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What Must Occur for an Object to Be Considered a Main Sequence Star?

Continuous band of stars that appears on plots of stellar color versus brightness

In astronomy, the principal sequence is a continuous and distinctive band of stars that appears on plots of stellar colour versus brightness. These color-magnitude plots are known equally Hertzsprung–Russell diagrams after their co-developers, Ejnar Hertzsprung and Henry Norris Russell. Stars on this band are known as main-sequence stars or dwarf stars. These are the near numerous true stars in the universe, and include the Sun.

After condensation and ignition of a star, it generates thermal energy in its dense core region through nuclear fusion of hydrogen into helium. During this stage of the star'due south lifetime, it is located on the main sequence at a position determined primarily by its mass, only likewise based upon its chemical composition and historic period. The cores of principal-sequence stars are in hydrostatic equilibrium, where outward thermal pressure from the hot core is counterbalanced by the inward pressure of gravitational collapse from the overlying layers. The strong dependence of the charge per unit of energy generation on temperature and pressure helps to sustain this balance. Energy generated at the core makes its way to the surface and is radiated abroad at the photosphere. The free energy is carried by either radiation or convection, with the latter occurring in regions with steeper temperature gradients, higher opacity or both.

The principal sequence is sometimes divided into upper and lower parts, based on the dominant procedure that a star uses to generate energy. Stars below nearly 1.5 times the mass of the Lord's day (i.vM ) primarily fuse hydrogen atoms together in a serial of stages to form helium, a sequence called the proton–proton chain. Higher up this mass, in the upper main sequence, the nuclear fusion process mainly uses atoms of carbon, nitrogen, and oxygen every bit intermediaries in the CNO cycle that produces helium from hydrogen atoms. Main-sequence stars with more than two solar masses undergo convection in their core regions, which acts to stir upward the newly created helium and maintain the proportion of fuel needed for fusion to occur. Beneath this mass, stars accept cores that are entirely radiative with convective zones near the surface. With decreasing stellar mass, the proportion of the star forming a convective envelope steadily increases. Main-sequence stars beneath 0.fourM undergo convection throughout their mass. When core convection does not occur, a helium-rich cadre develops surrounded by an outer layer of hydrogen.

In general, the more massive a star is, the shorter its lifespan on the main sequence. Afterwards the hydrogen fuel at the core has been consumed, the star evolves abroad from the main sequence on the Hr diagram, into a supergiant, reddish giant, or straight to a white dwarf.

History [edit]

Hot and brilliant O-blazon main-sequence stars in star-forming regions. These are all regions of star formation that contain many hot young stars including several bright stars of spectral blazon O.[1]

In the early on part of the 20th century, information almost the types and distances of stars became more than readily available. The spectra of stars were shown to have distinctive features, which allowed them to be categorized. Annie Jump Cannon and Edward C. Pickering at Harvard College Observatory developed a method of categorization that became known as the Harvard Classification Scheme, published in the Harvard Annals in 1901.[ii]

In Potsdam in 1906, the Danish astronomer Ejnar Hertzsprung noticed that the reddest stars—classified as K and One thousand in the Harvard scheme—could be divided into two distinct groups. These stars are either much brighter than the Sun, or much fainter. To distinguish these groups, he called them "behemothic" and "dwarf" stars. The following year he began studying star clusters; big groupings of stars that are co-located at approximately the same distance. He published the get-go plots of color versus luminosity for these stars. These plots showed a prominent and continuous sequence of stars, which he named the Primary Sequence.[3]

At Princeton University, Henry Norris Russell was following a similar class of inquiry. He was studying the relationship between the spectral classification of stars and their actual effulgence as corrected for distance—their absolute magnitude. For this purpose he used a set of stars that had reliable parallaxes and many of which had been categorized at Harvard. When he plotted the spectral types of these stars against their absolute magnitude, he found that dwarf stars followed a distinct human relationship. This immune the existent brightness of a dwarf star to exist predicted with reasonable accuracy.[4]

