Style for important dates, PIC code simplification.
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@ -1,4 +1,12 @@
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.so macros.ms
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.de IMPORTANT_DATE
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.gcolor darkblue
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.I "\\$1"
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\h'7p'
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.gcolor black
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.shift
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\\$*
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..
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.so universe-from-nothing/header.ms
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.TWO_COLUMNS
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.so universe-from-nothing/preface.ms
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@ -121,67 +121,43 @@ TODO: explain how we measure stuff with telescopes (resolution, focal, arcsecond
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Diffraction: behavior of waves when reaching an aperture.
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.PS
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reset
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rad_large_circle = 0.6 # Size of circles.
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rad_empty_space = 0.5 # Size of circles.
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rad_light_source = 0.3 # Size of circles.
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rad_aperture = 0.1 # Size of circles.
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fill_large_circle = 0.1 # Represents light intensity.
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fill_empty_space = 0.6 # Represents light intensity.
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fill_light_source = 0 # Represents light intensity.
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.\" Radius for different circles.
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rad_large_circle = 0.6
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rad_empty_space = 0.5
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rad_light_source = 0.3
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rad_aperture = 0.1
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txt_x_shift = 0.05 # Shift from arrow start.
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txt_y_shift = 0.05 # Shift from arrow start.
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space_between_arrows_y = -0.25 # Allow space for text.
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.\" Light intensity.
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fill_large_circle = 0.1 # Very bright.
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fill_empty_space = 0.6 # Little bright.
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fill_light_source = 0 # Completely bright.
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CIRCULAR_DIFFRACTION_FIGURE: [
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circlerad = rad_large_circle
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circle fill fill_large_circle
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arrow_x_shift = 0.05
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txt_y_shift = 0.25 # Allow space for text.
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circlerad = rad_empty_space
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move to last circle + (-circlerad, 0)
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circle fill fill_empty_space
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.\" Circles.
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HALO: circle rad rad_large_circle fill fill_large_circle
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EMPTY: circle with .c at HALO.c rad rad_empty_space fill fill_empty_space
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SOURCE: circle with .c at HALO.c rad rad_light_source fill fill_light_source
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APERTURE: circle with .c at HALO.c rad rad_aperture fill fill_light_source dashed
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circlerad = rad_light_source
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move to last circle + (-circlerad, 0)
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circle fill fill_light_source
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.\" Legend.
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TAPERTURE: "Aperture, where light can pass through" ljust at HALO.e + (0.3, 0)
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TSOURCE: "Main visible light source, very bright" ljust at Here + (0, -txt_y_shift)
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TEMPTY: "Empty space, very little light" ljust at Here + (0, -txt_y_shift)
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THALO: "Halo, thin light" ljust at Here + (0, -txt_y_shift)
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circlerad = rad_light_source
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move to last circle + (-circlerad, 0)
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LIGHT_SOURCE: circle fill fill_light_source
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.\" Arrows.
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arrow from TAPERTURE + (-arrow_x_shift,0) to APERTURE chop 0 chop rad_aperture
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arrow from TSOURCE + (-arrow_x_shift,0) to SOURCE chop 0 chop rad_light_source
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arrow from TEMPTY + (-arrow_x_shift,0) to EMPTY chop 0 chop rad_empty_space
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arrow from THALO + (-arrow_x_shift,0) to HALO chop 0 chop rad_large_circle
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circlerad = rad_aperture
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move to last circle + (-circlerad, 0)
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APERTURE: circle fill fill_light_source dashed
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# LEGEND.
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move 0.6
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arrow to APERTURE chop 0 chop rad_aperture
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move to last arrow.s + (txt_x_shift,txt_y_shift)
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"Aperture, where light can pass through" ljust
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move to last arrow.s + (0,space_between_arrows_y)
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arrow to LIGHT_SOURCE chop 0 chop rad_light_source
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move to last arrow.s + (txt_x_shift,txt_y_shift)
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"Main visible light source, very bright" ljust
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move to last arrow.s + (0,space_between_arrows_y)
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arrow to LIGHT_SOURCE chop 0 chop rad_empty_space
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move to last arrow.s + (txt_x_shift,txt_y_shift)
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"Empty space, very little light" ljust
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move to last arrow.s + (0,space_between_arrows_y)
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arrow to LIGHT_SOURCE chop 0 chop rad_large_circle
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move to last arrow.s + (txt_x_shift,txt_y_shift)
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"Halo, thin light" ljust
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# let's cheat a little
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# Center the figure.
