Hi, everybody. Mi name is Fabio Onier Osorio Pelaez and I'm from Colombia.(adsbygoogle = window.adsbygoogle || []).push({});

I hope to be finishing my Bachelor´s degree in Physics at University of Antioquia by next August. I'm doing my final project on the detection of planets by the Radial Velocity technique and I have a question about an statement of Christophe Lovis and Debra Fischer in a paragraph in the third page or their article (page 29 in the book Exoplanets). I quote the complete paragraph emphasizing the statement in which I am interested:

"The unknown inclination angle ##i## prevents us from measuring the true mass of the companion ##m_2##. While this is an important limitation of the RV technique for individual systems, this fact does not have a large impact on statistical studies of exoplanet populations. Because inclination angles are randomly distributed in space,angles close to 90° (edge-on system) are much more frequent than pole-on configurations. Indeed, the distribution function for ## i ## is given by ## f(i)di=\sin(i)di ##. As a consequence, the average value of ##\sin(i)## is equal to ##\pi/4## (0.79). Moreover, the."a prioriprobability that ##\sin(i)## is larger than 0.5 is 87%

I wondered if you may tell me how did they conclude that. I'll be thankful if you can help me with that information. It will be very useful for my work.

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# How to check a statement about orbital angles of exoplanets?

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