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Here we study the dynamical effects of the solar radiation pressure (SRP) ona spacecraft that will survey the near-Earth rotating asteroid (101955) Bennuwhen the projected shadow is accounted for. The spacecraft's motion near(101955) Bennu is modelled in the rotating frame fixed at the centre of theasteroid, neglecting the sun gravity effects. We calculate the solar radiationpressure at the perihelion, semi-major axis and aphelion distances of theasteroid from the Sun. The goals of this work are to analyse the stability forboth homogeneous and inhomogeneous mass distribution and study the effects ofthe solar radiation pressure in equatorial orbits close to the asteroid(101955) Bennu. As results, we find that the mascon model divided into tenequal layers seems to be the most suitable for this problem. We can highlightthat the centre point $E$8, which was linearly stable in the case of thehomogeneous mass distribution, becomes unstable in this new model changing itstopological structure. For a Sun initial longitude $\psi_0 = -180^o$, startingwith the spacecraft longitude $\lambda = 0$, the orbits suffer fewer impactsand some (between 0.4 and 0.5 km), remaining unwavering even if the maximumsolar radiation is considered. When we change the initial longitude of the Sunto $\psi_0 = -135^o$, the orbits with initial longitude $\lambda = 90^0 $appear to be more stable. Finally, when the passage of the spacecraft in theshadow is accounted for, the effects of solar radiation pressure are softened,and we find more stable orbits.

Dynamics in the vicinity of (101955) Bennu: Solar radiation pressure effects in equatorial orbits