Coll Positioning systems: a two-dimensional approach
Joan Josep Ferrando
TL;DR
This paper introduces a two-dimensional model of Coll positioning systems, analyzing their properties and potential applications in gravimetry within a simplified relativistic framework.
Contribution
It presents a simplified two-dimensional approach to Coll positioning systems, elucidating their properties and potential use in gravimetry.
Findings
Analysis of flat metric Coll systems with two geodesic clocks
Identification of the relevance of Coll systems in gravimetry
Explanation of properties of relativistic positioning systems
Abstract
The basic elements of Coll positioning systems (n clocks broadcasting electromagnetic signals in a n-dimensional space-time) are presented in the two-dimensional case. This simplified approach allows us to explain and to analyze the properties and interest of these relativistic positioning systems. The positioning system defined in flat metric by two geodesic clocks is analyzed. The interest of the Coll systems in gravimetry is pointed out.
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