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.\" Let's cheat a little: centering the figure.
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false_line_x = 2.7
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line from LIGHT_SOURCE + (false_line_x,0) to LIGHT_SOURCE + (false_line_x,0)
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]
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line from SOURCE + (false_line_x,0) to SOURCE + (false_line_x,0)
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move to CIRCULAR_DIFFRACTION_FIGURE + (0, -1)
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"Circular diffraction"
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.ps 14
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"Circular diffraction" at HALO.s + (1, -1)
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.PE
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@ -5,13 +5,13 @@ Contrary to the book, I describe things chronogically in the summary.
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Some pieces of information (such as dates, explanations, events), absent from the book, are added for the sake of completeness.
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.METAINFO2
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1514: Nicolaus Copernicus suggests an heliocentric model.
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.IMPORTANT_DATE 1514 Nicolaus Copernicus suggests an heliocentric model.
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.EXPLANATION1
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Planets move around the sun.
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.EXPLANATION2
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Between 1609 and 1619: Johannes Kepler publishes his
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.IMPORTANT_DATE "Between 1609 and 1619" Johannes Kepler publishes his
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.I "laws of planetary motions" ,
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which fixes a few problems with the view of Copernicus on the matter:
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@ -44,8 +44,7 @@ of a planet is directly proportional to the
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of its orbit (or, in other words, of the "semi-major axis" of the ellipse, half of the distance across the widest part of the ellipse).
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.ENDBULLET
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1665: Isaac Newton uses a prism to see the sunlight disperse into the colors of a rainbow.
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.IMPORTANT_DATE 1665 Isaac Newton uses a prism to see the sunlight disperse into the colors of a rainbow.
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He manages to obtain this result by only letting the light of the sun enter a room by a small hole in the window shutter.
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His conclusion: the white light contains all these colors.
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@ -53,9 +52,9 @@ His conclusion: the white light contains all these colors.
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Sunlight contains a spectrum of colors.
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.EXPLANATION2
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1784: first observation of Cepheid variable star, which are stars whose brightness varies over some regular period.
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.IMPORTANT_DATE 1784 first observation of Cepheid variable star, which are stars whose brightness varies over some regular period.
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(around) 1815: a scientist\*[*]
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.IMPORTANT_DATE "(around) 1815" a scientist\*[*]
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.FOOTNOTE1
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His name is not given in the book.
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.FOOTNOTE2
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@ -72,13 +71,13 @@ some part of the solar spectrum.
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Different materials, different parts of the spectrum.
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.EXPLANATION2
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1842: Christian Doppler discovers the Doppler Effect.
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.IMPORTANT_DATE 1842 Christian Doppler discovers the Doppler Effect.
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.EXPLANATION1
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Doppler Effect: a wave coming at you will be stretched if the source is moving away from you, or compressed if the source is coming toward you.
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.EXPLANATION2
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1868: a scientist\*[*]
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.IMPORTANT_DATE 1868 a scientist\*[*]
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.FOOTNOTE1
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Again, not named in the book.
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.FOOTNOTE2
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@ -101,7 +100,7 @@ is isolated on Earth.
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The spectrum of radiation of stars provides their composition, temperature and evolution.
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.EXPLANATION2
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1908-1912: Henrietta Swan Leavitt discovers a relation between the brightness of Cepheid variable stars and their pulsation period.
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.IMPORTANT_DATE 1908-1912 Henrietta Swan Leavitt discovers a relation between the brightness of Cepheid variable stars and their pulsation period.
