Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 15 of 15 for “"two-body problem"”.
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Rocket Powered Flight as a Perturbation to the Two-Body Problem.
<p>The two body problem and the rocket equation <b>r̈</b> + ∊ α <b>ṙ</b> + <em>k</em>/<em>r</em><sup>3</sup><b>r</b> = <b>0</b> have been expressed in numerous ways. However, the combination of the rocket equation with the two-body problem has not been studied to any degree of depth due to the …
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EV Freight Charging Problem: a Two Body Problem of Vehicle and Station
… strategy and infrastructure. This multi-faceted problem of vehicles, charging stations, and power grids is the basis of this research. We approach this problem from three angles: EV, station, and their joint operations. Our first contribution is to minimize the cost of a long-distance trip with …
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Using perturbation theory to understand the two body problem in general relativity
… (EMRIs) forces the separation between the two components to shrink, leading to their merger. We treat the smaller object as a point-like particle on the stationary space-time of the larger black hole. The EMRI problem can be broken down into two related parts: (i) A determination of the …
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Spacecraft trajectory optimization using many embedded Lambert problems
… analysis to efficiently explore the space of a problem. The work of this dissertation extends an embedded boundary value problem (EBVP) technique for preliminary design in the two-body problem. The EBVP technique is designed for direct, unconstrained optimization using many, short-arc, embedded …
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Discrete Variable Representation Of The Angular Variables In Quantum Three-Body Scattering
… methods to study the quantum mechanical three-body scattering system using the Schrodinger equation. Traditionally, a partial-wave decomposition of the total wave function is carried out first, allowing the scattering system to be solved one partial wave at a time. This is convenient when the …
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Canonical integration methods for Hamiltonian dynamical systems
… original system. However, for a variety of test problems we demonstrate equally good results for integrations that merely have the right linearized stability property. We also perform numerical experiments to investigate the improvement that higher-order integrators have over lower-order …
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On the dynamics, stability and control of displaced lunar orbits
… in the Earth-Moon circular restricted three-body problem (CRTBP). In particular, periodic orbits near the libration points in the Earth-Moon system will be explored along with their applications. A hybrid concept for displaced lunar orbits has been developed to overcome the limitations of …
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Natural and perturbed dynamics about Trojan bodies
… (or point mass) around an inhomogeneous Trojan body in a system composed of three primaries lying on a plane at the vertexes of an equilateral triangle, with their mutual positions fixed over the course of the motion. This configuration will here be referred to as "Lagrangian" or "equilateral …
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Natural and artificial orbits around the Martian moon Phobos
… of NASA and ESA. Phobos is a tiny celestial body that orbits around Mars at low altitude. The unique combination of these two characteristics yields the sphere of influence of the moon to be very close to its surface. Therefore, orbital dynamics around Phobos are particularly complex, because …
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Kalman Filter Implementation to Determine Orbit and Attitude of a Satellite in a Molniya Orbit
… determination, the equations of motion of the two body problem were propagated using Cowell's formulation. Four types of perturbing forces were added to the propagated model in order to increase the accuracy of the orbit prediction. These four perturbing forces are Earth oblateness, atmospheric …
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Gyroscropes Orbiting Gargantuan Black Holes: Spinning Secondaries in Extreme Mass Ratio Inspirals
… hole systems are essential for studying the two-body problem in general relativity and are key sources of low-frequency gravitational waves. These sources will be detectable by the Laser Interferometer Space Antenna (LISA), which is a planned space-based gravitational-wave observatory. At …
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Orbital Maneuvers and Interplanetary Trajectory Design via Reinforcement Learning
… of precise dynamical models and often requires problem-specific reformulation and solver tuning. While optimal control methods offer high accuracy under deterministic conditions, their sensitivity to stochastic disturbances and computational limitations in highly nonlinear or uncertain …
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Interplanetary Transfer Trajectories Using the Invariant Manifolds of Halo Orbits
… space travel, the Newtonian dynamics of the two-body problem have been used to design orbital trajectories to traverse the solar system. That is, that a spacecraft orbits only one large celestial body at a time. These dynamics have produced impressive interplanetary trajectories utilizing …
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Analytic Modelling of Gravitational-Wave Source in General Relativity and Alternative Theories of Gravity
… or resummation methods such as the effective-one-body (EOB) formalism to describe the complete dynamics. In this thesis, we discuss the construction of analytical waveform models within the EOB formalism for a specific alternative theory of gravity the so-called massless scalar-tensor theory. More …
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Collective hydrodynamics of soft microparticles in quasi-two-dimensional confinement
… channel design. These could chosen so that many-body hydrodynamic interactions drive self-organization of the desired particle motions. Even a single particle could be designed to "self-steer" to a desired position in the channel cross-section through its hydrodynamic self-interaction. In this …