Sa. Kessler et Da. Cicci, FILTERING METHODS FOR THE ORBIT DETERMINATION OF A TETHERED SATELLITE, The Journal of the astronautical sciences, 45(3), 1997, pp. 263-278
The motion of a tethered satellite is affected by a force exerted on t
he satellite via the tether. This tether force causes the satellite to
experience modified Keplerian motion. Current satellite tracking meth
ods do not account for the modified Keplerian motion of tethered satel
lites and may result in inaccurate prediction of a tethered satellite'
s trajectory. In order to distinguish between Keplerian and modified K
eplerian motion, the performance of a batch-type filter was evaluated
using a variety of state vectors in order to determine the best possib
le estimation model. Eight different state vectors were evaluated, and
those determined to most accurately distinguish between the two types
of motion were then used to calculate the length of the tether. Three
of the eight models were determined to adequately differentiate betwe
en Keplerian ant modified Keplerian motion. However, only one state ve
ctor was found to provide an accurate calculation of the tether length
.