English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

New exact solutions are derived for the gravitational potential inside andoutside a homogeneous torus as rapidly converging series of toroidal harmonics.The approach consists of splitting the inter- nal potential into a knownsolution to Poisson's equation plus some solution to Laplace's equation. Thefull solutions are then obtained using two equivalent methods, applyingdifferential boundary conditions at the surface, or evaluating a surfaceintegral derived from Green's third identity. This surface integral may nothave been published before and is general to all geometries and volume densitydistributions, reducing the problem for the gravitational potential of anyobject from a volume to a surface integral.

Exact gravitational potential of a homogeneous torus in toroidal coordinates and a surface integral approach to Poisson's equation