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.EXPLANATION1
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The light spreads out uniformly over a sphere whose area increases as the square of the distance (this is called the inverse-square law).
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@ -120,7 +119,7 @@ Therefore, comparing its known luminosity to its observed brightness gives us th
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.\".CITATION2
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.\".NAMECITATION "Lawrence Krauss"
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.
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Starting in 1912, Slipher observes the spectra of light coming from nearby stars and distant spiral nebulae\*[*]
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.IMPORTANT_DATE "Starting in 1912" Slipher observes the spectra of light coming from nearby stars and distant spiral nebulae\*[*]
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.FOOTNOTE1
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.I Nebulae
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that we will soon find out they are actually entire galaxies.
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@ -130,7 +129,7 @@ The difference is a shift of the same wavelength in the
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.I absorbed
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lines.
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1916, A. Einstein publishes his work on the
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.IMPORTANT_DATE 1916 A. Einstein publishes his work on the
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.I "general theory of relativity" .
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This work is about gravity, space and time, and explains not only how objects move in the universe, but also how the universe itself might evolve.
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Amongst many uses of this theory, the orbit of Mercury can be predicted more accurately than before with Newton's theory of gravity.
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@ -147,7 +146,7 @@ Gravitation is thought to be an attractive force: objects should then always col
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Also, the scientific community still thinks the universe as static, eternal and composed of a single galaxy (our Milky Way) surrounded by a vast, dark, infinite empty space.
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And without accurate knowledge of the distances with observed stars, nor better images, this idea seems consistent with the observations.
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1917: Mount Wilson 100-inch (2.5 m) Hooker telescope, the world's largest at the time (from 1917 to 1949).
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.IMPORTANT_DATE 1917 Mount Wilson 100-inch (2.5 m) Hooker telescope, the world's largest at the time (from 1917 to 1949).
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It will soon help to discover many things.
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For example,
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to prove the Andromeda nebula is external to our galaxy (1923, Edwin Hubble),
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@ -159,7 +158,7 @@ etc\*[*].
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We now make ten times bigger telescopes and hundred times bigger in area.
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.FOOTNOTE2
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1923-1924, with the period-luminosity relation and the measurement of Cepheid variable stars, Hubble determines that the distance with some Cepheids are too great to be inside our Milky Way\*[*].
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.IMPORTANT_DATE 1923-1924 with the period-luminosity relation and the measurement of Cepheid variable stars, Hubble determines that the distance with some Cepheids are too great to be inside our Milky Way\*[*].
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.FOOTNOTE1
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Hubble identifies a first galaxy (NGC 6822) in 1925, then the Triangulum galaxy (M33) in 1926, and Andromeda (M31) in 1929.
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.FOOTNOTE2
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@ -168,16 +167,16 @@ Hubble identifies a first galaxy (NGC 6822) in 1925, then the Triangulum galaxy
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The universe contains other galaxies.
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.EXPLANATION2
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1925: Hubble publishes his study on spiral
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.IMPORTANT_DATE 1925 Hubble publishes his study on spiral
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.I nebulae ,
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where he identified Cepheid variable stars in them (including the
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.I nebulae
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we currently know as Andromeda).
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1927: Georges Lemaître is the first person to suggest the universe is expanding.
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.IMPORTANT_DATE 1927 Georges Lemaître is the first person to suggest the universe is expanding.
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This is his conclusion after solving the Einstein's equations for general relativity.
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1929: Hubble remarks that galaxies are moving away from each other.
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.IMPORTANT_DATE 1929 Hubble remarks that galaxies are moving away from each other.
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More importantly, the more distant, the faster the velocity.
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The relation is linear: a galaxy twice more distant is moving away twice as fast.
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@ -185,7 +184,7 @@ The relation is linear: a galaxy twice more distant is moving away twice as fast
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The universe is expanding.
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.EXPLANATION2
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1930: Georges Lemaître proposes that the universe began in a very small point, which he called
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.IMPORTANT_DATE 1930 Georges Lemaître proposes that the universe began in a very small point, which he called
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.I "Primeval Atom" \*[*].