Of the reddish stars observed past Hertzsprung, the dwarf stars besides followed the spectra-luminosity relationship discovered by Russell. However, the giant stars are much brighter than dwarfs and so exercise not follow the same relationship. Russell proposed that the "giant stars must have low density or great surface-brightness, and the reverse is true of dwarf stars". The same curve also showed that there were very few faint white stars.[4]

In 1933, Bengt Strömgren introduced the term Hertzsprung–Russell diagram to denote a luminosity-spectral class diagram.[5] This name reflected the parallel development of this technique by both Hertzsprung and Russell earlier in the century.[3]

Equally evolutionary models of stars were adult during the 1930s, it was shown that, for stars of a compatible chemical composition, a relationship exists between a star's mass and its luminosity and radius. That is, for a given mass and composition, at that place is a unique solution for determining the star'due south radius and luminosity. This became known as the Vogt–Russell theorem; named afterwards Heinrich Vogt and Henry Norris Russell. By this theorem, when a star'southward chemic limerick and its position on the master sequence is known, so likewise is the star's mass and radius. (However, information technology was subsequently discovered that the theorem breaks downward somewhat for stars of non-uniform composition.)[6]

A refined scheme for stellar classification was published in 1943 by William Wilson Morgan and Philip Childs Keenan.[7] The MK nomenclature assigned each star a spectral type—based on the Harvard classification—and a luminosity class. The Harvard classification had been developed by assigning a different letter to each star based on the strength of the hydrogen spectral line, before the relationship between spectra and temperature was known. When ordered by temperature and when duplicate classes were removed, the spectral types of stars followed, in order of decreasing temperature with colors ranging from blue to red, the sequence O, B, A, F, K, 1000, and 1000. (A popular mnemonic for memorizing this sequence of stellar classes is "Oh Be A Fine Girl/Guy, Kiss Me".) The luminosity class ranged from I to V, in order of decreasing luminosity. Stars of luminosity course 5 belonged to the master sequence.[eight]

In April 2018, astronomers reported the detection of the most afar "ordinary" (i.east., main sequence) star, named Icarus (formally, MACS J1149 Lensed Star 1), at 9 billion calorie-free-years away from Earth.[9] [10]

Formation and evolution [edit]

When a protostar is formed from the collapse of a giant molecular cloud of gas and dust in the local interstellar medium, the initial limerick is homogeneous throughout, consisting of about 70% hydrogen, 28% helium, and trace amounts of other elements, by mass.[11] The initial mass of the star depends on the local weather condition inside the cloud. (The mass distribution of newly formed stars is described empirically by the initial mass function.)[12] During the initial plummet, this pre-main-sequence star generates free energy through gravitational contraction. One time sufficiently dumbo, stars begin converting hydrogen into helium and giving off free energy through an exothermic nuclear fusion process.[eight]

When nuclear fusion of hydrogen becomes the dominant energy production process and the excess energy gained from gravitational contraction has been lost,[xiii] the star lies along a curve on the Hertzsprung–Russell diagram (or HR diagram) chosen the standard primary sequence. Astronomers will sometimes refer to this phase as "goose egg age main sequence", or ZAMS.[14] [15] The ZAMS curve can be calculated using calculator models of stellar properties at the signal when stars begin hydrogen fusion. From this point, the brightness and surface temperature of stars typically increment with age.[16]

A star remains near its initial position on the main sequence until a pregnant amount of hydrogen in the core has been consumed, so begins to evolve into a more luminous star. (On the HR diagram, the evolving star moves upwardly and to the right of the chief sequence.) Thus the main sequence represents the main hydrogen-burning phase of a star'south lifetime.[8]

Properties [edit]

The bulk of stars on a typical Hour diagram prevarication along the main-sequence curve. This line is pronounced because both the spectral type and the luminosity depend only on a star's mass, at least to zeroth-gild approximation, as long equally it is fusing hydrogen at its core—and that is what almost all stars spend well-nigh of their "agile" lives doing.[17]

The temperature of a star determines its spectral type via its effect on the physical backdrop of plasma in its photosphere. A star's energy emission as a function of wavelength is influenced by both its temperature and composition. A key indicator of this energy distribution is given by the colour index, B −V, which measures the star'due south magnitude in bluish (B) and greenish-xanthous (V) light past means of filters.[note 1] This difference in magnitude provides a measure of a star's temperature.

