Titius-Bode law

Titius-Bode law

Titius-Bode law (Bode's law) An empirical arithmetical relationship between the distances of the planets from the Sun. If the Sun-Earth distance is taken as 10, then the distances of Mercury, Venus, Earth Mars, Jupiter, and Saturn are approximately satisfied by the sequence: 4, 4 + 3, 4 + 6, 4 + 12, 4 + 48, and 4 + 96. The more accurate version of the ‘law’ is given by the function rn = ABn, where rn is the distance of the nth planet, A is a constant, and B = 1.73. This version is due to Mary Blagg (1858–1944). It is not clear that the ‘law’ has any fundamental significance, but may be merely a consequence of gravitational and tidal evolution following planetary and satellite formation. The asteroid belt occurs about 4 + 24, corresponding to the former ‘missing planet’ in the sequence, that was believed to exist for many years. Uranus, discovered in 1781, occurs close to the next term, 4 + 192, but the position of Neptune does not fit the ‘law’. The regular satellites of the giant planets fit modifications of the ‘law’. The ‘law’ was discovered in 1766 by J. D. Titius (1729–96) and was popularized by J. E. Bode (1747–1826).

Show all research tools

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

AILSA ALLABY and MICHAEL ALLABY. "Titius-Bode law." A Dictionary of Earth Sciences. 1999. Encyclopedia.com. 28 May. 2012 <http://www.encyclopedia.com>.

AILSA ALLABY and MICHAEL ALLABY. "Titius-Bode law." A Dictionary of Earth Sciences. 1999. Encyclopedia.com. (May 28, 2012). http://www.encyclopedia.com/doc/1O13-TitiusBodelaw.html

AILSA ALLABY and MICHAEL ALLABY. "Titius-Bode law." A Dictionary of Earth Sciences. 1999. Retrieved May 28, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O13-TitiusBodelaw.html

Learn more about citation styles

Titius-Bode law

Titius-Bode law or Titius's law: see Bode's law .

Show all research tools

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"Titius-Bode law." The Columbia Encyclopedia, 6th ed.. 2011. Encyclopedia.com. 28 May. 2012 <http://www.encyclopedia.com>.

"Titius-Bode law." The Columbia Encyclopedia, 6th ed.. 2011. Encyclopedia.com. (May 28, 2012). http://www.encyclopedia.com/doc/1E1-X-TitiusBode.html

"Titius-Bode law." The Columbia Encyclopedia, 6th ed.. 2011. Retrieved May 28, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1E1-X-TitiusBode.html

Learn more about citation styles

Titius–Bode law

Titius–Bode law See bode's law.

Show all research tools

Cite this article
Pick a style below, and copy the text for your bibliography.

  • MLA
  • Chicago
  • APA

"Titius–Bode law." A Dictionary of Astronomy. 1997. Encyclopedia.com. 28 May. 2012 <http://www.encyclopedia.com>.

"Titius–Bode law." A Dictionary of Astronomy. 1997. Encyclopedia.com. (May 28, 2012). http://www.encyclopedia.com/doc/1O80-TitiusBodelaw.html

"Titius–Bode law." A Dictionary of Astronomy. 1997. Retrieved May 28, 2012 from Encyclopedia.com: http://www.encyclopedia.com/doc/1O80-TitiusBodelaw.html

Learn more about citation styles

Free newspaper and magazine articles

Derivation of the Newton's law of gravitation based on a fluid mechanical...
Magazine article from: Progress in Physics; 10/1/2008
The search(es) for Planet X.
Magazine article from: The Evening Standard (London, England); 4/1/2002
Numerical patterns in nature.
Magazine article from: The World and I; 5/1/1998

Pictures from Google Image Search

Click to see an enlarged picture
Click to see an enlarged picture
Click to see an enlarged picture

See more pictures of Titius-Bode law