TY - JOUR

T1 - Software package for nautical astronomy

AU - Алцыбеев, Глеб Олегович

AU - Алцыбеев, Олег

AU - Сибилев, Вадим

PY - 2025/10/1

Y1 - 2025/10/1

N2 - The article is devoted to the mathematical theories and algorithms necessary for the implementation of a software package that fully automates the calculations necessary in Nautical Astronomy. The article describes a method for calculating the equatorial and horizontal coordinates of the celestial bodies at any moment of time. The authors describe the calculation of the time of the apparent rising (setting) of the Sun, solar illumination and events of other celestial bodies. A formula for calculating astronomical refraction is proposed. A matrix method for implementing the method of least squares for determining the coordinates of a place along the lines of position is described. An algorithm for identifying navigational planets is also described and a method for estimating the error for it is proposed. Based on this, the results of the development of the software package 'Astronomy Package' for Nautical Astronomy are presented.

AB - The article is devoted to the mathematical theories and algorithms necessary for the implementation of a software package that fully automates the calculations necessary in Nautical Astronomy. The article describes a method for calculating the equatorial and horizontal coordinates of the celestial bodies at any moment of time. The authors describe the calculation of the time of the apparent rising (setting) of the Sun, solar illumination and events of other celestial bodies. A formula for calculating astronomical refraction is proposed. A matrix method for implementing the method of least squares for determining the coordinates of a place along the lines of position is described. An algorithm for identifying navigational planets is also described and a method for estimating the error for it is proposed. Based on this, the results of the development of the software package 'Astronomy Package' for Nautical Astronomy are presented.

KW - celestial navigation

KW - ephemerides

KW - equatorial coordinates of navigational celestial bodies

KW - nautical astronomy

KW - planetary theory

UR - https://www.mendeley.com/catalogue/d99e5b65-ea7d-31cc-a367-3f0d3f7ec96d/

U2 - 10.1017/s0373463325101318

DO - 10.1017/s0373463325101318

M3 - Conference article

JO - Journal of Navigation

JF - Journal of Navigation

SN - 0373-4633

ER -