
To reach the sun, you'd need to cancel out all of Earth's orbital speed (averaging at 29.78 km/s that's a lot of delta-v), or utilise some clever cosmic billiards to reverse slingshot your velocity down low enough to spend the last of your fuel on the last few hundred m/s needed to deorbit into the sun. Not worth it, even if you could make fusion powered ships.
You could just launch your rubbish into a nice long suborbital ballistic trajectory and let it burn up like that. An incinerator would always be safer, and I expect a lot more efficient than using a Starship as a garbage scow.
( , Fri 3 Jul 2020, 22:19, Reply)