On the Manifold “Gravitational Propeller” in the Generalized Circular Sitnikov Problem

On the Dumb-Bell Equilibria in the Generalized Sitnikov Problem

“…In the generalized Sitnikov problem, the barycenter of a rigid body can move along the Oz axis also. Thus, the article [8] describes the translational-rotational motion of a homogeneous rod where its barycenter moves along the normal to the plane of motion of the to primaries, whilst the rod itself rotates continuously around the normal, forming a constant angle of π 2 with it (the manifold "gravitational propeller"). It is also shown that this manifold includes, as a special case, two types of motions of the rod.…”