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math.DS2017★ 9 cited
Rigorous estimates for the relegation algorithm
Marco Sansottera, Marta Ceccaroni
We revisit the relegation algorithm by Deprit et al. (Celest. Mech. Dyn. Astron. 79:157-182, 2001) in the light of the rigorous Nekhoroshev's like theory. This relatively recent al…
math.DS2015★ 14 cited
Qualitative and analytical results of the bifurcation thresholds to halo orbits
Sara Bucciarelli, Marta Ceccaroni, Alessandra Celletti +1
We study the dynamics in the neighborhood of the collinear Lagrangian points in the spatial, circular, restricted three--body problem. We consider the case in which one of the prim…