Testing the Theory: Other Planetary Systems

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Detecting planets around other stars is a difficult project requiring very careful observations. At first finding planets might seem a simple thing to do---take pictures of stars and look for small faint things orbiting them. A planet would indeed be a faint: a billion or more times fainter than a star in the visible band---the glare of the starlight would wash out the feeble light of a planet. Direct imaging of planets would be better accomplished in the infrared band because the planet's thermal spectrum would have maximum emission in the infrared band. Also, stars produce less infrared energy than visible band energy---a planet would only be ten to a hundred thousand times fainter than the star. The planet would still be very faint, but at least the contrast ratio is improved by many thousands of times. Four planets (so far --- as of mid-May 2007) have been found this way.

less contrast in the infrared

Astronomers have detected disks of dust and gas around young stars using sensitive infrared detectors on the largest telescopes in the world. An equivalent amount of material locked up into a single object will have a smaller total surface area than if it was broken up into many tiny particles. The disks have a lot of surface area and, therefore, can emit a lot of infrared energy. Some bright stars in our sky have dust around them: Vega, Beta Pictoris, and Fomalhaut. These are systems possibly in the beginning stages of forming planets. One disk around the star HR 4796A appears to be in between the dust disk stage and a fully-fledged planet system. The inner part of the disk has been cleared away. Presumably, the dust material has now coalesced into larger things like planets. The planets would have a smaller surface area than if the material was still in tiny particles form, so the planets will be much fainter. The Hubble Space Telescope has also detected disks of gas and dust around 50% of the stars still forming in the Orion Nebula. It appears that the formation of planet systems is a common process in the universe.

The easiest way to look for planets around other stars is to notice their gravitational effect on the stars they orbit. One signature of a planet would be that the star would appear to wobble about as the star and the planet orbit a point situated between them, proportionally closer to the more massive star, called the center of mass. Our Sun wobbles because of the gravity of the planets orbiting it. Most of the wobble is due to Jupiter which contains more mass than all of the other planets combined. However, the wobble is tiny! Because the Sun is over a thousand times more massive than Jupiter, the center of mass is over a thousand times closer to the Sun, or about 47,000 kilometers above the surface of the Sun (this distance is less than 7% the radius of the Sun). Despite the tiny wobble, astronomers on planets orbiting nearby stars could detect this wobble using the same technology we have here on Earth if they observed the Sun's motion very carefully over a couple of decades.

finding planets from the slight motions of the stars they orbit

Sequence on the right side is actually from two different vantage points. The wobbling star is what you would see if the orbit was face-on. The doppler shifting absorption lines is what you would see if the orbit was edge-on from a position to the right of the star-planet system (so the lines shift toward the red end when the star is moving away from the observer and the planet is moving toward the observer).

Another signature of a planet would be doppler shifts in the star's spectral lines as they orbit their common center of mass. This technique has been used to find planets around at least 193 other stars (as of the time this was written). The searches have so far focussed on stars similar to the Sun, though a couple of systems have planets orbiting a pulsar (a type of ultra-compact, dead star discussed in the stellar evolution chapter), six systems have M-type red dwarf stars (including one that has a terrestrial-sized planet in its habitable zone) and three systems have a massive red giant star. The number of systems discovered and the details about them changes so rapidly that the best place to find up-to-date information on extrasolar planets in on the internet. Some websites are given at the end of this chapter.

The orbital motion of the planets can be derived from the shifting spectal lines and the information about the orbits can be used to derive the masses of the planets. However, the doppler effect tells you about the motion along the line of sight only. The planet orbits are undoubtedly inclined, or tipped, to our line of sight and the amount of inclination is uncertain. This introduces an uncertainty in the derived masses of the planets. Usually, astronomers will quote the masses as ``mass×sin(orbit inclination angle)'', so the actual planet masses could be higher. The figure below summarizes the orbit sizes and orbit eccentricities of the 201 other planetary systems known at the time this was written from the Extra Solar Planets Encyclopedia. The figures include planet data that still needs to be confirmed. Data for 232 planets are plotted on the left and data for 216 planets with known eccentricities are plotted on the right.

orbit size histogram orbit eccentricity histogram

Two things to notice are how close the large planets are to their stars and the large eccentricities of some of the planet orbits. The concensation model outlined in the previous section predicts that large planets will only form far from the young star. Giant planets start from a core of rock and ice that was able to solidify far from the intense heat of the young star. The rock-ice cores then pull in surrounding gas by their gravity. Near the star, the temperature is too high to form the rock-ice cores.

Over a decade before the discovery of the first extrasolar planets, astronomers predicted as part of the condensation model that large gas/rock clumps would form far from a young star and spiral inward toward the star because of friction with the gas remaining in the disk around the forming star. The gas/rock clumps can also interact with each other sending one into a small orbit while the other is ejected out of the system. Such interactions may explain the elliptical orbits we see. Some astronomers working on planet formation models are looking for ways to halt the inward spiral of the gas giant planets near the star through tidal interactions between the planet and star. Perhaps the gas giant planets we see are simply the ones that did not have time to spiral completely into the stars before the gas disk was cleared away by the strong T-Tauri winds that accompany the start of nuclear fusion. Perhaps in our solar system other giant planets had formed but did not survive.

