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The chapter presents the nonlinear theory based on orbital elements.
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A relative dynamics equation-set based on orbital element differences with J2 effects is derived, based on which a two-level approach is proposed to optimize the Mars orbital rendezvous phasing with a large difference in the initial ascending node.
Based on orbital data contained in the DISCOS database, the situation on the geostationary ring is analysed.
Charge calculation schemes can be based on orbital-based population analysis, on wave-function-dependent physical observables or on reproducing charge-dependent observables.
A numerical optimization technique is developed based on the new orbital elements, and quasiperiodic stellar orbits are found.
The underlying methodology utilizes a cyclic control algorithm based on a mean orbital elements feedback.
Current operations for collision avoidance are based on Two-Line Elements (TLE) orbital data or the Conjunction Summary Message (CSM) data.
This paper has presented a methodology for periodicity characterization and Poisson series fitting for orbital prediction error based on historical orbital data.
This vision could be based on three elements.
This was based on Five Elements which were traditionally used to classify natural elements.
Transactivation effector domains are based on viral elements.
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