Improvement on The Dry Ice Reentry Engine

I had proposed the use of dry ice as a second stage reentry rocket fuel due the carbon dioxide's high vapor pressure. The heating of the monopropellant would be done by the casing around the dry ice from the air drag at high speed. I update this idea as such. The casing of the second stage would be Aerospace Grade Aluminum. Beneath this shield would be a heat pump setup. The heat pump would gather the overall heat on the shield and concentrate it on the dry ice container. As a result, even the casing temperature is only hundred degrees Celsius the heat inside the dry ice would be more than a thousand degree Celsius. This approach allows earlier firing of the braking dry ice engine. Additionally, the casing would stay at a much lower temperature and doesn't require expensive heat shields.

The shape of the second stage would be like a delta wing. This increases the air lift which counteracts the gravity. As a result, the second stage with more than 20,000 km/h speed can be slowed down to land safely without needing too much additional weight. Finally, the stage would be catched by the "Catcher in the Fly" I had proposed earlier. This reduces the complex and heavy landing gear on the second rocket stage.