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K-type main-sequence star
View on Wikipedia| K-type main-sequence star | |
|---|---|
Sigma Draconis, officially named Alsafi, is a K-type main-sequence star. | |
| Characteristics | |
| Type | Class of medium-small main sequence star |
| Mass range | 0.59–0.88 M☉ |
| Temperature | 3,930–5,270 K |
| Average luminosity | 0.079–0.46 L☉ |
| External links | |
A K-type main-sequence star[a] is a main-sequence (core hydrogen-burning) star of spectral type K. The luminosity class is typically V. These stars are intermediate in size between red dwarfs and yellow dwarfs. They have masses between 0.6 and 0.9 times the mass of the Sun and surface temperatures between 3,900 and 5,300 K.[1] These stars are of particular interest in the search for extraterrestrial life due to their stability and long lifespan. These stars stay on the main sequence for up to 70 billion years, a length of time much larger than the time the universe has existed (13.8 billion years); as such, none have had sufficient time to leave the main sequence.[2] Well-known examples include Alpha Centauri B (K1 V), Epsilon Indi (K5 V) and Epsilon Eridani (K2 V).[3]
Nomenclature
[edit]In modern usage, the names applied to K-type main sequence stars vary. When explicitly defined, late K dwarfs are typically grouped with early to mid-M-class stars as red dwarfs,[4] but in other cases red dwarf is restricted just to M-class stars.[5][6] In some cases all K stars are included as red dwarfs,[7] and occasionally even earlier stars.[8] The term orange dwarf is often applied to early-K stars,[9] but in some cases it is used for all K-type main sequence stars.[10]
Spectral standard stars
[edit]| Spectral type | Mass (M☉) |
Radius (R☉) |
Luminosity (L☉) |
Effective temperature (K) |
Color index (B − V) |
|---|---|---|---|---|---|
| K0V | 0.88 | 0.813 | 0.46 | 5,270 | 0.82 |
| K1V | 0.86 | 0.797 | 0.41 | 5,170 | 0.86 |
| K2V | 0.82 | 0.783 | 0.37 | 5,100 | 0.88 |
| K3V | 0.78 | 0.755 | 0.28 | 4,830 | 0.99 |
| K4V | 0.73 | 0.713 | 0.20 | 4,600 | 1.09 |
| K5V | 0.70 | 0.701 | 0.17 | 4,440 | 1.15 |
| K6V | 0.69 | 0.669 | 0.14 | 4,300 | 1.24 |
| K7V | 0.64 | 0.630 | 0.10 | 4,100 | 1.34 |
| K8V | 0.62 | 0.615 | 0.087 | 3,990 | 1.36 |
| K9V | 0.59 | 0.608 | 0.079 | 3,930 | 1.40 |
The revised Yerkes Atlas system (Johnson & Morgan 1953)[11] listed 12 K-type dwarf spectral standard stars, however not all of these have survived to this day as standards. The "anchor points" of the MK classification system among the K-type main-sequence dwarf stars, i.e. those standard stars that have remained unchanged over the years, are:[12]
- Sigma Draconis (K0 V)
- Epsilon Eridani (K2 V)
- 61 Cygni A (K5 V)
Other primary MK standard stars include:[13]
- 70 Ophiuchi A (K0 V),
- 107 Piscium (K1 V)
- HD 219134 (K3 V)
- TW Piscis Austrini (K4 V)
- HD 120467 (K6 V)
- 61 Cygni B (K7 V)
Based on the example set in some references (e.g. Johnson & Morgan 1953,[14] Keenan & McNeil 1989[13]), many authors consider the step between K7 V and M0 V to be a single subdivision, and the K8 and K9 classifications are rarely seen. A few examples such as HIP 111288 (K8V) and HIP 3261 (K9V) have been defined and used.[15]
Planets
[edit]These stars are of particular interest in the search for extraterrestrial life[16] because they are stable on the main sequence for a very long time (17–70 billion years, compared to 10 billion for the Sun).[2] Like M-type stars, they tend to have a very small mass, leading to their extremely long lifespan that offers plenty of time for life to develop on orbiting Earth-like, terrestrial planets.
Some of the nearest K-type stars known to have planets include Epsilon Eridani, HD 192310, Gliese 86, and 54 Piscium.
