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Measurements of the variation in the star’s radial velocity as the planet goes around the star can tell us the mass and orbital period of the planet. If there are several planets present, their effects on the radial velocity can be disentangled, so the entire planetary system can be deciphered—as long as the planets are massive enough to produce a measureable Doppler effect    . This detection technique is most sensitive to large planets orbiting close to the star, since these produce the greatest wobble in their stars. It has been used on large ground-based telescopes to detect hundreds of planets, including one around Proxima Centauri, the nearest star to the Sun.

The second indirect technique is based on the slight dimming of a star when one of its planets transits , or crosses over the face of the star, as seen from Earth. Astronomers do not see the planet, but only detect its presence from careful measurements of a change in the brightness of the star over long periods of time. If the slight dips in brightness repeat at regular intervals, we can determine the orbital period of the planet. From the amount of starlight obscured, we can measure the planet’s size.

While some transits have been measured from Earth, large-scale application of this transit technique requires a telescope in space, above the atmosphere and its distortions of the star images. It has been most successfully applied from the NASA Kepler space observatory, which was built for the sole purpose of “staring” for 5 years at a single part of the sky, continuously monitoring the light from more than 150,000 stars. The primary goal of Kepler was to determine the frequency of occurrence of exoplanets of different sizes around different classes of stars. Like the Doppler technique, the transit observations favor discovery of large planets and short-period orbits.

Recent detection of exoplanets using both the Doppler and transit techniques has been incredibly successful. Within two decades, we went from no knowledge of other planetary systems to a catalog of thousands of exoplanets. Most of the exoplanet    s found so far are more massive than or larger in size than Earth. It is not that Earth analogs do not exist. Rather, the shortage of small rocky planets is an observational bias: smaller planets are more difficult to detect.

Analyses of the data to correct for such biases or selection effects indicate that small planets (like the terrestrial planets in our system) are actually much more common than giant planets. Also relatively common are “super Earths,” planets with two to ten times the mass of our planet ( [link] ). We don’t have any of these in our solar system, but nature seems to have no trouble making them elsewhere. Overall, the Kepler data suggest that approximately one quarter of stars have exoplanet systems, implying the existence of at least 50 billion planets in our Galaxy alone.

Transiting planets by size.

A graph that shows transiting planets by size. The x-axis is labeled “Mass (Earth radii)” and the y-axis is labeled “Number of Planets”. A legend labels “Newly verified Kepler Planets” and “Previously verified transiting planets”. Under 0.5 to 0.7 mass, approximately 10 previously verified and 10 newly verified planets are shown. Under 0.7 to 1.2 mass, approximately 80 previously verified and 100 newly verified planets are shown. Under 1.2 to 1.9 mass, approximately 300 previously verified and 450 newly verified planets are shown. Under 1.9 to 3.1 mass, approximately 400 previously verified and 550 newly verified planets are shown. Under 3.1 to 5.1 mass, approximately 50 previously verified and 40 newly verified planets are shown. Under 8.3 to 13.7 mass, approximately 170 previously verified and 40 newly verified planets are shown. Under 13.7 to 22 mass, approximately 150 previously verified and 20 newly verified planets are shown. At the top of the graph, the planets are shown over their approximate sizes, from left to right, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, and Jupiter. Between Earth and Neptune there is a gap labeled “Planet sizes observed in our solar system”.
This bar graph shows the planets found so far using the transit method (the vast majority found by the Kepler mission). The orange parts of each bar indicate the planets announced by the Kepler team in May 2016. Note that the largest number of planets found so far are in two categories that we don’t have in our own solar system—planets whose size is between Earth’s and Neptune’s. (credit: modification of work by NASA)
Practice Key Terms 1

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Source:  OpenStax, Astronomy. OpenStax CNX. Apr 12, 2017 Download for free at http://cnx.org/content/col11992/1.13
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