A study of artificial satellite resonance orbits due to lunisolar perturbations is given. Particular emphasis being placed on the following aspects - 1.The classification of resonance orbits according to their commensurability condition. 2. The form of the commensurability condition when expressed in terms of the orbital elements of a satellite. 3. The predominant resonant terms for each commensurability condition. 4. Criteria which determine the existence or non-existence of a particular commensurability condition.