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Astronomy 100Exploring the Universe

Tuesday, Wednesday, Thursday

Tom Burbinetomburbine@astro.umass.edu

Astronomy 100Exploring the Universe

Tuesday, Wednesday, Thursday

Tom Burbinetomburbine@astro.umass.edu

Brown Dwarfs

• Failed stars• Not enough mass for fusion• Minimum mass of gas need for fusion is 0.08 • Minimum mass of gas need for fusion is 0.08

solar masses (80 times the mass of Jupiter)

Brown Dwarfs

Not enough mass for fusionMinimum mass of gas need for fusion is 0.08 Minimum mass of gas need for fusion is 0.08 solar masses (80 times the mass of Jupiter)

Main Sequence

• Is not an evolutionary track– Stars do not evolve on it

• Stars stop on the main sequence and spend most • Stars stop on the main sequence and spend most of their lives on it

Main Sequence

Is not an evolutionary track

Stars stop on the main sequence and spend most Stars stop on the main sequence and spend most

Sun ends it time on the main sequence

• When the core hydrogen is depleted, nuclear fusion stops

• The core pressure can no longer resist the crush of • The core pressure can no longer resist the crush of gravity

• Core shrinks

Sun ends it time on the main sequence

When the core hydrogen is depleted, nuclear

The core pressure can no longer resist the crush of The core pressure can no longer resist the crush of

Why does the star expand?

• The core is made of helium• The surrounding layers are made of hydrogen

Why does the star expand?

The core is made of heliumThe surrounding layers are made of hydrogen

And ..

• Gravity shrinks the inert helium core and surrounding shell of hydrogen

• The shell of hydrogen becomes hot for fusion• The shell of hydrogen becomes hot for fusion• This is called hydrogen-

And ..

Gravity shrinks the inert helium core and surrounding shell of hydrogenThe shell of hydrogen becomes hot for fusionThe shell of hydrogen becomes hot for fusion

-shell burning

And …

• The shell becomes so hot that its fusion rate is higher than the original core

• This energy can not be transported fast enough to • This energy can not be transported fast enough to surface

• Thermal pressure builds up and the star expands

And …

The shell becomes so hot that its fusion rate is higher than the original coreThis energy can not be transported fast enough to This energy can not be transported fast enough to

Thermal pressure builds up and the star expands

And ..

• More helium is being created• Mass of core increases• Increases its gravitational pull• Increases its gravitational pull• Increasing the density and pressure of this region

And ..

More helium is being created

Increases its gravitational pullIncreases its gravitational pullIncreasing the density and pressure of this region

When• When helium core reaches 100 million Kelvin,• Helium can fuse into a Carbon nucleus

WhenWhen helium core reaches 100 million Kelvin,Helium can fuse into a Carbon nucleus

Helium Flash

• The rising temperature in the core causes the helium fusion rate to rocket upward

• Creates a lot of new energy • Creates a lot of new energy

Helium Flash

The rising temperature in the core causes the helium fusion rate to rocket upwardCreates a lot of new energy Creates a lot of new energy

However

• The core expands• Which pushes the hydrogen

outwardsoutwards• Lowering the hydrogen-

temperature

However

Which pushes the hydrogen-burning shell

-burning shell’s

And

• Less energy is produced• Star starts to contract

And

Less energy is produced

Now

• In the core, Helium can fuse to become Carbon (and some Oxygen)

• Star contracts• Star contracts• Helium fusion occurs in a shell surrounding the

carbon core• Hydrogen shell can fuse above the Helium shell• Inner regions become hotter• Star expands

Now

In the core, Helium can fuse to become Carbon

Helium fusion occurs in a shell surrounding the

Hydrogen shell can fuse above the Helium shellInner regions become hotter

– Triple Alpha Process– 4He + 4He ↔ 8Be– 8Be + 4He ↔ 12C + gamma ray + 7.367

http://upload.wikimedia.org/wikipedia/commons/8/8d/Triple

C + gamma ray + 7.367 MeV

http://upload.wikimedia.org/wikipedia/commons/8/8d/Triple-Alpha_Process.png

• Some carbon fuses with He to form Oxygen• 12C + 4He → 16O + gamma ray• Harder to fuse Oxygen with Helium to produce • Harder to fuse Oxygen with Helium to produce

