Abstract
In the problem of relational bounded three bodies, the stability of quasicircular orbits close to the central body was investigated. In the case when it is not relational, the orbits of the test body can be described through the Hill surfaces. The location of the central body corresponds to the origin, the second body moves in a circular orbit that is around the central (first) body. The equations of motion of the problem of bounded, relational three bodies were investigated for circular orbits. Using these equations of relational motion, the stability problem of the relational quasicircular orbits of the test body in regions close to the central body was investigated.
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