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The Genesis Scale: Phase Two

By Ian Beardsley

Copyright © 2015 by Ian Beardsley

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The Principle Behind The Genesis Scale

This is phase two of the Genesis Scale. In phase one we considered the stars and the temper-atures of planets brought about by them. We use models that may not represent what is going on in Nature as a finished product, but that represent what we suggest is a a rough hewn framework upon which the polished product hangs. Now we do the same again, but with the masses of planets as determined by the stars they orbit and how they orbit them. We use the same approach as in phase one: Present the theory of the model, then write a program that does the calculations, based on the that model, and then use the program to search for patterns or important numbers or ratios.

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The Program Peso

#include <stdio.h> #include <math.h> int main (void) { float a, M, m, l, number, P; printf("What is stellar luminosity in solar luminosities: "); scanf("%f", &l); printf("What is planet-star separation in AU: "); scanf("%f", &a); printf("What is the orbital period in years: "); scanf("%f", &P); M=pow((l),(1./3.)); number=4*(3.141)*(3.141)*(a*a*a)/((P*P)*(39.486)); printf("Mass in Solar masses of star is: %.2f\n", M); printf("number = %.2f\n", number); m=number-M; printf("The planet is %.2f solar masses.\n", m); printf("That is %f earth masses.\n", m*3.33E5); printf("Or %.2f percent of the star mass\n", (m/M)*100); }

Example of Using the Program

jharvard@appliance (~): cd Dropbox/descubrir jharvard@appliance (~/Dropbox/descubrir): ./peso What is stellar luminosity in solar luminosities: 100 What is planet-star separation in AU: 2 What is the orbital period in years: 1 Mass in Solar masses of star is: 4.64 number = 8.00 The planet is 3.35 solar masses. That is 1116834.553242 earth masses. Or 72.26 percent of the star mass jharvard@appliance (~/Dropbox/descubrir):

We already find something interesting: The 39.486 that is the gravitational constant in solar mass, astronomical units, and earth years is close to the 39.4635 that is the four times the square of pi that is in Kepler’s Law.

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The Author