As others pointed out, some form of orbit is possible so some basic orbital mechanics must be implemented, but given the delta-v ED ships are capable of it can all be blissfully ignored and just fly in a straight by the seat of you pants as we do. No need to bother with Hohmann transfer orbits. My guess is that thy have implemented some really simple model as any detail would be out shadowed so why bother? Correct multi body orbital mechanics is quite tricky to simulate. Orbiter can also consider the mass distribution of ships which can create some interesting effects when docking .... at v < 1m/s as in rel life.
It would be cool if they allowed to perform some pretend-slingshot maneuvers to make supercruising to distant planets more interesting and a a bit qucikcker
Sorry, but there are no orbital mechanics for ships at all. At least not properly accurate ones as defined by Newtons laws of motion.
Orbiting would only work in space normal speed, not in SC, because the effect of the FSD drive warps space and messes with the mass of the ship, which is why we can fly in straight lines in solar systems using FSD in systems. To put the into context for you, Halley's Comet moves at 254,016 km/h and still moves in an elliptical orbit. For a ship in Elite Dangerous to move at 245,016 km/h it would have to be using FSD and therefore not bound to the same laws of physics as it's currently warping space.
Conversely, The delta-v of the ships in Elite when travelling at space normal speed isn't enough to achieve orbit around Earth. If you exit SC next to a planet you're not in orbit and would never be able to achieve orbit, because you simply cannot go fast enough. The Cobra I fly has a max speed of around 406m/s with boost. The delta-v needed to achieve low Earth orbit starts around 9.4 km/s. So, basically, the space shuttle in low Earth orbit would be travelling faster than a Cobra Mk 3 at its highest space normal speed.
So, basically, and put plainly, the "physics" in Elite Dangerous are bunkum!
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