.1007/s11084-008-9155-0. ISSN   1573-0875. PMID   19184520. S2CID   37433981.
• Wolszczan, Alexander (22 April 1994). "Confirmation of Earth-Mass Planets Orbiting the Millisecond Pulsar PSR B1257 + 12". Science. 264 (5158): 538–542. Bibcode:1994Sci...264..538W. doi:10.1126/science.264.5158.538. PMID   17732735. S2CID   19621191.
• Wolszczan, A (August 2008). "Fifteen years of the neutron star planet research". Physica Scripta. T130: 014005. Bibcode:2008PhST..130a4005W. doi:10.1088/0031-8949/2008/T130/014005. S2CID   122989232.
• Wolszczan, A.; Frail, D. A. (January 1992). "A planetary system around the millisecond pulsar PSR1257 + 12". Nature. 355 (6356): 145–147. Bibcode:1992Natur.355..145W. doi:10.1038/355145a0. ISSN   1476-4687. S2CID   4260368.
• Wolszczan, Alexander (2015). "Pulsar Planets". Encyclopedia of Astrobiology. Springer. pp. 2089–2092. Bibcode:2015enas.book.2089W. doi:10.1007/978-3-662-44185-5_1309. ISBN   978-3-662-44184-8.
• Yan, Zhen; Shen, Zhi-Qiang; Yuan, Jian-Ping; Wang, Na; Rottmann, Helge; Alef, Walter (21 July 2013). "Very long baseline interferometry astrometry of PSR B1257+12, a pulsar with a planetary system". Monthly Notices of the Royal Astronomical Society. 433 (1): 162–169. doi:10.1093/mnras/stt712.