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We consider the circular motion of test particles in the gravitational fieldof a static and axially-symmetric compact object described by the $q$-metric.To this end, we calculate orbital parameters of test particles on accretiondisks such as angular velocity ($\Omega$), total energy ($E$), angular momentum($L$), and radius of the innermost stable circular orbit ($r_{ISCO}$) asfunctions of the mass ($m$) and quadrupole ($q$) parameters of the source. Theradiative flux, differential, and spectral luminosity of the accretion disk,which are quantities that can be experimentally measured, are then explored indetail. The obtained results are compared with the corresponding ones for theSchwarzschild and Kerr black holes in order to establish whether black holesmay be distinguished from the $q$-metric via observations of the accretiondisk's spectrum.

Luminosity of accretion disks in compact objects with quadrupole