Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian spacetime, is pri-vileged to construct a generic, gravity free and immediate (non retarded) relativistic positioning system. This is the causal class of the null emission coordinates. Emission coordinates are defined and generated by four emitters broadcasting their proper times. The emission coordi-nates are covariant (frame independent) and hence valid for any user. Any observer can obtain the values of his (her) null emission coordinates from the emitters which provide him his (her) trajectory. Key words: null emission coordinates, location systems, causal class, positioning system, gravimetry. 1
International audienceA relativistic positioning system is a physical realization of a coordinate sy...
The theory of relativistic location systems is sketched. The more important class of these systems a...
The basic theory on relativistic positioning systems in a two-dimensional space-time and the analysi...
Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian space-time, ...
International audienceThis paper introduces some general properties of the gravitational metric and ...
This paper introduces some general properties of the gravitational metric and the natural basis of v...
ABSTRACT. 4 emitters broadcasting an increasing electromagnetic signal generate a system of relativi...
4 emitters broadcasting an increasing electromagnetic signal generate a system of relativistic coord...
We investigate a relativistic positioning system where the coordinates of the users are determined ...
The theory of location systems involves the geometric and physical description of the protocols allo...
Lorentzian frames may belong to one of the 199 causal classes. Of these numerous causal classes, peo...
frames. We introduce an operational approach to the use of pulsating sources, located at spatial inf...
We introduce an operational approach to the use of pulsating sources, located at spatial infinity, f...
International audienceThe basic elements of the relativistic positioning systems in a two-dimensiona...
Relativistic positioning systems are interest-ing technical objects for applications around the Eart...
International audienceA relativistic positioning system is a physical realization of a coordinate sy...
The theory of relativistic location systems is sketched. The more important class of these systems a...
The basic theory on relativistic positioning systems in a two-dimensional space-time and the analysi...
Only a causal class among the 199 Lorentzian ones, which do not exists in the Newtonian space-time, ...
International audienceThis paper introduces some general properties of the gravitational metric and ...
This paper introduces some general properties of the gravitational metric and the natural basis of v...
ABSTRACT. 4 emitters broadcasting an increasing electromagnetic signal generate a system of relativi...
4 emitters broadcasting an increasing electromagnetic signal generate a system of relativistic coord...
We investigate a relativistic positioning system where the coordinates of the users are determined ...
The theory of location systems involves the geometric and physical description of the protocols allo...
Lorentzian frames may belong to one of the 199 causal classes. Of these numerous causal classes, peo...
frames. We introduce an operational approach to the use of pulsating sources, located at spatial inf...
We introduce an operational approach to the use of pulsating sources, located at spatial infinity, f...
International audienceThe basic elements of the relativistic positioning systems in a two-dimensiona...
Relativistic positioning systems are interest-ing technical objects for applications around the Eart...
International audienceA relativistic positioning system is a physical realization of a coordinate sy...
The theory of relativistic location systems is sketched. The more important class of these systems a...
The basic theory on relativistic positioning systems in a two-dimensional space-time and the analysi...