A control network for Triton has been computed using a bundle-type analytical triangulation program. The network contains 105 points that were measured on 57 Voyager 2 pictures. The adjustment contained 1,010 observation equations and 382 normal equations and resulted in a standard measurement error of 13.36 micrometers. The authors determined coordinates of the control points, the camera orientation angles at the times when the pictures were taken, and Triton's mean radius. A separate statistical analysis confirmed Triton's radius to be 1352.6, plus or minus 2.4 km. Attempts to tie the control network around the satellite were unsuccessful because discontinuities exist in high-resolution coverage between 66 degrees and 289 degrees longitude, north of 38 degrees latitude, and south of 78 degrees latitude.