A131500 Radii of orbits of planets in solar system, in units of radius of orbit of Mercury, multiplied by 4.

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

Offset: 1

Author

Alexander R. Povolotsky, Aug 12 2007, Aug 20 2007

Keywords

• nonn

Comments

A003461 is the classical version of this sequence. - N. J. A. Sloane, Aug 15 2007

(Titius

Bode

n Planet Conversion Result TitiusBode Result Result)*4

= ======= ==================== =================== =========

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

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

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

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

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

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

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

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

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

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

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

Extensions

Edited by N. J. A. Sloane, Oct 23 2009