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Chapter and Conference Paper
Rectifying Homographies for Stereo Vision: Analytical Solution for Minimal Distortion
Stereo rectification is the determination of two image transformations (or homographies) that map corresponding points on the two images, projections of the same point in the 3D space, onto the same horizontal l...
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Article
Distant retrograde orbits and the asteroid hazard
Distant Retrograde Orbits (DROs) gained a novel wave of fame in space mission design because of their numerous advantages within the framework of the US plans for bringing a large asteroid sample in the vicini...
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Article
Rigorous estimates for the relegation algorithm
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 algorithm is nowadays widely used ...
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Article
Qualitative and analytical results of the bifurcation thresholds to halo orbits
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 primaries is a radiating body and ...
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Chapter and Conference Paper
Bifurcations Thresholds of Halo Orbits
In this work an analytical study of the bifurcation of the halo orbits around the collinear points L 1 and L 2 for the circular, spatial, restricted three–body problem is presented. The energy level at which the ...
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Article
Analytical method for perturbed frozen orbit around an asteroid in highly inhomogeneous gravitational fields: a first approach
This article provides a method for finding initial conditions for perturbed frozen orbits around inhomogeneous fast rotating asteroids. These orbits can be used as reference trajectories in missions that requi...
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Article
Analytic estimates and topological properties of the weak stability boundary
The weak stability boundary (WSB) is the transition region of the phase space where the change from gravitational escape to ballistic capture occurs. Studies on this complicated region of chaotic motion aim to...
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Article
Low-thrust propulsion in a coplanar circular restricted four body problem
This paper formulates a circular restricted four body problem (CRFBP), where the three primaries are set in the stable Lagrangian equilateral triangle configuration and the fourth body is massless. The analysi...
