Attitude guidance and simulation with animation of a land-survey satellite motion

Guidance, navigation and attitude control of mini-satellites in a low earth orbit constellation for areal survey

“…Eight columns a s are defined for spline σ σ σ a (t) on the basis of (i) three boundary conditions σ σ σ a (0) = σ σ σ 1 ; σ σ σ a (0) = σ σ σ 1 ; σ σ σ a (0) = σ σ σ 1 on the left end of interval T, which results in a 0 =σ σ σ 1 , a 1 = σ σ σ 1 and a 2 = σ σ σ 1 /2; (ii) two conditions σ σ σ a (τ 2 ) = σ σ σ 2 ; σ σ σ a (τ 3 ) = σ σ σ 3 in points τ 2 and τ 3 ; (iii) three boundary conditions σ σ σ a (T ) = σ σ σ 4 ; σ σ σ a (T ) = σ σ σ 4 ; σ σ σ a (T ) = σ σ σ 4 . Elaborated matrix relation is applied for simultaneous analytical computation of all five sought columns a s , s = 3 ÷ 7 [Somova, 2016].…”