A scientific probe of mass \(M_{probe}\) is located at a distance \(R\) from the center of a planet of mass \(M_P\). At this location, the probe's onboard instruments measure the local gravitational field strength to be \(g\). The probe then deploys a small landing module with a mass \(m = \dfrac{M_{probe}}{10}\). While the landing module is still at the same distance \(R\) from the planet's center, how does the gravitational field strength \(g_{module}\) experienced by the module compare to \(g\), and what is the justification?