One option that doesn't seem to be mentioned is the used of beamed energy such as laser (visible or infra-red spectrum) which provide energy directly to a rocket.<p>This might be used in a secondary process (e.g., ion or plasma generators) or directly (heating atmosphere and/or fuel) to generate thrust.<p>The advantage is that the power source is on the ground, and need not be lofted, which removes part of the rocket-equation limit. It's still required to source or carry <i>reaction</i> mass, and I'd suggest that at least a fair portion of that be obtained within the atmosphere.<p>I don't know what a launch trajectory would look like, though I suspect something which went relatively slowly vertical (to minimise low-elevation drag), then began a hybrid lifting-ballistic flight at the highest possible levels of the atmosphere, powered by a planet-ringing set of laser stations, and acquiring reaction mass from the atmosphere itself, <i>might</i> be within the realm of reason?<p>It also strikes me that a world with sufficient mass would tend to retain hydrogen gas itself (though that would still likely react with oxygen to form water vapour), but at higher elevations there might be a significant differential fraction of H2 to other atmospheric components. Root mean squared velocity of H2 at 27 C (300 K) is about 7,000 kph (~4,300 mph).[1]<p>That's already less than Earth's escape velocity, so the problem is the molecules which have <i>higher</i> velocity that "boil off" into space.[2] I don't have the chops to compute this.<p>But a laser-pumped mesospheric hydrogen ramjet rocket might be able to take advantage of highly-energised (heated or ionised) hydrogen to gain escape velocity on even a significantly larger Super-Earth.<p>________________________________<p>Notes:<p>1. <<a href="https://chem.libretexts.org/Bookshelves/General_Chemistry/ChemPRIME_(Moore_et_al.)/09%3A_Gases/9.15%3A_Kinetic_Theory_of_Gases-_Molecular_Speeds" rel="nofollow noreferrer">https://chem.libretexts.org/Bookshelves/General_Chemistry/Ch...</a>><p>2. Earth has lost roughly 25% of its primordial hydrogen (and water) by this mechanism. <<a href="https://sciencenordic.com/chemistry-climate-denmark/the-earth-has-lost-a-quarter-of-its-water/1462713" rel="nofollow noreferrer">https://sciencenordic.com/chemistry-climate-denmark/the-eart...</a>>