K-type main-sequence stars are about three to four times as abundant as G-type main-sequence stars, making planet searches easier.[17] K-type stars emit less total ultraviolet and other ionizing radiation than G-type stars like the Sun (which can damage DNA and thus hamper the emergence of nucleic acid based life). In fact, many peak in the red.[18]
While M-type stars are the most abundant, they are more likely to have tidally locked planets in habitable-zone orbits and are more prone to producing solar flares and cold spots that would more easily strike nearby rocky planets, potentially making it much harder for life to develop. Due to their greater heat, the habitable zones of K-type stars are also much wider than those of M-type stars. For all of these reasons, they may be the most favorable stars to focus on in the search for exoplanets and extraterrestrial life.
Radiation hazard
[edit]
Despite K-stars' lower total UV output, in order for their planets to have habitable temperatures, they must orbit much nearer to their K-star hosts, offsetting or reversing any advantage of a lower total UV output. There is also growing evidence that K-type dwarf stars emit dangerously high levels of X-rays and far ultraviolet (FUV) radiation for considerably longer into their early main sequence phase than do either heavier G-type stars or lighter early M-type dwarf stars.[19] This prolonged radiation saturation period may sterilise, destroy the atmospheres of, or at least delay the emergence of life for Earth-like planets orbiting inside the habitable zones around K-type dwarf stars.[19][20]
Notes
[edit]- ^ Also called a "K-type dwarf" or "orange dwarf"
See also
[edit]- Solar analog
- G-type main-sequence star
- Star count, survey of stars
References
[edit]- ^ a b E. Mamajek (2022-04-16). "A Modern Mean Dwarf Stellar Color and Effective Temperature Sequence". Retrieved 2022-05-14.
- ^ a b Steigerwald, Bill (10 March 2019). ""Goldilocks" stars may be "just right" for finding habitable worlds". nasa.gov (Press release). NASA Goddard SFC. Retrieved 2022-12-06.
- ^ "Alpha Centauri B". SIMBAD. Centre de données astronomiques de Strasbourg. Retrieved 2019-06-05.
- ^ Engle, S. G.; Guinan, E. F. (2011). "Red Dwarf Stars: Ages, Rotation, Magnetic Dynamo Activity and the Habitability of Hosted Planets". 9th Pacific Rim Conference on Stellar Astrophysics. Proceedings of a Conference Held at Lijiang. 451: 285. arXiv:1111.2872. Bibcode:2011ASPC..451..285E.
- ^ Heath, Martin J.; Doyle, Laurance R.; Joshi, Manoj M.; Haberle, Robert M. (1999). "Habitability of planets around red dwarf stars". Origins of Life and Evolution of the Biosphere. 29 (4): 405–24. Bibcode:1999OLEB...29..405H. doi:10.1023/A:1006596718708. PMID 10472629. S2CID 12329736.
- ^ Farihi, J.; Hoard, D. W.; Wachter, S. (2006). "White Dwarf-Red Dwarf Systems Resolved with the Hubble Space Telescope. I. First Results". The Astrophysical Journal. 646 (1): 480–492. arXiv:astro-ph/0603747. Bibcode:2006ApJ...646..480F. doi:10.1086/504683. S2CID 16750158.
- ^ Pettersen, B. R.; Hawley, S. L. (1989). "A spectroscopic survey of red dwarf flare stars". Astronomy and Astrophysics. 217: 187. Bibcode:1989A&A...217..187P.
- ^ Alekseev, I. Yu.; Kozlova, O. V. (2002). "Starspots and active regions on the emission red dwarf star LQ Hydrae". Astronomy and Astrophysics. 396: 203–211. Bibcode:2002A&A...396..203A. doi:10.1051/0004-6361:20021424.
- ^ Cuntz, M.; Guinan, E. F. (2016). "About Exobiology: The Case for Dwarf K Stars". The Astrophysical Journal. 827 (1): 79. arXiv:1606.09580. Bibcode:2016ApJ...827...79C. doi:10.3847/0004-637X/827/1/79. S2CID 119268294.
- ^ Stevenson, David S. (2013). "Stellar Evolution Near the Bottom of the Main Sequence". Under a Crimson Sun. Astronomers' Universe. pp. 63–103. doi:10.1007/978-1-4614-8133-1_3. ISBN 978-1-4614-8132-4.
- ^ Johnson, H. L.; Morgan, W. W. (1953). "Fundamental stellar photometry for standards of spectral type on the Revised System of the Yerkes Spectral Atlas". The Astrophysical Journal. 117: 313. Bibcode:1953ApJ...117..313J. doi:10.1086/145697.
