2 articles for "Titius"

**Titius, Johann D.**[Astro*Index]

Astronomer.

Best-known for a footnote in a book he was translating. He shares credit for the mathematical curiosity known as the Titius-Bode Law, a formula for the distances of the successive planets from the sun.

See also:

♦ Titius-bode Law

**Titius-Bode Law**[Astro*Index]

A mathematical curiosity named after Johann D. Titius and Johann E. Bode.

The formula: D = (3n+4)/10, n=0,1,2,... gives approximate mean distances (in AUs) for the planets, where n=0 represents Mercury, n=1 represents Venus, n=2, Earth, etc. The values for Ceres, the largest of the asteroids, has been used for n=4. The formula gives a poor values for Neptune and Pluto.

The following table compares the results obtained from the formula (D), with the actual value (a):

n | Planet | D | a | |
---|---|---|---|---|

0 | Mercury | 0.4 | 0.39 | |

1 | Venus | 0.7 | 0.72 | |

2 | Earth | 1.0 | 1.00 | |

3 | Mars | 1.6 | 1.52 | |

4 | (Ceres) | 2.8 | 2.7 | |

5 | Jupiter | 5.2 | 5.2 | |

6 | Saturn | 10.0 | 9.5 | |

7 | Uranus | 19.6 | 19.2 | |

8 | Neptune | 38.8 | 30.1 | |

9 | Pluto | 77.2 | 39.4 | |

The values for Ceres, the largest of the asteroids, has been used for n=4. |

See also:

♦ Titius, Johann D. ♦ Bode, Johann Elert ♦ Richardson's Formula

Astro*Index Copyright © 1997 Michael Erlewine

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