Investigation on a Doubly-Averaged Model for the Molniya Satellites Orbits. (arXiv:2010.15746v1 [astro-ph.EP])
<a href="http://arxiv.org/find/astro-ph/1/au:+Talu_T/0/1/0/all/0/1">Tiziana Talu</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Alessi_E/0/1/0/all/0/1">Elisa Maria Alessi</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Tommei_G/0/1/0/all/0/1">Giacomo Tommei</a>
The aim of this work is to investigate the lunisolar perturbations affecting
the long-term dynamics of a Molniya satellite. Some numerical experiments on
the doubly-averaged model, including the expansion of the lunisolar disturbing
functions up to the third order, are carried out in order to detect the terms
dominating the long-term evolution. The analysis focuses on the following
significant indicators: the amplitude of the harmonic coefficients, the periods
of the arguments involved and, in particular, the ratio between the amplitudes
and the corresponding frequency. The results show that the second-order
lunisolar perturbation gives the dominant contribution to the long-term
dynamics. The second part of this work aims to study the resonant regions
associated to the dominant terms identified so far by using both the ideal
resonance model and an alternative approach. The results obtained show when the
standard method does not catch the main features of the dynamical structure of
the resonant regions. Finally, the maximum overlapping region is identified in
the proximity of the Molniya orbital environment.
The aim of this work is to investigate the lunisolar perturbations affecting
the long-term dynamics of a Molniya satellite. Some numerical experiments on
the doubly-averaged model, including the expansion of the lunisolar disturbing
functions up to the third order, are carried out in order to detect the terms
dominating the long-term evolution. The analysis focuses on the following
significant indicators: the amplitude of the harmonic coefficients, the periods
of the arguments involved and, in particular, the ratio between the amplitudes
and the corresponding frequency. The results show that the second-order
lunisolar perturbation gives the dominant contribution to the long-term
dynamics. The second part of this work aims to study the resonant regions
associated to the dominant terms identified so far by using both the ideal
resonance model and an alternative approach. The results obtained show when the
standard method does not catch the main features of the dynamical structure of
the resonant regions. Finally, the maximum overlapping region is identified in
the proximity of the Molniya orbital environment.
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