Dwarf terminology [edit]

Principal-sequence stars are called dwarf stars,[18] [19] simply this terminology is partly historical and can be somewhat disruptive. For the cooler stars, dwarfs such every bit red dwarfs, orange dwarfs, and yellow dwarfs are indeed much smaller and dimmer than other stars of those colors. However, for hotter blueish and white stars, the difference in size and brightness between then-called "dwarf" stars that are on the chief sequence so-called "giant" stars that are not, becomes smaller. For the hottest stars the deviation is not straight observable and for these stars the terms "dwarf" and "giant" refer to differences in spectral lines which indicate whether a star is on or off the main sequence. Nevertheless, very hot main-sequence stars are still sometimes chosen dwarfs, even though they have roughly the same size and brightness every bit the "giant" stars of that temperature.[20]

The common use of "dwarf" to mean main sequence is disruptive in some other manner, because in that location are dwarf stars which are not main-sequence stars. For case, a white dwarf is the dead core left over later on a star has shed its outer layers, and is much smaller than a master-sequence star, roughly the size of Earth. These correspond the final evolutionary stage of many main-sequence stars.[21]

Parameters [edit]

Comparison of main sequence stars of each spectral class

By treating the star as an idealized energy radiator known equally a black body, the luminosity 50 and radius R can exist related to the effective temperature T eff by the Stefan–Boltzmann law:

Fifty = four π σ R 2 T eff 4 {\displaystyle L=4\pi \sigma R^{ii}T_{\text{eff}}^{four}}

where σ is the Stefan–Boltzmann constant. As the position of a star on the HR diagram shows its estimate luminosity, this relation can be used to estimate its radius.[22]

The mass, radius and luminosity of a star are closely interlinked, and their respective values can exist approximated by three relations. Outset is the Stefan–Boltzmann law, which relates the luminosity 50, the radius R and the surface temperature T eff. Second is the mass–luminosity relation, which relates the luminosity L and the mass M. Finally, the relationship between Thousand and R is close to linear. The ratio of K to R increases past a factor of simply three over 2.v orders of magnitude of Thou. This relation is roughly proportional to the star's inner temperature TI , and its extremely slow increase reflects the fact that the rate of energy generation in the cadre strongly depends on this temperature, whereas it has to fit the mass–luminosity relation. Thus, a too high or also low temperature volition result in stellar instability.

A better approximation is to take ε = 50/M , the energy generation rate per unit of measurement mass, as ε is proportional to TI 15, where TI is the core temperature. This is suitable for stars at least as massive every bit the Sun, exhibiting the CNO bicycle, and gives the better fit RM 0.78.[23]

Sample parameters [edit]

The table below shows typical values for stars forth the main sequence. The values of luminosity (L), radius (R) and mass (M) are relative to the Sunday—a dwarf star with a spectral classification of G2 V. The actual values for a star may vary by as much as 20–30% from the values listed below.[24]

