Dynamical evolution of space debris on high-elliptical orbits near high-order resonance zones

Kuznetsov, E. D.; Zakharova, P. E.

doi:10.1016/j.asr.2015.03.022

Cited by 5 publications

(3 citation statements)

References 9 publications

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“…In Figs. [16][17][18] in Appendix B, the orbital evolution of the eccentricity corresponding to all the satellites is provided.…”

Section: Comparison Between Observational and Numerical Datamentioning

confidence: 99%

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Dynamical properties of the Molniya satellite constellation: long-term evolution of orbital eccentricity

Alessi,

Buzzoni,

Daquin

et al. 2020

Preprint

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The aim of this work is to analyze the orbital evolution of the mean eccentricity given by the Two-Line Elements (TLE) set of the Molniya satellites constellation. The approach is bottom-up, aiming at a synergy between the observed dynamics and the mathematical modeling. Being the focus the longterm evolution of the eccentricity, the dynamical model adopted is a doublyaveraged formulation of the third-body perturbation due to Sun and Moon, coupled with the oblateness effect on the orientation of the satellite. The numerical evolution of the eccentricity, obtained by a two-degree-of-freedom model assuming different orders in the series expansion of the third-body effect, is compared against the mean evolution given by the TLE. The results show that, despite being highly elliptical orbits, the second order expansion catches extremely well the behavior. Also, the lunisolar effect turns out to be non-negligible for the behavior of the longitude of the ascending node and the argument of pericenter. The role of chaos in the timespan considered is also addressed. Finally, a frequency series analysis is proposed to show the

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“…In Figs. [16][17][18] in Appendix B, the orbital evolution of the eccentricity corresponding to all the satellites is provided.…”

Section: Comparison Between Observational and Numerical Datamentioning

confidence: 99%

“…The effect of the Earth's gravitational potential on the Molniya's period evolution was carefully considered in the general study presented in [28]. The role of solar radiation pressure and of the Poynting-Robertson effect on high area-to-mass satellites were considered in [30] and [17], respectively.…”

Section: Current Theoretical Frameworkmentioning

confidence: 99%

Dynamical properties of the Molniya satellite constellation: long-term evolution of orbital eccentricity

Alessi,

Buzzoni,

Daquin

et al. 2020

Preprint

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“…They find drift rates (in absolute magnitudes) ranging from about 29 mt/yr (9:11 resonance) to about 142 mt/yr (5:4 resonance) with a variation of 33 mt/yr to 75 mt/yr close to the geosynchronous orbit (see Table 2 in Kuznetsov et al (2014)). Secular rates of drift in semi-major axis of about 500 mt/yr have also numerically been estimated in Kuznetsov & Zakharova (2015) for high area-to-mass ratio objects in highly elliptical orbits, the so-called Molniya orbits, close to the 22:45 resonance.…”

Section: Introductionmentioning

confidence: 78%

Poynting–Robertson drag and solar wind in the space debris problem

Lhotka

Celletti

Galeş

2016

Mon. Not. R. Astron. Soc.

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We analyze the combined effect of Poynting-Robertson and solar wind drag on space debris. We derive a model within Cartesian, Gaussian and Hamiltonian frameworks. We focus on the geosynchronous resonance, although the results can be easily generalized to any resonance. By numerical and analytical techniques, we compute the drift in semi-major axis due to Poynting-Robertson and solar wind drag. After a linear stability analysis of the equilibria, we combine a careful investigation of the regular, resonant, chaotic behavior of the phase space with a long-term propagation of a sample of initial conditions. The results strongly depend on the value of the areato-mass ratio of the debris, which might show different dynamical behaviors: temporary capture or escape from the geosynchronous resonance, as well as temporary capture or escape from secondary resonances involving the rate of variation of the longitude of the Sun. Such analysis shows that Poynting-Robertson and solar wind drag must be taken into account, when looking at the long-term behavior of space debris. Trapping or escape from the resonance can be used to place the debris in convenient regions of the phase space.keywords Poynting-Robertson effect, Solar wind, Geostationary orbit, Space debris 1 consider several models as well as a different hierarchy of the forces which contribute to shape the dynamics. For example, it was widely shown (see, e.g., , Kuznetsov (2011 and references therein) that the effect of solar radiation pressure on GEO and MEO objects is more relevant for larger area-to-mass ratios. The dissipative contribution due to Poynting-Robertson and solar wind is definitely considered much less important. However, such dissipative effects might become relevant on micro-meter size particles as well on large area-to-mass ratio space debris (various objects with high area-to-mass ratios are described, e.g., in Früh & Schildknecht (2012)).The aim of the current study is to settle the question of the role of Poynting-Robertson and solar wind (hereafter PR/SW) drag on space debris dynamics. The relevance of this question stems from the consideration that the drag might provoke a drift of the debris towards space regions where operating satellites are placed. To avoid collisions with functional satellites and a consequent possible generation of further debris, it is crucial to have a full control of the dynamics of space debris, including the prediction over long time scales of minor, but still relevant, effects like PR/SW. Our study shows that not only Poynting-Robertson drag, but also solar wind drag, are prominent forces that need to be included in the model to get an accurate estimate of the drift of space debris in the near-Earth environment.The first studies on the Poynting-Robertson effect in the artificial satellite problem date back to Slabinski (1980Slabinski ( , 1983, where the author states that the semi-major axis of a near synchronous satellite with small area-to-mass ratio can decrease at a rate of about 1 mt/yr. The secular evolution of...

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Estimation of a reliability range for the area-to-mass ratio of orbiters at the geostationary ring

Lacruz¹,

Casanova

Abad

2020

Acta Astronautica

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Dynamical evolution of space debris on high-elliptical orbits near high-order resonance zones

Cited by 5 publications

References 9 publications

Dynamical properties of the Molniya satellite constellation: long-term evolution of orbital eccentricity

Dynamical properties of the Molniya satellite constellation: long-term evolution of orbital eccentricity

Poynting–Robertson drag and solar wind in the space debris problem

Estimation of a reliability range for the area-to-mass ratio of orbiters at the geostationary ring

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