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Keywords Riccati equation accelerated convergence method analytical mechanics, motion geometry, regular kinematics, space flight mechanics (astrodynamics), perturbed spatial problem of two bodies bending boundary value problems creep distributed and concentrated forces equations of orbital motion, Euler (Rodrigues–Hamilton) parameters, Kustaanheimo–Stiefel variables, quaternions equilibrium inertial navigation isotropic oscillator maximum principle modeling nonholonomic constraint optimal control reachable set regularization of singularities generated by gravitational forces spacecraft steady rotations surface tension viscoelasticity

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