Step 10 - The "Z" Matrix

	3563.8925 km	5052.4587 km	6016.5229 km
r =	-346.24563 km	1056.2713 km	2392.5540 km
	6251.1122 km	5011.6366 km	3143.8252 km

To begin finding the velocity vector of the satellite, we need to perform some intermediate steps. First, we need to determine the "Z matrix" by using the following cross-product equations:

Z₁₁ = r₂₁r₃₂ - r₃₁r₂₂Z₂₁ = r₃₁r₁₂ - r₁₁r₃₂Z₃₁ = r₁₁r₂₂ - r₂₁r₁₂
Z₁₂ = r₂₂r₃₃ - r₃₂r₂₃Z₂₂ = r₃₂r₁₃ - r₁₂r₃₃
Z₃₂ = r₁₂r₂₃ - r₂₂r₁₃
Z₁₃ = r₂₃r₃₁ - r₃₃r₂₁Z₂₃ = r₃₃r₁₁ - r₁₃r₃₁Z₃₃ = r₁₃r₂₁ - r₂₃r₁₁

	-8,338,127.7 km²	-8,669,878.9 km²	16,044,659 km²
Z =	13,722,552 km²	14,268,579 km²	-26,405,705 km²
	5,513,829.1 km²	5,733,199.8 km²	-10,610,000 km²

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Step 10: Z Matrix Was Last Modified On September 23, 2013