ANIMATIONS:
-
" A View of the Pioneer 10 Spacecraft Trajectory "
The view of the trajectory of the Pioneer 10 spacecraft looks quite different from the Earth than from the Sun. Transforming signals from one frame to another may produce anomalies in calculated Doppler signals.
- "Clocks Calibrated in Different IFRs Run
at the Same Rate
" Two observers, moving with respect to
each other, who each construct identical clocks in their
respective IFRs, will determine that the others
clock is running at the same rate as their own. This can
be accomplished by each observer sending a radio signal
based on the frequency of its clock to the other
observer. After accounting for motion induced Doppler in
the received signal, each observer will conclude that the
initial rate of the others clock is the same as
their own..
- "Identical Clocks From Different IFRs
Experience Identical Slowing When Placed In Motion" Clocks constructed by Alice and Bob in
different IFRs will run at the same rate. If these two
exchange clocks, each clock that is placed in motion will
experience slowing with respect to its calibrated rest
frame. When the clocks are given back, each will have
accumulated less time than the stay at home clock, but
will now be running synchronously with that clock.
- "Simultaneous Events for Moving Observers
- Case I" In
general, observers in motion with respect to one another,
will detect light from a distant event at different
times, or different locations, or both. In Case I, each
of three observers will detect the light from a distant
flash simultaneously, though at different locations. The Doppler
shift in their observed frequencies betrays relative
motion with respect to the source, thus each observer is
able to agree on the distance from, and time since, their
current locations.
- "At Rest From All Frames of Reference" Make equally spaced marks along a piece of elastic, than pull one
end forward at 100 kph. Allow automobiles to travel along side the elastic at any
velocity they choose between 0 and 100 kph. If they travel witha camera with an open
shutter, one line will appear in sharp focus at the center of their plate. All such autos will conclude
they have photographed an object that is at rest from all frames of reference.
Of course, the real situation bears no resemblance to this conclusion.
- "Simultaneous Events for Moving Observers
- Case II" In
general, observers in motion with respect to one another,
will detect light from a distant event at different
times, or different locations, or both. In Case II, each
of three observers will detect the light from a distant
flash at the same location, though at different times. The Doppler
shift in their observed frequencies betrays relative
motion with respect to the source, thus each observer is
able to agree on the distance from, and time since, their
current locations.
New Animations: Updated 11/28/05
Questions? Comments?
crenshaw@teleinc.com