29 citations · 273 across the 27 of their papers we have counts for
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math.DS2020★ 12 cited
Brouwer's satellite solution redux
Martin Lara
Brouwer's solution to the artificial satellite problem is revisited to show that the complete Hamiltonian reduction is rather achieved in the plain Poincaré's style, through a sing…
math.DS2020★ 14 cited
Solution to the main problem of the artificial satellite by reverse normalization
Martin Lara
The non-linearities of the dynamics of Earth artificial satellites are encapsulated by two formal integrals that are customarily computed by perturbation methods. Standard procedur…
astro-ph.IM2020★ 8 cited
Non-singular recursion formulas for third-body perturbations in mean vectorial elements
M. Lara, A. J. Rosengren, E. Fantino
The description of the long-term dynamics of highly elliptic orbits under third-body perturbations may require an expansion of the disturbing function in series of the semi-major a…