The orbit of each planet is an ellipse with the sun at one focus
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What is Kepler's Second Law?
The radius vector to a planet sweeps out equal areas in equal time
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What is Kepler's Third Law?
The square of the period of a planets orbit is proportional to the cube of the semimajor axis of its orbit
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What is Newton's First Law?
An object moves at a constant velocity if there is no new force acting on it
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What is Newton's Second Law?
Acceleration imparted to a body is proportional to and in the direction of the force applied and inversely proportional to the mass of the body. Force is the cause of a momentum change.
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What is Newton's Third Law?
For every force there is an equal and opposite reaction force
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What is centripetal force?
A body moving in a circular orbit must have a force towards the centre of its orbit. (speed must be constant but direction is constantly changing).
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What is angular momentum?
A body orbiting at radius r with a mass and speed has an angular momentum. Angular momentum of an orbiting body is constant.
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What is a semi major axis?
Half of the longest diameter of an elliptical orbit
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What is Kepler's Second Law a consequence of?
Conservation of angular motion
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What is the Doppler effect?
the relationship between waves, frequency and distance
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What are some astronomy applications of the doppler effect?
1. calculate speed at which stars and galaxies are moving away 2. help locate new bodies
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What is light?
an electromagnetic wave with an oscillating electric wave
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What effect does light have on a charged particle?
will exert an oscillating force
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What is the result of an oscillating charged particle and electric field?
light emission
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What is a blackbody?
a body that absorbs all light
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What happens when a blackbody absorbs light?
it gains energy
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What is the temperature of a blackbody proportional to?
the kinetic energy of the electrons
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In stars what causes an increase in the kinetic energy of the electrons
nuclear fusion
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What is W (Wien's constant) equal to?
2.898x10-3mK
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What is σ (Stefan-Boltzmann constant) equal to?
5.67x10-8Wm-2k-4
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What is the speed of light?
299, 792, 458m/s (3x10^8m/s)
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What is K (Coulomb's constant) equal to?
8.99x10^9 Nm^2C^-2
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What H line is the Lyman series?
1
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What H line is the Balmer series?
2
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What H line is the Paschen series?
3
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What H line is the Brackett series?
4
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What H line is the Pfund series?
5
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What is radiative excitation?
Absorbs a photon with energy equal to the energy difference between two levels. The atom will re-emit the photon after a short period.
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What is collisional excitation?
Free particles collide with an atom and transfer some of their kinetic energy. The atom returns to its ground state by emitting a photon.
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What happens if an atom gains sufficient energy?
An electron may be liberated and the atom becomes ionised
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What is Kirchhoff's First Rule?
A hot, opaque solid, liquid or highly compressed gas emits a continuous spectrum
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What is Kirchhoff's Second Rule?
A hot, transparent gas emits a spectrum on emission lines. The lines depends on the elements present.
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What is Kirchhoff's Third Rule?
If light from a continuous spectrum passes through a lower temperature transparent gas, the cooler gas causes the appearance of absorption lines.
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What happens during the birth of a star?
Collapse of a dense, low pressure molecular cloud
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How hot does nuclear fusion need to be to form a star?
Above 10million K
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When is the main sequence of a low mass star?
50-150 million years
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How is H fused into He in a low mass star?
Proton-proton chain
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How is the inward gravitational force balanced in a low mass star?
Outward pressure
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How does energy reach the surface in a low mass star?
Radiative diffusion and convection
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What is convection important for in stars?
Surface activity (solar flares and coronal mass ejections)
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What happens to a low mass star after 10 billion years?
Red Giant Phase
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Why does a low mass star enter the red giant phase?
Runs out of H in core
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What happens when the H shell in a low mass star becomes very hot?
Ignites fusion - the H shell around the inert He burns
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At what temperature does He burning begin in a low mass star?
Above 100 million K
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How many He nuclei combine to form a C?
3
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What supports the core of the star during He burning?
Degeneracy pressure?
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What happens when the rate of He fusion rapidly increases?
He flash
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At what temperature does C fusion become possible?
600 million K
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How does a low mass star eject its outer layers during its death?
