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Study on the dynamics, relative equilibria, and stability for liquid-filled spacecraft with flexible appendage
From the Lagrangian side of geometric mechanics, the dynamics, relative equilibria, and stability analysis for a rigid spacecraft coupled with liquid...
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Equilibria, periodicity, and chaotic behavior in spherically constrained relative orbital motion
Safe relative orbital motion trajectories require that vehicles maintain a specified distance between them. The distance requirement may be...
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Symmetry and relative equilibria of a bicycle system moving on a surface of revolution
Finding out the relative equilibria and analyzing their stability is of great significance for revealing the intrinsic characteristics of mechanical...
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A Note on Cournot-Nash Equilibria and Optimal Transport Between Unequal Dimensions
This note is devoted to study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by minimisation of some...
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Learning equilibria in symmetric auction games using artificial neural networks
Auction theory is of central importance in the study of markets. Unfortunately, we do not know equilibrium bidding strategies for most auction games....
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Equilibria of War and Peace: Diverse Options of Cooperation
A repeated game without communication between players is in Nash equilibrium if no player has incentive to change strategy unilaterally....
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Lyapunov functions and regions of attraction for spherically constrained relative orbital motion
This paper considers the problem of a deputy spacecraft constrained to remain a fixed distance from another spacecraft. The relative dynamics of the...
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Phase equilibria of Fe3O4–Cr2O3–CaO system: experimental measurements and thermodynamic calculations
Understanding the phase equilibria of the Fe 3 O 4 –Cr 2 O 3 –CaO system is essential for the efficient recycling of stainless steel pickling sludge. The...
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High-order analytical solutions of bounded relative motions for Coulomb formation flying
Close-proximity Coulomb formation flying offers attractive prospects in multiple astronautical missions. A semi-analytical method of constructing the...
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Consensus Control of Rigid Body Spacecraft in Orbital Relative Motion using TSE(3) and Exponential Coordinates
In this paper, two consensus control algorithms are proposed for control of multi-agent rigid body spacecraft in orbital relative motion. In the...
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Solid-Phase Equilibria in the Cu-Sb-S System and Thermodynamic Properties of Copper-Antimony Sulfides
A comprehensive study of solid-phase equilibria in the system Cu-Sb-S and thermodynamic properties of copper antimony sulfides was conducted by the...
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Subgame Perfect Pareto Equilibria for Multicriteria Game with Chance Moves
For n-person multicriteria game with chance moves in extensive form, we prove the existence of pure strategy subgame perfect Pareto equilibrium...
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The Relative Periodic Orbit of Liquid Films Flowing down a Vertical Fiber
The dynamics of coating flows down a vertical fiber is investigated experimentally. An oscillatory flow has been observed in experiments, which...
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Complexity and chaos control in a Cournot duopoly model based on bounded rationality and relative profit maximization
The bifurcation analysis of a discrete two-dimensional map that models a Cournot duopoly model, based on bounded rationality and relative profit...
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Phase Equilibria Study of CaO-Al2O3-SiO2-Na2O Slags for Smelting Waste Printed Circuit Boards
Phase equilibria of CaO-Al 2 O 3 -SiO 2 -Na 2 O slags were studied by thermal equilibration and quenching. The primary phases of the quenched slags were...
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The Game Not Chosen
The different equilibria that game theory proposes concerns plans of action. However, players may choose not only plans of action for given...
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Trajectory Design Leveraging Low-Thrust, Multi-Body Equilibria and their Manifolds
A key challenge in low-thrust trajectory design is generating preliminary solutions that simultaneously specify the spacecraft position and velocity...
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Use of a path-following method for finding static equilibria of multibody systems modeled by the reduced transfer matrix method
Finding the stable static equilibrium position of multibody systems is a well-known problem. Dynamic relaxation methods are frequently utilized in...
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Dynamical integrity assessment of stable equilibria: a new rapid iterative procedure
A new algorithm for the estimation of the robustness of a dynamical system’s equilibrium is presented. Unlike standard approaches, the algorithm does...
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Stability and long-time behaviour of a rigid body containing a damper
This paper provides a comprehensive analysis of stability and long-time behaviour of a coupled system constituted by two rigid bodies separated by a...
