Actusreus.
Assuming
1)the stylus drag is constant throughout the LP
2) the TT slows due to stylus drag,
3) speed control is open loop ( maybe)
Then it will naturally increase in speed as it tracks towards the centre grooves.
This is a torque moment effect. On the outer grooves, the drag is acting on a larger radius so it requires more torque from the motor to counteract this.
Assuming
1)the stylus drag is constant throughout the LP
2) the TT slows due to stylus drag,
3) speed control is open loop ( maybe)
Then it will naturally increase in speed as it tracks towards the centre grooves.
This is a torque moment effect. On the outer grooves, the drag is acting on a larger radius so it requires more torque from the motor to counteract this.