@article {10.3844/pisp.2025.7.17,
article_type = {journal},
title = {A Generalized Algorithm for the Gravitational Potential of a Homogeneous Cuboid},
author = {Periyandy, Thundenran and Bevis, Michael},
volume = {16},
year = {2025},
month = {Nov},
pages = {7-17},
doi = {10.3844/pisp.2025.7.17},
url = {https://thescipub.com/abstract/pisp.2025.7.17},
abstract = {This paper presents a mathematical formulation for computing the gravitational potential of a cuboid (or right rectangular prism) with uniform density. The resulting analytical expressions are valid inside, on and outside the cuboid. The methodology systematically organizes logarithmic and arctangent terms using a hexagonal graph approach, promoting numerical stability and correct sign allocation. We provide a structured pseudocode algorithm to facilitate computational implementation, and actual codes written in Python, Matlab and Julia. We also introduce a test, that we call a Laplacian test, used to validate our algorithm and codes. Keywords: Gravitational Potential, Cuboid, Hexagonal Graph, Finite Differences, Laplacian Test.},
journal = {Physics International},
publisher = {Science Publications}
}