The LM7812 datasheet indicates that a 0.33\$\mu\$F capacitoris required at the input for stability if located an appreciable distance from the input filter. R7 essentially isolates the regulator from the input filter C5. The regulator is oscillating and getting hot.

Add a 0.33V\$\mu\$F capacitor from the regulator input to ground as close the the regulator as possible.

The output capacitor is required to be only 0.1\$\mu\$F. It can be higher to improve transient response to load changes. So the 10\$\mu\$F may be ok.

The LM7812 datasheet indicates that a 0.33\$\mu\$F capacitoris required at the input for stability if located an appreciable distance from the input filter. R7 essentially isolates the regulator from the input filter C5. The regulator is oscillating and getting hot.

Add a 0.33V\$\mu\$F capacitor from the regulator input to ground as close the the regulator as possible.

The output capacitor is required to be only 0.1\$\mu\$F. It can be higher to improve transient response to load changes. So the 10\$\mu\$F may be ok.

Addition from comments: The input to the regulator of 60V will damage the regulator. The 330 ohm resistor will not solve the problem.

There will be an approximately 58V drop accros the regulator, which at 20mA is 1.16 watts of power dissipation. The regulator will still get hot.

You must reduce the input voltage to a reasonable value before the 7812. OR. You can use a switcing regulator to reduce the 60V to 12V.

The LM7812 datasheet indicates that a 0.33\$\mu\$F capacitoris required at the inputy for stability if located an appreciable distance from the input filter. R7 essentially isolates the regulator from the input filter C5. The aregulator is oscillating and getting hot.

Add a 0.33V\$\mu\$F capacitor from the regulator input to ground as close tho the regulator as possible.

The output capacitor is required to be only 0.1\$\mu\$F. It can be higher to improve transient response to load changes. So the 10\$\mu\$F may be ok.

The LM7812 datasheet indicates that a 0.33\$\mu\$F capacitoris required at the input for stability if located an appreciable distance from the input filter. R7 essentially isolates the regulator from the input filter C5. The regulator is oscillating and getting hot.

Add a 0.33V\$\mu\$F capacitor from the regulator input to ground as close the the regulator as possible.

The output capacitor is required to be only 0.1\$\mu\$F. It can be higher to improve transient response to load changes. So the 10\$\mu\$F may be ok.