Chaos analysis in attitude dynamics of a flexible satellite

Chegini, Mohammadreza; Sadati, Hossein; Salarieh, Hassan

doi:10.1007/s11071-018-4269-z

Cited by 15 publications

(9 citation statements)

References 33 publications

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“…Then the Melnikov integral can be defined in the form where F is a Hamiltonian vector field, G is a small perturbation, qO(t) is the solution of the heteroclinic orbits in the unperturbed system, and the symbol ^ is the wedge operator defined by a^b=a1b2-a2b1. 3–6 Equations (31) to (34) in the form of equation (49) are substituted into equation (50). With the variable changes in the heteroclinic solutions given as equations (41) to (48), the Melnikov function is obtained by solving integral (50) using the integral tables, integration by parts, Cauchy's integral, and the residue theory.…”

Section: Melnikov Methodsmentioning

confidence: 99%

“…Since the orbital motion appears in the perturbed terms only, the rotational equations and their solutions are used in the Melnikov criterion. The rotational dynamics based on the Euler equations are as follows [3][4][5][6] h…”

Section: Melnikov Methodsmentioning

confidence: 99%

“…Moreover, the Lyapunov exponent criterion and the Poincaré map analysis are used for the study of chaos in a satellite system numerically. 4–6…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, the Lyapunov exponent criterion and the Poincare´map analysis are used for the study of chaos in a satellite system numerically. [4][5][6] The gyrostat satellite (GS) is used in highly technical missions due to be the stabilizers on its dynamics structure. Therefore, as an important factor, chaos is responsible for the irregular GS dynamics, leading to confusion in the exact mission of the GS.…”

Section: Introductionmentioning

confidence: 99%

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Melnikov-based analysis for chaotic dynamics of spin-orbit motion of a gyrostat satellite

Abtahi

2019

Proceedings of the IMechE

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Interactions of the orbital motion on attitude dynamics of the gyrostat satellite are considered in this paper. The mathematical model is derived using the Hamiltonian method for the spin-orbit motion of the spacecraft followed by the reduction of the coupled equations of motion using the extended Deprit canonical transformation. The analytical Melnikov method is used innovatively to study chaos on the complex Spin-Orbit dynamics of the gyrostat satellite. Also, the numerical methods such as Lyapunov exponent criterion, Poincaré section, trajectories of phase portrait, and the time–history responses can be proved the heteroclinic bifurcation and chaotic vibrations in the highly nonlinear system. Using the results based on the Melnikov integral, the parameters of the spacecraft including the mass and inertia moment of satellite with respect to the altitude of orbit can be designed in order to control the bifurcation with a view to prevention of chaos in the system in the absence of an active control system.

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Section: Melnikov Methodsmentioning

confidence: 99%

Section: Melnikov Methodsmentioning

confidence: 99%

“…Moreover, the Lyapunov exponent criterion and the Poincaré map analysis are used for the study of chaos in a satellite system numerically. 4–6…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Melnikov-based analysis for chaotic dynamics of spin-orbit motion of a gyrostat satellite

Abtahi

2019

Proceedings of the IMechE

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“…Chegini et al [13,14] explored mathematically turmoil in demeanor elements of an adaptable satellite made out of an inflexible body and two indistinguishable unbending boards connected to the fundamental body with springs using analytical and numerical methods. Clemson and Stefanovska [15] discussed the analysis of nonautonomous dynamics for extracting properties of interactions and the direction of couplings for chaotic, stochastic, and nonautonomous behaviour.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Oscillation of Satellite due to Aerodynamic Torque

Bhardwaj

Sajid

2021

Advances in Astronomy

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This study presents the chaotic oscillation of the satellite around the Earth due to aerodynamic torque. The orbital plane of the satellite concurs is same as the tropical plane of Earth. The half-width of riotous separatrix is assessed utilizing Chirikov’s measure. Variety of boundary techniques shows that streamlined force boundary (ɛ), unpredictability of circle (e), and mass-proportion (ω0) convert normal wavering to the disorganized one. We studied the behavior of trajectories due to change in parameters with Lyapunov exponents and time series plots. The theory is applied to Resourcesat-1, an artificial satellite of the Earth.

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