Theoretical mechanics,
mechanics of solid bodies,
inertial navigation,
space flight mechanics,
optimal control,
spacecraft,
orbital motion,
angular motion,
orientation,
robot-manipulator,
quaternion,
biquaternion.
UDC:
629
Subject:
Theoretical mechanics, mechanics of solid bodies, inertial navigation, space flight mechanics, optimal control, spacecraft, orbital motion, angular motion, orientation, robot-manipulator, quaternion, biquaternion
Main publications:
S.E. Perelyayev and Yu.N. Chelnokov., “New algorithms for determining the inertial orientation of an object”, Journal of Applied Mathematics and Mechanics, 78:6 (2014), 560-567
Ya.G. Sapunkov, Yu.N. Chelnokov, “Construction of Optimum Controls and Trajectories of Motion of the Center of Masses of a Spacecraft Equipped with the Solar Sail and Low Thrust Engine, Using Quaternions and Kustaanheimo–Stiefel Variables”, DOI: 10.1134/S0010952514060057, Cosmic Research, 52:6 (2014), 450-460
Yu.N. Chelnokov, “Quaternion Regularization in Celestial Mechanics, Astrodynamics, and Trajectory Motion Control. III”, DOI: 10.1134/S0010952515050044, Cosmic Research, 53:5 (2015), 394-409
Yu.N. Chelnokov, “Kinematic equations of a rigid body in four-dimensional skew-symmetric operators and their application in inertial navigation”, DOI: 10.1016/j.jappmathmech.2017.06.003, J. Appl. Math. Mech., 80:6 (2016), 449-458
V.G. Biryukov and Yu.N. Chelnokov, “Kinematic Problem of Optimal Nonlinear Stabilization of Angular Motion of a Rigid Body”, DOI: 10.3103/S0025654417020017, Mechanics of Solids, 52:2 (2017), 119-127
I. A. Pankratov, Ya. G. Sapunkov, Yu. N. Chelnokov, “Quaternion models and algorithms for solving the general problem of optimal reorientation of spacecraft orbit”, Izv. Saratov Univ. Math. Mech. Inform., 20:1 (2020), 93–104
Ya. G. Sapunkov, Yu. N. Chelnokov, “Optimal rotation of the orbit plane of a variable mass spacecraft in the central gravitational field by means of orthogonal thrust”, Avtomat. i Telemekh., 2019, no. 8, 87–108; Autom. Remote Control, 80:8 (2019), 1437–1454
E. A. Kozlov, Yu. N. Chelnokov, I. A. Pankratov, “Investigation of the problem of optimal correction of angular elements of the spacecraft orbit using quaternion differential equation of orbit orientation”, Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016), 336–344
Yu. N. Chelnokov, E. I. Nelaeva, “Solving kinematic problem of optimal nonlinear stabilization of arbitrary program movement of free rigid body”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 198–207
Yu. N. Chelnokov, S. E. Perelyaev, L. A. Chelnokova, “An investigation of algorithms for estimating the inertial orientation of a moving object”, Izv. Saratov Univ. Math. Mech. Inform., 16:1 (2016), 80–95
E. I. Lomovtseva, Yu. N. Chelnokov, “Dual matrix and biquaternion methods of solving direct and inverse kinematics problems of manipulators for example Stanford robot arm. II”, Izv. Saratov Univ. Math. Mech. Inform., 14:1 (2014), 88–95
E. I. Lomovtseva, Yu. N. Chelnokov, “Dual matrix and biquaternion methods of solving direct and inverse kinematics problems of manipulators, for example Stanford robot arm. I”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(1) (2013), 82–89
I. A. Pankratov, Ya. G. Sapunkov, Yu. N. Chelnokov, “Solution of a Problem of Spacecraft's Orbit Optimal Reorientation Using Quaternion Equations of Orbital System of Coordinates Orientation”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 84–92
M. Yu. Loginov, M. G. Tkachenko, Yu. N. Chelnokov, “Analytical Solution of Linear Differential Error Equations of Strapdown Inertial Navigation System, Functioning in the Normal Geographic Reference Frame, for the Case of an Object, Following the Geographical Equator”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013), 69–84
2012
10.
I. A. Pankratov, Ya. G. Sapunkov, Yu. N. Chelnokov, “About a problem of spacecraft's orbit optimal reorientation”, Izv. Saratov Univ. Math. Mech. Inform., 12:3 (2012), 87–95
I. A. Pankratov, Yu. N. Chelnokov, “Analytical solution of differential equations of circular spacecraft orbit orientation”, Izv. Saratov Univ. Math. Mech. Inform., 11:1 (2011), 84–89