Quaternion methods and regular models of celestial mechanics and space flight mechanics: the use of Euler (Rodrigues-Hamilton) parameters to describe orbital (trajectory) motion. I: Review and analysis of methods and models and their applications

DOI10.3103/S0025654422050041MaRDI QIDQ2695821

Yu. N. Chelnokov

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

zbMATH Keywords

regularizationtwo-body problemspacecraftbiquaternionorientation quaternionequations of celestial mechanics and astrodynamics (space flight mechanics)Euler (Rodrigues-Hamilton) parametersoptimal control of orbital motionorbit orientationspatial motion of rigid body

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items

Quaternion methods and regular models of celestial and space flight mechanic: using Euler (Rodrigues-Hamilton) parameters to describe orbital (trajectory) motion. II: Perturbed spatial restricted three-body problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dual-quaternion-based adaptive motion tracking of spacecraft with reduced control effort
• The problem of rendezvous of a controlled space vehicle with an uncontrolled space vehicle moving along an elliptical keplerian orbit in the central Newtonian gravitational field
• The problem of optimal control of the orientation of an orbit of a spacecraft as a deformable figure
• A special perturbation method in orbital dynamics
• Optimal reorientation of a Spacecraft's orbit using a jet thrust orthogonal to the orbital plane
• On integration of kinematic equations of a rigid body's screw-motion
• Model predictive control: Theory and practice - a survey
• Unit dual quaternion-based feedback linearization tracking problem for attitude and position dynamics
• Uniform formulation for orbit computation: the intermediate elements
• Non-averaged regularized formulations as an alternative to semi-analytical orbit propagation methods
• Analysis of optimal motion control for a material point in a central field with application of quaternions
• Quaternion methods and models of regular celestial mechanics and astrodynamics
• Optimal rotation of the orbit plane of a variable mass spacecraft in the central gravitational field by means of orthogonal thrust
• Regular quaternion models of perturbed orbital motion of a rigid body in the Earth's gravitational field
• Synthesis of control of spatial motion of a rigid body using dual quaternions
• Solving Kinematic Problem of Optimal Nonlinear Stabilization of Arbitrary Program Movement of Free Rigid Body
• Ideal elements for perturbed Keplerian motions
• Ideal frames for perturbed Keplerian motions
• Perturbation theory of Kepler motion based on spinor regularization.