Low-Energy Earth-to-Halo Transfers in the Earth–Moon Scenario with Sun-Perturbation

Zanzottera, Anna; Mingotti, Giorgio; Castelli, Roberto; Dellnitz, Michael

doi:10.1007/978-1-4614-0231-2_3

Cited by 2 publications

(1 citation statement)

References 9 publications

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“…It should be noted that spherical pendulum related research has also been further developed for Foucault pendulums in the works of Condurache and Martinusi [77], Gusev and Vinogradov [26], de Icaza-Herrera and Castoño [83], Pardy [88], Zanzottera et al [99], Zhuravlev and Petrov [100], and others.…”

Section: Introductionmentioning

confidence: 99%

3 DOF Spherical Pendulum Oscillations with a Uniform Slewing Pivot Center and a Small Angle Assumption

Perig

Stadnik

Deriglazov

et al. 2014

Shock and Vibration

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The present paper addresses the derivation of a 3 DOF mathematical model of a spherical pendulum attached to a crane boom tip for uniform slewing motion of the crane. The governing nonlinear DAE-based system for crane boom uniform slewing has been proposed, numerically solved, and experimentally verified. The proposed nonlinear and linearized models have been derived with an introduction of Cartesian coordinates. The linearized model with small angle assumption has an analytical solution. The relative and absolute payload trajectories have been derived. The amplitudes of load oscillations, which depend on computed initial conditions, have been estimated. The dependence of natural frequencies on the transport inertia forces and gravity forces has been computed. The conservative system, which contains first time derivatives of coordinates without oscillation damping, has been derived. The dynamic analogy between crane boom-driven payload swaying motion and Foucault’s pendulum motion has been grounded and outlined. For a small swaying angle, good agreement between theoretical and averaged experimental results was obtained.

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Section: Introductionmentioning

confidence: 99%

3 DOF Spherical Pendulum Oscillations with a Uniform Slewing Pivot Center and a Small Angle Assumption

Perig

Stadnik

Deriglazov

et al. 2014

Shock and Vibration

View full text Add to dashboard Cite

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Long-term capture orbits for low-energy space missions

Carletta

Pontani

Teofilatto

2018

Celest Mech Dyn Astr

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In the framework of the space debris problem, in order to mitigate the already critical situation in the Low Earth Orbit (LEO) region, and, more generally, to preserve the circumterrestrial environment, the scientific community is now aware of the need of designing feasible and effective solutions for the satellites' end-of-life. To this end, it is mandatory to obtain a deep understanding of the dynamics at stake. Within the H2020 ReDSHIFT project, we mapped the whole LEO region in terms of initial semi-major axis, eccentricity and inclination, for 16 combinations of longitude of ascending node and argument of pericenter, and 2 initial epochs. The dynamical model considered includes the geopotential of order and degree 5, lunisolar perturbations, solar radiation pressure (SRP) effects and atmospheric drag. The numerical simulations and specific analytical developments revealed the role of resonant inclinations associated with the just mentioned main perturbations. In particular, the resonances corresponding to the gravitational attraction of Moon and Sun and the SRP induce preferential paths which can be exploited to decrease the lifetime of the satellite, either in combination with the effect of the drag, or, if possible, using a SRP enhanced device. Besides the extension of the numerical results, the novelty of our findings consists in the theoretical understanding of the important role of lunisolar and SRP perturbations also in LEO. Concerning the SRP, resonances which were so far considered as secondary can play instead a fundamental role, and for values of area-to-mass ratio which can be achieved with the present technology.

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Low-Energy Earth-to-Halo Transfers in the Earth–Moon Scenario with Sun-Perturbation

Cited by 2 publications

References 9 publications

3 DOF Spherical Pendulum Oscillations with a Uniform Slewing Pivot Center and a Small Angle Assumption

3 DOF Spherical Pendulum Oscillations with a Uniform Slewing Pivot Center and a Small Angle Assumption

Long-term capture orbits for low-energy space missions

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