Method of calculating MH370's distance from satellite

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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:

MH370's estimated maximum range, based on UAE343, with Inmarsat Arcs added

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I updated my MH370's estimated maximum range, based on UAE343 image, by adding the Inmarsat Arcs that were shown on a Malaysian Government image dated 17/03/2014. (I don't have the link for it.)

I'm still analyzing the Inmarsat MH370 Data Communication Logs (PDF), but I don't have anything ready to post yet.

In case you hadn't heard, today they said none of the underwater pings that they had detected were from MH370's black boxes. That came as no surprise to me, considering the fact that the signals they detected were outside of the black box tolerance specifications.

MH370's estimated maximum range, based on UAE343

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At 18:22 UTC, UAE343 was flying at 34,000 feet in close proximity to where they identified MH370 as being at that same time (Last Air Defense Radar Point on their Preliminary Report map).

Based on that fact, I created a circle, with an origin at KUL,  to show the estimated maximum straight line range that MH370 could have traveled shortly before the last satellite communication at 00:19 UTC.

Reference points at 00:13 UTC:
A) UAE343, DXB
B) AXM5878, KUL
C) CCA1877, PEK
D) Inmarsat-3 F1 Satellite

Notes:
DXB is Dubai International Airport in Dubai, United Arab Emirates
KUL is Kuala Lumpur International Airport in Sepang (near Kuala Lumpur), Malaysia
PEK is Beijing Capital International Airport in Beijing, People's Republic of China

Inmarsat-3 F1 Satellite is located at 0N 64.5E 35,800 km above sea level. It is a geostationary satellite, but it wobbles up and down over the equator, in a figure-8 pattern.

I captured the screen shot using FlightRadar24 and filtered on Callsigns UAE343, AXM5878, and CCA1877.