Phase space description of the dynamics due to the coupled effect of the planetary oblateness and the solar radiation pressure perturbations. (arXiv:1903.09640v1 [astro-ph.EP])
<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:+Colombo_C/0/1/0/all/0/1">Camilla Colombo</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Rossi_A/0/1/0/all/0/1">Alessandro Rossi</a>
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.
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.
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