Gravitational interactions and density waves associated with galactic spiral arms induce systematic non-circular motions and orbital variations in the stars of the solar neighborhood, causing the Sun to oscillate around its standard galactic orbit.
The retrieved papers provide robust evidence from astrometric data (such as Gaia) and dynamical modeling showing that stellar orbits in the solar neighborhood experience perturbations, non-circular motions, and secular changes driven by Galactic spiral density waves. Papers [0], [1], [2], and [5] all directly support the premise that galactic spiral arms gravitationally impact stellar orbits and induce oscillatory or systematic velocity components near the Sun's location. There are no papers contradicting this mechanism.