Dynamics of a Phobos-anchored tether near the L1 libration point

Aslanov, Vladimir S.

doi:10.1007/s11071-022-07892-8

Cited by 5 publications

(4 citation statements)

References 30 publications

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“…Finally, studying the dynamics of variable length pendulum system can find its possible application in active debris removal missions [85][86][87]. One of the most promising models is a tethered tug-debris system.…”

Section: Theorem 11 (Morales-ramis (1999)) If a Hamiltonian System Is...mentioning

confidence: 99%

Dynamics and non-integrability of the double spring pendulum

Szumiński,

Maciejewski

2024

Journal of Sound and Vibration

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Section: Theorem 11 (Morales-ramis (1999)) If a Hamiltonian System Is...mentioning

confidence: 99%

Dynamics and non-integrability of the double spring pendulum

Szumiński,

Maciejewski

2024

Journal of Sound and Vibration

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“…Pearson [26,27] and Aslanov [28] prospected of some tether systems deployed towards the L1 point, and, even induced the idea to the Phobos [29]. Liu [30] tried to harvest energy from the mechanical damping of the tether anchored to the lunar surfaces, then the energy harvested may be used for payload emission along the tether.…”

Section: Introductionmentioning

confidence: 99%

Conceptual Design and Mechanical Analysis of a Lunar Anchored Cislunar Tether

Wang

Liu

2023

Cosmic Res

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A long tether anchored to the lunar surface and extended to position tens thousands of kilometers above the Earth is put forward. It could be used as an auxiliary cislunar traffic track to transfer cargos along it to the Moon without rocket landing and ascending, saving fuels. The configuration and statics of the tether is examined carefully within the Earth–Moon circular restricted three-body system. Firstly, the tensile stress in the tether is regarded as a main restriction factor, which is calculated for the case with a constant cross section. By then, the allowable endpoint position is proposed. So far, only materials available in laboratory, such as carbon nanotube, can sustain such a long and thin tether. Secondly, the constant tensile stress tether with variant cross section is taken into account. Then the key restriction factor is becoming the variation ratio of the tether’s cross section, which is determined by the material’s density and the tensile stress. In this condition, available materials expand to carbon fiber and some mass-produced composite materials. As a verdict, such a lunar anchored cislunar tether is more than science fiction in the sense of mechanics and material.

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“…For instance, Mashayekhi and Misra studied the effect of attaching a tether and ballast mass to an asteroid with subsequent cutting of the tether [11]. In recent decades, the use of space tethers near the collinear Lagrangian points has received considerable attention [12][13][14][15]. Ref.…”

Section: Introductionmentioning

confidence: 99%

“…Ref. [14] focused on the development of a new mission to explore Phobos using a tether system anchored below the L 1 Mars-Phobos libration point and deployed toward Mars at a length slightly greater than the distance from Phobos. Paper [15] showed the maintenance of an L 1 -type artificial equilibrium point in the Sun (Earth + Moon) circular restricted three-body problem by means of an electric solar wind sail.…”

Section: Introductionmentioning

confidence: 99%

A Tether System at the L1, L2 Collinear Libration Points of the Mars–Phobos System: Analytical Solutions

Aslanov

Neryadovskaya

2023

Aerospace

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This paper is dedicated to identifying stable equilibrium positions of the tether systems attached to the L1 or L2 libration points of the Mars–Phobos system. The orbiting spacecraft deploying the tether is at the L1 or L2 libration point and is held at one of these unstable points by the low thrust of its engines. In this paper, the analysis is performed assuming that the tether length is constant. The equation of motion for the system in the polar reference frame is obtained. The stable equilibrium positions are found and the dependence of the tether angular oscillation period on the tether length is determined. An analytical solution in the vicinity of the stable equilibrium positions for small angles of deflection of the tether from the local vertical is obtained in Jacobi elliptic functions. The comparison of the numerical and analytical solutions for small angles of deflection is performed. The results show that the dependencies of the oscillation period on the length of the tether are fundamentally different for L1 and L2 points. Analytical expressions for the tether tension are derived, and the influence of system parameters on this force is investigated for static and dynamic cases.

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Dynamics of a Phobos-anchored tether near the L1 libration point

Cited by 5 publications

References 30 publications

Dynamics and non-integrability of the double spring pendulum

Dynamics and non-integrability of the double spring pendulum

Conceptual Design and Mechanical Analysis of a Lunar Anchored Cislunar Tether

A Tether System at the L1, L2 Collinear Libration Points of the Mars–Phobos System: Analytical Solutions

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