A classical approach to the many-body problem is that of using special perturbation methods. Nowadays and due to the availability of high-speed computers is an essential tool in Space Dynamics which exhibits a great advantage: it is applicable to any orbit involving any number of bodies and all sorts of astrodynamical problems, especially when these problems fall into regions in which general perturbation theories are absent. One such case is, for example, that Near Earth Objects (NEO’s) dynamics. In this field, the Space Dynamics Group of UPM (SDG) has developed a new regularization scheme —called DROMO— which is characterized by only 8 ODE. This new regularization scheme allows a new approach to the dynamics of NEO’s in the long term, specially appropriated to consider the influence of the anisotropic thermal emission (Yarkovsky and YORP effects) on the dynamics. A new project, called NEODROMO, has been started in SDGthat aims to provide a reliable tool for the long term dynamics of NEO’s.

   This novel method is especially appropriated to carry out the propagation of complex orbits, like, for example, NEO’s orbits. The formulation of DROMO is flexible and it permits, in some cases, to obtain analytical or semi-analytical solutions. However, the best performances of DROMO are obtained when it is used in the numerical propagation of orbits. Thus, DROMO turns out to be one of the most accurate propagators when compared with similar formulations. Due to the plus of accuracy provided by the DROMO formulation, this scheme is quite appropriated for the propagation of orbits when a high-fidelity description of the trajectory is mandatory.