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AIDJEX Bulletin #40 - Polar Science Center - University of Washington

AIDJEX Bulletin #40 - Polar Science Center - University of Washington

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incorporated the positioning accuracy information to give smoothed time series<br />

<strong>of</strong> position, velocity, acceleration, and azimuth.<br />

This paper describes the positioning system and the changes made to<br />

improve its performance, among them the removal <strong>of</strong> timing errors by correcting<br />

Doppler counts; automatic selection, acquisition, and break-<strong>of</strong>f from satellite<br />

passes; and definition <strong>of</strong> a simplified editing procedure suitable for realtime<br />

fix processing which gives the best translocation matching possible.<br />

The positioning system at each camp contained two receivers, their antennas<br />

separated by 100 m, to provide azimuth data and receiver redundancy.<br />

REQUIREMENTS FOR POSITION ACCURACY<br />

The motion <strong>of</strong> a piece <strong>of</strong> sea ice adjusts to balance the forces exerted by<br />

the air and the ocean, the Coriolis force, inertia, and stress gradients within<br />

the ice. An objective <strong>of</strong> <strong>AIDJEX</strong> has been to study this response and to collect<br />

data against which theories could be tested.<br />

Motion is used here in several senses. Generally, the motion <strong>of</strong> a piece<br />

<strong>of</strong> ice is the time series <strong>of</strong> the positions <strong>of</strong> that piece <strong>of</strong> ice. The term<br />

is also used loosely to refer to quantities derived from one or several <strong>of</strong><br />

these time series--in particular, the ice velocity, acceleration, and deformation.<br />

These quantities figure into the balance-<strong>of</strong>-force equation: the<br />

velocity appears in the Coriolis force, the acceleration in the inertia term,<br />

and the deformation is related to the ice stress by a postulated constitutive<br />

law. The need to estimate each <strong>of</strong> these quantities for the force balance<br />

determined the sampling and accuracy criteria for the position measurement<br />

p r o g ram.<br />

On the basis <strong>of</strong> earlier work [Thorndike, 19741, it was decided that the<br />

highest frequencies <strong>of</strong> interest were about two cycles per day (approximately<br />

the inertial frequency at the latitude <strong>of</strong> the <strong>AIDJEX</strong> main experiment). This<br />

made it necessary to obtain at least four position measurements per day at<br />

each camp.<br />

On somewhat less evidence a space scale <strong>of</strong> 100 km was selected for study.<br />

Assuming approximately linear changes in velocity over that distance, three<br />

measuring points suffice to estimate deformation. Additional points provide<br />

84

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