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The Space Cases
The # of planets with interstellarly communicative life
forms in the Milky Way galaxy

The original formula was:
    N = R*fpnef lfifcL
Well, one, it is answering a slightly different question. Or
  rather, slightly different questions. The Drake Equation attempts to
  answer the question “How many planets with interstellarly
  communicative life forms are there in the Milky Way galaxy today?”

   The Space Case Equation attempts to answer three questions:
1.   How many planets with interstellarly communicative life forms
     (“Drake planets”) have ever existed in a galaxy, based upon the
     galaxy’s parameters
2.   Based upon the galaxy’s age and the mean # of years a Drake planet is
     active, how many are likely to exist at any given point in the galaxy’s
     history? (Including the present)
3.   What is the mean distance between two active Drake planets?
     (Measured in light years)
      = # of stars present in galaxy
      = % of stars with planets
      = % of planets in the
    habitable zone
      = % of habitable planets
    with life
      = % of habitable planets
    with life that have developed
    interstellar communications
   a = age of the galaxy
   L = mean # of years
    communicative civilizations
    remain active
   * “Drake planet” refers to a
    planet that possesses a race
    and/or races of interstellarly
    communicative life forms
Or, once the latter part of the equation has been
determined:
In the highly improbable event the planets with
interstellarly communicative life forms were uniformly
dispersed across the galaxy, how many light years
would it take for a light signal sent by one to reach the
other?*

*This equation does not attempt to factor in the usage
of wormholes
 Why             ?
 This is the formula for determining the volume of a
 cylinder. Such as…
So why                     ? Why is the galaxy’s volume
being divided by x to begin with?

The galaxy’s volume divided by x (the resulting factor
produced from Part I of the equation) represents the
quadrant a hypothetical Drake planet resides in.

Why take the cubic root of volume divided by x?

Light moves in a straight line in all directions (due to the
universe we live in being a “flat” universe it has no
curvature); Therefore it is in essence 1 Dimensional, as
opposed to the 3 Dimensional calculation of volume
Simply put, if the volume of the quadrant a possible
Drake planet resides in is represented by “V” and the
distance light needs to travel to reach a certain point is
“y” then…



And with the miracle of mathematics the equation can
be rewritten as:
Even more simply put, look at
    this rubix cube:

 The cube has a height of three
    units, a width of three units, and
    a length of three units
   How do you find the volume?
   3 x 3 x 3 = 27 cubic units
   Suppose you only knew the
    volume, and you needed to find
    the height/width/length.
   You would need to find the cubic
    root of 27 units, which is 3.
    400 Billion = # of stars present
    in galaxy
    15% = % of stars with planets
   37.5% = % of planets in the
    habitable zone
    50% = % of habitable planets
    with life
    1% = % of habitable planets
    with life that have developed
    interstellar communications
   12.2 Billion = age of the galaxy
   10,000 = mean # of years
    communicative civilizations
    remain active
Radius of the Milky Way Galaxy: 50,000 light
years

Height of the Milky Way Galaxy: 1000 light years
Part I: (400,000,000,000 x .15 x .375 x .5 x .01)
/(12,200,000,000 / 10,000) = 92.213

Part II:                             =
85,174,944,517.67
 There are an estimated 92 Drake planets. That is, there are 92
  planets in the Milky Way galaxy with extant interstellarly
  communicative life forms.

 If these planets were uniform in distance throughout the Milky
  Way galaxy, there would be one interstellarly communicative
  civilization per 85.2 billion cubic light years.

 This space is approximately 1% of the volume of the galaxy in its
  entirety (1.08%).

 But, light travels in a straight line. Meaning y (light years needed
  to travel to the nearest interstellarly communicative civilization)
  would be = 85,174,944,517 which is 4,399.8 light years.
 Bennett, Jeffrey, and Seth Shostak. Life in the Universe. 3rd. San Francisco, CA:
  Pearson Education, Inc., 2007. Print.
 Christian, Eric, and Samar Safi-Harb. "Size of the Milky Way." Imagine the
  Universe. NASA, 01 Dec 2005. Web. 18 Oct 2011.
  <http://imagine.gsfc.nasa.gov/docs/ask_astro/answers/980317b.html>.
 Frommer, Hartmut, and Christine Kronberg. "The Milky Way Galaxy." Messier.
  N.p., 25 Aug 2005. Web. 18 Oct 2011.
  <http://messier.seds.org/more/mw.html>.
 Koppes, Steve. "Scientist refines cosmic clock to determine age of Milky Way ."
  University Of Chicago News Office. N.p., 01 Jul 2005. Web. 18 Oct 2011.
  <http://www-news.uchicago.edu/releases/05/050629.milkyway.shtml>.
 Ohio State University. "In all the universe, just 15 percent of solar systems are
  like ours." ScienceDaily, 6 Jan. 2010. Web. 18 Oct. 2011.
  <http://www.sciencedaily.com/releases/2010/01/100105161540.htm>

