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A Universal Diagram for Gravimagnetic Rotators


The classification  given above was based on relations between the characteristic radii, i.e. quantities which cannot be observed directly. This drawback can be removed if we note that the light cylinder radius tex2html_wrap_inline8863 , Schwartzman radius  tex2html_wrap_inline9473 and corotation radius  tex2html_wrap_inline9592 are functions of the well-observed quantity, rotational period of the magnetor  p. Hence, the above classification can be reformulated in the form of inequalities for the rotational period of a magnetic rotator.

One can introduce two critical periods tex2html_wrap_inline9737 and tex2html_wrap_inline9739 such that their relationship with period p of a magnetic rotator specifies the rotator's type:


The values of tex2html_wrap_inline9737 and tex2html_wrap_inline9739 can be determined from Table 2 which defines the basic nomenclature, and are functions of the parameters tex2html_wrap_inline9270 , tex2html_wrap_inline9294 , tex2html_wrap_inline9376 and tex2html_wrap_inline9753 . The parameters p and tex2html_wrap_inline9376 characterize the electromagnetic interaction, while tex2html_wrap_inline9294 describes the gravitational interaction. Instead of tex2html_wrap_inline9294 , we introduce the potential accretion luminosity L


The physical sense of the potential luminosity is quite clear: the accreting star would be observed to have this luminosity if the matter formally falling on the gravitational capture cross-section were to reach its surface.

Approximate expressions for critical periods (Lipunov 1992[107]) are



Here a new critical period tex2html_wrap_inline9765 was introduced from the condition tex2html_wrap_inline9767 :


Treating the rotator's magnetic dipole moment tex2html_wrap_inline9376 and tex2html_wrap_inline9753 as parameters, we find that an overwhelming majority of the magnetor's stages can be shown on a `` tex2html_wrap_inline9773 '' diagram (Lipunov 1982a[98]). The quantity L also proves to be convenient because it can be observed directly at the accretion stage.

Mike E. Prokhorov
Sat Feb 22 18:38:13 MSK 1997