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A History Lesson: the Asteroids
1766: The Titius-Bode Law
OSA = 0.4 + (0.3 x 2
N
)
1) Mercury:
OSA = 0.4 = 0.4
2) Venus:
OSA = 0.7 = 0.4 + (0.3 x 2
0
)
3) Earth:
OSA = 1.0 = 0.4 + (0.3 x 2
1
)
4) Mars:
OSA = 1.6 = 0.4 + (0.3 x 2
2
)
Crazy
Mystery:
Planet?
OSA = 2.8 = 0.4 + (0.3 x 2
3
)
6) Jupiter:
OSA = 5.2 = 0.4 + (0.3 x 2
4
)
1781: Herschel finds Uranus, and it fits perfectly as the next term
in the Titius-Bode Law.