Statistical Aspects of Baseline Calibration in Earth-Bound Optical Stellar Interferometry

TL;DR

This paper discusses the statistical methods for calibrating the baseline of earth-based optical stellar interferometers, emphasizing the importance of accurate calibration for precise astrometric measurements.

Contribution

It introduces a statistical framework for baseline calibration using calibrator stars, highlighting how errors decrease with more data and proper scheduling.

Findings

Errors in baseline parameters decrease with more calibrator observations.

Scheduling of observations significantly impacts calibration accuracy.

Calibration errors are proportional to individual measurement errors and calibrator position inaccuracies.

Abstract

Baseline calibration of a stellar interferometer is a prerequisite to data reduction of astrometric operations. This technique of astrometry is triangulation of star positions. Since angles are deduced from the baseline and delay side of these triangles, length and pointing direction (in the celestial sphere) of the baseline vector at the time of observation are key input data. We assume that calibration follows from reverse astrometry; a set of calibrator stars with well-known positions is observed and inaccuracies in these positions are leveled by observing many of them for a common best fit. The errors in baseline length and orientation angles drop proportional to the inverse square roots of the number of independent data taken, proportional to the errors in the individual snapshots of the delay, and proportional to the errors in the apparent positions of the calibrators. Scheduling becomes important if the baseline components are reconstructed from the sinusoidal delay of a single calibrator as a function of time.