Spherical Rectangular Equal-Area Grid (SREAG): Some features

Zinovy Malkin

Spherical Rectangular Equal-Area Grid (SREAG): Some features

Instrumentation and Methods for Astrophysics 2019-12-13 v1

Authors: Zinovy Malkin

Abstract

A new method Spherical Rectangular Equal-Area Grid (SREAG) was proposed in Malkin (2019) for splitting spherical surface into equal-area rectangular cells. In this work, some more detailed features of SREAG are presented. The maximum number of rings that can be achieved with SREAG for coding with 32-bit integer is $N_{ring}$ =41068, which corresponds to the finest resolution of $\sim$ 16 $''$ . Computational precision of the SREAG is tested. The worst level of precision is $7\cdot10^{-12}$ for large $N_{ring}$ . Simple expressions were derived to calculate the number of rings for the desired number of cells and for the required resolution.

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@article{arxiv.1912.05593,
  title  = {Spherical Rectangular Equal-Area Grid (SREAG): Some features},
  author = {Zinovy Malkin},
  journal= {arXiv preprint arXiv:1912.05593},
  year   = {2019}
}

Comments

Presented at the Journees 2019 "Astrometry, Earth rotation and Reference systems in the Gaia era", Paris, France, 7-9 Oct 2019. Supporting routines are included in the distribution

Spherical Rectangular Equal-Area Grid (SREAG): Some features

Abstract

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