stellar evolution for low mass stars

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Evolution of low mass stars on the main sequence

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  • 11/15/2012

    1

    Stellar EvolutionSolar Mass Stars

    Overview

    How and Why stars evolve off the MS?

    Life on the Main Sequence

    Evolutions depends on Mass

    Will focus on Sun Type Stars today

    Sun is a fairly average star A Low Mass Star

    Overview

    Stages of evolution of a Low Mass Star

    Main Sequence Star

    Red Giants Processes in the Core & on the Surface

    Helium Flash to Horizontal Branch (HB)

    HB to Asymptotic Giant Branch

    Planetary Nebula & White Dwarfs

    Main Sequence Stars are Stable

    Energy Balance :

    Energy lost at the surface (Luminosity)

    Energy of fusing H into He at the stars core.

    Pressure (push) counters Gravity (pull):

    Reaction rates are Temperature dependent

    Too high - core heats up and then expands

    Expansion cools the core, so reaction rates get slower.

    Too small - core cools off and then shrinks

    Shrinking heats the core, so reaction rates get faster.

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    2

    Main Idea Life on the Main Sequence

    A nice Pressure-Temperaturefeedback mechanism, keeps the

    stars Luminosity constant.

    Main Sequence Stars are Stable

    What happens to the He created by H fusion

    Core is too cool to ignite He fusion

    Slowly builds up an inert He core

    Main Sequence (H-burning) Lifetime

    10 Gyr for 1Msun star (eg. Sun)

    10 Tyr for 0.1Msun star (red dwarf)

    Stellar Evolution

    Main sequence stars are just a part of a bigger

    picture

    Stellar evolution depends of the stars mass

    Massive stars burn more quickly,

    Therefore, evolve more quickly

    Four final states: White Dwarfs, Neutron Stars,

    Black Holes and Nothing!

    Main-Sequence Evolution 41

    1 24 during the MS lifetime

    Number density of the particles drop with time

    Pressure drops Core contracts (Why?)

    Core Contracts core Temperature rises Fusion rates go up

    Stars Luminosity will go up with time

    Star will expand somewhat (Why?)

    Surface opacity keeps Temperature same

    L 24

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    3

    Stars evolve, even on the Main-Sequence

    Lum

    inosity (

    Lsu

    n)

    O B A F G K M

    Zero Age

    Main-Sequence

    TemperatureRef: Seeds

    30 M

    3 M

    Initial Sun

    Present Sun

    1010 yrs

    6x108 yrs

    5x106 yrs

    Stage 1: Life on the Main Sequence

    5 billion years ago:

    Beginning of its life on main-sequence

    Sun had 70% luminosity it has now.

    5 billion years from now:

    End of its life on main-sequence

    Sun will have twice the luminosity it has now.

    At some point, the oceans will boil

    Whats happening Inside

    He created by H-fusion in the core

    Slowly builds up He core

    But, core is too cool to ignite He fusion

    Eventually, Hydrogen in the core is exhausted

    Gravity starts winning He core collapses & heats up

    H-burning in a Thin Shell surrounding the core

    MS (H He in core): 90% of lifetime

    Whats happening Outside

    H-fusion in the shell surrounding core

    Collapsing core heats up this shell

    Hotter shell faster fusion

    H-burning shell drives expansion of the Envelope

    Pressure starts winning Envelope expands & cools

    Star gets Brighter & Redder

    Creates a Red Giant/Supergiant

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    Inert He

    Core

    H-Burning Shell

    Cool, Extended Envelope

    Some Real Stars

    Stage 2: Red Giants

    Sun like stars expand to 10-100 r

    e.g. Arcturus (26 r)

    O Stars expand upto 1000 r

    ~ 5 AU = Jupiters Orbit!

    e.g. Mira (Omicron Ceti)

    Takes about 1Gyr to climb up RGB

    He core contracting & Heating but no fusion

    Whats happening Outside

    At the surface very low density of material.

    Surface cools to 3000-3500K by ion opacity feedback mechanism

    Opacity slows the heat flow, regulates temperature

    Too cool metals are not ionized: +

    breaks down Opacity goes down Temperature rises

    Too hot metals ionize: +

    Too much Opacity goes up Temperature goes down

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    Whats happening Inside

    Heat source is not the core

    Gravity winning in the core Contraction

    Shell gets hotter Increases H-burning in shell Luminosity

    But, surface temperature maintained constant

    L 24

    This stage marked by variability and L~ 103

    Mass loss from surface possible as gravity is weak

    Whats happening Inside

    Near the end of the red-giant stage, the core is very small

    compared with the envelope

    Like comparing a Baseball to the Stadium

    But, the core contains most of the Mass

    ~ 12% but

    Density is large ~ 1000 g/cm3

    1 Coffee cup ~1300 lbs, thats one strong cup!

    At the tip of the RGB: reaches 100 Million K Helium

    Flash

    Degenerate Matter

    At high densities, quantum effects become important

    Electrons are only allowed in discrete states, and no two electrons can

    occupy the same state

    High density lots of e-/cm3 degenerate matter

    Electrons are trapped in certain states

    Forming an energy level stack: low to high

    Degenerate Matter resists Compression

    Pressure becomes independent of Temperature

    This Degeneracy Pressure can now support the Core

    Degenerate Matter

    What if we add energy to degenerate matter?

    Cant change Pressure! Cant compress/expand!

