Sunday 28 October 2012

Bode's Law - just too simple!


So what's the Titius-Bode Law all about?     
In 1766, Johann Daniel Titius, a German mathematician from Wittenburg developed a formula which fitted the approximate distances of the six known planets of our solar system, relative to the sun. His astronomer friend, Johann Elert Bode, published the finding in 1772.  The formula can be represented like this:                          a = (3x2n+4)/10  where 'a' is the no. of astronomical units (AU), with Earth's distance of 150,000,000 kms = 1 AU.          
'n' represents the planet's numeric position as below, with 3x2n = 0 for Mercury                                                                    
This is how the formula closely fits those 6 planets:

PLANET                           BODE'S LAW                          ACTUAL MEAN
Mercury                                 0.4 AU                                    0.39 AU                           

Venus  (0)                               0.7                                          0.72                          
Earth  (1)                                1.00                                        1.00                              
Mars  (2)                                 1.6                                          1.52                                
?            (3)                              2.8                                                    
Jupiter (4)                               5.2                                           5.2                                  
Saturn (5)                              10.0                                        9.54
Nine years later (1781) Uranus was accidently discovered – where it was meant to be!
Uranus (6)                              19.6 AU                                  19.18 AU

Then the position of Neptune was calculated before its discovery in 1846.
Neptune (7)                           38.8                                        30.06

Why do many astronomers say they reject Bode’s Law?   Only because there are asteroids (minor planets) where a 5th planet was indicated, and Neptune’s orbit seems out of position by ignoring the anomaly of Pluto/Charon looping inside Neptune’s orbit.                                                                     
Besides, we can’t have our solar system being designed with simple mathematics – that would never do.                                                                  
Nice try, Johann and Johann!

1 comment:

  1. After visiting family in Melbourne I dropped in to see a special Museum exhibit on Mesopotamia, which turned out to be well presented but sanitised (we mustn’t mention Israel). Tucked away in a remote corner was this little plaque on Bode’s Law that is held in contempt by many astronomers.

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