Error analysis for the Global Positioning System: Difference between revisions

Revision as of 00:02, 31 May 2022

Revision as of 17:35, 5 June 2022

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=== General Relativity (GR) ===

GR has the opposite effect. GR predicts that clocks speed up as they get further away from a massive object (the Earth in this case). The effect of gravitational frequency shift on the GPS due to [[general relativity]] is that a clock closer to a massive object will be slower than a clock farther away. Applied to the GPS, the receivers are much closer to Earth than the satellites, causing the GPS clocks in the satellites to be faster by a factor of 5×10⁻¹⁰, or about +45.8 μs/day. This gravitational frequency shift is measurable. In fact, duringDuring early development, it was believed that GPS would not be affected by GR effects, but the [[Hafele–Keating_experimentHafele–Keating experiment]] showed it didwould be.

=== Combined SR and GR ===