A new equal-area isolatitudinal grid on a spherical surface

TL;DR

The paper introduces SREAG, a simple and uniform equal-area grid method for spherical surfaces, improving cell shape and ring width consistency for applications in astronomy and geodesy.

Contribution

A novel spherical grid method that ensures uniform ring width, rectangular cells, and flexible resolution, surpassing existing equal-area pixelization techniques.

Findings

Provides more uniform latitudinal ring widths than other methods.

Enables creation of grids with arbitrary number of rings and cell sizes.

Simplifies visualization and interpretation of binned data in longitude-latitude coordinates.

Abstract

A new method SREAG (spherical rectangular equal-area grid) is proposed to divide a spherical surface into equal-area cells. The method is based on dividing a sphere into latitudinal rings of near-constant width with further splitting each ring into equal-area cells. It is simple in construction and use, and provides more uniform width of the latitudinal rings than other methods of equal-area pixelization of a spherical surface. The new method provides a rectangular grid cells with the latitude- and longitude-oriented boundaries, near-square cells in the equatorial rings, and the closest to uniform width of the latitudinal rings as compared with other equal-area isolatitudinal grids. The binned data is easy to visualize and interpret in terms of the longitude-latitude rectangular coordinate system, natural for astronomy and geodesy. Grids with arbitrary number of rings and, consequently, wide and theoretically unlimited range of cell size can be built by the proposed method. Comparison with other methods used in astronomical research showed the advantages of the new approach in sense of uniformity of the ring width, a wider range of grid resolution, and simplicity of use.