Moving in a circular motion around a target behaves a bit oddly

Unity Engine
,
1

I want to move in a circular motion around a pivot, and it “kind of” works but it doesnt work perfectly. For some reason every time it runs the agent starts by moving backwards a few steps, why is this? I expect it to walk in a perfect circle around the pivot.

//In Start, I set the pivot and calculate the current angle:

pivotPoint = target.Value.transform.position;

Vector3 initialOffset = transform.position - pivotPoint;
angle = Mathf.Atan2(initialOffset.z, initialOffset.x);

// In Update, I move:

// Update the angle based on time and speed
angle += maxSpeed.Value * Time.deltaTime;

// Calculate the position offset from the pivot
float x = Mathf.Cos(angle) * (radius.Value / 2);
float z = Mathf.Sin(angle) * (radius.Value / 2);

// Set the character's position relative to the pivot
Vector3 newPosition = pivotPoint + new Vector3(x, 0f, z);
Vector3 movementDir = (newPosition - transform.position);
movementDir.y = 0;

// Move
characterController.Move(movementDir* maxSpeed.Value* Time.deltaTime);

Video (after each stop, the state is re-run):
RTNzQ7FiRnPjoNSzyx

2

Somehow I fixed it using this, tbh I am not quite sure what was wrong with the first version, but this works fine:

angle += maxSpeed.Value * Time.deltaTime;

// Calculate the new position based on the updated angle
Vector3 newPosition = new Vector3(Mathf.Cos(angle), 0, Mathf.Sin(angle)) * (radius.Value / 2) + pivotPoint;
Vector3 movementDir = (newPosition - transform.position);
movementDir.y = 0;

// Move
movementController.MoveCharacter(movementDir, maxSpeed.Value);