Neon

Some carbon fuses with He to form OxygenO + gamma ray

Harder to fuse Oxygen with Helium to produce Harder to fuse Oxygen with Helium to produce

Planetary Nebulae

• There is a carbon core and outer layers are ejected into space

• The core is still hot and that ionizes the expanding • The core is still hot and that ionizes the expanding gas

Planetary Nebulae

There is a carbon core and outer layers are ejected

The core is still hot and that ionizes the expanding The core is still hot and that ionizes the expanding

Planetary NebulaePlanetary Nebulae

White Dwarf

• The remaining core becomes a white dwarf• White dwarfs are usually composed of carbon and

oxygen (can not fuse carbon)oxygen (can not fuse carbon)• Oxygen-neon-magnesium white dwarfs can also

form (hot enough to fuse carbon but not neon)• Helium white dwarfs can form

White Dwarf

The remaining core becomes a white dwarfWhite dwarfs are usually composed of carbon and oxygen (can not fuse carbon)oxygen (can not fuse carbon)

magnesium white dwarfs can also form (hot enough to fuse carbon but not neon)Helium white dwarfs can form

High-Mass Stars

• The importance of high-make elements heavier than carbon

• You need really hot temperatures which only • You need really hot temperatures which only occur with the weight of a very high

Mass Stars

-mass stars is that they make elements heavier than carbonYou need really hot temperatures which only You need really hot temperatures which only occur with the weight of a very high-mass star

Stages of High-Mass Star’s Life

• Similar to low-mass star’s• Except a high-mass star can continue to fuse

elementselements• When the fusion ceases, the star becomes a

supernova• Supernova is a huge explosion

Mass Star’s Life

mass star’smass star can continue to fuse

When the fusion ceases, the star becomes a

Supernova is a huge explosion

Fusion in High

• Besides fusion of Hydrogen into Helium• The high temperatures allow Carbon, Nitrogen,

and Oxygen to be catalysts for converting and Oxygen to be catalysts for converting Hydrogen into Helium

Fusion in High-Mass stars

Besides fusion of Hydrogen into HeliumThe high temperatures allow Carbon, Nitrogen, and Oxygen to be catalysts for converting and Oxygen to be catalysts for converting

CNO cycleCNO cycle

Fusion

• The interior temperatures of highlate-stage of life can reach temperatures above 600 million Kelvin600 million Kelvin

• Can fuse Carbon and heavier elements• Helium Capture can also occur where Helium can

be fused into heavy elements

Fusion

The interior temperatures of high-mass stars in its stage of life can reach temperatures above

Can fuse Carbon and heavier elementsHelium Capture can also occur where Helium can be fused into heavy elements

“Deaths” of Stars

• White Dwarfs• Neutron Stars• Black Holes• Black Holes

“Deaths” of Stars

White Dwarfs

• White Dwarfs is the core left over when a star can no longer undergo fusion

• Most white dwarfs are composed of carbon and oxygen

• Most white dwarfs are composed of carbon and oxygen

• Very dense– Some have densities of 3 million grams per cubic

centimeter– A teaspoon of a white dwarf would weigh as much as

an elephant

White Dwarfs

White Dwarfs is the core left over when a star can no longer undergo fusionMost white dwarfs are composed of carbon and Most white dwarfs are composed of carbon and

Some have densities of 3 million grams per cubic

A teaspoon of a white dwarf would weigh as much as

White Dwarfs

• Some white dwarfs have the same mass as the Sun but slightly bigger than the Earth

• 200,000 times as dense as the earth• 200,000 times as dense as the earth

White Dwarfs

Some white dwarfs have the same mass as the Sun but slightly bigger than the Earth200,000 times as dense as the earth200,000 times as dense as the earth

White Dwarfs

• Collapsing due to gravity• The collapse is stopped by electron degeneracy

pressurepressure

White Dwarfs

Collapsing due to gravityThe collapse is stopped by electron degeneracy

Electron Degeneracy Pressure• No two electrons can occupy the same quantum

state

Electron Degeneracy PressureNo two electrons can occupy the same quantum

Electron Degeneracy Pressure

• As electrons are moved closer together• Their momentum (velocity) increases• Due to Heisenberg Uncertainty Principle• Due to Heisenberg Uncertainty Principle

