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The classic concept of positioning systems for a Global Navigation Satellite System (GNSS) would work ideally if all satellites and the receiver were at rest in an inertial reference
frame. But at the level of precision needed by a GNSS, one has to consider curvature and
relativistic inertial effects of spacetime, which are far from being negligible.
There are two very different ways of including relativity in a positioning system: one way is to keep the newtonian conception of absolute time and space,
and add a number of corrections depending on the desired accuracy; another way is to use a
relativistic positioning system. This is a complete change of paradigm, as the constellation
of satellites is described in a general relativistic framework. With the use of satellites' interlinks, this new scheme for positioning
could lead to several advantages: a very stable and accurate primary reference system,
which could be used for many areas of science such as geology, gravitational wave detection
or relativistic gravimetry.
In this workshop several researchers will present their latest research in this domain. Some time will be devoted to discussion and the workshop will be followed by a dinner.
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