Problems of stability with respect to a part of variables

Korolev, Vladimir; Pototskaya, Irina Yu.

doi:10.1109/polyakhov.2015.7106739

Cited by 7 publications

(3 citation statements)

References 4 publications

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“…Equations Hill-Clohessy-Wiltshire [11][12][13][14][15] which managed orbital motion of the moving coordinate system in the spatial case are…”

Section: Equations Of Motion 21 Different Types Of Equationsmentioning

confidence: 99%

“…The properties of solutions of dynamic systems are determined by the selected feedback control function. The orbital stability of trajectories or the stability with respect to a part of variables [11][12][13] is also considered.…”

Section: Control Of Motionmentioning

confidence: 99%

“…If the dynamic equations are written in the canonical form, and there are n first integrals, then the Arnold's theorem [12][13][14], all phase trajectories lie on the n-dimensional torus, and the motion are conditionally periodic system. This set is called the equilibrium or stationary state of motion of the system.…”

Section: The Stability Of the Orbital Motionmentioning

confidence: 99%

See 2 more Smart Citations

Problems of Control Motion of Solar Sail Spacecraft in the Photogravitational Fields

Korolev¹,

Polyakhova²,

Pototskaya³

2020

Nonlinear Systems -Theoretical Aspects and Recent Applications

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The problems of spacecrafts with a solar sail-controlled motion lead to the study of mathematical models for translational orbital motion and for the spaceship rotation about the mass center in photogravitational fields. There are opportunities to choose the optimal maneuvering conditions to realize orbital motion or to move to a given orbit point. The realization of the given optimal sail orientation about the sunlight flow allows to obtain motions in the vicinity of a possible relative equilibrium or stationary state. This realization also takes into account the stability change according to the process models with perturbations. For the motion control, we can change the properties, dimensions, or location of sail system elements. The spacecraft flights using light pressure are already a reality. Such space sailing ships may soon be used to fly to the big and small planets, for asteroids and comets meeting, to form special motion conditions in the vicinity of the Sun or the Earth. New technologies will bring visible benefits for solving complex problems, based on the direct use of practically unlimited source of solar energy.

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“…Equations Hill-Clohessy-Wiltshire [11][12][13][14][15] which managed orbital motion of the moving coordinate system in the spatial case are…”

Section: Equations Of Motion 21 Different Types Of Equationsmentioning

confidence: 99%

Section: Control Of Motionmentioning

confidence: 99%