by **muon200** » Thu Dec 25, 2014 10:31 am

Rigor for exponents is next...

Issac Newton has written 330 years ago...

f is force of gravity

for a 1 kilogram mass find the force

f = GM 1kg /R^2

G = 6.6719199 x 10^-11 (meter^3/kg sec^2)

M = 5.9736 x 10^24 kg

R = 6371000 meter

so R^2 = 4.0589641 x 10^13 meter^2

f = 9.819101557 Newtons of force for 1kg

sanity check sequence

ignore exponent, get mantissa

(6.6 x 5.97 / 40589641000)

39.8/40 = 9.9

Exponent Accounting Rigor Department

f = GM 1kg /R^2

G = 6.6719199 x 10^-11 (meter^3/kg sec^2)

M = 5.9736 x 10^24 kg

R = 6371000 meter

so R^2 = 40589641000 meter^2

f = 9.819101557 Newtons of force

f = 6.6719199 x 10^-11 (meter^3/kg sec^2) 5.9736 x 10^24 kg x 1kg /R^2

R^2 = 4.0589641 x 10^13

Exponents -11 +24 - 13 = 0 Good!

$$$$$$$$$$$$$$$$$$$$$$$$$$

December 25, 2014 Alan Folmsbee has written

f is the force of gravity.

find the force from a 1 kilogram mass

f = spacevar x mastime

spacevar = 13.159472 square meters r/R^2

mastime = M 1kg /sqrt(tau) (1/kg sec^1.5)

r = 10^-15 meters

R = 6371000 meter

so R^2 = 4.0589641 x 10^13 meter^2

M = 5.9736 x 10^24 kg

tau = 3.88 nanoseconds will be used today. This is a variable for the Conservation of Continuum for the proton volume.

The Square Root of tau is 1.9697715 sqrt(ns)

or it can be written as

6.2289646e-5 sqrt(seconds)

get mantissas

spacevar = 13.159472/40589641000 = 3.242076469

mastime = 5.9736/sqrt(3.88ns)

mastime = 5.9736/1.9697715 = 3.0326360189

force is 9.8320378 Newtons

This matches Newton and Folmsbee force results as close as you want to adjust tau from 3.88 nanoseconds to a better value.

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

Begin sanity check sequence and exponent accounting rigor.

spacevar = 13.159472 square meters r/R^2

mastime = M 1kg /sqrt(tau) (1/kg sec^1.5)

find exponents only

spacevar = 1.3159472 x 10^1 x 10^-15/4.0589641 x 10^13 meter^2

1-15-13 = -27

for exponents of mastime use this sqrt(tau) = 6.2289646e-5 ns but use 1.9697715 mantissa

mastime = 5.97 x 10^+24 x 1 x/1.9697715e-5

24 +5 = 29

mind mantissas

spacevar 1.3159472/4.0589641 = .3242076469 x 10^-27

spacevar = 3.242076469 x 10^-28

mastime 5.9736 x 1/1.9697715 = 3.032636

3.032636 x 10^29

mastime = 3.032636 x 10^29

force = 3.032636 x 10^29 x 3.242076469 x 10^-28

force = f = 9.832037 Newtons

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$

Note The use of tau = 3.88 nanoseconds causes a problem when separately figuring exponents and mantissas.

sqrt(tau) = sqrt(3.88 ns) = sqrt(3.88) x sqrt(ns) = 6x10-5 sqrt(seconds)

more later...