- ^ Garrison, R. F. (1993). "Anchor Points for the MK System of Spectral Classification". American Astronomical Society Meeting Abstracts. 183. Bibcode:1993AAS...183.1710G.
- ^ a b Keenan, Philip C.; McNeil, Raymond C. (1989). "The Perkins Catalog of Revised MK Types for the Cooler Stars". The Astrophysical Journal Supplement Series. 71: 245. Bibcode:1989ApJS...71..245K. doi:10.1086/191373.
- ^ Johnson, H. L.; Morgan, W. W. (1953). "Fundamental stellar photometry for standards of spectral type on the Revised System of the Yerkes Spectral Atlas". The Astrophysical Journal. 117: 313. Bibcode:1953ApJ...117..313J. doi:10.1086/145697.
- ^ Pecaut, Mark J.; Mamajek, Eric E. (2013). "Intrinsic Colors, Temperatures, and Bolometric Corrections of Pre-main-sequence Stars". The Astrophysical Journal Supplement Series. 208 (1): 9. arXiv:1307.2657. Bibcode:2013ApJS..208....9P. doi:10.1088/0067-0049/208/1/9. S2CID 119308564.
- ^ Shiga, David (6 May 2009). "Orange stars are just right for life". New Scientist. Retrieved 2019-06-05.
- ^ "Orange stars are just right for life". New Scientist. 6 May 2009. Retrieved 2019-06-05.
- ^ Heller, René; Armstrong, John (2014). "Superhabitable worlds". Astrobiology. 14 (1): 50–66. arXiv:1401.2392. Bibcode:2014AsBio..14...50H. doi:10.1089/ast.2013.1088. PMID 24380533. S2CID 1824897.
- ^ a b Richey-Yowell, Tyler; Shkolnik, Evgenya L.; Loyd, R.O. Parke; et al. (2022-04-26). "HAZMAT. VIII. A spectroscopic analysis of the ultraviolet evolution of K stars: Additional evidence for K dwarf rotational stalling in the first gigayear". The Astrophysical Journal. 929 (2). American Astronomical Society: 169. arXiv:2203.15237. Bibcode:2022ApJ...929..169R. doi:10.3847/1538-4357/ac5f48.
- ^ Toubet, Georgina (22 April 2022). "What UV radiation from the 'Goldilocks' stars could really mean". slashgear.com. Retrieved 2022-05-14.
K-type main-sequence star
View on GrokipediaDefinition and Classification
Spectral Type Designation
The Morgan-Keenan (MK) spectral classification system organizes stars into spectral types based on the appearance of their absorption lines in spectra, which reflect surface temperatures, with K-type stars positioned as an intermediate class between the warmer G-type (yellow) dwarfs and the cooler M-type (red) dwarfs.[6] This system uses a sequence of letters O through M, decreasing in temperature, where K-type spectra show strengthening metallic lines and weakening hydrogen lines compared to G types, while exhibiting broader hydrogen Balmer lines than M types.[7] K-type stars are further subdivided into subtypes from K0 to K9, with each integer subclass corresponding to a roughly linear decrease in effective temperature, ranging from approximately 5,300 K for K0 to 3,700 K for K9; classification relies on the ratios of specific spectral line strengths, such as those from neutral metals like titanium (Ti I) and iron (Fe I), compared to standard reference spectra.[8] These subtypes are determined through direct comparison to atlas standards rather than absolute temperature measurements, ensuring consistency across observations.[9] The spectral classification system originated with Annie Jump Cannon's Harvard scheme in the early 1900s, which established the OBAFGKM sequence based on Harvard Observatory photographic plates, and was refined into the two-dimensional MK system by William W. Morgan and Philip C. Keenan in 1943 to incorporate luminosity effects alongside temperature.[10][9] Within this framework, the luminosity class V designates main-sequence dwarfs, characterized by narrower absorption lines due to lower surface gravities compared to giants (class III) or supergiants (class I), which show broader lines from expanded atmospheres.[11] K-type main-sequence stars typically exhibit a B-V color index between approximately 0.8 and 1.4, reflecting their orange hues intermediate between yellow G stars and red M stars.[12]Main-Sequence Position
K-type main-sequence stars occupy the lower portion of the main sequence on the Hertzsprung-Russell (HR) diagram, positioned between G-type stars like the Sun and cooler M-type stars. This placement reflects their intermediate effective temperatures, typically spanning spectral subclasses from K0 to K9, where they form a continuous band of hydrogen-fusing dwarfs cooler and less luminous than solar analogs.[13][14] In their cores, these stars generate energy through the fusion of hydrogen into helium primarily via the proton-proton chain reaction, which dominates in low-mass stars due to their relatively modest core temperatures of around 10-15 million Kelvin. This process sustains hydrostatic equilibrium and radiative pressure balance.[15][16] These stars are prevalent in the thin disk populations of galaxies like the Milky Way.[17][2]Physical Properties