Table of main-sequence stellar parameters[25]
Stellar
class
Radius,
R/R
Mass,
M/M
Luminosity,
L/50
Temp.
(K)
Examples[26]
O2 12 100 800,000 fifty,000 BI 253
O6 09.8 035 180,000 38,000 Thetaane Orionis C
B0 07.4 0eighteen 020,000 xxx,000 Phi1 Orionis
B5 0three.8 00six.5 000,800 16,400 Pi Andromedae A
A0 0ii.5 003.2 000,0lxxx x,800 Alpha Coronae Borealis A
A5 01.vii 002.i 000,020 0eight,620 Beta Pictoris
F0 01.3 001.vii 000,006 07,240 Gamma Virginis
F5 01.2 00i.3 000,00two.five 06,540 Eta Arietis
G0 0ane.05 001.ten 000,00i.26 05,920 Beta Comae Berenices
G2 0i.00 00ane.00 000,001.00 0five,780 Sunday [note ii]
G5 00.93 000.93 000,000.79 05,610 Blastoff Mensae
K0 00.85 000.78 000,000.forty 05,240 70 Ophiuchi A
K5 00.74 000.69 000,000.xvi 0iv,410 61 Cygni A[27]
M0 00.51 000.60 000,000.072 03,800 Lacaille 8760
M5 00.eighteen 000.fifteen 000,000.0027 03,120 EZ Aquarii A
M8 00.eleven 000.08 000,000.0004 0two,650 Van Biesbroeck'due south star[28]
L1 00.09 000.07 000,000.00017 02,200 2MASS J0523−1403

Free energy generation [edit]

Logarithm of the relative free energy output (ε) of proton–proton (PP), CNO and triple-α fusion processes at different temperatures (T). The dashed line shows the combined energy generation of the PP and CNO processes inside a star. At the Dominicus'south cadre temperature, the PP process is more than efficient.

All primary-sequence stars take a core region where energy is generated by nuclear fusion. The temperature and density of this cadre are at the levels necessary to sustain the energy production that will support the residue of the star. A reduction of energy production would cause the overlaying mass to compress the core, resulting in an increase in the fusion rate because of higher temperature and force per unit area. Likewise an increase in energy production would cause the star to expand, lowering the pressure level at the core. Thus the star forms a self-regulating organization in hydrostatic equilibrium that is stable over the form of its main-sequence lifetime.[29]

Main-sequence stars utilise two types of hydrogen fusion processes, and the charge per unit of energy generation from each blazon depends on the temperature in the cadre region. Astronomers separate the main sequence into upper and lower parts, based on which of the two is the dominant fusion process. In the lower main sequence, energy is primarily generated as the outcome of the proton–proton chain, which directly fuses hydrogen together in a series of stages to produce helium.[xxx] Stars in the upper main sequence have sufficiently high core temperatures to efficiently use the CNO bicycle (run into chart). This process uses atoms of carbon, nitrogen, and oxygen equally intermediaries in the procedure of fusing hydrogen into helium.

At a stellar core temperature of xviii meg Kelvin, the PP procedure and CNO cycle are equally efficient, and each type generates half of the star'southward internet luminosity. Every bit this is the core temperature of a star with nearly 1.v G , the upper master sequence consists of stars above this mass. Thus, roughly speaking, stars of spectral class F or cooler belong to the lower main sequence, while A-type stars or hotter are upper primary-sequence stars.[16] The transition in primary energy production from one form to the other spans a range departure of less than a unmarried solar mass. In the Dominicus, a i solar-mass star, merely 1.5% of the energy is generated past the CNO cycle.[31] By contrast, stars with ane.eight Thousand or above generate almost their entire energy output through the CNO wheel.[32]

The observed upper limit for a chief-sequence star is 120–200 Thou .[33] The theoretical explanation for this limit is that stars in a higher place this mass tin can not radiate energy fast enough to remain stable, so any additional mass will exist ejected in a series of pulsations until the star reaches a stable limit.[34] The lower limit for sustained proton–proton nuclear fusion is nearly 0.08 Grand or 80 times the mass of Jupiter.[thirty] Below this threshold are sub-stellar objects that can non sustain hydrogen fusion, known every bit brown dwarfs.[35]

Structure [edit]

This diagram shows a cross-section of a Sunday-like star, showing the internal structure.

