English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The noise and drift requirements for a navigation-grade gyroscope are widelyknown, yet there is no simple analytic model of how the noise and drift of agyroscope influence the fix displacement error (FDE) of an inertial navigationsystem (INS). This work derives simple analytical expressions for thecross-track and along-track errors of an aircraft whose INS consists solely ofa three-axis gyroscope system with perfect knowledge of the vertical direction.The error signal of each gyroscope is Gaussian white noise and drift modeled asa first-order Markov random walk. These expressions provide a straightforwardmean of calculating the FDE of an aircraft as a function of the flightduration, velocity, noise amplitude, drift amplitude, and drift's timeconstant. These expressions are validated with Monte-Carlo simulations of longflights. This model quantifies the noise-versus-drift trade-off for a gyroscopein an inertial navigation system. It can save time when estimating the noiseand drift that a gyroscope must exhibit to satisfy a given position-errorrequirement, or vice versa. They are used in particular to confirm the values,often cited without demonstration, of the noise and drift required to meet themaximum position error of an aircraft imposed by the Federal AviationAdministration's required navigation performance 10 specification. Finally, itdemonstrates that using the minimum in the measured Allan deviation of agyroscope as a metric of the drift is incorrect, because it fails to capturethe drift's time constant. The proper metric is the maximum in the Allandeviation.

Analytic Method for Estimating Aircraft Fix Displacement from Gyroscope's Allan-Deviation Parameters