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The rotational speeds of irregular shaped minor celestial bodies can bechanged by the YORP effect. This variation in speed can make the numbers,positions, stabilities, and topological cases of the minor body s relativeequilibrium points vary. The numbers of relative equilibrium points can bereduced through the collision and annihilation of relative equilibrium points,or increase through the creation and separation of relative equilibrium points.Here we develop a classification system of multiple annihilation behaviors ofthe equilibrium points for irregular shaped minor celestial bodies. Most minorbodies have five equilibrium points; there are twice the number ofannihilations per equilibrium point when the number of equilibrium points isbetween one and five. We present the detailed annihilation classifications forequilibria of objects which have five equilibrium points. Additionally, theannihilation classification for the seven equilibria of Kleopatra shapedobjects and the nine equilibria of Bennu shaped objects are also discussed.Equilibria of different objects fall into different annihilationclassifications. By letting the rotational speeds vary, we studied theannihilations and creations of relative equilibria in the gravitational fieldof ten minor bodies.

Annihilation of Relative Equilibria in the Gravitational Field of Irregular-shaped Minor Celestial Bodies