What is the foundation of space science?

Answer 1

The foundation of space science is Quaternion Space and Quaternion Mathematics.

A Quaternion Space , Q:

Q= r + Ix + Jy + Kz = r + R = [r,R]

a 4D space consisting of 1 real dimension r=ct

(where c is the speed of light and t is time)

and 3 vector dimensions R= Ix + Jy + Kz.

Other Quaternion Quantities are:

Energy W and Force and Momentum and motion are quaternion quantities.

e.g. The law of gravity

W = -mGm/r + mcV = [-mu/r, cmV]

.

A Quaternion Mathematics :

A=[a,A] and B=[b,B]

A+B = [a,A] + [b,B]= [a+b, A +B]

AB= [a,A][b,B] = [ab - A.B, aB +Ab + AxB]

A Quaternion Calculus;

X= [d/dr, Del]

XB= [d/dr,Del] [b,B] = [db/dr -Del.B, dB/dr + Del b + DelxB]