29 citations · 273 across the 27 of their papers we have counts for
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math.DS2018★ 10 cited
Nonlinear librations of distant retrograde orbits: a perturbative approach -- The Hill problem case
Martin Lara
The non-integrability of the Hill problem makes that its global dynamics must be necessarily approached numerically. However, the analytical approach is feasible in the computation…
math.DS2018★ 19 cited
Higher Order Approximation to the Hill Problem Dynamics about the Libration Points
Martin Lara, Iván L. Pérez, Rosario López
An analytical solution to the Hill problem Hamiltonian expanded about the libration points has been obtained by means of perturbation techniques. In order to compute the higher ord…
math.DS2018
Short-axis-mode rotation in complex variables
Martin Lara
Decomposition of the free rigid body Hamiltonian into a "main problem" and a perturbation term provides an efficient integration scheme that avoids the use of elliptic functions an…