Electron Degeneracy Pressure

As electrons are moved closer togetherTheir momentum (velocity) increasesDue to Heisenberg Uncertainty PrincipleDue to Heisenberg Uncertainty Principle

So What Does This Mean

• Electron Degeneracy Pressure balances the gravitational force due to gravity in white dwarfs

So What Does This Mean

Electron Degeneracy Pressure balances the gravitational force due to gravity in white dwarfs

One Interesting Thing

• More massive white dwarfs are smaller

One Interesting Thing

More massive white dwarfs are smaller

White Dwarf Limit

• The mass of a White Dwarf can not exceed approximately 1.4 Solar Masses

• Called the Chandrasekhar Limit• Called the Chandrasekhar Limit

White Dwarf Limit

The mass of a White Dwarf can not exceed approximately 1.4 Solar MassesCalled the Chandrasekhar LimitCalled the Chandrasekhar Limit

The Sun

• Will end up as a White Dwarf

The Sun

Will end up as a White Dwarf

Black Dwarf

• Black dwarf – Theoretical cooled down white dwarf• Not hot enough to emit significant amounts of light• Since the time required for a white dwarf to reach this • Since the time required for a white dwarf to reach this

state is calculated to be longer than the current age of the universe of 13.7 billion years, no black dwarfs are expected to exist in the universe yet

Black Dwarf

Theoretical cooled down white dwarfNot hot enough to emit significant amounts of lightSince the time required for a white dwarf to reach this Since the time required for a white dwarf to reach this state is calculated to be longer than the current age of the universe of 13.7 billion years, no black dwarfs are expected to exist in the universe yet

Neutron Star

• Neutron stars are usually 10 kilometers acroos• But more massive than the Sun• Made almost entirely of neutrons• Made almost entirely of neutrons• Electrons and protons have fused together

Neutron Star

Neutron stars are usually 10 kilometers acroosBut more massive than the SunMade almost entirely of neutronsMade almost entirely of neutronsElectrons and protons have fused together

How do you make a neutron star?

• Remnant of a Supernova

How do you make a neutron star?

Remnant of a Supernova

Supernova

• A supernova is a stellar explosion. • Supernovae are extremely luminous and cause a

burst of radiation that often briefly outshines an burst of radiation that often briefly outshines an entire galaxy, before fading from view over several weeks or months.

Supernova

A supernova is a stellar explosion. Supernovae are extremely luminous and cause a burst of radiation that often briefly outshines an burst of radiation that often briefly outshines an entire galaxy, before fading from view over several weeks or months.

• The last person to see and chronicle a supernova outburst in our galaxy was Johannes Kepler.

• That was in 1604 rivaled Venus in brightness.• That was in 1604 rivaled Venus in brightness.

The last person to see and chronicle a supernova outburst in our galaxy was Johannes Kepler. That was in 1604 rivaled Venus in brightness.That was in 1604 rivaled Venus in brightness.

Type Ia Supernova

Type II Supernova

This stops with Iron

• Fusion of Iron with another element does not release energy

• Fission of Iron with another element does not • Fission of Iron with another element does not release energy

• So you keep on making Iron

This stops with Iron

Fusion of Iron with another element does not

Fission of Iron with another element does not Fission of Iron with another element does not

So you keep on making Iron

Initially

• Gravity keeps on pulling the core together• The core keeps on shrinking• Electron degeneracy keeps the core together for • Electron degeneracy keeps the core together for

awhile

Initially

Gravity keeps on pulling the core togetherThe core keeps on shrinkingElectron degeneracy keeps the core together for Electron degeneracy keeps the core together for

Then

• The iron core becomes too massive and collapses• The iron core becomes neutrons when protons and

electrons fuse togetherelectrons fuse together

Then

The iron core becomes too massive and collapsesThe iron core becomes neutrons when protons and

Density

• You could take everybody on Earth and cram them into a volume the size of sugar cube

Density

You could take everybody on Earth and cram them into a volume the size of sugar cube

Explosion

• The collapse of the core releases a huge amount of energy since the rest of the star collapses and then bounces off the neutron corethen bounces off the neutron core

• 1044-46 Joules• Annual energy generation of Sun is 10

Explosion

The collapse of the core releases a huge amount of energy since the rest of the star collapses and then bounces off the neutron corethen bounces off the neutron core

Annual energy generation of Sun is 1034 Joules

How do we know there are neutron stars?

