A generalized approach to the evaluation of reflection effects in close binary systems

A convenient integral formulation (-integrals) proves useful in describing reflection effects where there is an axisymmetric illumination, and the form of the emergent intensity distribution of the reflected component can be approximated by a cosine series. The formulation is applied to close binary systems where theoretical curves for the reflected light variation are considered. The treatment proceeds to the fifth power in the fractional dimensions — i.e. including combination of the leading terms of reflection with physical distortion of the components — and is therefore consistent with the usual first order theory of photometric proximity effects in close binary systems.