A and B are in relative motion:
___________________________________________________________
From observer A's point of view the transforms are as follows:
x'= f_aa/f_ab[x + t(f_aa-f_ab)lambda] (5)
t'= f_aa/f_ab[t + x(f_aa - f_ab)/(lambda*f_aa^2)] (6)
OR
x'= f_ab/f_aa[x - t(f_aa-f_ab)lambda] (7)
t'= f_ab/f_aa[t - x(f_aa - f_ab)/(lambda*f_aa^2)] (8)
Equations 5 and 6 are used when B's clock is running faster than A's clock
Equations 7 and 8 are used when B's clock is running slower than A's clock
Definitions:
f_aa=frequency of a standard light source in A's frame as measured by A.
f_ab=frequency of an identical standard light source in B's frame as
measured by A
Lambda=wvaelength of the standard light source in A's frame as measured by
A.
____________________________________________________________
From observer B's point of view the transforms are as follows:
x'= f_bb/f_ba[x + t(f_bb-f_ba)lambda] (9)
t'= f_bb/f_ba[t + x(f_bb - f_ba)/(lambda*f_bb^2)] (10)
OR
x'= f_ba/f_bb[x - t(f_bb - f_ba)lambda] (11)
t'= f_ba/f_bb[t - x(f_bb - f_ba)/(lambda*f_bb^2)] (12)
Equations 9 and 10 are used when A's clock is running faster than B's clock.
Equations 11 and 12 are used when A's clock is running slower than B's clock
Definitions:
f_bb=frequency of a standard light source in B's frame as measured by B.
f_ba=frequency of an identical standard light source in A's frame as
measured by B.
Lambda=wavelength of the standard light source in B's frame as measured by
B.
_____________________________________________________________
Ken Seto
"kenseto" <kenseto@woh.rr.com> wrote in message
news:45a86064$0$5820$4c368faf@roadrunner.com...
A and B are in relative motion:
___________________________________________________________
From observer A's point of view the transforms are as follows:
x'= f_aa/f_ab[x + t(f_aa-f_ab)lambda] (5)
t'= f_aa/f_ab[t + x(f_aa - f_ab)/(lambda*f_aa^2)] (6)
OR
x'= f_ab/f_aa[x - t(f_aa-f_ab)lambda] (7)
t'= f_ab/f_aa[t - x(f_aa - f_ab)/(lambda*f_aa^2)] (8)
Equations 5 and 6 are used when B's clock is running faster than A's clock
Equations 7 and 8 are used when B's clock is running slower than A's clock
____________________________________________________________
From observer B's point of view the transforms are as follows:
x'= f_bb/f_ba[x + t(f_bb-f_ba)lambda] (9)
t'= f_bb/f_ba[t + x(f_bb - f_ba)/(lambda*f_bb^2)] (10)
OR
x'= f_ba/f_bb[x - t(f_bb - f_ba)lambda] (11)
t'= f_ba/f_bb[t - x(f_bb - f_ba)/(lambda*f_bb^2)] (12)
Equations 9 and 10 are used when A's clock is running faster than B's
clock.
Equations 11 and 12 are used when A's clock is running slower than B's
clock
_____________________________________________________________
Ken Seto
.
