Hi all ! :)
Here are some informations about INS given by a real Mirage crew member (thanks to him and sorry for my English, I try to do my best) on Check-six french forum:
It's done on Park group because it needs 400Hz to feed the inertial unit.
We avoids to do it while engine running due to vibrations.
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Have to always check the heading in the INS in DCI 100so
The ALCM is a particular alignment mode for takeoff on alert, mainly used by the PO (Permanence Opérationnelle - Quick Reaction Alerte). You must have done previously an ALN, so, did not have move the plane after his return to parking.
An ALCM requires having the coordinates lat / lon / alt and exact heading.
An ALN, normal ALIgnment, always takes 8mn, whatever the heading inserted.
To determine the heading, the INS uses the the latitude's cosinus and measures the Earth's rotation speed.
Maybe it can help you Zeus ?