• The identification of Pulsars• Pulsars give out pulses of radio waves at precise

intervals

How do we know there are neutron stars?

The identification of PulsarsPulsars give out pulses of radio waves at precise

Pulsars

• Pulsars were found at the center of supernovae remnants

Pulsars

Pulsars were found at the center of supernovae

Pulsars

• Pulsars were interpreted as rotating neutron stars• Only neutron stars could rotate that fast• Strong magnetic fields can beam radiation out• Strong magnetic fields can beam radiation out

Pulsars

Pulsars were interpreted as rotating neutron starsOnly neutron stars could rotate that fastStrong magnetic fields can beam radiation outStrong magnetic fields can beam radiation out

Black Holes

• If a collapsing stellar core has a mass greater than 3 solar masses,

• It becomes a black hole• It becomes a black hole

Black Holes

If a collapsing stellar core has a mass greater than

Black Hole

• After a supernova if all the outer mass of the star is not blown off

• The mass falls back on the neutron star• The mass falls back on the neutron star• The gravity causes the neutron star to keep

contracting

Black Hole

After a supernova if all the outer mass of the star

The mass falls back on the neutron starThe mass falls back on the neutron starThe gravity causes the neutron star to keep

Black Hole

• A black hole is a region where nothing can escape, even light.

Black Hole

A black hole is a region where nothing can

Event Horizon

• Event Horizon is the boundary between the inside and outside of the Black Hole

• Within the Event Horizon, the escape velocity is • Within the Event Horizon, the escape velocity is greater than the speed of light

• Nothing can escape once it enters the Event Horizon

Event Horizon

Event Horizon is the boundary between the inside and outside of the Black HoleWithin the Event Horizon, the escape velocity is Within the Event Horizon, the escape velocity is greater than the speed of lightNothing can escape once it enters the Event

How do calculate the radius of the Event Horizon?

• It is called the Schwarzschild Radius• Radius = 2GM/c2

• This is a variation of the escape velocity formula• This is a variation of the escape velocity formula• Escape velocity = square root (2GM

How do calculate the radius of the Event Horizon?

It is called the Schwarzschild Radius

This is a variation of the escape velocity formulaThis is a variation of the escape velocity formulaEscape velocity = square root (2GMplanet/Rplanet)

Black Hole Sizes

• A Black Hole with the mass of the Earth would have a radius of 0.009 meters

• A Black Hole with the mass of the Sun would • A Black Hole with the mass of the Sun would have a radius of 3 kilometers

Black Hole Sizes

A Black Hole with the mass of the Earth would have a radius of 0.009 metersA Black Hole with the mass of the Sun would A Black Hole with the mass of the Sun would have a radius of 3 kilometers

http://www.astronomynotes.com/evolutn/remnants.gifhttp://www.astronomynotes.com/evolutn/remnants.gif

Can you see a Black Hole?Can you see a Black Hole?

No

• Black Holes do not emit any light• So you must see them indirectly• You need to see the effects of their gravity• You need to see the effects of their gravity

No

Black Holes do not emit any lightSo you must see them indirectlyYou need to see the effects of their gravityYou need to see the effects of their gravity

Evidence

• The white area is the core of a Galaxy

• Inside the core there is a brown spiral-is a brown spiral-shaped disk.

• It weighs a hundred thousand times as much as our Sun.

http://helios.augustana.edu/~dr/img/ngc4261.jpg

Evidence

http://helios.augustana.edu/~dr/img/ngc4261.jpg

Evidence• Because it is rotating we can measure its

radii and speed, and hence determine its mass.

• This object is about as large as our solar • This object is about as large as our solar system, but weighs 1,200,000,000 times as much as our sun.

• Gravity is about one million times as strong as on the sun.

• Almost certainly this object is a black hole.

EvidenceBecause it is rotating we can measure its radii and speed, and hence determine its

This object is about as large as our solar This object is about as large as our solar system, but weighs 1,200,000,000 times as

Gravity is about one million times as strong

Almost certainly this object is a black hole.

• http://www.hulu.com/watch/63320/cosmoslives-of-the-starshttp://www.hulu.com/watch/63320/cosmos-the-

Any Questions?Any Questions?Any Questions?Any Questions?

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