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Found 3 essays matching the above criteria.

1. 1. Long term chaotic attitude behaviour on highly eccentric orbits : INTEGRAL Case Study

   University essay from KTH/Farkost och flyg

   Author : Davide Menzio; [2016]
   Keywords : long-term propagation; attitude; stability; Poincaré map; momentum sphere.;

   Abstract : The main issues discussed in this paper are related to the refinement of the on-ground casualty risk computation for the specific case of INTErnational Gamma-Ray Astrophysics Laboratory (INTEGRAL). The current approach, unable to predict the spacecraft attitude motion, assumes random tumbling motion as initial condition to simulate the fragmentation process. READ MORE

3. 2. Analytical and Numerical Study of the Poincaré Map with Applications on the Computation of Periodic Orbits

   University essay from Uppsala universitet/Tillämpad matematik och statistik

   Author : Juan Carlos Albahaca; [2015]
   Keywords : ;

   Abstract : .... READ MORE

4. 3. Properties of a generalized Arnold’s discrete cat map

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Fredrik Svanström; [2014]
   Keywords : Arnold’s discrete cat map; Hyperbolic toral automorphism; Discrete-time dynamical systems; Poincaré recurrence theorem; Number theory; Linear algebra; Fibonacci numbers; Pell numbers; Cryptography;

   Abstract : After reviewing some properties of the two dimensional hyperbolic toral automorphism called Arnold's discrete cat map, including its generalizations with matrices having positive unit determinant, this thesis contains a definition of a novel cat map where the elements of the matrix are found in the sequence of Pell numbers. This mapping is therefore denoted as Pell's cat map. READ MORE