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This is the basis for the preliminary analysis I am currently doing:
"Slant Range to target is measured by round trip delay in the received echo. It is the speed of light multiplied by the time delay and divided by two to account for the round trip." (Source)
Rp = Slant Range, Satellite to MH370
Dp = Distance, Satellite to MH370
Hp = Height, Satellite to MH370
Ep = Elevation Angle, MH370 to Satellite
Rg = Slant Range, Satellite to GES
Dg = Distance, Satellite to GES
Hg = Height, Satellite to GES
Eg = Elevation Angle, GES to Satellite
Hs = Height, Satellite to ground
T = (2 x (Rp + Rg) ) / c
T = round trip time of messages
c = speed of light
Rg = sqrt( (Dg x Dg) + (Hg x Hg) )
Rp = ((T x c) / 2) - Rg
Dp = sqrt( (Rp x Rp) - (Hp x Hp) )
Notes:
Drawing Not To Scale
Hp unknown, test for Satellite Height (Hs) minus MH370 Height (0 to 45000 feet)
delta times calculated from Inmarsat MH370 log file will include various overhead times that need to be determined and subtracted out, when computing Rp
Revision 1: Updated diagram on June 02, 2014. Updated blog post on June 03, 2014.
Diagram posted on May 30, 2014:
