Ephemeris, in astronomy, refers to the trajectory of naturally occurring astronomical objects as well as artificial satellites in the sky. The astronomical position calculated from an ephemeris is given in the spherical polar coordinate system of right ascension and declination. This was a term that was coined in Latin several centuries ago but has proof of its origin from the first Babylonian time and grew over years through different civilizations. Printed ephemerides that showcase mathematical models of the motion of astronomical objects are still produced. A modern planetary ephemeris comprises of software that generates positions of planets and often of their satellites, asteroids, or comets, at virtually any time desired by the user. Scientific ephemerides often contain further useful data about the moon, planet, asteroid, or comet beyond the pure coordinates in the sky, such as elongation to the Sun, brightness, distance, velocity, apparent diameter in the sky, phase angle, times of rising, transit, and set, etc.
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