Solid angle of the off-axis circle sector
Abstract
The solid angle of a circular sector specified by circle radius, angle of the sector, and distance of the circle plane to the observer is calculated in terms of inverse trigonometric functions and elliptic integrals of the third kind. This generalizes results that have previously appeared in the literature for the full circle.
Fields of Study & Subjects
Mathematics and Applications
Aerospace Engineering and Control Systems
Robotic Mechanisms and Dynamics
Publication details
- Journal / source
- Review of Scientific Instruments
- Publisher
- AIP Publishing
- Volume
- 97
- Issue
- 8
- Publication date
- 1 August 2026
- Language
- EN