Because there is a temperature difference between the core and the surface, or photosphere, energy is transported outward. The ii modes for transporting this energy are radiation and convection. A radiation zone, where energy is transported by radiation, is stable against convection and there is very piffling mixing of the plasma. By contrast, in a convection zone the free energy is transported past bulk movement of plasma, with hotter fabric rising and cooler cloth descending. Convection is a more efficient manner for carrying energy than radiation, but information technology volition only occur under conditions that create a steep temperature gradient.[29] [36]

In massive stars (above 10 Thou )[37] the rate of energy generation past the CNO bike is very sensitive to temperature, so the fusion is highly concentrated at the core. Consequently, there is a high temperature gradient in the cadre region, which results in a convection zone for more efficient energy transport.[xxx] This mixing of material around the cadre removes the helium ash from the hydrogen-burning region, allowing more of the hydrogen in the star to be consumed during the master-sequence lifetime. The outer regions of a massive star ship energy past radiation, with little or no convection.[29]

Intermediate-mass stars such equally Sirius may transport energy primarily past radiation, with a small core convection region.[38] Medium-sized, low-mass stars like the Lord's day take a core region that is stable confronting convection, with a convection zone almost the surface that mixes the outer layers. This results in a steady buildup of a helium-rich core, surrounded past a hydrogen-rich outer region. By dissimilarity, cool, very low-mass stars (beneath 0.4 M ) are convective throughout.[12] Thus the helium produced at the core is distributed beyond the star, producing a relatively uniform atmosphere and a proportionately longer principal-sequence lifespan.[29]

Luminosity-colour variation [edit]

The Sun is the about familiar case of a main-sequence star

As non-fusing helium ash accumulates in the cadre of a main-sequence star, the reduction in the abundance of hydrogen per unit mass results in a gradual lowering of the fusion charge per unit inside that mass. Since it is the outflow of fusion-supplied energy that supports the higher layers of the star, the core is compressed, producing higher temperatures and pressures. Both factors increase the charge per unit of fusion thus moving the equilibrium towards a smaller, denser, hotter core producing more energy whose increased outflow pushes the college layers farther out. Thus there is a steady increase in the luminosity and radius of the star over time.[xvi] For example, the luminosity of the early Sun was simply about lxx% of its current value.[39] As a star ages this luminosity increase changes its position on the Hour diagram. This effect results in a broadening of the main sequence band because stars are observed at random stages in their lifetime. That is, the master sequence band develops a thickness on the HR diagram; information technology is not merely a narrow line.[40]

Other factors that broaden the primary sequence band on the HR diagram include uncertainty in the distance to stars and the presence of unresolved binary stars that can alter the observed stellar parameters. Withal, even perfect ascertainment would prove a fuzzy primary sequence considering mass is not the just parameter that affects a star'due south color and luminosity. Variations in chemical composition acquired past the initial abundances, the star'due south evolutionary status,[41] interaction with a shut companion,[42] rapid rotation,[43] or a magnetic field can all slightly change a primary-sequence star's Hour diagram position, to proper noun merely a few factors. Equally an example, in that location are metal-poor stars (with a very low abundance of elements with higher atomic numbers than helium) that lie simply below the primary sequence and are known as subdwarfs. These stars are fusing hydrogen in their cores and so they mark the lower edge of master sequence fuzziness caused by variance in chemical composition.[44]

A nigh vertical region of the HR diagram, known as the instability strip, is occupied by pulsating variable stars known every bit Cepheid variables. These stars vary in magnitude at regular intervals, giving them a pulsating appearance. The strip intersects the upper part of the main sequence in the region of class A and F stars, which are betwixt 1 and two solar masses. Pulsating stars in this function of the instability strip that intersects the upper office of the main sequence are called Delta Scuti variables. Chief-sequence stars in this region experience only small changes in magnitude, and so this variation is hard to detect.[45] Other classes of unstable main-sequence stars, like Beta Cephei variables, are unrelated to this instability strip.

