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Bodes Law

Titius-Bode Law

Gregory first expounded on this relationship in 1715.
Bode added additional insight 1772.

Write down first 0, then 3, and keep doubling the previous number: 6, 12, 24, 48 etc. Now add 4 to each number to get the series 4, 7, 10, 16, 28 and so on. Then divide each number by 10. The result .4, .7, 1.0, etc. give the approximate radii of the planetary orbits in astronomical units.

Planet
Distance
Distance
Bode's Law
Actual
Mean
Mercury .4 .39
Venus .7 .72
Earth 1.0 1.0
Mars 1.6 1.52
Asteroids 2.8 -
Jupiter 5.2 5.2
Saturn 10.0 9.54
Uranus 19.6 19.2
Neptune 38.8 30.6
Pluto 77.2 39.4


See Also

Harmonic
Phi
Progression
Proportion
Ratio

Page last modified on Friday 25 of June, 2010 04:21:59 MDT

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