    All the Energy absorbed by particles large velocities,

    Here, the electrons become degenerate

    Electron Degeneracy Pressure, important in:

    Helium cores of Red Giant Stars

    Stellar end states of White Dwarfs

    Will later see neutron degeneracy pressure in Neutron Stars

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    Cool, Extended EnvelopePossible Mass Loss

    Main Sequence Star

    Red Giant Star

    He core supported by degeneracy Pressure

    Stage 3: The Helium Flash Core supported by reaches 10

    8

    New Fusion Source takes over the Triple- Process ( 4 12)

    Starts He fusion! Fusion Rate 40

    For Massive stars (> 3)

    Core contracts quickly, Degeneracy plays small role

    He fusion starts smoothly, No Helium flash

    For Less Massive stars (0.4 3)

    Core contracts slowly, Degeneracy is important

    Density goes to 105g/cm3. He fusion starts at the Flash!

    Stars < 0.4 DO NOT burn Helium at all

    Whats happening

    Star generates 1011 for a few seconds - More than the Galaxy!

    Huge Energy from He-flash, relieves degeneracy pressure

    Expands the Core, restores Pressure-Gravity Balance

    Inside:

    He burning in the core via Triple- Process

    Additional H burning in the shell surrounding the core

    Outside:

    Star gets Hotter & Bluer, also Shrinks in Radius

    Luminosity Drops, Leaves RGB Moves to Horizontal Branch

    He Burning

    Core

    H-Burning Shell

    Envelope

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    7

    Stage 4: The Horizontal Branch

    Can be thought as the He-burning Main Sequence

    Energy generated in core = Energy lost at surface through Luminosity

    P-T feedback mechanism star is stable

    On the HB, Energy is derived from:

    He-burning in the Core and H-burning in the shell

    L ~ 30 100

    Whats happening Inside

    Carbon created by He-fusion in the core

    Triple- Process is comparatively inefficient, Slowly builds up C-core

    But, core is too cool to ignite Carbon fusion

    Eventually, Helium in the core is exhausted

    Gravity starts winning, C core collapses & heats up

    He-burning in a Thin Shell surrounding the C core

    H-burning in a Shell outside the He burning shell

    Horizontal Branch (He-burning) Lifetime

    ~ few 100 Million Years

    Whats happening Outside

    H & He-fusion in shells surrounding Carbon core

    Collapsing core heats up these shells

    Hotter shell sustain fusion

    Pressure starts winning Envelope expands & cools

    Star gets Brighter & Redder

    But, remember He fusion requires higher temperature

    This time the star has a higher effective Temperature

    Climbs up the Asymptotic Giant Branch

    Inert Carbon

    Core

    He-Burning Shell

    Cool, Extended Envelope

    H-Burning Shell

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    Stage 5: The Asymptotic Giant Branch

    Core Envelope Separation

    H & He-shell burning drives Luminosity

    Eventually, Radiation Pressure drives away the outer envelope

    Rapid Process, takes ~ 105yrs

    Expanding envelope forms a nebula around the contracting Core

    Planetary Nebula

    Whats happening

    For a star like Sun, the core continues to contract

    But, now mass of the envelope is gone

    Less gravity to push, ,

    Until supported by electron degeneracy pressure

    White Dwarfs

    It never gets hot enough to fuse Carbon (600 Million K)

    More massive stars will use these elements

    More catastrophic endings

    White Dwarf

    Planetary Nebula

    Stage 6: Planetary Nebula & White Dwarfs The hot core remains and becomes a White Dwarf

    Mass ~ 1 & Radius ~

    Supported by degeneracy pressure

    Stars with 0.4 3end up producing Planetary Nebula & White

    Dwarfs

    This is our Suns future

    Stars upto 8 can gracefully exit this way due to Mass Loss

    Even less massive stars (Red Dwarfs) can live on the Main sequence

    for longer than the age of the Universe

    Eventually become Black Dwarfs, as H-shell burning never starts

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    Stage 6: Planetary Nebula & White Dwarfs

    Planetary Nebula: Look like Planets

    But they are not - Ofcourse, you knew that!

    Many examples Pretty Pictures following

    ~ 10 30 km/s & Radius ~ 0.3 pc

    Ages ~ 10,000 , vanish in ~ 50,000

    Mass ~ 0.5

    About 1500 known, ~ 50,000 estimated in Galaxy

    Planetary Nebula: WD at Center of NGC 2440 (HST)

    Planetary Nebula: Ring Nebula (HST) Planetary Nebula: NGC 3132 (HST)

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    Planetary Nebula: Helix Nebula Planetary Nebula: IC 418 (HST)

    Planetary Nebula A39: Optical Planetary Nebula: IC 3568 Lemon Slice Nebula (HST)

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    11

    Planetary Nebula: Owl Nebula (HST) Planetary Nebula: M27

    Planetary Nebula: Dumbbell (VLT) Planetary Nebula: NGC 6751 (HST)

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    12

    Planetary Nebula: NGC 6751 Zoomed in (HST) Planetary Nebula: Red Rectangle

    Planetary Nebula: NGC 7027 (HST) Planetary Nebula: Stingray (HST)

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    Planetary Nebula: M2 Butterfly Nebula in the Visible : VLT

    Planetary Nebula: CRL 2688 Egg Nebula Planetary Nebula: Egg Nebula in NIR

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    Planetary Nebula Planetary Nebula: NGC 7009 Saturn Nebula (HST)

    Planetary Nebula: Cats Eye Nebula (HST) Planetary Nebula: Etched Hourglass (HST)

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    Sirius A and B

    Optical X-rays