linear acceleration

Assets/Scripts/Planemovement.cs

@@ -7,6 +7,8 @@ public class Planemovement : MonoBehaviour
     //bool toggle = true;
     int cnt = 0;
     double beta = 0.5f; // v/c
+    Vector3 alpha = new Vector3(0.1f, 0.0f, 0.0f); // proper acceleration
+    Vector3 v;
     // Start is called before the first frame update
 
     public GameObject theobject;
@@ -17,6 +19,7 @@ public class Planemovement : MonoBehaviour
         Renderer r = theobject.GetComponent<Renderer>();
         //Color materialColor = r.material.color;
         r.material.color = Color.blue;
+        v = new Vector3(0.0f, 0.0f, 0.0f);
     }
 
     // Update is called once per frame
@@ -36,7 +39,13 @@ public class Planemovement : MonoBehaviour
         //transform.Translate(0.5f*Vector3.forward * Mathf.Cos(2*Mathf.PI*cnt/480) * Time.fixedDeltaTime, Space.World);
         //transform.Translate(0.5f*Vector3.left * Mathf.Sin(2 * Mathf.PI * cnt / 480) * Time.fixedDeltaTime, Space.World);
 
-        var v = (float)beta * Vector3.forward * Mathf.Cos(2 * Mathf.PI * cnt / 480) + (float)beta * Vector3.left * Mathf.Sin(2 * Mathf.PI * cnt / 480);
+        //var v = (float)beta * Vector3.forward * Mathf.Cos(2 * Mathf.PI * cnt / 480) + (float)beta * Vector3.left * Mathf.Sin(2 * Mathf.PI * cnt / 480);
+        
+        v = alpha.normalized * (alpha.magnitude * Time.time / Mathf.Sqrt(1.0f+(alpha.magnitude * Time.time)*(alpha.magnitude * Time.time)));
+
+        Debug.Log(v.ToString("F6"));
+
+        beta = v.magnitude / 1.0f;
 
         double gamma = 1.0f / Mathf.Sqrt(1.0f - (float)(beta*beta));