The Date Equation. Estimate the number of people at a party who are willing to go out with you afterwards. From David Grinspoon: Lonely Planets

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1 The Drake Equation

2 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards From David Grinspoon: Lonely Planets

3 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L

4 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party

5 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party f p : fraction who meet your sexual preference

6 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party f p : fraction who meet your sexual preference f at : fraction you find attractive

7 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party f p : fraction who meet your sexual preference f at : fraction you find attractive f av : fraction who are available to go out

8 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party f p : fraction who meet your sexual preference f at : fraction you find attractive f av : fraction who are available to go out f n : fraction you get up the nerve to ask

9 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party f p : fraction who meet your sexual preference f at : fraction you find attractive f av : fraction who are available to go out f n : fraction you get up the nerve to ask f i : fraction who are interested in you

10 The Date Equation Estimate the number of people at a party who are willing to go out with you afterwards N = R f p f at f av f n f i L R: rate at which people arrive at party f p : fraction who meet your sexual preference f at : fraction you find attractive f av : fraction who are available to go out f n : fraction you get up the nerve to ask f i : fraction who are interested in you L : length of time people stay at the party From David Grinspoon: Lonely Planets

11 N = N * f s f p n h f l f i f c L/T The Drake equation, formulated by Dr. Frank Drake in about 1960, provides a framework for estimating the number of intelligent civilizations in the Galaxy

12 N = N * f s f p n h f l f i f c L/T N: Number of civilizations in our Galaxy capable of interstellar communication. N * : Number of stars in the Galaxy f s : Fraction of stars suitable for supporting life f p : Fraction of stars with planets n h : number of habitable planets per star f l : fraction of habitable planets on which life evolves f i : fraction of cases where intelligent life develops f c : fraction of intelligent life that develops technological civilizations L : lifetimes of a technological civilization T : age of the Galaxy Note: N * /T = R *, the rate of star formation in the Galaxy.

13 N = N * f s f p n h f l f i f c L/T N: Number of civilizations in our Galaxy capable of interstellar communication. N * : Number of stars in the Galaxy f s : Fraction of stars suitable for supporting life f p : Fraction of stars with planets n h : number of habitable planets per star f l : fraction of habitable planets on which life evolves f i : fraction of cases where intelligent life develops f c : fraction of intelligent life that develops technological civilizations L : lifetimes of a technological civilization T : age of the Galaxy Terms we know well

14 N = N * f s f p n h f l f i f c L/T N: Number of civilizations in our Galaxy capable of interstellar communication. N * : Number of stars in the Galaxy f s : Fraction of stars suitable for supporting life f p : Fraction of stars with planets n h : number of habitable planets per star f l : fraction of habitable planets on which life evolves f i : fraction of cases where intelligent life develops f c : fraction of intelligent life that develops technological civilizations L : lifetimes of a technological civilization T : age of the Galaxy Terms we can estimate with some precision

15 N = N * f s f p n h f l f i f c L/T N: Number of civilizations in our Galaxy capable of interstellar communication. N * : Number of stars in the Galaxy f s : Fraction of stars suitable for supporting life f p : Fraction of stars with planets n h : number of habitable planets per star f l : fraction of habitable planets on which life evolves f i : fraction of cases where intelligent life develops f c : fraction of intelligent life that develops technological civilizations L : lifetimes of a technological civilization T : age of the Galaxy Terms that depend on biology and evolution

16 N = N * f s f p n h f l f i f c L/T N: Number of civilizations in our Galaxy capable of interstellar communication. N * : Number of stars in the Galaxy f s : Fraction of stars suitable for supporting life f p : Fraction of stars with planets n h : number of habitable planets per star f l : fraction of habitable planets on which life evolves f i : fraction of cases where intelligent life develops f c : fraction of intelligent life that develops technological civilizations L : lifetimes of a technological civilization T : age of the Galaxy Terms that we can only speculate about

17 N = N * f s f p n h f l f i f c L/T The Drake Equation: a way of encapsulating a lot of ignorance in a small space! We know: N * f p T We can estimate: f s n h We guess: f l f i f c L

18 Can you estimate? Number of piano tuners in Chicago? (this was the original Fermi problem) Number of pizzerias on Long Island? Number of cars on the New Jersey Turnpike? Number of bathroom stalls at Yankee Stadium?

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