Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion

Details Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion

2009-06-29

arxiv.org/abs/0906.5312v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

21 pages

Scientific paper

The Hamilton-Jacobi equation in the sense of Poincar\'e, i.e. formulated in the extended phase space and including regularization, is revisited building canonical transformations with the purpose of Hamiltonian reduction. We illustrate our approach dealing with orbital and attitude dynamics. Based on the use of Whittaker and Andoyer symplectic charts, for which all but one coordinates are cyclic in the Hamilton-Jacobi equation, we provide whole families of canonical transformations, among which one recognizes the familiar ones used in orbital and attitude dynamics. In addition, new canonical transformations are demonstrated.

Affiliated with

Also associated with

No associations

Rating

Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Families of Canonical Transformations by Hamilton-Jacobi-Poincaré equation. Application to Rotational and Orbital Motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-248209