Predicted Trajectory path in Unity3d with gravity

hello, i am a beginner to unity and was wondering how i could project a trajectory path of an object. i want to be able to see the path taken by the object as i slowly increase the velocity so as to reach an orbit of some kind.
i was wanting to make a trajectory path script like sebastian lague's one in his video about making a solar system.


Ive tried to look at his project files but i think these seem to be implemented in a shader of some sort and i dont have the slightest clue on how they work.
Thanks in advance!
Edit: i want to know the trajectory of the planet before actually releasing it.

 

Hi!
You have the script and the video to watch the parameters

 

with a circular path BEZIER Curve

 

Orbit path with math .............

 

Thank you so much! i may try to implement this method to tackle orbital mechanics.

 

thanks for the advice, i think this could work better in another game. Thanks anyways!

 

hmmm i would like it if i knew the trajectory of the object before it's released

 

Hi! i have a problem, the spehre don't stop when touch the Sun ?
Can you help me please, thanks in advance.






using System.Collections;
using System.Collections.Generic;
using UnityEngine;

public class Oribiter : MonoBehaviour
{
// Start is called before the first frame update
public int sphereCount = 1000;
public int maxRadius = 200;
public GameObject [] spheres;
public Material [] mats;
public Material trailMat;
void awake()
{
spheres = new GameObject [sphereCount];


}
void Start()
{

spheres = CreateSpheres(sphereCount,maxRadius);


}
public GameObject[] CreateSpheres(int count, int radius)
// Update is called once per frame
{var sphs = new GameObject [count];
var sphereToCopy = GameObject.CreatePrimitive(PrimitiveType.Sphere);
Rigidbody rb = sphereToCopy.AddComponent<Rigidbody>();
rb.useGravity = false;
for (int i = 0; i < count ; i++)
{
var sp= GameObject.Instantiate(sphereToCopy);
sp.transform.position = this.transform.position+
new Vector3(Random.Range(-maxRadius,maxRadius),
Random.Range(-10,10),
Random.Range(-maxRadius,maxRadius));
sp.transform.localScale *= Random.Range(0.5f,1);
sp.GetComponent<Renderer>().material = mats[Random.Range(0,mats.Length)];
TrailRenderer tr = sp.AddComponent<TrailRenderer>();
tr.time = 1.0f;
tr.startWidth = 0.1f;
tr.endWidth = 0;
tr.material = trailMat;
tr.startColor = new Color (1,1,0,0.1f);
tr.endColor = new Color (0,0,0,0);
spheres = sp;

}
GameObject.Destroy(sphereToCopy);
return spheres;

}
void Update(){
foreach (GameObject s in spheres)
{
Vector3 difference = this.transform.position - s.transform.position;
float dist = difference.magnitude;
Vector3 gravityDirection = difference.normalized;
float gravity = 6.7f * (this.transform.localScale.x * s.transform.localScale.x * 80)/ (dist * dist);
Vector3 gravityVector =(gravityDirection * gravity);
s.transform.GetComponent<Rigidbody>().AddForce(s.transform.forward, ForceMode.Acceleration);
s.transform.GetComponent<Rigidbody>().AddForce(gravityVector, ForceMode.Acceleration);
}
}
}

 

my screen with parameters.