In a previous paper of mine¹ I discussed Hubble’s Law and the Reciprocal System. I integrated Hubble’s equation to obtain the following equation representing the distance of a galaxy from our galaxy as a function of time:
| r = ro + (vi - ro)e}Ht |
(1)
|
where ro is the gravitational limit, H is Hubble’s constant, and ri is the initial distance.
Now if we go back to Hubble’s original equation,
| V = Hr |
(2)
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we can differentiate this, instead of integrating it as before.
| dv/dt = H dr/dt = a = Hv = H²r |
(3)
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Hence, the force of the space-time progression must be
| Fp = mG² H²r + FG¹-G² |
(4)
|
where mG² is the mass of the galaxy moving away and FG¹-G² is the gravitational attraction.
This equation should have many applications in the Reciprocal System.
References
1. R. W. Satz, “Hubble’s Law and the Reciprocal System,”Reciprocity, Vol. VII, No. 3