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A few acknowledgements. When I first started reading about the Kepler mission, the Kepler website proved invaluable. It has a wealth of information, as well as some really good, pre-made and field-tested, material for educators.

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slide1
A few acknowledgements.

When I first started reading about the Kepler mission, the Kepler websiteproved invaluable.

It has a wealth of information, as well as some really good, pre-made and field-tested, material for educators.

I’ve borrowed liberally from the Transit Tracks worksheet and Transit Tracks PowerPoint presentation, especially

in some of the notes.

I also used parts a nice lab, linked here, that covers much of the same material but

that is suitable for a slightly more mature audience.

I think that I’ve cited sources for all of the images as well as all of the information found in the notes

(much of which were not used, but give a bit more information on the topics). If I’m missing a citation that

you notice, please let me know.

transit graphs and extrasolar planets

Transit graphs and extrasolar planets

Hope Concannon

Teaching Contemporary mathematics conference

January 2014

brown dwarf and child
Brown Dwarf and Child

Spotted in 2004, the smaller red dot (the planet) is about 3 to 10 times more massive than Jupiter and is spinning around a brown dwarf, which is an object larger than a planet but without enough mass to ignite into a burning star.

http://www.eso.org/public/news/eso0515/

the first directly observed exoplanet
The first directly observed exoplanet

Mass: eight times the mass of Jupiter

Orbital radius: more than 300 AU

Temperature: over 2700°F

Credit: Gemini Observatory

radial velocity method
Radial Velocity Method

http://obswww.unige.ch/~udry/planet/Images/doppler.jpg

the kepler mission
The Kepler Mission

According to NASA,

Kepler seeks evidence of Earth-size planets in the habitable zone of Sun-like stars.

(Photo : Reuters)

An artist's rendition of the Kepler satellite afloat in space.

what is the habitable zone
What is the Habitable Zone?

Credit: NASA/Ames/JPL-Caltech

slide11
Which type of system will make it easier to find planets using transits?
  • Small diameter planets or large diameter planets?
  • Small mass planets or large mass planets?
  • Planets close to their star or planets far from their star?
  • Face-on orbits or edge-on orbits?
  • Less massive stars or more massive stars?
  • Planets with orbits that are closer to circular
  • or highly elliptical orbits?

Credit: NASA/Ames/Caltech.

what do real transits look like
What do Real transits look like?

Light-curve for HD209458b,

the first-discovered and

best-known transiting planet

(from Perryman 2000)

slide18
An expanded view…

How are the planet’s size and

period seen in the light curve?

what do transit graphs reveal
What do transit graphs reveal?

The mathematics of a transit curve

what percent of light is blocked how is this related to the size of the planet
What percent of light is blocked? How is this related to the size of the planet?

http://nexsci.caltech.edu/workshop/2007/planet_transit.gif

kepler s third law
Kepler’s Third Law

The square of the orbital period, T, of a planet is directly proportional to the cube of the semi-major axis, a, of its orbit.

If expressed in units

T Earth years

a AU

Solar masses

Then

you try it can you determine the radius of the planet and it s orbital distance from it s sun
THE ACTUAL KEPLER 4B LIGHT CURVEYou try it. Can you determine the radius of the planet and it’s orbital distance from it’s sun?

You can get to this data

from this link

temperature of the planet
Temperature of the Planet

Planet temperature can be determined from the parent star’s brightness and the planet’s size and orbital distance.

http://discovery.nasa.gov/images/missions/kepler/PlanetTempAndSize.jpg

slide30
GEOMETRIC PROBABILITY OF TRANSITS

solid angle of planet =

solid angle of sphere =

probability of transit

http://ay20class.blogspot.com/2011/11/transit-probability.html

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