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The Space Case (Drake) Equation

  • 2. The # of planets with interstellarly communicative life forms in the Milky Way galaxy The original formula was: N = R*fpnef lfifcL
  • 3. Well, one, it is answering a slightly different question. Or rather, slightly different questions. The Drake Equation attempts to answer the question “How many planets with interstellarly communicative life forms are there in the Milky Way galaxy today?” The Space Case Equation attempts to answer three questions: 1. How many planets with interstellarly communicative life forms (“Drake planets”) have ever existed in a galaxy, based upon the galaxy’s parameters 2. Based upon the galaxy’s age and the mean # of years a Drake planet is active, how many are likely to exist at any given point in the galaxy’s history? (Including the present) 3. What is the mean distance between two active Drake planets? (Measured in light years)
  • 4. = # of stars present in galaxy  = % of stars with planets  = % of planets in the habitable zone  = % of habitable planets with life  = % of habitable planets with life that have developed interstellar communications  a = age of the galaxy  L = mean # of years communicative civilizations remain active  * “Drake planet” refers to a planet that possesses a race and/or races of interstellarly communicative life forms
  • 5. Or, once the latter part of the equation has been determined:
  • 6. In the highly improbable event the planets with interstellarly communicative life forms were uniformly dispersed across the galaxy, how many light years would it take for a light signal sent by one to reach the other?* *This equation does not attempt to factor in the usage of wormholes
  • 7.  Why ? This is the formula for determining the volume of a cylinder. Such as…
  • 8. So why ? Why is the galaxy’s volume being divided by x to begin with? The galaxy’s volume divided by x (the resulting factor produced from Part I of the equation) represents the quadrant a hypothetical Drake planet resides in. Why take the cubic root of volume divided by x? Light moves in a straight line in all directions (due to the universe we live in being a “flat” universe it has no curvature); Therefore it is in essence 1 Dimensional, as opposed to the 3 Dimensional calculation of volume
  • 9. Simply put, if the volume of the quadrant a possible Drake planet resides in is represented by “V” and the distance light needs to travel to reach a certain point is “y” then… And with the miracle of mathematics the equation can be rewritten as:
  • 10. Even more simply put, look at this rubix cube:  The cube has a height of three units, a width of three units, and a length of three units  How do you find the volume?  3 x 3 x 3 = 27 cubic units  Suppose you only knew the volume, and you needed to find the height/width/length.  You would need to find the cubic root of 27 units, which is 3.
  • 11. 400 Billion = # of stars present in galaxy  15% = % of stars with planets  37.5% = % of planets in the habitable zone  50% = % of habitable planets with life  1% = % of habitable planets with life that have developed interstellar communications  12.2 Billion = age of the galaxy  10,000 = mean # of years communicative civilizations remain active
  • 12. Radius of the Milky Way Galaxy: 50,000 light years Height of the Milky Way Galaxy: 1000 light years
  • 13. Part I: (400,000,000,000 x .15 x .375 x .5 x .01) /(12,200,000,000 / 10,000) = 92.213 Part II: = 85,174,944,517.67
  • 14.  There are an estimated 92 Drake planets. That is, there are 92 planets in the Milky Way galaxy with extant interstellarly communicative life forms.  If these planets were uniform in distance throughout the Milky Way galaxy, there would be one interstellarly communicative civilization per 85.2 billion cubic light years.  This space is approximately 1% of the volume of the galaxy in its entirety (1.08%).  But, light travels in a straight line. Meaning y (light years needed to travel to the nearest interstellarly communicative civilization) would be = 85,174,944,517 which is 4,399.8 light years.
  • 15.  Bennett, Jeffrey, and Seth Shostak. Life in the Universe. 3rd. San Francisco, CA: Pearson Education, Inc., 2007. Print.  Christian, Eric, and Samar Safi-Harb. "Size of the Milky Way." Imagine the Universe. NASA, 01 Dec 2005. Web. 18 Oct 2011. <http://imagine.gsfc.nasa.gov/docs/ask_astro/answers/980317b.html>.  Frommer, Hartmut, and Christine Kronberg. "The Milky Way Galaxy." Messier. N.p., 25 Aug 2005. Web. 18 Oct 2011. <http://messier.seds.org/more/mw.html>.  Koppes, Steve. "Scientist refines cosmic clock to determine age of Milky Way ." University Of Chicago News Office. N.p., 01 Jul 2005. Web. 18 Oct 2011. <http://www-news.uchicago.edu/releases/05/050629.milkyway.shtml>.  Ohio State University. "In all the universe, just 15 percent of solar systems are like ours." ScienceDaily, 6 Jan. 2010. Web. 18 Oct. 2011. <http://www.sciencedaily.com/releases/2010/01/100105161540.htm>