Unitary representations of the Lorentz group on 4-vector manifolds.
Irreducible unitary representations of restricted Lorentz group on manifolds of time-, light- and spacelike 4-vectors, obtaining plane-wave solutions of Klein-Gordon equation
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Irreducible unitary representations of restricted Lorentz group on manifolds of time-, light- and spacelike 4-vectors, obtaining plane-wave solutions of Klein-Gordon equation
The invariant manifolds associated with the outer planets are extremely large objects in phase space. They are trajectories in the ecliptic which intersect one another. This enables a low energy single impulse transfer between the planets which requries several orbital periods.
A key challenge in low-thrust trajectory design is generating preliminary solutions that simultaneously specify the spacecraft position and velocity vectors, as well as the thrust history. To mitigate this difficulty, dynamical structures within a combined low-thrust circular restricted 3-body problem (CR3BP) are nvestigated as candidate solutions to seed initial low-thrust trajectory designs. The addition of low-thrust to the CR3BP modifies the locations and stability of the equilibria, offering novel geometries for mission applications. Transfers between these novel equilibria are constructed by leveraging the associated stable and unstable manifolds and insights from the low-thrust CR3BP.
A key challenge in low-thrust trajectory design is generating preliminary solutions that simultaneously specify the spacecraft position and velocity vectors, as well as the thrust history. To mitigate this difficulty, dynamical structures within a combined low-thrust circular restricted 3-body problem (CR3BP) are investigated as candidate solutions to seed initial low-thrust trajectory designs. The addition of low-thrust to the CR3BP modifies the locations and stability of the equilibria, offering novel geometries for mission applications. Transfers between these novel equilibria are constructed by leveraging the associated stable and unstable manifolds and insights from the low-thrust CR3BP.
Circular manifold with tangential orifices at the inner circumference provides for the vapor constituent of a vaporized cryogenic propellant to enter a rocket combustion chamber before the liquid constituent. The vapor is separated from the liquid by centrifugal action and precedes it into the chamber through carefully positioned orifices.
Liquid coolant chill tool provides uniform cooling to materials adjacent to weld areas on long or contoured butt welds. This tool incorporates a manifold that clamps to the weld joint by vacuum and circulates liquid in direct contact with adjacent material.
Cold air performance of scale model oxidizer pump drive turbine feedpipe-manifold-nozzle assembly for M-1 rocket engine
Poison control tube and manifold system for reactivity control of tungsten water moderated rocket reactor
Cold air performance test of scale model oxidizer pump drive turbine for M-1 engine - performance of first stage with inlet feedpipe manifold assembly
Optimization of stochastic control processes with respect to probability of entering target manifold in specific time interval
Chemical poison control tube and manifold used for reactivity control of rocket reactor
Suboptimal controls maximizing probability of entering target manifold
Heat transfer and fluid flow performance of hydrogen cooled panels and manifold systems
Algorithm for optimal controls maximizing probability of linear time dependent control processes entering target manifold under random disturbances
Absorption strengths of j-manifolds in R branch of Jupiter atmosphere methane band, discussing fine structure blending
Integral manifolds of third order autonomous differential equations with unstable equilibrium point, investigating forward and negative asymptotic problems
Sealed electric storage battery with gas manifold interconnecting each cell
Carbon monoxide oxidation rates for automobile exhaust manifold reactor conditions