Astronomy and Astrophysics – Astronomy
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21833115n&link_type=abstract
American Astronomical Society, AAS Meeting #218, #331.15; Bulletin of the American Astronomical Society, Vol. 43, 2011
Astronomy and Astrophysics
Astronomy
Scientific paper
In this study, the main discussion emphasizes on three dimensional orbit and the spacecraft stability analysis based on linearizing of equations of motion. The main points are to monitor the entire solar system and to determine the stability of the spacecraft on a halo orbit around CN lines (Cyrus Nejat lines). After the determination of instability of the system, the gain matrix is used to stabilized the system based on zeroth order optimization techniques. Root Locus, and Nyquist theorems are used to demonstrate the system is stable based on the procedure that it had been used. The controllability and observability of the system have been evaluated in order to determine the possibility of having stabilized system by using PD method. The results show stability condition after using gain matrix and illustrate promising features for the initial values that have been used to stabilize the system.
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