scholarly journals On the Complexity of the Orbit Problem

2016 ◽  
Vol 63 (3) ◽  
pp. 1-18 ◽  
Author(s):  
Ventsislav Chonev ◽  
Joël Ouaknine ◽  
James Worrell
Keyword(s):  
Author(s):  
Ioannis Gkolias ◽  
Christos Efthymiopoulos ◽  
Alessandra Celletti ◽  
Giuseppe Pucacco

1978 ◽  
Vol 41 ◽  
pp. 239-239
Author(s):  
W.H. Jefferys ◽  
J.D. Mulholland ◽  
L.M. Ries

AbstractA program is underway at the McDonald Observatory to extend the series of photographic observations of the satellites of the outer planets (Abbot, Mulholland and Shelus, A.J. 80, 1975), and concurrent theoretical studies have led to a new orbital theory for the resonant pair of satellites, Enceladus and Dione (Jefferys and Ries, A.J. 80, 1975). The construction of the new theory, using the computer software system TRIGMAN, has provided Fortran subroutines for the computation of the planetocentric coordinates of the two satellites, as well as partial derivatives for the orbit elements and certain other physical parameters of the orbit problem, including some of the harmonics of the gravitational field of Saturn. The available photographic observations for these two objects are currently being discussed with the new theory, and improved values of the orbital parameters are expected in the near future.


2014 ◽  
Vol 119 (1) ◽  
pp. 75-89 ◽  
Author(s):  
Marco Sansottera ◽  
Christoph Lhotka ◽  
Anne Lemaître

1985 ◽  
Vol 37 (2) ◽  
pp. 238-259 ◽  
Author(s):  
John D. Dixon

Let G be a subgroup of the general linear group GL(n, Q) over the rational field Q, and consider its action by right multiplication on the vector space Qn of n-tuples over Q. The present paper investigates the question of how we may constructively determine the orbits and stabilizers of this action for suitable classes of groups. We suppose that G is specified by a finite set {x1, …, xr) of generators, and investigate whether there exist algorithms to solve the two problems:(Orbit Problem) Given u, v ∊ Qn, does there exist x ∊ G such that ux = v; if so, find such an element x as a word in x1, …, xr and their inverses.(Stabilizer Problem) Given u, v ∊ Qn, describe all words in x1, …, xr and their inverses which lie in the stabilizer


1973 ◽  
Vol 58 (1) ◽  
pp. 411-412 ◽  
Author(s):  
R. H. Pritchard ◽  
C. W. Kern ◽  
O. Zamani‐Khamiri ◽  
H. F. Hameka
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document