Flux-pinned interfaces maintain a passively stable equilibrium between two spacecraft in close-proximity. Although flux-pinning physics has been studied from a materials-science perspective and at the systems level, the sensitivities and implications of system-level designs on the dynamics need to be better understood, especially in interfaces with multiple magnets and superconductors. These interfaces have highly nonlinear, coupled dynamics that are influenced by physical parameters including strength of magnetic field sources, field-cooled position, and superconductor geometry. Kordyuk’s frozen image model successfully approximates the characteristics of flux pinning dynamics but could provide more precise state prediction with the addition of these physical parameter refinements. This paper addresses that gap by offering parametric terms to improve the dynamics model, which may better simulate the behavior of a multiple-magnet-multiple-superconductor interface. The sensitivity of the general flux-pinned dynamics model is studied by varying the physical parameters and simulating the systems level dynamics. This work represents a critical step in the development of a model suited to spacecraft performance verification.
A flux-pinned interface offers a passively stable equilibrium that otherwise cannot occur between magnets because electromagnetic fields are divergenceless. The contactless, compliant nature of flux pinning offers many benefits for close-proximity robotic maneuvers, such as rendezvous, docking, and actuation. This paper derives the six degree-of-freedom linear dynamics about an equilibrium for any magnet/superconductor configuration. Linearized dynamics are well suited to predicting close-proximity maneuvers, provide insights into the character of the dynamic system, and are essential for linear control synthesis. The equilibria and stability of a flux-pinned interface are found using Villani's equations for magnetic dipoles. Kordyuk's frozen-image model provides the nonlinear flux-pinning response to these magnetic forces and torques, all of which are then linearized. Comparing simulation results of the nonlinear and linear dynamics shows the extent of the linear model's applicability. Nevertheless, these simple models offer computational speed and physical intuition that a nonlinear model does not.
Flux-pinned interfaces maintain a passively stable equilibrium between two spacecraft in close-proximity. Although flux-pinning physics has been studied from a materials-science perspective and at the systems level, the sensitivities and implications of system-level designs on the dynamics need to be better understood, especially in interfaces with multiple magnets and superconductors. These interfaces have highly nonlinear, coupled dynamics that are influenced by physical parameters including strength of magnetic field sources, field-cooled position, and superconductor geometry. Kordyuk's frozen image model successfully approximates the characteristics of flux pinning dynamics but could provide more precise state prediction with the addition of these physical parameter refinements. This paper addresses that gap by offering parametric terms to improve the dynamics model, which may better simulate the behavior of a multiple-magnetmultiple-superconductor interface. The sensitivity of the general flux-pinned dynamics model is studied by varying the physical parameters and simulating the systems level dynamics. This work represents a critical step in the development of a model suited to spacecraft performance verification.
This work maps the magnetic field within a type-II superconductor of finite dimension that is magnetically flux-pinned. The measured field is lower in magnitude than anticipated from the frozen image model and changes shape dependent on the field-cooled image location. A proposed refined model more accurately reflects the measured field.
A flux-pinned interface offers a passively stable equilibrium that otherwise cannot occur between magnets because electromagnetic fields are divergenceless. The contactless, compliant nature of flux pinning offers many benefits for closeproximity robotic maneuvers, such as rendezvous, docking, and actuation. This paper derives the six degree-of-freedom linear dynamics about an equilibrium for any magnet/superconductor configuration. Linearized dynamics are well suited to predicting close-proximity maneuvers, provide insights into the character of the dynamic system, and are essential for linear control synthesis. The equilibria and stability of a flux-pinned interface are found using Villani's equations for magnetic dipoles. Kordyuk's frozenimage model provides the nonlinear flux-pinning response to these magnetic forces and torques, all of which are then linearized. Comparing simulation results of the nonlinear and linear dynamics shows the extent of the linear model's applicability. Nevertheless, these simple models offer computational speed and physical intuition that a nonlinear model does not.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.