
The
DrakeSeager equation treats only the red dwarfs,
that is, a certain set of stars, the socalled
Mstars. One can extend the consideration here
and also refer to other sets of stars, e.g. On
the Gstars the sunlike stars.
The DrakeSeager equation is then compatible with
Equation System 6.3.3 and can be completely
replaced by the relationships found in Chapters
17. 
N* = N_{s}
= A·F_{s} according to
Equation 1.4.1, for the number of G stars (sunlike
stars) present in the galaxy with F_{s
}= 7:25 and A = 100300 billion
stars.
f_{Q} Gstars
do not throw gamma rays into space, so all stars are
observable, ie f_{Q} =1. The factor can therefore
be dispensed with.
f_{HZ}
= F_{ph} = F_{p}·F_{h
}is the proportion of those G stars, which
have a planet first, and secondly it is in a habitable
zone. F_{p} =
201:14,000 and F_{h}
= 10:603.
f_{O} =
F_{k} quantifies the
proportion of those planets which visibly travel past the
star for the Kepler telescope. According to Chapter 1.2,
the probability of such a transit is 0.47 % so F_{k}
= 0.004,7.
f_{L} =
F_{L} is the fraction
of planets with life, with F_{L}
= 1:9.
f_{S} stands
for an intelligence which leaves a measurable
biosignature in the atmosphere, ie a technological
civilization, with f_{S}
= F_{i}·F_{z}
= 1:14 · 1:7,943 = 1:111.203
The entire DrakeSeager equation can then be applied to
the set of solarlike star systems in the galaxy observed
with the Kepler telescope (or equivalent). All the
probability factors of the DrakeSeager equation are
completely replaceable by the factors from the equation
system 6.3.3. The transformed DrakeSeager equation for G
stars is then:
10.3.1 Equation 
N = A · F_{s}
· F_{p }·
F_{h}
· F_{k }·
F_{L }·
F_{i}
· F_{z} 
According to definition 1.7.1 is F_{sph }= F_{s}
· F_{p} · F_{h} = 1:15,000
According to definition 6.2.2 is: F_{Liz} = F_{L}
· F_{i} · F_{z} = 1:987
Equation 10.3.1 can thus also be written as transformed
DrakeSeagerEquation:
10.3.2 Equation 
N = A · F_{sph}
· F_{k }·
F_{Liz} 
Substituting
all the values into equation 10.3.2:
N = (100300)·10^{9} · 1:15,000 · 0.004,7 ·
1:1001
N = 32 – 94 technological civilizations
Comparison of special basic model
Equivalent and thus comparable to the
transformed DrakeSeager equation is equation 6.3.3 from
the Special Basic Model. According to theorem 6.4.1 of
the Special Basic Model, there are probably 10 
290 technological civilizations, on "Earth
2" in solarlike systems, in our galaxy.
The Drake Seager window is well located in the lower part
of the basic model window. The Drakecorrected Special
Basic Model 9.8.2 delivers 22  199
"Earths 2" with technological civilizations.
The Seager_window is well located in the lower part of
the Drake window.
10.3.3 Theorem 
The special basic model and
the transformed DrakeSeager equation represent
two mutually equivalent approaches. 
In the DrakeSeager approach, earthsimilarity
plays no role and only technological civilizations, on
habitable planets in the galaxy, are asked.
This model can also be transferred to other star sets and
observation devices. If you omit the factor F_{z},
then you can apply equation 10.3.2 to intelligent
species. If you omit the factor F_{i}, then
equation 10.3.2 can also be applied to animate planets.
