M

 29.7698 -57.627 -22.0289 L-1 = -9.77862 20.168 8.49176 29.9709 -56.3922 -22.4075

 4488.1674 km 4466.1251 km 4440.4533 km RECI = 867.33155 km 974.49353 km 1085.4885 km 4433.2015 km 4433.2015 km 4433.2015 km

Now that the inverse of the line of sight unit matrix (L-1) and the ECI matrix (RECI) of the observation location have been determined, we need to multiply them together to determine an intermediate matrix (M), some of whose components will be used to determine the coefficients that will be used to estimate the second geocentric radial distance of the satellite.

As a result, matrix multiplication will be required. The equation below shows exactly how the two matrices will be multiplied:

M = L-1 RECI

More specifically, the individual components of the M matrix are provided by the following equations:

M11 = (L-111)(RECI11) + (L-112)(RECI21) + (L-113)(RECI31)
M12 = (L-111)(RECI12) + (L-112)(RECI22) + (L-113)(RECI32)
M13 = (L-111)(RECI
13) + (L-112)(RECI23) + (L-113)(RECI33)
M21 = (L-121)(RECI
11) + (L-122)(RECI21) + (L-123)(RECI31)
M22 = (L-121)(RECI
12) + (L-122)(RECI22) + (L-123)(RECI32)
M23 = (L-121)(RECI
13) + (L-122)(RECI23) + (L-123)(RECI33)
M31 = (L-131)(RECI
11) + (L-132)(RECI21) + (L-133)(RECI31)
M32 = (L-131)(RECI
12) + (L-132)(RECI22) + (L-133)(RECI32)
M33 = (L-131)(RECI
13) + (L-132)(RECI23) + (L-133)(RECI33)

 -14028.095 km -20859.718 km -28020.276 km M = 11249.889 km 13626.673 km 16116.251 km -13733.543 km -20437.266 km -27465.919 km

BACK TO STEP #4

PROCEED TO STEP #6

 SITE MAP Step 5: M Matrix Was Last Modified On September 23, 2013