As an example; Celeste's trip to Sirius would need to travel at an average speed of 9/25th of the speed of light or .36 % in order to reach Sirius, 9 light years away in 25 years. At this high velocity, there will be effects of a relativistic nature that she will note. As the starship approaches Sirius, Celeste observes Sirius to be moving slightly faster than expected. Sirius appears to speed up hastening to the appointed rendezvous. There will be a bending of the light rays toward the center of field of vision. Even it's red shift seems altered. She will also notice a slow down of the playback rate of incoming messages from Earth. The overall mission seems to be proceeding faster and she must arrange for engine shutdown and reignition sooner than expected. She also notices that the efficiency of the engines has suffered due to the high speeds and the relative mass increase.
Celeste, being a top navigator, knows to watch the Current Earth Time (CET), that is relativistically compensated by the on board computer which senses all velocity changes. She bases her course corrections and navigational sightings on the CET time while the Current Ship Time (CST) runs noticeably slower. When Celeste finally arrives at Sirius, she knows to list the T-coordinate for Sirius based on CET and not CST. The extra time that she saved by a relativistic time dilation was an extra bonus and does not change the SGC coordinates.
It can be seen that, although relativity compensation must be made on a mission to mission bases, the basic structure of the SGC system remains intact.
As points of interest, I have included some relativistic formulae below:
An already published formulae showing the bending of
the light rays toward the center due to acceleration is:
Time dilation may be found by using Einstein's formulae:
A more simple version showing only the time dilation
Just as a matter of interest, the total time dialation for Celeste's mission to Sirius would be 236 days. In other words, at the end of the mission, Celeste's clock would be 236 days less than her stay on Earth sister, Candice.
Backward to Chapter 7 - Estimated Deviations
Table of Contents | The Appendix Last updated: October 3, 2002 |