Lifetime [edit]

This plot gives an example of the mass-luminosity human relationship for zero-age main-sequence stars. The mass and luminosity are relative to the nowadays-24-hour interval Sun.

The total amount of free energy that a star tin generate through nuclear fusion of hydrogen is limited by the amount of hydrogen fuel that can be consumed at the core. For a star in equilibrium, the thermal energy generated at the core must be at least equal to the energy radiated at the surface. Since the luminosity gives the corporeality of energy radiated per unit time, the full life span can exist estimated, to start approximation, equally the full energy produced divided by the star's luminosity.[46]

For a star with at least 0.v M , when the hydrogen supply in its cadre is exhausted and information technology expands to get a blood-red behemothic, information technology can start to fuse helium atoms to course carbon. The free energy output of the helium fusion process per unit mass is only about a tenth the energy output of the hydrogen process, and the luminosity of the star increases.[47] This results in a much shorter length of time in this stage compared to the primary-sequence lifetime. (For case, the Sun is predicted to spend 130 million years burning helium, compared to about 12 billion years burning hydrogen.)[48] Thus, almost 90% of the observed stars above 0.5 M will be on the main sequence.[49] On average, principal-sequence stars are known to follow an empirical mass–luminosity relationship.[50] The luminosity (L) of the star is roughly proportional to the total mass (M) every bit the following power police force:

L Thousand iii.5 {\displaystyle L\ \propto \ Thou^{3.5}}

This relationship applies to principal-sequence stars in the range 0.1–50 M .[51]

The amount of fuel available for nuclear fusion is proportional to the mass of the star. Thus, the lifetime of a star on the primary sequence can be estimated by comparing it to solar evolutionary models. The Lord's day has been a principal-sequence star for about four.5 billion years and it volition become a red behemothic in 6.v billion years,[52] for a full chief-sequence lifetime of roughly x10 years. Hence:[53]

Ï„ MS 10 ten years [ M Grand ] [ 50 Fifty ] = x x years [ K M ] 2.5 {\displaystyle \tau _{\text{MS}}\approx x^{x}{\text{years}}\left[{\frac {M}{M_{\bigodot }}}\right]\left[{\frac {L_{\bigodot }}{Fifty}}\right]=10^{10}{\text{years}}\left[{\frac {M}{M_{\bigodot }}}\correct]^{-two.5}}

where M and 50 are the mass and luminosity of the star, respectively, M {\displaystyle M_{\bigodot }} is a solar mass, L {\displaystyle L_{\bigodot }} is the solar luminosity and Ï„ MS {\displaystyle \tau _{\text{MS}}} is the star'southward estimated main-sequence lifetime.

Although more massive stars take more fuel to burn and might intuitively exist expected to last longer, they likewise radiate a proportionately greater amount with increased mass. This is required by the stellar equation of state; for a massive star to maintain equilibrium, the outward pressure of radiated energy generated in the core non just must but will rise to lucifer the titanic inward gravitational pressure of its envelope. Thus, the most massive stars may remain on the primary sequence for simply a few million years, while stars with less than a 10th of a solar mass may last for over a trillion years.[54]

The verbal mass-luminosity human relationship depends on how efficiently energy can exist transported from the cadre to the surface. A higher opacity has an insulating effect that retains more than free energy at the core, so the star does not need to produce as much energy to remain in hydrostatic equilibrium. By contrast, a lower opacity ways energy escapes more apace and the star must burn more fuel to remain in equilibrium.[55] A sufficiently high opacity can outcome in energy transport via convection, which changes the conditions needed to remain in equilibrium.[xvi]