Astronomers cannot yet determine the diameters of most of the giant extrasolar planets so their densities, and, therefore, their composition is still unknown. Nineteen of the giant planets has been observed to move in front of their stars and cause an eclipse or dimming of the starlight (this is called a transit). This means that the planet's orbit is aligned with our line of sight. From the planet transit, astronomers have been able to accurately measure the mass and diameter of the planet (and therefore, determine the density). Careful observations of the spectrum of the star while the planet is transitting across will enable astronomers to determine the chemical composition of the planet's atmosphere using spectroscopy. As more planets are discovered astronomers will check to see if the orbit is aligned with our line of sight to make a transit possible.

big planet transitting makes bigger dip in brightness than smaller planet

Besides looking for wobbles in stars, planetary transits are another way of searching for planets around other stars. However, most planetary systems will not have their orbits so exquisitely aligned with our line of sight so a lot of stars would need to be looked at to improve the chances of finding even a few transits. One advantage of the transit method over the star-wobble methods for planet detection is that you would be able to detect terrestrial planets (i.e., small planets). Small planets like the Earth produce too small a wobble in their parent star to be detected by the star-wobble methods. The NASA/JPL spacecraft mission called Kepler will look at 100,000 stars simultaneously to look for Earth-sized planets during a 4-year period of time. The spacecraft will be focussing on planets that could be in the stars' habitable zones (where liquid water could exist on a planet surface). Only 0.5% of the stars are expected to have their planets orbits in the habitable zones properly aligned for detection by Kepler. A terrestrial planet with mass between 0.5 to 10 Earth masses will cause its star to dim by a fractional amount of between 0.00005 to 0.0004, respectively.

Another method of planet detection uses the gravitational lensing effect discussed in the Einstein's Relativity chapter. When a star passes almost in front of another more distant star as seen from the Earth (the stars are not orbiting each other), the light from the distant star can be warped and focussed toward us by the gravity of the nearer star to produce multiple images of the distant star or even a ring of light if they are aligned exactly right. This lensing effect is too small and the resolving powers of telescopes are too small too see the multiple images. The multiple images will blend together into a single blurry blob that is brighter than when the multiple images are not present (a microlens event). As the nearer star moves in front of the distant star, the nearer star's blurry blob will appear to brighten and then dim as the nearer star moves out of alignment. The microlens event for typical stars in our galaxy moving at typical speeds will last a few weeks to a few months and the amount of the brightness magnification will depend on how closely the near and distant stars are aligned with our line of sight.

close up view of microlens event

The animation above shows an extemely-magnified view of two possible microlens events (what you would see if you had an optical telescope several hundred meters across in space). The brightness of the ring and the combined brightness of the two distorted images exceed the distant star's brightness when it is not lensed. This animation is adapted from a figure by Penny Sackett in a talk about the search for planetary systems using microlenses.

If the nearer star has a planetary system with a planet at the right position, a smaller and briefer microlens event will happen superimposed on top of the star's microlens. By looking for brief deviations in the otherwise smooth increase, then smooth decrease of a stellar microlens event, you could detect the presence of a planet. The planet's mass and orbit size could be determined from careful measurements of the brief deviations. The microlens event method can be used to detect terrestrial planets. Like the transit method, a lot of stars must be monitored to pick up even a single stellar microlens event. Four planets (so far --- as of mid-May 2007) have been found this way.

The transit and microlens techniques are not good for looking planets around a particular star of interest. The star-wobble and direct imaging methods are better. However, the transit and microlens methods are useful for determining the statistics of planetary systems in our galaxy, particularly the number of star systems with terrestrial planets in the habitable zones.

In the next few years, ground-based interferometers will be completed that can image large extrasolar planets. What about Earth-like planets? It is unlikely that life could arise on a gas giant planet. NASA's proposed Terrestrial Planet Finder, a space-based mission, should be able to obtain infrared or optical pictures of life-bearing planets. With the Terrestrial Planet Finder, astronomers will also be able to analyze the spectrum of the planets to determine the composition of their atmospheres. Spectral lines from water would say that a planet has a vital ingredient for life. If oxygen is found in the atmosphere, then it would be very likely that life is indeed on the planet. Recall from the previous chapter that molecular oxygen quickly disappears if it is not continually replenished by the photosynthesis process of plants and algae. The setup and technologies the Terrestrial Planet Finder will employ will be determined by 2006 and will be based on the experience gained from previous projects such as the Keck Interferometer, the Large Binocular Telescope Interferometer, Kepler, and the Space Interferometry Mission. Current plans are to have the Terrestrial Planet Finder launch sometime between 2012 and 2015.

Extrasolar Planets Web Sites

The number of stars with detected planets and the details about them changes so rapidly that the best place to find up-to-date information on extrasolar planets is on the internet. Here are some WWW links (will display in another window):
  1. An excellent starting point is the Extra Solar Planets Encyclopedia This site is maintained by Jean Schneider of Observatorie de Paris (it is in English, though).
  2. Planet Quest: the search for another Earth (NASA-JPL).
  3. Exploration of Neighboring Planetary Systems (NASA-JPL). A "Road Map" document written in 1995 that outlines the next 20+ years of the search for another life-bearing planet outside the solar system.
  4. The planet search team at San Francisco State University headed by Geoffrey Marcy.
  5. The space infrared interferometer project called Darwin (ESA and NASA). Darwin's first aim is to detect Earth-like planets around nearby stars, and then to search for ozone in the planet atmospheres---a signature of life.

Review Questions

  1. What are two signatures of a planet in the starlight?
  2. Why is it better to search in the infrared, rather than the optical band?
  3. What challenges to the standard condensation model do the other planetary systems give? What is a likely explanation?
  4. What would be a good way to search for Earth-like planets around other stars? How could you tell if life was probably present on an extrasolar planet?

More Solar System References

Introductory Planets Course

The University of Washington Astronomy department has an excellent web page for their introductory planets course, Astronomy 150. If you need more information about the solar system than what I have in my notes, then that is the place to check next.

Tours of the Planets

Starting points for excellent tours of each of the planets and their moons and the solar system ``fluff'' is given on the Planet Links page.

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last updated: June 2, 2007

Is this page a copy of Strobel's Astronomy Notes?

Author of original content: Nick Strobel