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Astron. Astrophys. 331, L37-L40 (1998)

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Appendix

For [FORMULA], given the total energy

[EQUATION]

and angular momentum

[EQUATION]

the motion of the angular momentum vector in the coordinate system related to axes of inertia in the rotating frame is given by the following system of equations (Landau and Lifshits 1965):

[EQUATION]

where cn  [FORMULA], sn  [FORMULA], and dn  [FORMULA] are elliptic Jacobi functions and the dimensionless time [FORMULA] is

[EQUATION]

Specifying the relative differences [FORMULA], [FORMULA] and expressing the precession phase in units of the dimensionless precession period

[EQUATION]

with the parameter k defined as

[EQUATION]

we calculate the curves shown in Fig. 2 for the position of the magnetic pole on the neutron star surface and the angular momentum vector as explained in the figure caption.

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© European Southern Observatory (ESO) 1998

Online publication: March 3, 1998
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