PES 106        Spring 2003

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General Astronomy II

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Lecture Notes:

Lives of Stars: Main Sequence, Giants and Supergiants

text: Chapter 13 (sections 13.3 - 13.7)


Main Sequence:

stars spend most of their lives as Main Sequence stars

Structure of Main Sequence stars depends on MASS

we can divide the main sequence into
  • lower main sequence (F, G, K, M)
    • low mass, low luminosity, low temperature
    • like the Sun
  • upper main sequence (O, B, A)
    • higher mass, higher luminosity, higher temperature
    • different nuclear fusion process
      • still H to He
      • different steps which require higher temperatures
    • different structure of star
      • convection layer next to smaller core
      • then radiative layer OUTSIDE convective layer
      • apparently no chromosphere or corona
    • stronger stellar winds

Stars are on main sequence as long as they have Hydrogen to burn:

  • very massive, hot stars: about 1 million years
    • lots of fuel, but burn it VERY quickly
  • stars like Sun: about 10 billion years
  • very low mass, cool stars: about 200 billion years
    • not much fuel, but burn it VERY slowly


Giants and Supergiants - - - - [CORRECTIONS IN BOLD ITALICS]

[Terminology varies depending on what book you use. Here I am using the terminology of our text book (Arny). Other books may refer to "Yellow Giants" as the "horizontal branch of Red Giants". (In fact, I have not found any other books so far that use the term "Yellow Giants".]

What happens when H burning stops ? Giants

Now no heat source in core

=> core will contract (to about 1/10 of original) and heat up (to about 100 million K)

shell just outside core gets hot and dense enough for H fusion to ignite in shell

outer layers of star expand (about 100x) and cool (about 3500K)

larger size = more luminosity (even with lower temperature) (about 2000x brighter)

cooler surface = redder color

so call these "Red Giants"

As the outer layers of high mass stars are cooling toward the "Red Giant" stage - they pass through a short phase as "Yellow Giants" (slightly smaller and slightly hotter). We will discuss this intermediate stage more shortly.

New fuels:

at higher temperatures and densities: other nuclear fusion reactions can occur:

REACTION

TEMPERATURE NEEDED

hydrogen to helium

10 million K

helium to carbon

100 million K

carbon to oxygen

600 million K

OTHERS

silicon to iron

1 - 3 billion K

NO FURTHER REACTIONS ARE POSSIBLE after iron

Helium Fusion

High mass stars only need to contact a little to achieve conditions suitable for Helium fusion to start

gradually core becomes main energy source again

outer layers contract and heat up

star remains a Red giant but increases in temperature (may also re-enter yellow giant stage)

Low mass stars (like the Sun) need to contract a lot !!

when a gas of atoms is compressed this much it becomes a "degenerate gas"
behavior is VERY different from normal gas

no longer expands when you heated (gas pressure is no longer connected to temperature)

Helium flash occurs - entire core ignites in minutes

huge release of energy changes core gas back to normal gas

star's core expands and outer layers shrink and heat up

star becomes a Yellow Giant


Yellow Giants - Pulsating Stars

when low mass stars start He fusion

intermediate stage prior to He fusion for high mass stars (can also re-occur later in life)

these stars often pulsate - swell and shrink in a regular repeating pattern

 unstable stage in star's life

radiation gets trapped in star's outer layers causing them to heat and expand

expanded gas cools and is pulled back in by gravity

process repeats

Only happens under certain conditions of size and temperature (so only in certain region of the H-R diagram. Instability strip. (see Figure 13.14 in the text)

several types:

  • long period variables
    • change luminosity over months or years
  • Cepheid variables
    • change luminosity in 1-100 day cycles
    • luminosity about 1 million x Sun
  • RR Lyrae variables
    • change luminosity in cycles lasting < 1 day
    • mass similar to Sun
    • yellow giants with luminosity about 40 x Sun

Stars spend about a million years pulsating before their temperature or size change enough to make them stable again.

They may become unstable several times during their lives.

Period-Luminosity Law

Larger stars have weaker gravity and so are slower to pull the expanded layers back in.

Larger stars also tend to be more luminous (if temperatures are similar).

So more luminous stars tend to have longer pulsation periods.

Use the relationship between period and luminosity to determine distances.

especially useful for Cepheid variables since they are very bright

calibrate using nearby stars whose distances are known

use period to determine luminosity

also measure brightness and find distance from relationship of brightness to luminosity and distance


Later stages

Low mass stars:

Burning Helium into Carbon at increasing rate

temperature increases and star expands

star becomes more luminous = Supergiant (star could extend out near the orbit of Earth)

Outer layers cool to about 2500 K

C and Si atoms condense out to form dust grains

grains are pushed OUT of the star by radiation, drag some gas with them

material mainly pushed out in a bi-polar manner

star now has two "cones" of gas coming out

gas cones are heated by radiation from hot core and glow

called a planetary nebula

(planetary nebula = "fuzzy disk-like object")

See Figure 13.16 in text. Link to Figure 13.16

contain quite a bit of mass - probably entire outer layers of star

cones of gas gradually diffuse into the interstellar medium

leave behind the hot core of the star = "white dwarf"

High mass stars:

more massive stars can produce conditions in the core to create other nuclear fusion reactions
can fuse carbon into oxygen

can fuse other elements as well

All the heavy elements (other than H and He) were probably made in stars by these reactions

star contracts and heats up with each change in fuel

contraction allows outer shells to start earlier fusion processes leading to a set of shells of different fusion reactions. See Figure 13.18 in the text. [Link to Figure 13.18]

stars become SuperGiants as outer shells expand (could extend out beyond orbit of Jupiter)

nuclear fusion shells in stars

 Once iron is formed in the core, no additional fusion reactions are possible.

Core can no longer support force of gravity.

Atoms are crushed together and protons and electrons merge to create neutrons.

Star's core becomes closely packed neutrons (about 10 km radius)

Outer layers of star crash into core.

 Gas is heated and explode back out = SUPERNOVA

Figure 13.20 shows pictures of the spreading gas from supernovas. [Link to Figure 13.20]

Remaining core is a neutron star.

Some VERY massive stars may have such strong gravity that the material which explodes out as a supernova gets slowed down and can NOT escape.

The material is pulled back in and the core is crushed down beyond a neutron star.

Now NO forces in physics exist to oppose gravity and the star becomes a black hole.

 


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