Theory and Applications of Multi-Tethers in Space by Panfeng Huang & Fan Zhang
Author:Panfeng Huang & Fan Zhang
Language: eng
Format: epub
ISBN: 9789811503870
Publisher: Springer Singapore
(5.1)
where is the position vector of knot in ECI frame, represents the positive position vector of centroid expressed in LVLH frame, and is the vector from to knot in ECI frame, where is the symbol of the rows of connecting net’s knot, and represents the columns (as shown in Fig. 5.2).
The position vector can be written as in LVLH frame. The second derivative with respect to Eq. (5.1) without considering orbital perturbations is
(5.2)
where is the earth gravitational constant, is the control input of knot , is the external acceleration of the platform caused by the platform thrust and the tension acting on platform, represents the mass of knot , is the set of the adjacent knots which connect to knot by an adjacent knit cable, and is the tension acting on knot exerted by the neighbor knot .
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