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.FOOTNOTE1
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This isn't accepted by the scientific community right away: actual observations were provided by Edwin Hubble beforehand.
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@ -185,43 +185,66 @@ Stay tuned, kids!
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.PARAGRAPH_UNINDENTED
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.ft H
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.PS
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.ps 7
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.vs 9p
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.ps 7
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reset
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scale = 1.4
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mag_massive_obj_x = 1.4
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mag_massive_obj_y = -1
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.
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rad_obs = 0.3
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rad_massive_obj = 0.5
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rad_mag = 0.4
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rad_dist = 0.27
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.
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.defcolor lightgreen rgb 0.9 1.0 0.9
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.defcolor lightblue rgb 0.9 0.9 1.0
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.defcolor bloatcode rgb 1.0 0.1 0.1
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.\" Drawing direction.
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down
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OBSERVER: circle rad rad_obs "Observer"
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scale = 1.4
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.\""""""""""""""""""""""""""""""
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.\" Variables to ajust elements.
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.\" Distances x and y between the massive object and magnified ones.
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mag_obj_x = 1.4
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mag_obj_y = -1
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.\" Radius of the different celestial objects.
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rad_obs = 0.3
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rad_massive_obj = 0.5
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rad_mag = 0.4
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rad_dist = 0.27
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.\" Distance between the light beam of the distant object
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.\" reaching the observer and the massive object's center.
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dist_beam_massive_obj = 0.32
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.\"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
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.\" Drawing of the celestial corpses (planets, galaxies, etc.).
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.\" Observer, massive object and the distant object.
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OBSERVER: circle radius rad_obs "Observer"
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move
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MASSIVE_OBJECT: circle rad rad_massive_obj "Massive" "object"
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move 1
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TARGET: circle rad rad_dist "Distant" "object"
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move to MASSIVE_OBJECT + ( mag_massive_obj_x, mag_massive_obj_y)
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MAGNIFIED1: circle rad rad_mag "Magnified" "distant" "object"
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move to MASSIVE_OBJECT + (-mag_massive_obj_x, mag_massive_obj_y)
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MAGNIFIED2: circle rad rad_mag "Magnified" "distant" "object"
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.
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MASSIVE_OBJ: circle radius rad_massive_obj "Massive" "object"
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move
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TARGET: circle radius rad_dist "Distant" "object"
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.\" "radius" can be abreviated in "rad".
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.\" Magnified objects.
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MAGNIFIED1: circle rad rad_mag "Magnified" "distant" "object" at MASSIVE_OBJ + ( mag_obj_x, mag_obj_y)
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MAGNIFIED2: circle rad rad_mag "Magnified" "distant" "object" at MASSIVE_OBJ + (-mag_obj_x, mag_obj_y)
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.\" Lines from the magnified objects to the observer.
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.\" chop = do not draw within the circles (a radius is given).
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line from MAGNIFIED1 to OBSERVER chop rad_mag chop rad_obs dashed
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line from MAGNIFIED2 to OBSERVER chop rad_mag chop rad_obs dashed
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.
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rad_correction = 0.32
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spline -> from TARGET to MASSIVE_OBJECT.e + (rad_massive_obj-rad_correction,0) to OBSERVER chop rad_dist chop rad_obs
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spline -> from TARGET to MASSIVE_OBJECT.w + (-rad_massive_obj+rad_correction,0) to OBSERVER chop rad_dist chop rad_obs
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.
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move to TARGET + (0,-0.7)
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.\" Arrows, from distant object to the observer.
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spline -> from TARGET to MASSIVE_OBJ.e + (dist_beam_massive_obj,0) to OBSERVER chop rad_dist chop rad_obs
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spline -> from TARGET to MASSIVE_OBJ.w + (-dist_beam_massive_obj,0) to OBSERVER chop rad_dist chop rad_obs
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.vs
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.ps 14
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"Gravitational lensing"
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"Gravitational lensing" at TARGET + (0,-0.7)
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.PE
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.PS
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reset
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.PE
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.ft R
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