On the practical exploitation of perturbative effects in low Earth orbit for space debris mitigation

Schaus, Volker; Alessi, Elisa Maria; Schettino, Giulia; Rossi, Alessandro; Stoll, Enrico

doi:10.1016/j.asr.2019.01.020

Cited by 13 publications

(9 citation statements)

References 11 publications

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“…The design of disposal trajectories with a solar sail, so far performed analytically only for planar orbit [18] and numerically for inclined orbits [20], can be fully solved analytically with the method presented here. In the field of space debris, similarly to what was done in [35] for the case of the "resonant reentry corridors", it will be of interest to analyze the space debris catalog to see whether there exists a specific case trapped in one of the resonances found. Other applications can be considered for different planetary systems, such as the frozen solutions found in [24].…”

Section: Discussion and Future Directionsmentioning

confidence: 99%

Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations

Alessi

Colombo

Rossi

2019

Celest Mech Dyn Astr

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The aim of this work is to provide an analytical model to characterize the equilibrium points and the phase space associated with the singly-averaged dynamics caused by the planetary oblateness coupled with the solar radiation pressure perturbations. A two-dimensional differential system is derived by considering the classical theory, supported by the existence of an integral of motion comprising semi-major axis, eccentricity and inclination. Under the single resonance hypothesis, the analytical expressions for the equilibrium points in the eccentricity-resonant angle space are provided, together with the corresponding linear stability. The Hamiltonian formulation is also given. The model is applied considering, as example, the Earth as major oblate body, and a simple tool to visualize the structure of the phase space is presented. Finally, some considerations on the possible use and development of the proposed model are drawn.Keywords solar radiation pressure · planetary oblateness · singly-averaged dynamics · phase space · central and hyperbolic manifolds IntroductionThe main objective of this work is to derive an analytical model in the threedimensional case of the equilibrium points associated with the singly-averaged dynamics induced by the coupled effect of the solar radiation pressure (SRP) and the planetary oblateness. As far as we know, such derivation does not exist at the moment and it can represent a fundamental tool in different fields. In particular,

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Section: Discussion and Future Directionsmentioning

confidence: 99%

Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations

Alessi

Colombo

Rossi

2019

Celest Mech Dyn Astr

Self Cite

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“…The color reports if the deorbiting occurs at ψ = 0 (red) or ψ = π (green). It should be noticed that, as already detected numerically [3,18], the resonant terms j = 5, 6 are the least effective ones, requiring very high values of A/m. Moreover, the conditions depicted always correspond to a libration curve.…”

Section: Resultsmentioning

confidence: 59%

Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

Gkolias,

Alessi,

Colombo

2020

Preprint

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Recent works demonstrated that the dynamics caused by the planetary oblateness coupled with the solar radiation pressure can be described through a model based on singly-averaged equations of motion. The coupled perturbations affect the evolution of the eccentricity, inclination and orientation of the orbit with respect to the Sun-Earth line. Resonant interactions lead to non-trivial orbital evolution that can be exploited in mission design. Moreover, the dynamics in the vicinity of each resonance can be analytically described by a resonant model that provides the location of the central and hyperbolic invariant manifolds which drive the phase space evolution. The classical tools of the dynamical systems theory can be applied to perform a preliminary mission analysis for practical applications. On this basis, in this work we provide a detailed derivation of the resonant dynamics, also in nonsingular variables, and discuss its properties, by studying the main bifurcation phenomena associated to each resonance. Last, the analytical model will provide a simple analytical expression to obtain the area-to-mass ratio required for a satellite to deorbit from a given altitude in a feasible timescale.

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“…The colour reports if the deorbiting occurs at ψ = 0 (red) or ψ = π (green). It should be noticed that, as already detected numerically (Alessi et al 2018b;Schaus et al 2019;Rossi et al 2020), the resonant terms j = 5, 6 are the least effective ones, requiring very high values of A/m. Moreover, the conditions depicted always correspond to a libration curve.…”

Section: Resultsmentioning

confidence: 60%

“…The model neglects more complex issues, like shadows or short-term effects, but previous numerical works showed that the solutions shown persist when considering a full model that includes the mentioned issues. This aspect was faced in particular in Alessi et al (2018b) and Schaus et al (2019).…”

Section: Discussionmentioning

confidence: 99%

Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

Gkolias

Alessi

Colombo

2020

Celest Mech Dyn Astr

Self Cite

View full text Add to dashboard Cite

Recent works demonstrated that the dynamics caused by the planetary oblateness coupled with the solar radiation pressure can be described through a model based on singly averaged equations of motion. The coupled perturbations affect the evolution of the eccentricity, inclination and orientation of the orbit with respect to the Sun–Earth line. Resonant interactions lead to non-trivial orbital evolution that can be exploited in mission design. Moreover, the dynamics in the vicinity of each resonance can be analytically described by a resonant model that provides the location of the central and hyperbolic invariant manifolds which drive the phase space evolution. The classical tools of the dynamical systems theory can be applied to perform a preliminary mission analysis for practical applications. On this basis, in this work we provide a detailed derivation of the resonant dynamics, also in non-singular variables, and discuss its properties, by studying the main bifurcation phenomena associated with each resonance. Last, the analytical model will provide a simple analytical expression to obtain the area-to-mass ratio required for a satellite to deorbit from a given altitude in a feasible timescale.

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On the practical exploitation of perturbative effects in low Earth orbit for space debris mitigation

Cited by 13 publications

References 11 publications

Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations

Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations

Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

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