Is such a system possible?

The HMC rock could exist as a trojan to the gas giant, and looking at its position (assuming it's the object to the right in the first shot) that seems about right.
 
That is a very nice find! It's one of the things I fail to look for on my trips. There are too many little details to check for in every system. :D
 
I suspect Trojans may be far more common than we currently know, simply because they're not obvious from a glance at the system map, so practically no-one is looking for them. I've never looked for them and until I first read the Trojan thread a couple of months ago; I assumed trojanity had been outlawed from the ED universe, based on my observations of Eta Cassiopeia (a system which had two Trojan ELWs in the two previous Elite games, but which now in ED does not). Yet Camulorix's thread proves that the ED stellar forge is capable of creating Trojans.
 
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I was just thinking about this today, why there doesn't seem to be more stuff floating around the Lagrangian points in the game. It's a popular sci fi convention to put stations there.

Well, most of the stations are built as and primarily function as trade outposts, to facilitate trade between space-bound starships and the planet below. Putting a trade installation way out in the middle of nowhere far from any source of actual trade goods makes little sense. Likewise, tourist stations should orbit where there's a nice view of the thing people are coming to visit - the planet below.

Some stations are (ostensibly) military outposts. These too are pretty useless at the Lagrange points, since they're too remote to come to the aid of the planet if the planet is attacked (or to bring the big guns to bear on the planet below if the planet decides to revolt). So those wouldn't be placed at the Lagrange points either.

Your typical sci-fi Lagrange-point station is a city-in-space, a destination in and of itself, which was built mainly to house the surplus population from an overcrowded Earth. But in the ED universe, we have no need for such places. "Natural" Earth-likes are not all that uncommon, and terraforming is relatively cheap, quick and easy, so most people live down on the surface of these planets, or in the vast underground cities on the Industrial and High-Tech planets, rather than in space.

The only stations that would make sense being placed out there are the research facilities - scientists looking for somewhere quiet, far from nasty gravity wells and most of the interrupting travellers and casual visitors, where they can conduct their research in peace.
 
Well, most of the stations are built as and primarily function as trade outposts, to facilitate trade between space-bound starships and the planet below. Putting a trade installation way out in the middle of nowhere far from any source of actual trade goods makes little sense. Likewise, tourist stations should orbit where there's a nice view of the thing people are coming to visit - the planet below.

Some stations are (ostensibly) military outposts. These too are pretty useless at the Lagrange points, since they're too remote to come to the aid of the planet if the planet is attacked (or to bring the big guns to bear on the planet below if the planet decides to revolt). So those wouldn't be placed at the Lagrange points either.

Your typical sci-fi Lagrange-point station is a city-in-space, a destination in and of itself, which was built mainly to house the surplus population from an overcrowded Earth. But in the ED universe, we have no need for such places. "Natural" Earth-likes are not all that uncommon, and terraforming is relatively cheap, quick and easy, so most people live down on the surface of these planets, or in the vast underground cities on the Industrial and High-Tech planets, rather than in space.

The only stations that would make sense being placed out there are the research facilities - scientists looking for somewhere quiet, far from nasty gravity wells and most of the interrupting travellers and casual visitors, where they can conduct their research in peace.

You forgot the mining stations to take advantage of the million or so trojans a planet the size of Jupiter are thought to share an orbit with.

And in real life, military bases tend to be in out of the way spots (until locals start building nearby and complain about jet noise for some reason). Mostly for ease of physical security and to minimize danger to civilians in the event of an accident. A base at L4 or L5 would have the advantage of being close to the protected planet while being away snoopers from the shipping lanes.

Also don't forget that not only do planetary systems around stars have Langrangian points, but also satellites around planets. You could have any of those things you discussed while still being in the relative neighborhood.
 
Well, most of the stations are built as and primarily function as trade outposts, to facilitate trade between space-bound starships and the planet below. Putting a trade installation way out in the middle of nowhere far from any source of actual trade goods makes little sense. Likewise, tourist stations should orbit where there's a nice view of the thing people are coming to visit - the planet below.

George O Smith wrote a series of stories about a station called Venus Equilateral that was stationed in Venus trailing lagrange point to provide a relay system for communication between Earth and Mars when communication was impossible due to solar interference. Lagrange point stations would more likely be scientific and military installation I would suggest.
 
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