The Evolution of Worlds

Name: The Evolution of Worlds
Author: Lowell, Percival

Lowell, Percival

Cosmogony

⌠         ⌠
    │ _rd_Θ = │ (_a_ · 1 - _e_²)/(1 + _e_ cos Θ)_d_Θ
    ⌡         ⌡
                                             ________________
      = (2_a_· 1 -_e_²)/(1 -_e_²)^{½} tan⁻¹(√(1 -_e_)/(1 +_e_)tan (Θ/2))

and ∫_r_² _d_Θ is given above.

By collision a part of this energy is lost, being converted into heat.
The major axis, _a_, is, therefore, shortened. But from the expression
2π_a_² · (1-_e_²)^{½} for the moment of momentum we see that this is
greatest when _e_ is least. If, therefore, _a_ is diminished, _e_ must
also be diminished, or the moment of momentum would be lessened, which
is impossible.


7 CAPTURE OF SATELLITES

See has recently shown (_Astr. Nach._ No. 4341-42) that a particle
moving through a resisting medium under the attraction of two bodies
revolving round one another in circles may eventually be captured
by one of them though originally under the domination of both. The
argument consists in introducing the effect of a resisting medium upon
the motion in the space permitted by Jacobi’s integral, following
Darwin’s examination of this space. In the actual case of nature the
effect is much more complicated, and at present is not capable of exact
solution for masses other than indefinitely small, even supposing
circular orbits for the chief bodies. It may, however, explain the
curious relation shown in the arrangement of the direct and retrograde
movement of satellites.




INDEX


                    A
    Abnormality, the survival of original state, 144, 146.
    Absorption in spectrum,
      planetary, 52, 161.
      of Uranus, 118.
      of Jupiter, 152.
      of Saturn, 152.
    Achilles, 94.
    Adams, 119, 121.
    Adams, Mr. J. C., 123-126.
    Agassiz, 41.
    Airy, 121, 123.
    Albedo,
      of dark star, 27.
      of Mercury, 62, 73-75.
      of Venus, 73-75.
      of Moon, 75.
      of Jupiter, 104, 105.
      of Saturn, 109.
      of Uranus, 116.
      of Neptune, 168.
      of clouds, 195.
    Algol, 3.
    American Academy, 125.
    Amphibians, first record of, 188.
    Anderson, Dr. Thomas D., 8, 12.
    André, 215.
    Andromeda, great nebula in, 10, 20, 21.
      constitution disclosed by spectroscope, 45, 48.
    Apex of Sun’s way, 26.
    Arago, 121.
    Asteroids, 39, 60, 61, 94-102.
      domain of, 94.
      diminutive size, 94, 101.
      number, 94, 101.
      peculiar discovery of, 95-98.
      never formed part of a pristine whole, 98.
      where thickest, 98.
      formation of large planet from, prevented, 98, 99.
      mid-course between planets and comets, 100.
      shape of, 101, 102.
      mammoth meteorites, 102.
      mark transition between inner and outer planets, 102.
    Atmosphere,
      spectrographic study of, 53, 54, 161.
      Mercury deprived of, 71, 75, 232.
      reflecting power, 75.
      of Venus, 75.
      Moon deprived of, 75, 232.
      thin on Mars, 75, 91, 232.
      of Uranus, enormous, 117, 118, 232.
      of Neptune, vast, 118, 232.

Public-domain text, read in full here on John Shaqi.

Opening the text

The Evolution of WorldsLowell, Percival

Science

The Evolution of Worlds

Lowell, Percival

Cosmogony

⌠         ⌠
    │ _rd_Θ = │ (_a_ · 1 - _e_²)/(1 + _e_ cos Θ)_d_Θ
    ⌡         ⌡
                                             ________________
      = (2_a_· 1 -_e_²)/(1 -_e_²)^{½} tan⁻¹(√(1 -_e_)/(1 +_e_)tan (Θ/2))

and ∫_r_² _d_Θ is given above.

By collision a part of this energy is lost, being converted into heat.
The major axis, _a_, is, therefore, shortened. But from the expression
2π_a_² · (1-_e_²)^{½} for the moment of momentum we see that this is
greatest when _e_ is least. If, therefore, _a_ is diminished, _e_ must
also be diminished, or the moment of momentum would be lessened, which
is impossible.


7 CAPTURE OF SATELLITES

See has recently shown (_Astr. Nach._ No. 4341-42) that a particle
moving through a resisting medium under the attraction of two bodies
revolving round one another in circles may eventually be captured
by one of them though originally under the domination of both. The
argument consists in introducing the effect of a resisting medium upon
the motion in the space permitted by Jacobi’s integral, following
Darwin’s examination of this space. In the actual case of nature the
effect is much more complicated, and at present is not capable of exact
solution for masses other than indefinitely small, even supposing
circular orbits for the chief bodies. It may, however, explain the
curious relation shown in the arrangement of the direct and retrograde
movement of satellites.




INDEX


                    A
    Abnormality, the survival of original state, 144, 146.
    Absorption in spectrum,
      planetary, 52, 161.
      of Uranus, 118.
      of Jupiter, 152.
      of Saturn, 152.
    Achilles, 94.
    Adams, 119, 121.
    Adams, Mr. J. C., 123-126.
    Agassiz, 41.
    Airy, 121, 123.
    Albedo,
      of dark star, 27.
      of Mercury, 62, 73-75.
      of Venus, 73-75.
      of Moon, 75.
      of Jupiter, 104, 105.
      of Saturn, 109.
      of Uranus, 116.
      of Neptune, 168.
      of clouds, 195.
    Algol, 3.
    American Academy, 125.
    Amphibians, first record of, 188.
    Anderson, Dr. Thomas D., 8, 12.
    André, 215.
    Andromeda, great nebula in, 10, 20, 21.
      constitution disclosed by spectroscope, 45, 48.
    Apex of Sun’s way, 26.
    Arago, 121.
    Asteroids, 39, 60, 61, 94-102.
      domain of, 94.
      diminutive size, 94, 101.
      number, 94, 101.
      peculiar discovery of, 95-98.
      never formed part of a pristine whole, 98.
      where thickest, 98.
      formation of large planet from, prevented, 98, 99.
      mid-course between planets and comets, 100.
      shape of, 101, 102.
      mammoth meteorites, 102.
      mark transition between inner and outer planets, 102.
    Atmosphere,
      spectrographic study of, 53, 54, 161.
      Mercury deprived of, 71, 75, 232.
      reflecting power, 75.
      of Venus, 75.
      Moon deprived of, 75, 232.
      thin on Mars, 75, 91, 232.
      of Uranus, enormous, 117, 118, 232.
      of Neptune, vast, 118, 232.

Public-domain text, read in full here on John Shaqi.

The Evolution of Worlds

The Evolution of Worlds

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