As we know, Coulomb’s law describes the interaction between static charges. In this paper, the modified formula of Coulomb’s law in the state of charge motion is given. Based on this formula, Ampere’s law and Lore...As we know, Coulomb’s law describes the interaction between static charges. In this paper, the modified formula of Coulomb’s law in the state of charge motion is given. Based on this formula, Ampere’s law and Lorentz’s law of force are derived by pure mathematics. According to the similarity between the formula of universal gravitation and Coulomb’s law, the correction of the formula of universal gravitation under the state of motion is assumed boldly, and some inferences are made on the motion law of celestial bodies.展开更多
The gravitationally coupled orbit-attitude dynamics,also called the full dynamics,in which the spacecraft is modeled as a rigid body,is a high-precision model for the motion in the close proximity of an asteroid.A fee...The gravitationally coupled orbit-attitude dynamics,also called the full dynamics,in which the spacecraft is modeled as a rigid body,is a high-precision model for the motion in the close proximity of an asteroid.A feedback control law is proposed to stabilize relative equilibria of the coupled orbit-attitude motion in a uniformly rotating second degree and order gravity eld by utilizing the Hamiltonian structure.The feedback control law is consisted of potential shaping and energy dissipation.The potential shaping makes the relative equilibrium a minimum of the modi ed Hamiltonian by modifying the potential arti cially.With the energy-Casimir method,it is theoretically proved that an unstable relative equilibrium can always be stabilized in the Lyapunov sense by the potential shaping with sufficiently large feedback gains.Then,the energy dissipation leads the motion to converge to the relative equilibrium.The proposed stabilization control law has a simple form and is easy to implement autonomously,which can be attributed to the utilization of natural dynamical behaviors in the controller design.展开更多
文摘As we know, Coulomb’s law describes the interaction between static charges. In this paper, the modified formula of Coulomb’s law in the state of charge motion is given. Based on this formula, Ampere’s law and Lorentz’s law of force are derived by pure mathematics. According to the similarity between the formula of universal gravitation and Coulomb’s law, the correction of the formula of universal gravitation under the state of motion is assumed boldly, and some inferences are made on the motion law of celestial bodies.
基金the National Natural Science Foundation of China under Grant Nos.11432001 and 11602009the Fundamental Research Funds for the Central Universities.
文摘The gravitationally coupled orbit-attitude dynamics,also called the full dynamics,in which the spacecraft is modeled as a rigid body,is a high-precision model for the motion in the close proximity of an asteroid.A feedback control law is proposed to stabilize relative equilibria of the coupled orbit-attitude motion in a uniformly rotating second degree and order gravity eld by utilizing the Hamiltonian structure.The feedback control law is consisted of potential shaping and energy dissipation.The potential shaping makes the relative equilibrium a minimum of the modi ed Hamiltonian by modifying the potential arti cially.With the energy-Casimir method,it is theoretically proved that an unstable relative equilibrium can always be stabilized in the Lyapunov sense by the potential shaping with sufficiently large feedback gains.Then,the energy dissipation leads the motion to converge to the relative equilibrium.The proposed stabilization control law has a simple form and is easy to implement autonomously,which can be attributed to the utilization of natural dynamical behaviors in the controller design.
