Fibonacci numbers and the Pascal Triangle

 

        

The Law of Venus

        

Titius Bode Law of planetary distances is the observation that orbits of planets in the solar system closely follow a simple geometric rule. This Titius Bode Law - The Law of Venus , giving the approximate distances of the planets from the Sun which was formulated by Rasko Jovanovic.Titius Bode Law - The Law of Venus form is:

r(k)= (0.547076 + 0.417692*2k)* 108.208 *106km


where k is an integer which defines planet in Solary sistem, and 108.208 *106km is distance of Venus. The following table gives the the actual planets distances.



Planet n k The Law of Venus *106km Semi-Major Axis*106km
Mercury 1 59.198 57.940
Venus 2 0 104.396 108.208
Earth 3 1 149.593 149.597
Mars 4 2 239.988 227.940
asteroid belt 5 3 420.779 -
Jupiter 6 4 782.359 778.330
Saturn 7 5 1505.523 1429.40
Uranus 8 6 2951.845 2870.99
Pluto 9 7 5844.493 5913.52



See, also :

        

        

  2001-2006 Radoslav Rasko Jovanovic                 created:  October 2006.