In previous papers [1,2] relating to the concept of Combined Gravitational Action (CGA) we have established the CGA-theoretical foundations as an alternative gravity theory that already allowed us to resolve -in its context- some unexpected and defiant problems occurred inside and outside the Solar System like, e.g., the anomalous Pioneer 10’s deceleration; the observed secular increase of the Astronomical Unit [3] and the apsidal motion anomaly of the eclipsing binary star systems DI Herculis and V459 Cassiopeia. All that has been done without exploring fully the CGA-formalism, hence, the main purpose of the present paper is to explore profoundly the CGA-equations in order to investigate, among other things, the secular perigee precession of the Moon; the secular perihelion advance of the planets; the CGA-effects in the non-compact and compact stellar objects.