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Optimal Spacecraft Trajectories
2018Optimal spacecraft trajectories are given a modern comprehensive treatment of the theory and important results. In most cases “optimal” means minimum propellant. Less propellant required results in more payload delivered to the destination. Both necessary and sufficient conditions for an optimal solution are analysed. Numerous illustrative examples are
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Optimal Transition Trajectories?
2007The nature of analytical social science is such that the search for the right measure is one of its core elements. For this reason the two decades of transition from communist to market order has been revolving around the big question of whether it could have been done better.
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N-Burn Optimal Analytic Trajectories
AIAA Journal, 1972Derivation of N-burn analytic solutions for propellant-optimal transfer trajectories of a vehicle in a vacuum between arbitrary boundary conditions. Variational changes in the desired boundary conditions are expressed, in general, in terms of variational changes in the control vector and in the initial state vector.
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Spacecraft Trajectory Optimization
2010This is a long-overdue volume dedicated to space trajectory optimization. Interest in the subject has grown, as space missions of increasing levels of sophistication, complexity, and scientific return - hardly imaginable in the 1960s - have been designed and flown. Although the basic tools of optimization theory remain an accepted canon, there has been
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1981
In the ensuing discussion of optimal control we shall utilize the fundamental properties, established in Chapter 10, at points of an optimal trajectory Γ*(C) where the limiting surface Σ(C) possesses a tangent plane.
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In the ensuing discussion of optimal control we shall utilize the fundamental properties, established in Chapter 10, at points of an optimal trajectory Γ*(C) where the limiting surface Σ(C) possesses a tangent plane.
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Trajectory optimization using XGESOP; Ariane V GTO trajectory optimization
1995Aerospace ...
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STRONG OPTIMALITY OF SINGULAR TRAJECTORIES
2008The paper proves second order sufficient conditions for the strong optimality of singular extremals of the first kind. The conditions are given both in Hamiltonian formulation and by means of the coercivity of a suitable coordinate--free second variation.
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