How to predict orbit based on time?

People usualy work in spherical coordinates to resolve such a system, you only need to use the newton gravitation equation (it is an acceleration expression so you need to integrate it 3 times)

I could not find the right example on the internet at this point.

yeah, I'm using Newton's universal law of gravitation to add a force towards the planet and adding a horizontal (relative to the planets surface) force to make the satellite orbit.

Here's the script that does that:

 public float g = 6.674f * (10^-11);
 private float massSatellite;
 public float massPlanet;
 private float r;
 public GameObject Planet;
 public Rigidbody rbObject;
 public Rigidbody rbPlanet;
 public Vector3 dist;
 private float gravitationalForce;
 public float initialForce;
 private Vector3 gravityOfPlanet;
 public float gravitationalAcceleration;


 void Awake() 
 {
     rbObject = GetComponent<Rigidbody>();
     rbPlanet = Planet.GetComponent<Rigidbody>();

 }

 void Start()
 {
     massPlanet = rbPlanet.mass;
     massSatellite = rbObject.mass;
     rbObject.AddForce (new Vector3 (initialForce, 0, 0), Force$$anonymous$$ode.Impulse);
 }


 

 void FixedUpdate()
 {


     dist = Planet.transform.position - transform.position;
     r = dist.magnitude;
     gravitationalForce = (g * massPlanet * massSatellite) / (r * r);

     rbObject.AddForce(-dist * gravitationalForce); //maybe add Forecemode.acceleration
      

 }

What I would like to do is predict the orbit using a linerenderer and a for loop.

I actually just replaced the initial force with an initial velocity vector if that would make things easier.