International Astronomy and Astrophysics Research Journal

In this paper, with some plausible assumptions we use analytical methods and statistical methods to show that the central engine (which presumably houses a super massive blackhole) of a typical compact steep spectrum source fuels the source observed physical phenomena. With analytical methods, we show that the power of the source central engine  relates with some source observable parameters according to the relation,   (where is mass of hydrogen nucleus,  is speed of light,  is jet opening solid angle,  is conversion efficiency of matter into radiation,  is source linear size,  is source luminosity, is jet internal pressure, and Q  is a constant). The indices,  and , are to be estimated. In order to semi-empirically obtain estimates of the values of the indices, we carry out linear regression analysis of source linear sizes (D) against their corresponding luminosities (P) . Results show that  , while ψ = 32 is a positive integer. Hence, the aforementioned relation may be re-written as . This expression may be interpreted to mean that if some external factors are held fixed, the source central engine fuels/powers the observed physical properties/phenomena of the CSS source.