... Armagh Observatory, College Hill, Armagh BT61 9DG, +44 (0)28 3752 2928 . ... Our calculations show that although the Newtonian model works very well for almost all practical purposes for the well known showers during present epochs, there could be some exceptional combinations of orbital elements for which the general relativistic precession in argument of pericentre and its influence on nodal distances could become significantly pronounced and decisive for predicting any earth-meteor intersection. ...