Temperature and Luminosity
K-type main-sequence stars, also known as K dwarfs or orange dwarfs, have effective temperatures ranging from approximately 3,700 K to 5,300 K.[18] This temperature range results in an orange-red appearance to the human eye, as their photospheres emit light that peaks in the yellow-orange portion of the visible spectrum.[19] The cooler end of the spectrum, around 3,700 K for late K subtypes like K7, produces a distinctly reddish hue, while earlier subtypes near 5,300 K for K0 appear more yellowish-orange.[18] Their luminosities typically span 0.08 to 0.6 solar luminosities (L⊙), with values decreasing as the spectral subclass progresses from early to late K types.[8] For example, a K0 V star has a luminosity of about 0.6 L⊙, while a K5 V star is around 0.15 L⊙, reflecting the combined effects of decreasing temperature and radius along the main sequence.[8] This luminosity range positions K dwarfs as intermediate in brightness between hotter G-type stars like the Sun and cooler M dwarfs. Approximating K dwarfs as blackbody radiators, their peak emission shifts from the near-infrared toward the visible wavelengths as temperature increases within the class, influencing their observed colors.[18] The color index B-V, a measure of blueness to redness, ranges from 0.82 for K0 V to 1.15 for K5 V, quantifying this progression.[18] The luminosity-temperature relation for these stars follows the Stefan-Boltzmann law, where luminosity L is proportional to the square of the radius (normalized to solar) times the fourth power of the effective temperature (in solar units): L ∝ (R/R⊙)² (T/T⊙)⁴, though main-sequence scaling incorporates empirical radius adjustments without altering the fundamental proportionality.[20]Mass, Radius, and Composition
K-type main-sequence stars typically have masses ranging from 0.5 to 0.8 solar masses (M⊙), a range that places them below solar mass but above M-type dwarfs.[21] This mass interval directly influences their nuclear fusion rates in the core, where lower masses result in reduced central temperatures and pressures, leading to slower hydrogen-to-helium conversion compared to more massive G-type stars.[21] Their radii span approximately 0.7 to 0.9 solar radii (R⊙), making them slightly smaller than the Sun overall, though early K subtypes approach solar dimensions.[21] This compact size contributes to denser stellar cores relative to the Sun, with mean densities exceeding the solar value due to the mass-radius relation for low-mass main-sequence stars.[21] The surface gravity, characterized by log g ≈ 4.5 (in cgs units), arises from this combination of mass and radius and plays a key role in broadening spectral lines through gravitational redshift and pressure effects.[21] In terms of composition, K-type main-sequence stars generally exhibit solar metallicity, with a heavy element mass fraction Z ≈ 0.02, encompassing all elements heavier than helium.[22] The primordial mix consists of approximately 73% hydrogen and 25% helium by mass, reflecting the standard cosmic abundances retained in these stars since formation.[22] However, in older stellar populations, such as those in the galactic thick disk or halo, enhancements in alpha elements (e.g., O, Mg, Si) are common, with [α/Fe] ratios up to +0.3 dex, indicating contributions from Type II supernovae in early chemical enrichment.[23]Spectral Characteristics
Absorption Lines and Spectra
K-type main-sequence stars exhibit spectra characterized by a progression of absorption features that reflect their intermediate temperatures and compositions, distinguishing them from hotter G-type and cooler M-type stars. The dominant absorption lines include strong neutral calcium (Ca I) at 4226 Å, which becomes particularly prominent by mid-K subtypes such as K5, serving as a key indicator of the strengthening metallic spectrum in these dwarfs.[9] Balmer lines, such as Hβ and Hγ, are notably weakened compared to earlier spectral types, with their intensities decreasing steadily from K0 onward as hydrogen ionization diminishes.