Table 1 Thrusters' adverse (disturbing) torque.
From: Coupled position and attitude control of a servicer spacecraft in rendezvous with an orbiting target
Thruster | Incidence from normal of the plane (out of plane) axis | Incidence from in-plane | Adverse torque |
|---|---|---|---|
1 | \({\alpha}_{{Th}_{1}}\) | \({\beta}_{{Th}_{1}}\) | \({T}_{{F}_{1}}={\left[\begin{array}{lll}-\frac{L}{2}{F}_{{1}_{z}}& 0& \frac{L}{2}{F}_{{1}_{x}}\end{array}\right]}^{T}\) |
2 | \({\alpha}_{{Th}_{2}}\) | \({\beta}_{{Th}_{2}}\) | \({T}_{{F}_{2}}={\left[\begin{array}{lll}0& -\frac{L}{2}{F}_{{2}_{z}}& \frac{L}{2}{F}_{{2}_{y}}\end{array}\right]}^{T}\) |
3 | \({\alpha}_{{Th}_{3}}\) | \({\beta}_{{Th}_{3}}\) | \({T}_{{F}_{3}}={\left[\begin{array}{lll}\frac{L}{2}{F}_{{3}_{y}}& -\frac{L}{2}{F}_{{3}_{x}}& 0\end{array}\right]}^{T}\) |
4 | \({\alpha}_{{Th}_{4}}\) | \({\beta}_{{Th}_{4}}\) | \({T}_{{F}_{4}}={\left[\begin{array}{lll}-\frac{L}{2}{F}_{{4}_{y}}& \frac{L}{2}{F}_{{4}_{x}}& 0\end{array}\right]}^{T}\) |
5 | \({\alpha}_{{Th}_{5}}\) | \({\beta}_{{Th}_{5}}\) | \({T}_{{F}_{5}}={\left[\begin{array}{lll}0& \frac{L}{2}{F}_{{5}_{z}}& -\frac{L}{2}{F}_{{5}_{y}}\end{array}\right]}^{T}\) |
6 | \({\alpha}_{{Th}_{6}}\) | \({\beta}_{{Th}_{6}}\) | \({T}_{{F}_{6}}={\left[\begin{array}{lll}-\frac{L}{2}{F}_{{6}_{z}}& 0& \frac{L}{2}{F}_{{6}_{x}}\end{array}\right]}^{T}\) |
