
The orbit determination happens from one single observationpoint of the earths surface, while the motion of the earth (with the observer) must be calculated out. The latter is not the subject of the scripts. Although the moving position of the observer is a big calculation, this is selfunderstanding for all observations, so that thereafter the position of the celestial body is obtained with reference to the sun in the ecliptical coordinate system. The long term fluctuations of the ecliptic and equator must be calculated out (precession and nutation), this is selfunderstanding and belongs automaticly to the procedure as well as the runtime of the light and the abberation in the telescope, because while ligth passes the telescope, the telescope moves with the motion of the earth. And the orbit of the celestial body is anyway determined from the attraction force of the sun unless it comes not near to a solar close planet, so that the attraction force of this planet is stronger than the one of the sun. In this case we would have the socalled 3body problem and this is not object of the regarding here.
If the observer measures exactly the angles longitude and latitude of the celestial body at 3 positions to 3 different points of time versus the star background, which serves as a scale, the distance is invisible, but it can be, after above mentioned calculation, calculated the distance to the celestial body from the sun (this is explained in the script). The anglevelocity as well as the change of the anglevelocity delivers the information of the entire orbit of the regarded celestial body. The change of the change of the anglevelocity result from, that it is known, the orbit can only be a conus section line. And this is all described here in the scripts. The invention of the mathematic methods are a great performance of the mankind
It would be certainly possible for a single man, who knows the mathematics, to write a computer program in half a year to get the orbit of a new discovered comet per mouseclick. He can take the observation data from an observatory publication. For study of all the mathematics of orbit calculus I can recommend the book "Grundlagen der Ephemeridenrechnung" by Oliver Montenbruck

last update Dec 18^{th} 2019