Conditions of optimal trajectory for constellation of nanosatellites injected by aerospace system.
Journal Title: Технічна механіка, Техническая механика, Technical Mechanics - Year 2017, Vol 1, Issue 1
Abstract
The paper deals with the determination of the conditions for constructing an optimal launch trajectory for the nanosatellite constellation injected by the aerospace system. These conditions satisfy both the main and alternative requirements for optimal trajectories, as well as use efficiently the power resources of an integrated dynamic system. The methods of mathematical modeling, variation calculations, optimal control, and numerical integration are applied. The paper proposes the method for building the optimal trajectories of an integrated dynamic system. It in-cludes the enhancing concept applied to not only the optimization criterion and the phase state vector of a launch vehicle, but to limitations imposed on the trajectories of the separated head rockets as well. This method satisfies both the basic and alternate requirements for optimal trajectories. It is concluded that the proposed method allows replacing the initial problem of the complex-limitations op-timization with other simpler problem wherein cross couplings are excluded. In this case, the solution of this problem satisfies given requirements and coincides with the solution of the initial problem.
Authors and Affiliations
Ye. Tachinina
Conditions of optimal trajectory of vehicle motion when locating sensors in zone of emergency
The paper deals with a mathematical statement and solution of the problem for searching a condition of an optimal trajectory of the vehicle when the wireless network sensors are located in the zone of emergency. The cond...
Simulation of mechanical processes in systems and units of aerospace engineering products
The literature on the simulation of mechanical processes in systems and units of aerospace engineering products is reviewed. The increasing structural complexity of the simulated objects, the interdisciplinary nature of...
Wear-resistant wheel profile for a freight car with an increased axle load
At present, new 18-9817 (ICG Motion Control) trucks designed for 1520 mm railway freight cars with an axle load increased to 25 tf are adopted for freight car fleet renewal in Ukraine. The aim of this paper is to develop...
On a methodological approach to the problem of quantitative risk as-sessment for space hardware development projects (Part I)
The aim of this work is to construct a theoretical basis for the development of methods, algorithms, and software for quantitative assessment of new space hardware development project risks that are due to uncertainty fa...
Applications of artificial neuron networks for solution of an inverse problem of gas dynamics of compressor cas-cades
This paper presents a solution of an inverse problem of the gas dynamics of compressor cascades using arti-ficial neural networks (ANN) by summarizing the experimental data resulting from plane cascades purging. The tech...