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Mathematics Math21b Spring 2010

Linear Algebra and Differential Equations

Exhibit: Titius Brahe Law

Course Head: Oliver Knill

Office: SciCtr 434

Email: knill@math.harvard.edu

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 wThe 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. |

Please send questions and comments to math21b@fas.harvard.edu

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