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Lucy Chen edited Consider_trying_to_understand_Frank__.tex
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Consider trying to understand Frank Drake's \textbf{Fermi Paradox} which estimates the number of technological civilizations that might exist among the stars.
($R$ is the annual rate of star formation, $n_e$ is the average number of habitable planets, $f_p$ is the fraction of stars that have planets, $f_p$ is the fraction of stars that have planets, $f_l$ is the fraction of habitable planets, $f_i$ is the fraction of life-bearing planets that develop an intelligent life-form, and $f_c$ is the fraction of intelligent life-forms that decide to communicate)
\begin{equation}\nonumber
N =\underbrace{\overbrace{R}^{\approx10} \times \overbrace{f_p}^{\approx 1} \times \overbrace{n_e}^{\approx 0.2}}_{\sim 2} \times \underbrace{f_l \times f_i \times f_c \times L}_{?}
\end{equation}
\begin{itemize}
\item $R$ the rate of star formation, which tells how many stars are born every year in our Galaxy.
\item $n_e$ is the average number of habitable planets in any planetary system
\item $f_p$ is the fraction of stars that have planets
\item $f_l$ is the fraction of habitable planets that host life
\item $f_i$ is the fraction of life-bearing planets that develop an intelligent life-form
\item $f_c$ is the fraction of intelligent life-forms that decide to communicate
\end{itemize}
Kind of hard, right? Now use the figure below, which allows you to play with the number $N$ of communicative civilizations in the Galaxy as function of their average longevity $L$. Is it a bit easier?