sensors Article Theoretical Limits of Star Sensor Accuracy † Marcio A. A. Fialho 1,* and Daniele Mortari 2 1 Divisão de Eletrônica Aeroespacial (DIDEA), National Institute for Space Research (INPE), Av. dos Astronautas, 1758, São José dos Campos, SP 12227, Brazil 2 Aerospace Engineering, Texas A&M University, College Station, TX 77843, USA;
[email protected] * Correspondence: marcio.fi
[email protected]; Tel.: +55-12-3208-6145 † This paper is a revised and extended version of a work previously published as a doctoral thesis chapter. Received: 17 October 2019; Accepted: 25 November 2019; Published: 5 December 2019 Abstract: To achieve mass, power and cost reduction, there is a trend to reduce the volume of many instruments aboard spacecraft, especially for small spacecraft (cubesats or nanosats) with very limited mass, volume and power budgets. With the current trend of miniaturizing spacecraft instruments one could naturally ask if is there a physical limit to this process for star sensors. This paper shows that there is a fundamental limit on star sensor accuracy, which depends on stellar distribution, star sensor dimensions and exposure time. An estimate of this limit is given for our location in the galaxy. Keywords: star sensors; stellar distribution; photometry; astrometry; star catalogs; fundamental limits 1. Introduction Much progress in a variety of fields in science and technology could be accomplished thanks to the miniaturization obtained in microelectronics in the recent decades. One of the most remarkable examples is the prediction by Gordon Moore that the computational power would increase exponentially, an empirical observation that became known as Moore’s law [1–4].