Definition of a planet a little history



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Lecture 1

  • Lecture 1

    • Definition of a planet
    • A little history
    • Pulsar planets
    • Doppler “wobble” (radial velocity) technique
  • Lecture 2

    • Transiting planets
    • Transit search projects
    • Detecting the atmospheres of transiting planets: secondary eclipses & transmission spectroscopy
    • Transit timing variations


Lecture 3

  • Lecture 3

    • Microlensing
    • Direct Imaging
    • Other methods: astrometry, eclipse timing
    • Planets around evolved stars
  • Lecture 4

    • Statistics: mass and orbital distributions, incidence of solar systems, etc.
    • Hot Jupiters
    • Super-Earths
    • Planetary formation
    • Planetary atmospheres
    • The host stars


Lecture 5

  • Lecture 5

    • The quest for an Earth-like planet
    • Habitable zones
    • Results from the Kepler mission
      • How common are rocky planets?
      • Amazing solar systems
    • Biomarkers
    • Future telescopes and space missions


RSun = 6.995x108m

  • RSun = 6.995x108m

  • Rjup = 6.9961x107m ~ 0.1RSun

  • Rnep = 2.4622x107m ~ 4Rearth

  • Rearth = 6.371x106m ~ 0.1Rjup ~ 0.01RSun

  • MSun= 1.989x1030kg

  • Mjup= 1.898x1027kg ~ 0.001MSun = 317.8Mearth

  • Mnep= 1.02x1026kg ~ 5x10-5MSun ~ 0.05Mjup = 17.15Mearth

  • Mearth= 5.97x1024kg = 3x10-6MSun = 3.14x10-3Mjup

  • 1AU = 1.496x1011m

  • 1 day = 86400s



1767 confirmed planets

  • 1767 confirmed planets

    • In 1160 planetary systems
    • 471 multi-planet systems
    • 517 radial velocity detected planets
    • 1153 transiting planets
    • 35 directly imaged
    • “Confirmed” = have “measured” masses
  • Unexpected population with periods of <1 to ~4 days: “hot Jupiters”

  • Planets with orbits like Jupiter discovered (eg 55 Cancri d)

  • Smallest planets:

    • Kepler-20e: 0.87Rearth ,
    • Alpha Cen Bb M sin i > 1.1Mearth








Notice the “pile-up” at periods of <1 to ~4 days / 0.04-0.05AU

  • Notice the “pile-up” at periods of <1 to ~4 days / 0.04-0.05AU

  • The most distant planets discovered by radial velocities so far are at 5-6AU

  • Imaging surveys finding very wide (>10AU) orbit planets

  • Orange are “hot Jupiters”

  • Yellow is Jupiter-mass in Jupiter-like orbits



Astronomical surveys tend to have built in biases

  • Astronomical surveys tend to have built in biases

  • These “selection effects” must be understood before we can interpret results

    • The Doppler Wobble method is most sensitive to massive, close-in planets, as is the Transit method
    • Imaging surveys sensitive to massive planets in very wide orbits (>10AU)
  • These methods are not yet sensitive to planets as small as Earth, even close-in

  • As orbital period increases, the Doppler Wobble method becomes insensitive to planets less massive than Jupiter

  • The length of time that the DW surveys have been active (since 1989) sets the upper orbital period limit

    • But imaging surveys can find the widest planets


Doppler Wobble and transit surveys find many gas giants in orbits of <1 to ~4 days

  • Doppler Wobble and transit surveys find many gas giants in orbits of <1 to ~4 days

    • cf Mercury’s orbit is 80 days
  • These survey methods are biased towards finding them

    • Larger Doppler Wobble signal
    • Greater probability of transit
  • These planets are heated to >1000oF on “day” side

    • And are “tidally locked” like the Moon
    • Causes extreme weather conditions


Lowest mass confirmed planet so far: Alpha Cen Bb M sin i =1.1xMEarth

  • Lowest mass confirmed planet so far: Alpha Cen Bb M sin i =1.1xMEarth

  • Super-Jupiters (>few MJup) are not common

    • Implications for planet formation theories?
    • Or only exist in number at large separation?
    • Or exist around massive stars?
















