  The Vishik's Normal Form provides a local smooth conjugation with a linear
vector field for smooth vector fields near contacts with a manifold. In the
present study, we focus on the analytic case. Our main result ensures that for
analytic vector field and manifold, the conjugation with the Vishik's normal
form is also analytic. As an application, we investigate the analyticity of
Poincar\'e Half Maps defined locally near contacts between analytic vector
field and manifold.