In high-mass main-sequence stars, the opacity is dominated by electron scattering, which is nearly abiding with increasing temperature. Thus the luminosity only increases as the cube of the star's mass.[47] For stars below 10 M , the opacity becomes dependent on temperature, resulting in the luminosity varying approximately every bit the 4th power of the star's mass.[51] For very depression-mass stars, molecules in the atmosphere as well contribute to the opacity. Below most 0.v 1000 , the luminosity of the star varies as the mass to the power of two.3, producing a flattening of the gradient on a graph of mass versus luminosity. Fifty-fifty these refinements are simply an approximation, however, and the mass-luminosity relation can vary depending on a star'southward composition.[12]

Evolutionary tracks [edit]

Evolutionary track of a star like the sun

When a chief-sequence star has consumed the hydrogen at its core, the loss of energy generation causes its gravitational collapse to resume and the star evolves off the main sequence. The path which the star follows across the Hour diagram is called an evolutionary track.[56]

H–R diagram for two open up clusters: NGC 188 (bluish) is older and shows a lower plough off from the main sequence than M67 (yellow). The dots outside the two sequences are generally foreground and background stars with no relation to the clusters.

Stars with less than 0.23M [57] are predicted to straight become white dwarfs when energy generation by nuclear fusion of hydrogen at their core comes to a halt, but stars in this mass range take main-sequence lifetimes longer than the current historic period of the universe, then no stars are quondam enough for this to have occurred.

In stars more massive than 0.23M , the hydrogen surrounding the helium core reaches sufficient temperature and pressure to undergo fusion, forming a hydrogen-burning shell and causing the outer layers of the star to expand and cool. The stage as these stars move away from the chief sequence is known as the subgiant branch; it is relatively brief and appears every bit a gap in the evolutionary track since few stars are observed at that bespeak.

When the helium cadre of depression-mass stars becomes degenerate, or the outer layers of intermediate-mass stars cool sufficiently to become opaque, their hydrogen shells increment in temperature and the stars offset to get more luminous. This is known equally the red-giant branch; it is a relatively long-lived stage and it appears prominently in H–R diagrams. These stars volition eventually cease their lives as white dwarfs.[58] [59]

The most massive stars do not go crimson giants; instead, their cores quickly become hot plenty to fuse helium and eventually heavier elements and they are known as supergiants. They follow approximately horizontal evolutionary tracks from the primary sequence across the top of the H–R diagram. Supergiants are relatively rare and do not testify prominently on most H–R diagrams. Their cores will eventually collapse, ordinarily leading to a supernova and leaving backside either a neutron star or black hole.[threescore]

When a cluster of stars is formed at near the same time, the primary-sequence lifespan of these stars volition depend on their individual masses. The most massive stars will get out the main sequence kickoff, followed in sequence by stars of ever lower masses. The position where stars in the cluster are leaving the principal sequence is known as the turnoff betoken. By knowing the chief-sequence lifespan of stars at this point, it becomes possible to gauge the age of the cluster.[61]

Run into also [edit]

  • Lists of astronomical objects

Notes [edit]

  1. ^ By measuring the divergence between these values, this eliminates the need to correct the magnitudes for altitude. Yet, this can be afflicted by interstellar extinction.
  2. ^ The Sun is a typical type G2V star.

References [edit]

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Further reading [edit]

General [edit]

  • Kippenhahn, Rudolf, 100 Billion Suns, Basic Books, New York, 1983.

Technical [edit]

