BUILDING BLOCKS | PART 6 | KEPLERIAN DISTRIBUTION

KEPLERIAN DISTRIBUTION...

And I well thought I wouldn't come back to the BUILDING BLOCKS section, ha, I was pretty wrong I guess.

SO, last time we scratched a talk about placing planets in their orbits (PART 4), we saw what I now call 'Keplerian Distribution', in short, you set a base number, usually 0, and build up a progressive sequence with some sum or subtraction over it, and there are your planetary orbits.

If we take a look at our solar system, we will notice how planets are spaced.

Mercury - 0,38 AU

Venus - 0,73 AU

Earth - 1,00 AU 

Mars - 1,52 AU 

Jupiter - 5,2 AU

Saturn - 9,5 AU

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Johannes Kepler when measuring the Solar System, noticed that if we begin a sequence at 0, 3, 6, 12, 24, 48, 96... and so on, added 4 and divided by 10.

4, 7, 10, 16, 28, 52, 100... /10  =  0,4 AU, 0,7 AU, 1 AU, 1,6 AU, 2,8 AU, 5,2 AU, 10 AU...

Of course this kinda works well because stable orbits form from orbital resonances, and those really have a progressive mathematical relationship.

The original Keplerian Distribution falls like:

 A = ([0, 3, 6...] + 4) / 10

Repeat the procedure for every planet you have to put in place.

Keep in mind that although I stated C is any given value between 0 and 10, that is not quite a rule, but also, your orbits that fall outside the outer boundary of a star system (forty times the host star mass in AU) must be excluded if so.

I've made a Keplerian Distribution Graph in case you having any problems in visualizing what's going on.

- M.O. Valent, 28/06/2019