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Context. A region at the inner edge of the main asteroid belt is populated bythe Hungaria asteroids. Among these objects, the Hungaria family is formed asthe result of a catastrophic disruption of (434) Hungaria asteroid hundredmillion years ago. Due to the Yarkovsky effect, the fragments depending ontheir direction of rotation are slowly drifting inward or outward from theactual place of collision. Due to this slow drift these bodies could approachthe locations of the various mean-motion resonances (MMRs) of outer type withMars. Aims. We aim to study the actual dynamical structure of Hungariaasteroids that is primarily shaped by various MMRs of outer type with Mars.Moreover, we also seek connections between the orbital characteristics ofHungaria asteroids and their absolute magnitude. Methods. To map the resonantstructure and dynamics of asteroids belonging to the Hungaria group, we use themethod FAIR (as FAst Identification of mean motion Resonances), which candetect MMRs without the a priori knowledge of the critical argument. We alsocompile stability maps of the regions around the MMRs by using the maximalvariations in the asteroids' eccentricities, semi-major axes, and inclinations.We numerically integrate the orbits of all asteroids belonging to the Hungariagroup available in the JPL Horizon database together with the Solar Systemplanets for one and ten million years. Results. Having studied the resonantstructure of the Hungaria group, we find that several asteroids are involved invarious MMRs with Mars. We identify both short and long-term MMRs. Besides, wealso find a relationship between the absolute magnitude of asteroids and theMMR in which they are involved.

A survey on Hungaria asteroids involved in mean motion resonances with Mars