Calculating the
probablity of ET life.
The Drake Equation was proposed by Frank Drake
at the first SETI meeting in 1961. It reads:
N = R* × fp × ne × fl × fi × fc × L
Where:
N = The number of communicative civilizations.
The number of civilizations in the Milky Way Galaxy
whose radio emissions are detectable.
. . R* = The rate of formation of suitable stars.
The rate of formation of stars with a large enough
"habitable zone" and long enough lifetime to be suitable
for the development of intelligent life.
. . fp = The fraction of those stars with planets.
The fraction of sun-like stars with planets is
currently unknown, but evidence indicates that planetary
systems may be common for stars like the sun.
. . ne = The number of "Earths" per planetary system.
All stars have a habitable zone where a planet would
be able to maintain a temperature that would allow liquid
water. A planet in the habitable zone could have the basic
conditions for life as we know it.
. . fl = The fraction of those planets where life
develops.
Although a planet orbits in the habitable zone
of a suitable star, other factors are necessary for life to
arise. Thus, only a fraction of suitable planets will actually develop life.
. . fi = The fraction life sites where intelligence develops.
Life on Earth began over 3.5 billion years ago.
Intelligence took a long time to develop. On other life-
bearing planets it may happen faster, it may take longer,
or it may not develop at all. For more information, please
visit Dr. William Calvin's "The Drake Equation's fi".
. . fc = The fraction of planets where technology
develops The fraction of planets with intelligent life that develop
technological civilizations, i.e., technology that releases
detectable signs of their existence into space.
. . L = The "Lifetime" of communicating civilizations.
The length of time such civilizations release detectable signals into space.
N- is the no. of communicative civilizations in the
galaxy
N(s)- the rate of formation of suitable stars in the
galaxy
f(p)- the fraction of stars that have planetary systems
n(e)- no. of planets in each system that are suitable
for life
f(l)- the no. of these planets where intelligence arises
f(c)-the fraction of these planets on which technical
civilizations capable of communicating arises
f(L)-the fraction of planetary lifetime during which
civilization exists.
1) The laws of thermodynamics. Even an advanced civilization is bound by the laws of thermodynamics, especially the Second Law, and can hence be ranked by the energy at their disposal.
. . 2) The laws of stable matter. Baryonic matter (e.g. based on protons and neutrons) tends to clump into three large groupings: planets, stars and galaxies. (This is a well-defined by-product of stellar and galactic evolution, thermonuclear fusion, etc.) Thus, their energy will also be based on three distinct types, and this places upper limits on their rate of energy consumption.
. . 3) The laws of planetary evolution. Any advanced civilization must grow in energy consumption faster than the frequency of life-threatening catastrophes (e.g. meteor impacts, ice ages, supernovas, etc.). If they grow any slower, they are doomed to extinction. This places mathematical lower limits on the rate of growth of these civilizations.