The extended phase space formulation of the Vinti problem Academic Article uri icon


  • The Vinti problem, motion about an oblate spheroid, is formulated using the extended phase space method. The new independent variable, similar to the true anomaly, decouples the radius and latitude equations into two perturbed harmonic oscillators whose solutions to O(J24) are obtained using Lindstedt's method. From these solutions and the solution to the Hamilton-Jacobi equation suitable angle variables, their canonical conjugates and the new Hamiltonian are obtained. The new Hamiltonian, accurate to O(J24) is function of only the momenta. © 1977 D. Reidel Publishing Company.

author list (cited authors)

  • Alfriend, K. T., Dasenbrock, R., Pickard, H., & Deprit, A.

citation count

  • 10

publication date

  • December 1977