Measurements of heliospheric magnetic field near the Earth, along with synchronous auroral power flux data in northern and southern ovals are analysed. The measurements covered the period since 1965 to 2001. Behaviours of power flux, intensity of auroral oval, and geomagnetic K_p- and D_st-indexes are analysed depending on the interplanetary magnetic field orientation in the solar equator plane. Azimuthal asymmetry of geomagnetic displays is shown to be almost identical It is conceivable that the result might be evidence for existence of some global orderliness of the magnetic field in the heliosphere. Seasonal changes of the terrestrial dipole position in relation to the Earth — Sun line can also influence geomagnetic activity. In this case a regular asymmetry of precipitations, namely, the southern power flux is lesser than the northern one, is also observed.