beardless2
Feb25-04, 11:44 AM
Suppose we have a closed/periodic universe (t,x) ~ (t,x+L) where L is the circumference of universe. Jack and Jill set off from x=0 with different velocites. From time to time Jack and Jill's path will cross.
I having trouble getting the right calculutions to find what jack and jill can infer about their velocities and L.
Am i right in saying i have 3 knowns (relative velocity of jack and jill, time that has elasped for jack, time that has elasped for Jill and 3 unknowns (jacks velocity, jills velocity, L (circumference of universe)) with the following equations....
t'=#1(t-vx)
x'=#1(x-vt)
t''=#2(t-wt)
t''=#2(x-wt)
where #1 is (1-v^2)^-1/2 etc
and u = (v+w)/(1+u*w) (relative velocity of jack jill)
I having trouble getting the right calculutions to find what jack and jill can infer about their velocities and L.
Am i right in saying i have 3 knowns (relative velocity of jack and jill, time that has elasped for jack, time that has elasped for Jill and 3 unknowns (jacks velocity, jills velocity, L (circumference of universe)) with the following equations....
t'=#1(t-vx)
x'=#1(x-vt)
t''=#2(t-wt)
t''=#2(x-wt)
where #1 is (1-v^2)^-1/2 etc
and u = (v+w)/(1+u*w) (relative velocity of jack jill)