[9] In cooler late-K subtypes (K7 and beyond), titanium oxide (TiO) bands begin to appear subtly in the blue and green regions, marking the transition toward M-type molecular-dominated spectra.[9] The spectral progression across K subtypes illustrates a smooth evolution from G-like characteristics at K0 to M-like features at K9. Early K stars (K0–K2) display relatively strong Balmer lines reminiscent of late G dwarfs, alongside increasing strengths in neutral metal lines like iron (Fe I) at wavelengths such as 4383 Å and 4046 Å.[9] As subtypes advance to mid-K (K3–K5), the G-band (CH molecule) reaches a peak before fading, while the Ca I/Fe I line ratio grows, and magnesium hydride (MgH) emerges around 4780 Å, enhancing the complexity of the metallic spectrum.[9] By late K (K6–K9), molecular bands like TiO gain prominence, particularly in the 4700–5000 Å region, while Balmer lines further diminish, signaling the onset of cooler photospheric conditions that favor molecule formation over atomic hydrogen absorption.[9] This sequence is formalized in the Morgan-Keenan (MK) system, where line ratios and band strengths provide precise subclass assignments. Photospheric analysis of K-type spectra relies on line profile shapes to infer physical conditions, with Doppler broadening arising from stellar rotation, thermal motions, and microturbulence broadening the widths of features like Fe I lines.[24] These iron lines, along with chromium (Cr I) ratios (e.g., at 4254 Å), serve as reliable metallicity indicators, allowing derivation of [Fe/H] abundances that correlate with galactic chemical evolution in these common dwarfs.[9] Equivalent widths of such lines, measured relative to the local continuum, reveal deviations from solar metallicity, with cooler K subtypes showing enhanced sensitivity due to increased line blanketing.[24] Subclassification of K-type main-sequence stars is achieved using medium- to high-resolution spectrographs, where resolving powers R = λ/Δλ exceeding 10,000 enable clear separation of blended lines and accurate measurement of subtle band developments.[25] Instruments like the HERMES spectrograph on the Mercator telescope (R ≈ 85,000) or similar echelle systems facilitate detailed profiling in surveys of nearby K dwarfs, ensuring consistency with MK standards.[25] At these resolutions, the intrinsic line strengths and broadenings can be disentangled from instrumental effects, supporting precise temperature and abundance diagnostics.[26]Standard Reference Stars
Standard reference stars for K-type main-sequence classification are carefully selected nearby, bright examples whose spectra exemplify the defining characteristics of each spectral subclass within the Morgan-Keenan (MK) system. These standards enable astronomers to calibrate the intensity and profiles of key absorption lines, such as those from neutral metals and molecular bands, ensuring consistent classification across observations. The International Astronomical Union recognizes the MK framework for spectral typing, with primary standards chosen for their minimal variability, clear spectral features, and accessibility from both hemispheres. Spectra of these standards are archived in dedicated databases, including the Revised Catalog of MK Spectral Types for the Cooler Stars, which provides high-quality digital atlases for comparison purposes.[27] Prominent primary MK standards for early to mid-K subtypes include Sigma Draconis (K0V), Epsilon Eridani (K2V), and 61 Cygni A (K5V). These stars were originally designated based on photographic and photoelectric spectroscopy in the mid-20th century, with their subclasses verified through detailed line-ratio analyses. For instance, Sigma Draconis exhibits strong Ca II H and K lines typical of early K dwarfs, while 61 Cygni A shows enhanced molecular CN bands characteristic of later subtypes. Their selection emphasizes proximity and brightness to facilitate high-resolution observations. The following table summarizes key observational properties of these standards, incorporating modern astrometric refinements from Gaia DR3 (2022):| Star Name | Spectral Type | Apparent Magnitude (V) | Distance (pc) | Notes |
|---|---|---|---|---|
| Sigma Draconis | K0V | 4.67 | 5.76 ± 0.0002 | Anchor for early K; parallax from Gaia DR3 confirms main-sequence status.[28] |
| Epsilon Eridani | K2V | 3.73 | 3.22 ± 0.001 | Nearby benchmark; precise Gaia DR3 parameters verify subclass.[28] |
| 61 Cygni A | K5V | 5.21 | 3.50 ± 0.0004 | Binary primary; distance from Gaia DR3 for luminosity calibration.[28][29] |
