Characterisation of 6DOF natural and controlled relative dynamics in cislunar space

Author(s):  
Francesco Colombi ◽  
Andrea Colagrossi ◽  
Michèle Lavagna
Keyword(s):  
1981 ◽  
Vol 59 (10) ◽  
pp. 1504-1509 ◽  
Author(s):  
U. Balucani ◽  
R. Vallauri

The relative dynamics of particle pairs in fluids is investigated both theoretically and by simulation experiments. The physical implications of this analysis are important in all interaction-induced phenomena and illustrated in the case of the pair time correlation function relevant to collision-induced light scattering in atomic fluids.


Author(s):  
Ke-Bo Li ◽  
Wen-Shan Su ◽  
Lei Chen

The interception of high-speed target with an arbitrary maneuvering acceleration causes serious troubles to the guidance and control system design of airborne missile. A novel guidance law based on the classical differential geometry curve theory was proposed not long ago. Although it is believed and numerically demonstrated that this differential geometric guidance law (DGGL) is superior to the classical pure proportional navigation (PPN) in intercepting high-speed targets, its performance has not been thoroughly analyzed. In this paper, using the Lyapunov-like approach, the performance of DGGL against the high-speed target with an arbitrary but upper-bounded maneuvering acceleration is well studied. The upper bounds of the LOS rate and commanded acceleration of DGGL are obtained, and conditions that guarantee the capture of this type of maneuvering target are also presented. The nonlinear relative dynamics between the missile and target is taken into full account. Finally, the proposed theoretical findings are demonstrated by numerical simulation examples.


2012 ◽  
Vol 433-440 ◽  
pp. 4989-4996
Author(s):  
Wei Wei Yang ◽  
Lu Cao ◽  
Yong Zhao ◽  
Xiao Qiang Chen

The active collision avoidance maneuver of fractionated satellite cluster is studied. Especially, two clusters with different structure configuration in ellipse orbit and the collision description method between them are discussed. Due to the limitation of the collision probability based on the minimum distance, a new method is developed which including the effect of relative velocity on collision. Only J2 perturbation is considered in the relative dynamics and a PD controller based on BP neural network using automatic differentiation method is adopted when a collision is imminent. The simulation results validate that the presented active collision avoidance control law is effective.


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