As we saw in Chapter 7, a central force field that is also conservative must be spherically symmetric, and some of the most important fields in nature (notably electrical and gravitational) are precisely of this type. The frequent occurrence of spherically symmetric models to describe physical ...
The structure of the forces and moments which arise when a rigid body moves in an unbounded volume of an ideal incompressible fluid under the action of central Newtonian attractive forces is discussed, the equations of motion are written in explicit form, their first integrals are indicated and ...
The Newton's second law of motion states that the change in the momentum of a body is equal to the resultant of all forces, mass force F and surface force σ, acting on that body. From: Nonequilibrium Thermodynamics, 2002 About this pageSet alert Also in subject area: MathematicsDiscover...
There is no external energy flux within the gyroscopic system under gravity and it will be referred to as a passive gyroscopic system. For such a system, the energy is conserved. The motion of gyroscopic spinners is usually characterised by the angular coordinates \(\theta \), \(\phi \) ...
. In such experimental paradigms, flying bees tend to prefer the larger of the two gaps, but this choice also depends on individuality9 and the aerodynamical forces constraining the generation of movements11. Like bees, our agent selected the larger of the two gaps (Section “Agent’s ...
Animals moving under the influence of spatio-temporal scaling and long-term memory generate a kind of space-use pattern that has proved difficult to model within a coherent theoretical framework. An extended kind of statistical mechanics is needed, accounting for both the effects of spatial memory ...
Optimal real-time collision-free motion planning for autonomous underwater vehicles in a 3D underwater space One approach to designing an optimal real-time collision-free trajectory for autonomous underwater vehicles (AUVs) that move in a 3D unknown underwater spa... H Yuan,Z Qu - 《Iet Contr...
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Article CAS PubMed PubMed Central Google Scholar Download references Acknowledgements This project has received funding from Villum Fonden V-SUSTAIN (grant No 9455) (A.C., V.J.B., V.S., Z.W., H.L., J.K., I.C., J.K.N) and the European Research Council (ERC) under the Europe...
Computations were carried out on the NSF-supported Stampede-2 and Frontera supercomputers at the Texas Advanced Computer Center under allocations TG-EAR160027, TG-DPP130002 and FTA-SUB-CalTech. The funders had no role in study design, data collection and analysis, decision to publish or ...