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We discuss recent observational data on the transverse and radial velocities,as well as on the masses of the main components of the Orion Trapezium. Basedon the most reliable values of these quantities we study the dynamicalevolution of ensembles of multiple systems mimicking the Orion Trapezium. Tothis end we conduct numerical $N-$body integrations using the observed masses,planar positions and velocities, radial velocities, and random line-of-sight($z$) positions for all components. We include perturbations in thesequantities compatible with the observational errors. We find the dynamicallifetimes of such systems to be quite short, of the order of 10 to 50 thousandyears. The end result of the simulations is usually a tight binary, orsometimes a hierarchical triple. The properties of the evolved systems arestudied at different values of the crossing times. The frequency distributionsof the major semiaxes and eccentricities of the resulting binaries arediscussed and compared with observations.

On the dynamical evolution of the Orion Trapezium