  Two reference systems (RS) are defined and used as the basis for
investigating thermal effects of rotation through both random classical zero
point radiation and quantum vacuum. Both RSs consist of an infinite number of
instantaneous global inertial reference frames (RF). The RFs do not accompany
the detector and are defined so that at each moment of proper time of the
detector there are two RFs belonging with different RSs. These RFs agree
momentarily, are connected by a Lorentz transformation with the detector
velocity as a parameter, and with origins at the detector location at the same
proper time. The two- field correlation functions (CF) measured by the observer
rotating through a random classical zero point radiation have been calculated
and presented in terms of elementary functions for both electromagnetic and
massless scalar fields. If the CFs are periodic with a period of rotation the
observer finds the spectrum which is very similar, but not identical, to Plank
spectrum. If both fields of such a two-field periodic CF, for both
electromagnetic and massless scalar case, are taken at the same point then its
convergent part is shown, using Abel-Plana summation formula, to have Planck
spectrum with the temperature T= hw/k, where w is an angular velocity of the
detector. It is shown that the vacuum of the quantized massless scalar field in
rotating RS is not equivalent to the vacuum of the field in the laboratory
system because the respective Bogolubov transformation is not a zero.
