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):  
Orbit Problem

scholarly journals Accurate modelling of the low-order secondary resonances in the spin-orbit problem

2019 ◽  
Vol 77 ◽  
pp. 181-202
Author(s):  
Ioannis Gkolias ◽  
Christos Efthymiopoulos ◽  
Alessandra Celletti ◽  
Giuseppe Pucacco
Keyword(s):  
Spin Orbit ◽  
Secondary Resonances ◽  
Orbit Problem ◽  
Low Order

scholarly journals New Orbits for Enceladus and Dione Based on the Photographic Observations

1978 ◽  
Vol 41 ◽  
pp. 239-239
Author(s):  
W.H. Jefferys ◽  
J.D. Mulholland ◽  
L.M. Ries
Keyword(s):  
Gravitational Field ◽  
Computer Software ◽  
Physical Parameters ◽  
Theoretical Studies ◽  
Orbital Theory ◽  
Orbital Parameters ◽  
Outer Planets ◽  
Computer Software System ◽  
Near Future ◽  
Orbit Problem

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.

scholarly journals Effective stability around the Cassini state in the spin-orbit problem

2014 ◽  
Vol 119 (1) ◽  
pp. 75-89 ◽  
Author(s):  
Marco Sansottera ◽  
Christoph Lhotka ◽  
Anne Lemaître
Keyword(s):  
Spin Orbit ◽  
Effective Stability ◽  
Cassini State ◽  
Orbit Problem

The Orbit-Stabilizer Problem for Linear Groups

1985 ◽  
Vol 37 (2) ◽  
pp. 238-259 ◽  
Author(s):  
John D. Dixon
Keyword(s):  
Vector Space ◽  
Linear Group ◽  
General Linear Group ◽  
General Linear ◽  
Linear Groups ◽  
Rational Field ◽  
Finite Set ◽  
Image Position ◽  
Orbit Problem

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

Further commentary on the oxygen spin‐orbit problem

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

Export Citation Format

Share Document