For airborne gravimetry using INS and GPS, the accelerations from both
systems are differenced to yield the gravity acceleration. Usually, t
he GPS acceleration is determined by first solving for the position of
the vehicle relative to a base station and subsequently taking two ti
me derivatives of the vertical component. An alternative method is to
time-differentiate the observed phases directly, thus avoiding the cyc
le ambiguity problem that must be solved for positioning and that is f
raught with (certainly not insurmountable) difficulties in the event o
f a cycle slip. Due to the largely unpredictable receiver-clock errors
and the imposition of the Selective Availability degradation, doubly
differenced (in space) phase accelerations are used to obtain the rela
tive vehicle accelerations. Test results for stationary receivers show
that the acceleration vector can be determined from phase acceleratio
ns to an accuracy of 1 mgal for 40-s averages. The mathematical formul
ation of the acceleration determination also highlights certain other
advantages over traditional methods, such as the avoidance of the Eotv
os correction, although a similar kind of velocity effect must be dete
rmined.