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单词 Bode’s law
释义
Bode’s law

Astronomy
  • A numerical sequence announced by J. E. Bode in 1772 which matches the distances from the Sun of the six planets then known. It is also known as the Titius–Bode law, as it was first pointed out by the German mathematician Johann Daniel Titius (1729–96) in 1766. It is formed from the sequence 0, 3, 6, 12, 24, 48, 96, 192 by adding 4 to each number. The planets were seen to fit this sequence quite well—as did Uranus, discovered in 1781. However, Neptune and Pluto do not conform to the ‘law’. Bode’s law stimulated the search for a planet orbiting between Mars and Jupiter that led to the discovery of the first asteroids. It is often said that the law has no theoretical basis, but it does show how orbital resonance can lead to commensurability.

    Bode’s law

    Planet

    Mercury

    Venus

    Earth

    Mars

    Ceres

    Jupiter

    Saturn

    Uranus

    Bode’s law distance

    4

    7

    10

    16

    28

    52

    100

    196

    Actual distance (10−1 au)

    3.9

    7.2

    10

    15.2

    28

    52

     95

    192


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