Thermal pulses and stellar wind
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At what temperature can solid dust particles form in the outflowing wind of a red giant?
1000 - 2000K
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What is a white dwarf?
The inert carbon core of a low mass star
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What is a planetary nebulae?
When a low mass star ejects its outer layers to form an expanding gas shell. Radiation ionises the gas causing it to glow.
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How big are high mass stars?
Above 8 solar masses.
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How big are low mass stars?
Less than 2 solar masses
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What are the two theories about how high mass stars form?
Same as low mass OR competitive accretion
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What is competitive accretion?
1. Star forms the same as a low mass star 2. Star continues to accrete gas until depleted 3. Some stars accrete more efficiently and become high mass stars
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How does H fusion occur in high mass stars?
CNO cycle
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How many protons form a He in the CNO cycle?
4 (with C catalyst)
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When do high mass stars reach the main sequence?
150 000 years
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What causes high mass stars to have a higher temperature H core?
Stronger gravity
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What do high mass stars become during death?
Super Giants
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What does C fusion form?
Heavier elements
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What is advanced nuclear burning?
The He nucleus is captured (He capture reaction) to produce heavier elements (C to O).
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What happens every time a core depletes the element it is fusing?
Shrinks until hot enough for other fusion reactions
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What happens during the final days of a high mass star?
Fe builds up in the Si-burning core
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What type of nuclear burning happens in intermediate mass stars?
CNO cycle
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Why does an intermediate mass star end up as a white dwarf?
Degeneracy pressure prevents cores becoming hot enough to burn C or O.
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Why is iron in the core of a star a problem?
Cannot generate any nuclear energy.
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How do elements lighter than Fe gain Energy?
Nuclear fusion
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How do elements heavier than Fe gain Energy?
Nuclear fission
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What happens to cause the core to collapse in high mass stars?
Gravity pushes electrons past the quantum mechanical limit. Combine with protons to form neutrons and neutrinos are released.
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What is formed when the iron core collapses?
Neutron star (a ball of neutrons)
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What is a supernova?
The energy released by the collapse of an iron core into a neutron star
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What forms if the mass of a neutron star is high enough that gravity overcomes neutron degeneracy pressure?
Black Hole
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What prevents further collapse of a neutron star?
Neutron degeneracy pressure
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What can be formed in a supernova?
Elements heavier than Fe
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Where is most C produced?
Low mass stars
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What is the lifetime of a high mass star (10 solar masses)?
10 million years
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Why can't Fe fuse?
Lowest mass per nucleon
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Where do stars form?
Solar Nebula
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What is a solar nebula and how does it form stars?
Cloud of gas and dust that collapses due to its own gravity. Angular momentum causes the cloud to spin faster as it collapses.
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In what part of a solar nebula do stars form?
Centre (planets form in the disc)
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How do we infer the existence of a formation disc?
Infrared excess
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What type of planet forms first?
Gas giants
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Why do terrestrial planets form later?
No gas left
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What does aerodynamic drag result in in a disc?
Causes solids to collect. If density high enough could form pebbles or planetesimals.
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How do grains grow due to streaming instability?
1. Growing grains settle towards midplane 2. Grains collect at certain locations 3. If local solid density is high enough, drag is shut off and the solids can gravitationally collapse to form planetesimals.
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What is core growth by pebble accretion?
The gravitational influence of a planetary core and the speed at which a pebble drifts past.
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What is escape velocity?
The kinetic energy of the escaping body must be greater than its gravitational potential energy
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What is the snow/frost line?
The distance from the star where temperature is less than 170K and H compounds can condense to form ices.
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Why are most large planets found past the snow/frost line?
More solid material
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What does the final stages of planet formation involve?
oligarchic growth
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What is oligarchic growth?
Each body dominates a certain region that grows until it reaches the isolation mass (runs out of planetesimals)
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What happens if the embryo mass is larger than the critical mass in a forming planet?
Runaway gas accretion forms a gas giant
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After the gas has been depleted, where would you find terrestrial planets forming?
Within the snow/frost line
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After the gas has been depleted, where would you find ice giants forming?