2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152696We show that the integrability of the dynamical system recently proposed by Calogero and characterized by the Hamiltonian $ H = \sum_{j,k}^{N} p_j p_k \{λ+ μcos [ ν( q_j - q_k)] \} $ is due to a simple algebraic structure . It is shown that the integrals of motion are related to the Casimiar invariants of of the $su(1,1)$ algebra. Our method shows clearly how these types of systems can be generalized .12 pages , Latex , No Figures , IPM preprint 96High Energy Physics - TheoryExactly Solvable and Integrable Systemstext