21 B
Mathematics Math21b Spring 2010
Linear Algebra and Differential Equations
Exhibit: Titius Brahe Law
Course Head: Oliver Knill
Office: SciCtr 434

The following pages are from the book "Solar System Dynamics" by C.D. Murray and S.F. Dermott. In the homework you have done some datafitting to derive a Kepler law. Here is an other example of a data fitting problem in astronomy: the Titius-Brade Law: Brade's law was that the distance d from the sun in astronimical units from the sun to each of the six known planets is
d = 0.4 + 0.3 wn,   n=-infinity, 0,1,2,4,5
The law predicted an other planet for n=3 and 6 etc. brode claimed a planet at n=3. After Uranus was found close to n=6, the law was considered a success and called Titius Bode law.

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Math21b (Exam Group 1)| Oliver Knill | Spring 2010 | Department of Mathematics | Faculty of Art and Sciences | Harvard University