Radial velocity surveys

  • Radial velocity surveys

    • ~10% of FGK stars have gas giants between 0.02AU and 5AU
    • At least 20% have gas giants in wider orbits
      • Known population will grow as radial velocity surveys cover longer periods, & direct imaging improves
    • <0.1% have Hot Jupiters
      • Hot Jupiters are easy to discover, but in fact are rare
  • How many have Earths…..?



Surveys began by targeting sun-like stars (spectral types F, G and K)

  • Surveys began by targeting sun-like stars (spectral types F, G and K)

  • Now extended to M dwarfs (<1 Msun) and subgiants (>1.5Msun)

    • Subgiants are the descendants of A stars
  • Incidence of planets is greatest for late F stars

    • F7-9V > GV > KV > MV
  • More massive stars tend to have more massive planets



Overall, ~10% of solar-like stars have radial velocity –detected Jupiters

  • Overall, ~10% of solar-like stars have radial velocity –detected Jupiters

  • But if we take metallicity into account:

    • >20% of stars with 3x the metal content of the Sun have gas giants
    • ~3% of stars with 1/3rd of the Sun’s metallicity have gas giants
  • Does this result imply that planets more easily form in metal-rich environments?

    • Possibly true for gas giants
    • But Kepler results suggest super-Earths & terrestrial planets equally common around stars of all metallicities!


There are two main models which have been proposed to

  • There are two main models which have been proposed to

  • describe the formation of the extra-solar planets:

    • (I) Planets form from dust which agglomerates into cores which then accrete gas from a disc.
    • (II) A gravitational instability in a protostellar disc creates a number of giant planets.
  • Both models have trouble reproducing both the observed distribution of extra-solar planets and the solar-system.



Planetary cores form through the agglomeration of dust into grains, pebbles, rocks and planetesimals within a gaseous disc

  • Planetary cores form through the agglomeration of dust into grains, pebbles, rocks and planetesimals within a gaseous disc

  • At the smallest scale (<1 cm) cohesion occurs by non-gravitational forces e.g. chemical processes.

  • On the largest scale (>1 km) gravitational attraction will dominate.

  • On intermediate scales the process is poorly understood.

  • These planetesimals coalesce to form planetary cores

  • The most massive cores accrete gas to form the giant planets

  • Planet formation occurs over 107 yrs.



A gravitational instability requires a sudden change in disc properties on a timescale less than the dynamical timescale of the disc.

  • A gravitational instability requires a sudden change in disc properties on a timescale less than the dynamical timescale of the disc.

  • Planet formation occurs on a timescale of 1000 yrs.

  • A number of planets in eccentric orbits may be formed.

  • Sudden change in disc properties could be achieved by cooling or by a dynamical interaction.

  • Simulations show a large number of planets form from a single disc.

  • Only produces gaseous planets – rocky (terrestrial) planets are not formed.

  • Is not applicable to the solar system.

  • Could explain the directly imaged HR8799 system



No element will condense within ~0.1AU of a star since T>1000K

  • No element will condense within ~0.1AU of a star since T>1000K

  • Planets most likely form beyond the “ice-line”, the distance at which ice forms

    • More solids available for building planets
    • Distance depends on mass and conditions of proto-planetary disk, but generally >1AU
  • Hot Jupiters currently at ~0.03-0.04AU cannot have formed there

  • If migration time < disk lifetime

    • Planets fall into star
    • Excess of planets at 0.03-0.04AU is evidence of a stopping mechanism
      • tides? magnetic cavities? mass transfer?
  • Large planets will migrate more slowly

    • Explanation for lack of super-Jupiters in close orbits


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