Drake Equation: Solving the Probability of Extraterrestrial Civilizations

  • Context: Graduate 
  • Thread starter Thread starter Orion1
  • Start date Start date
Click For Summary
SUMMARY

The Drake Equation provides a framework for estimating the number of extraterrestrial civilizations in the universe, defined as N_c = R_0 f_p n_e f_1 f_i f_c L_t. Recent calculations yield varying results based on extinction rates (R_e), with estimates ranging from 0.347 civilizations per universe to over 3,000 depending on the rate used. The equation incorporates parameters such as the galaxy stellar formation rate (R_0) and the total global species population (N_s). Critics argue that the equation relies heavily on assumptions, questioning its scientific validity.

PREREQUISITES
  • Understanding of the Drake Equation and its components
  • Familiarity with astrophysical terminology, such as galaxies and civilizations
  • Basic knowledge of statistical modeling and probability
  • Awareness of the scientific method and the role of assumptions in scientific equations
NEXT STEPS
  • Research the implications of varying extinction rates on the Drake Equation
  • Explore the role of each parameter in the Drake Equation, particularly R_0 and N_s
  • Investigate alternative models for estimating extraterrestrial life, such as the Fermi Paradox
  • Examine historical perspectives on the Drake Equation and its impact on astrobiology
USEFUL FOR

Astronomers, astrophysicists, and enthusiasts interested in the search for extraterrestrial life, as well as those studying the implications of scientific assumptions in theoretical models.

Orion1
Messages
961
Reaction score
3

Drake equation Solved...

Drake equation:
[tex]N_c = R_0 f_p n_e f_1 f_i f_c L_t[/tex]

[tex]N_c = \frac{R_0 f_p n_e f_1 f_i f_c N_s}{R_e}[/tex]

[tex]N_u = N_g R_0 f_p n_e f_1 f_i f_c L_t[/tex]

[tex]N_u = \frac{N_g R_0 f_p n_e f_1 f_i f_c N_s}{R_e}[/tex]

R0 = 4 stars*yr^-1
fp = (105/145)
ne = (1/105)
f1 = (1/128)
fi = (1/13.6*10^6)
fc = 1
Ns = 13.6*10^6 global species
Re = 8.76*10^3 species*yr^-1 (hr^-1)
Lt = (Ns/Re) = 1552.511 yrs

Ng = 1.425*10^7 galaxies/Universe

(Re = hr^-1):
Nc = 2.436*10^-8 civilizations/galaxy
Nc^-1 = 4.103*10^7 galaxies/civilization
Nu = (Nc* Ng) = 0.347 civilizations/Universe

(Re = dy^-1):
Nc = 5.848*10^-7 civilizations/galaxy
Nc^-1 = 1.709*10^6 galaxies/civilization
Nu = (Nc* Ng) = 8.337 civilizations/Universe

(Re = mo^-1):
Nc = 1.778*10^-5 civilizations/galaxy
Nc^-1 = 5.621*10^4 galaxies/civilization
Nu = (Nc*Ng) = 253.584 civilizations/Universe

(Re = yr^-1):
Nc = 2.134*10^-4 civilizations/galaxy
Nc^-1 = 4684.615 galaxies/civilization
Nu = (Nc* Ng) = 3043.017 civilizations/Universe

Extra-civilization Range:
[tex]r_c = \sqrt[3]{ \frac{3 V_u}{4 \pi N_u} }[/tex]

(Re = hr^-1):
rc = 25.060 BLy

(Re = dy^-1):
rc = 8.687 BLy

(Re = mo^-1):
rc = 2.783 BLy

(Re = yr^-1):
rc = 1.215 BLy

Nc - civilizations/galaxy
Nu - civilizations/Universe
R0 - galaxy stellar formation rate
fp - stellar planetary fraction
ne - planetary bioecology
f1 - bioecological genesis
fi - Intelligence fraction
fc - Intelligence communication
Ns - total global species population
Re - total global species extinction rate
Lt - global extinction lifetime
[/color]

All non-observable values rejected.
[/color]

Reference:
http://www.obspm.fr/encycl/catalog.html
[/color]
 
Last edited by a moderator:
Astronomy news on Phys.org
"How many alien civilizations are capable of contacting us? In 1961, radio astronomer Frank Drake presented an equation designed to estimate that number on the basis of seven assumptions. For now, the Drake Equation tells you more about your own views on life in the universe than about scientific fact."

Reference:
http://www.msnbc.com/modules/drake/default.asp

The "Drake Equation" was based on assumptions made by one man. Anyone else can make assumptions, but mine would be no more or less "accurate" than Drake's. With the key word being assumption, there is so much to be variable that I don't think that it actually deserves to be called an equation. If it is assumptions, there is no equation to solve. Just my current opinion.
 

Similar threads

  • · Replies 23 ·
Replies
23
Views
4K