from orbit to coordinates

[aster94]

hello,

I am wondering how is possible to express the orbit of an object and where, if possible, can I find it?

for example if I go to the ISS website I can see that they have a map (https://spotthestation.nasa.gov/tracking_map.cfm) that shows the position of the ISS second by second and it's future position. How is it calculated? Is this mathematical formula somwehere?

Also before I wrote "position" how it it expressed? I guess it is the https://en.wikipedia.org/wiki/Equatorial_coordinate_system so it will use a declination and right ascension but how can I translate these to a https://en.wikipedia.org/wiki/Horizontal_coordinate_system so to azimuth and altitude?

 

Edit: for the second part of the question it is just a bit of math: https://astronomy.stackexchange.com/questions/13067/conversion-from-equatorial-coordinate-to-horizon-coordinates and http://www.zafzaf.it/coordinate/chapter7.htm

Edited April 15, 2020 by aster94

[Davey-T]

Orbital elements are expressed as ephemeris ( TLEs ) so solar system objects orbits can be tracked and entered into software to find things though the ISS has to be recalculated as it's not constant.

Dave

[aster94]

I am not sure if ephemeris is what I am looking for, my question is indeed how ephemeris are calculated?

I am very curios of how this site made this previsions: https://www.calsky.com/map.php?lang=en&isstransit=&lunar=