DATE | Lecture 27 |
TITLE | The Search for Other Planets and Life |
READING | Essay 3 |
MAIN CONCEPTS | Drake Equation, Extrasolar Planets, SETI, Origin of Life |
The
Drake equation (named for Frank Drake of UCSC) is just a way to organize
our thoughts about the likelihood of hearing radio signals from extraterrestrial
civilizations (or just thinking about life in our Galaxy). It calulates
this number as the product of the rate of production of ETs and the lifetime
of each ET civilization (actually the period during which they send signals).
You can write:
N_ET
(number of them) = R_ET * L_ET. Since we have no clue what L_ET might be,
we concentrate on R_ET and write the answer in terms of L_ET.
To
produce ETs, we need a star with habitable planets around it (we think).
Then a planet has to produce life, the life has to become complex, and
finally has to have the will and wherewithal to send out radio signals
we can get and recognize as such. So R_ET = R_star * P_planet * P_habitable
* P_life * P_complex * P_radio emitting, where each P is the fractional
probability that, given everything up to that point, the next step can
be completed. R_star is an observed quantity in our Galaxy (admittedly
not very precise); let's say that is about 2 per year. P_planet is observationally
informed, in that our very limited search techniques already find planets
around several percent of the stars tested. We can't be wrong too far if
we set P_planet=0.5. The question of habitability used to involve wondering
how many planets similar to Earth there are; now we are willing to admit
that there might be habitable zones inside rocky planets or icy moons (if
tidally stressed like Europa) - at least for simple life. Furthermore,
we know that life arose on Earth almost as soon as it could, so the odds
seem favorable based on that one example. Obviously we are already guessing,
but it is not unreasonble to set P_habitable * P_life as high as 0.1. Once
the Earth had simple life, it was content to stay with that over most of
its existence, only during the last 20% of time has there been any complex
evolution (and of course humans appeared only at the last figurative second).
So even optimistically we probably should not set P_complex higher than
perhaps 0.01 (but this is pure guesswork and a somewhat personal choice).
The likelihood that complex, even intelligent, life will choose to (or
end up) sending radio signals recognizable as artificial we have no clue
about - other than that we are doing it. Let's be wildly optimistic and
say that P_radio emitting is 0.1. Then we find at last that N_ET is 0.0001
* L_ET (in years). This means that any radio-emitting civilizations need
to do it for at least 100,000 years on average in order that there be a
few of them doing it right now in the Galaxy. The Galaxy is a big place,
so in order that the nearest such civilization be within 1000 light years
of us pushes the required average lifetime into millions of years. And
of course this is our optimistic case; it is not hard to choose the numbers
above so that it is likely we are the only radio-emitting civilization
currently in the Galaxy. On the other hand, the same numbers suggest that
life is abundant thoughout the Galaxy. Anyone who does not like these conclusions
can take comfort in the fact that it should also be obvious we don't really
know what we are talking about. Yet.