What happens to a 0.7 solar mass star when it comes off the main sequence?

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Discussion Overview

The discussion centers on the evolutionary path of a 0.7 solar mass star as it transitions off the main sequence. Participants explore various theoretical models regarding its potential phases, including the red giant phase and the formation of white dwarfs, while considering the implications of the universe's age on these processes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that a 0.7 solar mass star may bypass the red giant phase and evolve directly into a white dwarf due to its inability to fuse helium, although this is less clear than for stars below 0.5 solar masses.
  • Others argue that it may enter the red giant phase and shed its outer atmosphere before becoming a white dwarf, but this process has not been observed due to the universe's current age.
  • One participant mentions that the main sequence lifetime for a 0.7 solar mass star is approximately 24 billion years, suggesting that it is unlikely to have reached the end of its life cycle yet.
  • Technical details regarding stellar lifetimes and mass thresholds for red giant phase ascent are discussed, with references to specific equations and models.
  • There is a suggestion that while a 0.7 solar mass star will eventually burn helium and form a red giant, the current age of the universe has not allowed for such stars to evolve to that stage.
  • Some participants express skepticism about the mass threshold for helium fusion, with differing views on the minimum mass required for significant helium fusion to occur.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the evolutionary fate of a 0.7 solar mass star, with multiple competing views on whether it will become a red giant or directly evolve into a white dwarf. Disagreement exists regarding the mass thresholds for helium fusion and the implications of the universe's age on stellar evolution.

Contextual Notes

Limitations include unresolved assumptions about the mass thresholds for helium fusion and the dependence of evolutionary pathways on the universe's age. The discussion highlights the complexity of stellar evolution models and the uncertainty surrounding low mass stars.

Maria76
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Let's say we have a star of 0.7 solar masses on the main sequence. Can somebody describe what happens to it when it comes off the main sequence?

Thanks
Maria
 
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They may [according to current models] bypass the red giant phase and evolve more or less directly into white dwarfs due to their inability to fuse helium. This is almost surely true for any star less than .5 solar masses. At .7 solar masses, the issue is less clear. It may enter the red giant phase then rapidly shed its outer atmosphere before settling in as a white dwarf. It is entirely possible, however, the universe is not yet old enough for a star of this size to have died of old age.
 
Chronos said:
It is entirely possible, however, the universe is not yet old enough for a star of this size to have died of old age.

Very likely the case. The Lifetime proportional to mass^3.5 approximation gives a main sequence lifetime of ~24 billion years for a star of .7 solar masses.
 
Main sequence stellar lifetime...


WMAP Universe age:
t_u = 1.373 \cdot 10^{10} \; \text{y}

Main sequence solar lifetime:
t_{L} = 1.1 \cdot 10^{10} \; \text{y}

Main sequence stellar lifetime:
\tau_{ms} = t_{L} \left( \frac{M_{\odot}}{M_s} \right)^{2.5}

Main sequence stellar lifetime greater than or equivalent to Universe lifetime:
\boxed{\tau_{ms} \geq t_u}

Integration by substitution:
t_{L} \left( \frac{M_{\odot}}{M_s} \right)^{2.5} \geq t_u

Main sequence minimum stellar mass threshold currently available for red giant phase branch ascention:
\boxed{M_s \leq M_{\odot} \left( \frac{t_u}{t_{L}} \right)^{-0.4}}

\boxed{M_s \leq 0.915 \cdot M_{\odot}}

Red Giant phase mass threshold:
0.23 \cdot M_{\odot} \leq M_s \leq 10 \cdot M_{\odot}

Wikipedia said:
Once a main sequence star consumes the hydrogen at its core, the loss of energy generation causes gravitational collapse to resume. For stars with less than 0.23 solar masses,[1] they are predicted to become white dwarfs once energy generation by nuclear fusion comes to a halt. For stars above this threshold with up to 10 solar masses, the hydrogen surrounding the helium core reaches sufficient temperature and pressure to undergo fusion, forming a hydrogen-burning shell. In consequence of this change, the outer envelope of the star expands and decreases in temperature, turning it into a red giant. At this point the star is evolving off the main sequence and entering the giant branch.
[/Color]
Reference:
http://en.wikipedia.org/wiki/Age_of_the_universe#WMAP"
http://en.wikipedia.org/wiki/Main_sequence#Lifetime"
http://en.wikipedia.org/wiki/Main_sequence#Evolutionary_tracks"
http://www.eso.org/public/outreach/press-rel/pr-2007/images/phot-29-07-normal.jpg"
 
Last edited by a moderator:
A better source for low mass stars are the papers by Laughlin, Adams and Bodenheimer - "The End of the Main Sequence" and its follow-up papers - but Wikipedia is more or less correct. A 0.7 solar mass star will eventually burn its helium and it will form a Red Giant, but there hasn't been time for such stars to evolve to such a late stage in the history of the present Universe. There do exist many white-dwarfs of that mass, and smaller, but that's because red-giants undergo a lot of mass loss - a 10 solar mass star will probably return about ~8.6 solar masses of material back to the interstellar medium. Our Sun is likely to return about ~0.46 solar masses, leaving a carbon/oxygen white-dwarf corpse of about 0.54 solar masses.

I do wonder if we can't engineer that final remnant as a gigantic fusion reactor, slowly trickling mass onto it until we creep up to the Chandrasekhar Limit. We could control the stages of collapse into neutronium by encouraging the formation of heavier elements, after carefully fusing the final mass into iron, then collapsing it into heavier and heavier elements before the final (hopefully not too quick) deconfinement of quarks in the core. If we could collapse it into a quark star some 6.96 km in radius (0.000001 solar radii) we can ultimately extract a total of ~1.87 trillion years worth of gravitational energy (counting the energy in years of present solar luminosity.)
 
I flinch at the .23 solar mass limit. I see no way helium fusion of any significance can occur in a star with such low mass.
 
Chronos said:
I flinch at the .23 solar mass limit. I see no way helium fusion of any significance can occur in a star with such low mass.

The lowest I've seen is about 0.3 solar masses, which is what the Adams/Laughlin/Bodenheimer paper says as well.
 
hydrogen burning shell...


Chronos said:
I flinch at the .23 solar mass limit. I see no way helium fusion of any significance can occur in a star with such low mass.

Wikipedia said:
For stars above this threshold with up to 10 solar masses, the hydrogen surrounding the helium core reaches sufficient temperature and pressure to undergo fusion, forming a hydrogen-burning shell.

ref. 1 said:
Upon emerging from its parent cloud core, the lowest mass star capable of burning hydrogen (M∗ ≈ 0.08M⊙).

A star with a slightly larger mass, M∗ = 0.23 M⊙, experiences the onset of a radiative core when the hydrogen mass fraction dips below 50%. The composition gradients which ensue are sufficient to briefly drive the star to lower effective temperature as the luminosity increases. In this sense, stars with mass M∗ = 0.23M⊙ represent the lowest mass objects that can become conventional “Red Giants”. At these low masses, however, the full giant phase is not completed. Stars with initial mass M∗ < 0.5 M⊙ will be unable to generate the high central temperatures (Tc ∼ 10^8 K) required for the helium flash; these stars abort their ascent up the giant branch by veering to the left in the H-R diagram.

At 0.23 solar masses it does not burn helium, the helium remains inert within a purely radiative core and burns a hydrogen shell surrounding the radiative helium core resulting in a red giant star.
[/Color]
Reference:
http://arxiv.org/PS_cache/astro-ph/pdf/9701/9701131v1.pdf"
 
Last edited by a moderator:

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