| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 799146 | Mechanics Research Communications | 2013 | 7 Pages |
A normalized averaged (integrable) Hamiltonian approximation is used to study the attitude dynamics of a rigid body satellite in a gravity field, with an emphasis on bifurcations. The phase portrait is represented in a Mercator map and on a 3D sphere. Pitchfork bifurcations and degeneracies (a dense set of equilibria) are found.
► A normalized averaged (integrable) Hamiltonian approximation is used to study the attitude dynamics of a rigid body satellite in a gravity field. ► The phase portrait is represented in a Mercator map and on a 3D sphere. Pitchfork bifurcations and degeneracies are found. ► Visualization techniques have been shown to be very useful for analyzing the problem. ► We found the bifurcations as well as two degenerate cases, that is, cases in which there are infinite equilibria.
