Drift and Its Mediation in Terrestrial Orbits

Daquin, Jérôme; Gkolias, Ioannis; Rosengren, Aaron J.

doi:10.3389/fams.2018.00035

“…However, in disposal design applications, we are not interested in the chaotic evolution with respect to any of the action variables, but rather in the chaotic behaviour manifesting as eccentricity growth. The fact that the use of chaotic indicators in disposal design can be missleading was also mentioned in a recent work [18]. Therefore, we focus our studies on the eccentricity variations and more specifically, two types of indicators are used.…”

Section: Dynamical Mappingmentioning

confidence: 96%

Towards a sustainable exploitation of the geosynchronous orbital region

Gkolias

¹

,

Colombo

²

2019

Celest Mech Dyn Astr

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In this work the orbital dynamics of Earth satellites about the geosynchronous altitude are explored, with primary goal to assess current mitigation guidelines as well as to discuss the future exploitation of the region. A thorough dynamical mapping was conducted in a high-definition grid of orbital elements, enabled by a fast and accurate semi-analytical propagator, which considers all the relevant perturbations. The results are presented in appropriately selected stability maps to highlight the underlying mechanisms and their interplay, that can lead to stable graveyard orbits or fast re-entry pathways. The natural separation of the long-term evolution between equatorial and inclined satellites is discussed in terms of post-mission disposal strategies. Moreover, we confirm the existence of an effective cleansing mechanism for inclined geosynchronous satellites and discuss its implications in terms of current guidelines as well as alternative mission designs that could lead to a sustainable use of the geosynchronous orbital region.

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“…We adopt a simplified sub-model of the quadrupolar doubly-averaged formulation to model the external third-bodies perturbations. The quadrupolar approximation is commonly employed to study medium-Earth orbit dynamics and has already demonstrated its relevance (see e.g., [17,11]).…”

Section: The Doubly-averaged Lunisolar Hamiltonianmentioning

confidence: 99%

Dynamical properties of the Molniya satellite constellation: long-term evolution of the semi-major axis

Daquin¹,

Alessi

²

,

O’Leary³

et al. 2021

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We describe the phase space structures related to the semi-major axis of Molniya-like satellites subject to tesseral and lunisolar resonances. In particular, we dissect the indirect interplay of the critical inclination resonance on the semi-geosynchronous resonance using a hierarchy of more realistic dynamical systems, thus discussing the dynamics beyond the integrable approximation. By introducing ad hoc tractable models averaged over the fast angles, we numerically demarcate the hyperbolic structures organising the long-term dynamics via the computation of finite-time variational indicators. Based on the publicly available two-line elements space orbital data, we identify two satellites, namely M1-69 and M1-87, displaying fingerprints consistent with the dynamics associated to the hyperbolic set. The computations of the associated dynamical maps highlight that the spacecraft are trapped within the hyperbolic tangle.

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“…We adopt a simplified sub-model of the quadrupolar doubly-averaged formulation to model the external third-bodies perturbations. The quadrupolar approximation is commonly employed to study medium-Earth orbit dynamics and has already demonstrated its relevance (see e.g., [17,11]). Starting from the Hamiltonians…”

Section: The Doubly-averaged Lunisolar Hamiltonianmentioning

confidence: 99%

Dynamical Properties of the Molniya Satellite Constellation: Long-Term Evolution of the Semi-Major Axis

Daquin¹,

Alessi

²

,

O’Leary³

et al. 2021

Preprint

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We describe the phase space structures related to the semi-major axis of Molniya-like satellites subject to tesseral and lunisolar resonances. In particular, we dissect the indirect interplay of the critical inclination resonance on the semi-geosynchronous resonance using a hierarchy of more realistic dynamical systems, thus discussing the dynamics beyond the integrable approximation. By introducing ad hoc tractable models averaged over the fast angles, we numerically demarcate the hyperbolic structures organising the long-term dynamics via the computation of finite-time variational indicators. Based on the publicly available two-line elements space orbital data, we identify two satellites, namely M1-69 and M1-87, displaying fingerprints consistent with the dynamics associated to the hyperbolic set. The computations of the associated dynamical maps highlight that the spacecraft are trapped within the hyperbolic tangle.

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Drift and Its Mediation in Terrestrial Orbits

Cited by 11 publications

References 47 publications

Towards a sustainable exploitation of the geosynchronous orbital region

Towards a sustainable exploitation of the geosynchronous orbital region

Dynamical properties of the Molniya satellite constellation: long-term evolution of the semi-major axis

Dynamical Properties of the Molniya Satellite Constellation: Long-Term Evolution of the Semi-Major Axis

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