What happens in the return sub-interval of the Michelson-Morley.
Frank Russo -April 23, 2008.
Both of the perpendicular sub-intervals are similar, however this is not the case when it comes to the two orbital sub-intervals. Whereas in the forward segment one has to have the travelled arm as 11metres, in the return segment one has to have it as 10.66420099 metres regardless of the fact that the relative arm is 10.83079918 m in both cases!
You do well to ask... "How does that alter the respective relative speed of the earth?". Well as previously explained both of these variations represent an amount of 0.166598191m, because although the forward arm appears to involve a variation of 0.169200818m - seeing that this is dealing with the section of the arm which is absolute in nature - it actually converts to an equivalent of 0.166598191m fraction of the relative arm. Hence both of these variations amount to 4,683,415.2 m of the absolute speed of light (the latter being 304,475,873.2 m/sec) .
This means that the speed of the earth is changed to 49,272,606.19 m/sec for the forward segment, and 58,785,767.03m/sec for the return segment. In the first instance, this represents an increase of 4,683,415.2m/sec on top of the relative speed of 44,589,190.99 m/sec; whilst in the latter instance this represents a decrease of 4,683,415.2 m/sec from the relative speed of 63,469,182.21 m/sec... (these pertinent relative speeds were mentioned in my "Michelson-Morley Addendum" paper of 1998 on the left of my home page).
It is noteworthy to mention that at the non-amended speed of the earth, the return segment would be composed of the light component of 9.078,076,718 m plus a 1.586,124,274 m from the earth coming to meet it which would result in an arm of 10.66420099 m when you take into account the resultant void behind it (of the same 1.586,124,274 m). However, with the more correct speed of the earth, the earth component becomes the now familiar 1.752,722,466 m resulting in the correct arm of 10.830,799,18 metres.
Of course it's a bit difficult for me to let you see all the 'machinations' that have gone on in my mind... however I do hope that you can now see, that my algebraic versions of 1998 have a foundation in the real world.
For an updated view:
371 A different slant on the Orbital Speed involved in the Michelson-Morley orbital gap. written by Frank Russo, July 11 2008