Another intermediate matrix will be required before we can finally determine the velocity vector of the satellite. The intermediate "N Matrix" is determined by using the following equations: N_{11} = r_{1}Z_{12} + r_{2}Z_{13} + r_{3}Z_{11 }N_{21} = r_{1}Z_{22} + r_{2}Z_{23} + r_{3}Z_{21 }N_{31} = r_{1}Z_{32} + r_{2}Z_{33} + r_{3}Z_{31} _{ }N_{12} = Z_{11} + Z_{12} + Z_{13 }N_{22} = Z_{21} + Z_{22} + Z_{23 }N_{32} = Z_{31} + Z_{32} + Z_{33} _{ }N_{13} = (r_{2}-r_{3})r_{11} + (r_{3}-r_{1})r_{12} + (r_{1}-r_{2})r_{13 }N_{23} = (r_{2}-r_{3})r_{21} + (r_{3}-r_{1})r_{22} + (r_{1}-r_{2})r_{23 }N_{33} = (r_{2}-r_{3})r_{31} + (r_{3}-r_{1})r_{32} + (r_{1}-r_{2})r_{33}
We can also define two values using this matrix that will be used in the next step: N_{1} = [ (N_{11})^{2} + (N_{21})^{2} + (N_{31})^{2} ]^{1/2 }N_{2} = [ (N_{12})^{2} + (N_{22})^{2} + (N_{32})^{2} ]^{1/2} N_{1} =
1.4336385 x 10^{10} km^{3} |
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SITE MAP | ||
Step 12: N Matrix Was Last Modified On September 23, 2013 |