Dynamical properties of the Molniya satellite constellation: long-term evolution of the semi-major axis. (arXiv:2103.06251v1 [nlin.CD])
<a href="http://arxiv.org/find/nlin/1/au:+Daquin_J/0/1/0/all/0/1">Jerome Daquin</a>, <a href="http://arxiv.org/find/nlin/1/au:+Alessi_E/0/1/0/all/0/1">Elisa Maria Alessi</a>, <a href="http://arxiv.org/find/nlin/1/au:+OLeary_J/0/1/0/all/0/1">Joseph O'Leary</a>, <a href="http://arxiv.org/find/nlin/1/au:+Lemaitre_A/0/1/0/all/0/1">Anne Lemaitre</a>, <a href="http://arxiv.org/find/nlin/1/au:+Buzzoni_A/0/1/0/all/0/1">Alberto Buzzoni</a>
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 textit{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.
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 textit{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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