  • Arnett, David (1996). Supernovae and Nucleosynthesis. Princeton: Princeton Academy Press.
  • Bahcall, John N. (1989). Neutrino Astrophysics . Cambridge: Cambridge Academy Printing. ISBN9780521379755.
  • Bahcall, John N.; Pinsonneault, M.H.; Basu, Sarbani (2001). "Solar Models: Current Epoch and Time Dependences, Neutrinos, and Helioseismological Properties". The Astrophysical Journal. 555 (two): 990–1012. arXiv:astro-ph/0010346. Bibcode:2001ApJ...555..990B. doi:10.1086/321493. S2CID 13798091.
  • Barnes, C. A.; Clayton, D. D.; Schramm, D. N., eds. (1982). Essays in Nuclear Astrophysics. Cambridge: Cambridge University Press.
  • Bowers, Richard L.; Deeming, Terry (1984). Astrophysics I: Stars. Boston: Jones and Bartlett.
  • Carroll, Bradley West. & Ostlie, Dale A. (2007). An Introduction to Modern Astrophysics. San Francisco: Person Education Addison-Wesley. ISBN978-0-8053-0402-2.
  • Chabrier, Gilles; Baraffe, Isabelle (2000). "Theory of Depression-Mass Stars and Substellar Objects". Annual Review of Astronomy and Astrophysics. 38: 337–377. arXiv:astro-ph/0006383. Bibcode:2000ARA&A..38..337C. doi:10.1146/annurev.astro.38.1.337. S2CID 59325115.
  • Chandrasekhar, S. (1967). An Introduction to the study of stellar Structure. New York: Dover.
  • Clayton, Donald D. (1983). Principles of Stellar Evolution and Nucleosynthesis . Chicago: University of Chicago. ISBN9780226109527.
  • Cox, J. P.; Giuli, R. T. (1968). Principles of Stellar Structure. New York City: Gordon and Breach.
  • Fowler, William A.; Caughlan, Georgeanne R.; Zimmerman, Barbara A. (1967). "Thermonuclear Reaction Rates, I". Annual Review of Astronomy and Astrophysics. 5: 525. Bibcode:1967ARA&A...5..525F. doi:10.1146/annurev.aa.05.090167.002521.
  • Fowler, William A.; Caughlan, Georgeanne R.; Zimmerman, Barbara A. (1975). "Thermonuclear Reaction Rates, 2". Annual Review of Astronomy and Astrophysics. 13: 69. Bibcode:1975ARA&A..thirteen...69F. doi:10.1146/annurev.aa.13.090175.000441.
  • Hansen, Carl J.; Kawaler, Steven D.; Trimble, Virginia (2004). Stellar Interiors: Physical Principles, Construction, and Evolution, Second Edition. New York: Springer-Verlag.
  • Harris, Michael J.; Fowler, William A.; Caughlan, Georgeanne R.; Zimmerman, Barbara A. (1983). "Thermonuclear Reaction Rates, III". Annual Review of Astronomy and Astrophysics. 21: 165. Bibcode:1983ARA&A..21..165H. doi:10.1146/annurev.aa.21.090183.001121.
  • Iben, Icko, Jr (1967). "Stellar Evolution Within and Off the Principal Sequence". Annual Review of Astronomy and Astrophysics. 5: 571. Bibcode:1967ARA&A...5..571I. doi:10.1146/annurev.aa.05.090167.003035.
  • Iglesias, Carlos A.; Rogers, Forrest J. (1996). "Updated Opal Opacities". The Astrophysical Journal. 464: 943. Bibcode:1996ApJ...464..943I. doi:10.1086/177381.
  • Kippenhahn, Rudolf; Weigert, Alfred (1990). Stellar Structure and Development. Berlin: Springer-Verlag.
  • Liebert, James; Probst, Ronald M. (1987). "Very Low Mass Stars". Annual Review of Astronomy and Astrophysics. 25: 437. Bibcode:1987ARA&A..25..473L. doi:10.1146/annurev.aa.25.090187.002353.
  • Novotny, Eva (1973). Introduction to Stellar Atmospheres and Interior. New York City: Oxford Academy Press.
  • Padmanabhan, T. (2002). Theoretical Astrophysics. Cambridge: Cambridge University Press.
  • Prialnik, Dina (2000). An Introduction to the Theory of Stellar Structure and Evolution. Cambridge: Cambridge University Printing.
  • Shore, Steven N. (2003). The Tapestry of Modern Astrophysics. Hoboken: John Wiley and Sons.

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