Which natural celestial objects have their coordinates unchanged: right ascension and declination; azimuth and altitude?

Right ascension and declination remain constant for stars and extragalactic objects, if we neglect the influence of precession and their own motion. Azimuth and altitude do not change for stars located at the poles of the world.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.