Halo orbits construction based on invariant manifold technique

Qian, Ying-Jing; Guo, Jianhua; Yu, Tian-Jun; Yang, Xiao-Dong; Wang, Dongmei

doi:10.1016/j.actaastro.2018.11.045

Cited by 7 publications

(2 citation statements)

References 23 publications

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“…The halo orbits of the CRTBP have been analytically computed from computer assisted implementations of Hamiltonian perturbation theory as well as from numerical methods (see for example [16,25,4,29] for the analytic methods and [8,15,12,31,30] for the numerical ones). In this paper we consider the analytic computations based on Hamiltonian perturbation theory, which allow not only to compute the halo orbits, but also the orbits in their neighbourhoods, including their stable and unstable manifolds and transit orbits.…”

Section: Introductionmentioning

confidence: 99%

On the analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem

Paez,

Guzzo

2022

Preprint

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The halo orbits of the spatial circular restricted three-body problem are largely considered in space-flight dynamics to design low-energy transfers between celestial bodies. A very efficient analytical method for the computation of halo orbits, and the related transfers, has been obtained from the high-order resonant Birkhoff normal forms defined at the Lagrangian points L1-L2. In this paper, by implementing a non-linear Floquet-Birkhoff resonant normal form, we provide the definition of orbits, as well as their manifold tubes, which exist in a large order approximation of the elliptic three-body problem and generalize the halo orbits of the circular problem. Since the libration amplitude of such halo orbits is large (comparable to the distance of L1-L2 to the secondary body), and the Birkhoff normal forms are obtained through series expansions at the Lagrangian points, we provide also an error analysis of the method with respect to the orbits of the genuine elliptic restricted three-body problem.

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Section: Introductionmentioning

confidence: 99%

On the analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem

Paez,

Guzzo

2022

Preprint

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“…Under this background, the on-orbit manufacturing technology has become an important technical approach to crack the development of large-scale space structures in the future. With the development of on-orbit manufacturing technology research [4][5][6], on-orbit manufacturing of space trusses has become the future development direction, such as on-orbit additive manufacturing technology [7,8], on-orbit welding [9,10], etc. In this paper, the method of on-orbit plastic forming is proposed to produce space truss rods [11].…”

Section: Introductionmentioning

confidence: 99%

Simulation and analysis of mechanical properties of cold-formed lock-seam of truss rods for on-orbit construction

Yang

Han²,

Liu³

et al. 2022

Eng. Res. Express

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In this paper, a new process of spiral cold forming of truss rods for on-orbit construction is proposed. The influence of the width of the lock-seam overlapping region, stirp thickness and lock-seam buckle structure types on the mechanical properties of the rods’ lock-seam was investigated by using a method combining of single tensile experiment and numerical simulation. The results show that for the flat buckle samples with the stirp thickness of 0.3mm, with the increase of the width of overlapping region of the lock-seam, the maximum occlusal force and maximum occlusal strength of the lock-seam are monotonically decreasing. Although the simulated maximum occlusal force is slightly higher than the actual maximum occlusal force, the simulation results show reasonable agreement with the experimental values. In the simulation, with the increase of the stirp thickness, the maximum occlusal force of the flat buckle has a linear increase, while the maximum occlusal strength increases slightly. Compared with the flat buckle type, when the lock-seam is designed as a pressed rib buckle type, the overall mechanical properties of the lock-seam are improved by 80%. It is more effective to improve the mechanical properties of the rods’ lock-seam by changing the buckle type.

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Forced resonance orbit analysis of binary asteroid system with consideration of solar radiation pressure

et al. 2022

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Halo orbits construction based on invariant manifold technique

Cited by 7 publications

References 23 publications

On the analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem

On the analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem

Simulation and analysis of mechanical properties of cold-formed lock-seam of truss rods for on-orbit construction

Forced resonance orbit analysis of binary asteroid system with consideration of solar radiation pressure

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