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Radii of orbits of planets in solar system, in units of radius of orbit of Mercury, multiplied by 4.
3

%I #11 Jun 16 2017 02:44:08

%S 4,7,10,16,28,52,100,196,292,388

%N Radii of orbits of planets in solar system, in units of radius of orbit of Mercury, multiplied by 4.

%C A003461 is the classical version of this sequence. - _N. J. A. Sloane_, Aug 15 2007

%C (Titius

%C Bode

%C n Planet Conversion Result TitiusBode Result Result)*4

%C = ======= ==================== =================== =========

%C 1 Mercury 0.387/0.387 = 1.00 (3/4)*0 + 1 = 1 4

%C 2 Venus 0.723/0.387 = 1.87 (3/4)*1 + 1 = 1.75 7

%C 3 Earth 1.000/0.387 = 2.58 (3/4)*2 + 1 = 2.5 10

%C 4 Mars 1.524/0.387 = 3.94 (3/4)*4 + 1 = 4 16

%C 5 AstrBlt 2.77 /0.387 = 7.16 (3/4)*8 + 1 = 7 28

%C 6 Jupiter 5.203/0.387 = 13.44 (3/4)*16 + 1 = 13 52

%C 7 Saturn 9.539/0.387 = 24.65 (3/4)*32 + 1 = 25 100

%C 8 Uranus 19.18/0.387 = 49.56 (3/4)*64 + 1 = 49 196

%C 9 Neptune 30.06/0.387 = 77.67 (3/4)*96 + 1 = 73 292

%C 10 Pluto 39.44/0.387 = 101.91 (3/4)*128 + 1 = 97 388

%C Includes both Neptune's and Pluto's orbits, which are missing from A003461.

%K nonn

%O 1,1

%A _Alexander R. Povolotsky_, Aug 12 2007, Aug 20 2007

%E Edited by _N. J. A. Sloane_, Oct 23 2009