Titlebook: New Frontiers of Celestial Mechanics: Theory and Applications; I-CELMECH Training S Giulio Baù,Sara Di Ruzza,Marco Sansottera Conference pr

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,KAM Theory for Some Dissipative Systems,n of natural and artificial satellites, leading them to migration of orbits, resonant states, etc. Hence, there is the need to develop theories that ensure the existence of structures such as invariant tori or periodic orbits, and device efficient computational methods. In this work we study the exi

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,Orbit Determination with the Keplerian Integrals,onservation laws of Kepler’s problem, and allow to attempt the linkage of TSAs referring to quite far epochs, differing by even more than one orbital period of the observed object. The first method (.) concerns the linkage of 2 TSAs, and leads to a univariate polynomial equation of degree 9. An opti

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,Resonant Dynamics of Space Debris, from Low Earth Orbits at altitudes of a few hundreds of kilometers to the Geostationary Earth Orbit, a region located at 42 164 km from the center of the Earth. The size of the debris runs from submillimeters to a few meters, but in view of their high velocities, they pose a serious threat for curr

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Ugo Locatelli,Chiara Caracciolo,Marco Sansottera,Mara Volpior FR are instrumental in analyzing a broader class of link reversal routing algorithms, as we show in a companion paper that such algorithms can be reduced to FR. In the current paper, we further demonstrate the utility of our formulas by using them to show the previously unknown fact that FR is ti

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Jérôme Daquin,Sara Di Ruzza,Gabriella Pinzari > sn(.) + 1. Moreover, we prove that . for any .-node graph .. While the gap between these bounds remains huge, it seems difficult to reduce it. We then define the . where the observer has no . knowledge of the graph topology and discovers it little-by-little. Unfortunately, we show that no algorit

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Renato Calleja,Alessandra Celletti,Rafael de la Llave of a temporary ., i.e., an edge in . reconnecting the two subtrees of . induced by the edge failure. According to the tree spanner’s nature, a . for a failing edge . is then a swap edge generating a reconnected tree of minimum stretch factor w.r.t. distances in the graph . deprived of edge .. For t