# The Calibration of the ARA Station Geometry

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## Abstract

To allow for a proper vertex reconstruction, which is important for neutrino identification and later astrophysical research, we need to know the relative timing between antennas and their geometrical positions very precisely. Given the small side length of roughly \({20}\,\mathrm{{m}}\) of the cubical ARA stations we need a relative timing precision of about \({2}\,\mathrm{{ns}}\) or a knowledge of the antenna position within \({30}\,\mathrm{{cm}}\), to achieve an angular resolution of roughly \({1}^{\circ }\). To allow for a good stability of used reconstruction algorithms, an even better knowledge of the station geometry is required. Furthermore, it can be deduced from calculations shown in Sect. 3.1.3 that we need to know the distance to the vertex of a neutrino induced cascade to calculate the energy of the primary particle. This distance can be derived using the curvature of the incoming wavefront. Especially for far vertices this curvature is very faint. On the baseline of \({20}\,\mathrm{{m}}\), timing precision has to be on the order of \({100}\,\mathrm{{ps}}\) to obtain a reasonable radial precision. From Sect. 5.2.6 we know that this precision can in principle be achieved with the used sampling devices, if systematic errors on the antenna positions and cable delays are small.

## Keywords

Azimuth Angle Cross Check Reference Pulser Antenna Position Reference String## References

- 1.A. Connolly, Defining ARA Coordinate Systems, Internal ARA document (2013)Google Scholar