Voltage drop across ballest resistor

The voltage drop doesn't vary with system heat. It varies according to which ballast resistor you have. Some are .8 ohms, some are 1.5 etc. The higher the resistance, the more voltage drop. If you know the resistance value of your resistor, you can use ohm's law to calculate your voltage drop.

You need to read what I posted LOL

The resistance changes with applied voltage AND CURRENT through the ballast. Without knowing the temperature/ resistance/ current curve, you cannot calculate it The stated resistance is cold.