Eclipse comes with differents configurations but there is always the same "eclipse" as core application. They are the same Eclipse with differents collections of plugins that you can install, remove and update trough the package manager integrated in Eclipse itself.
That's why you can't find the Eclipse you want with an apt package manager.
You also do not need to install eclipse or java ( the .bin version from the Oracle website ), they can be unpacked in a local folder, for example you can unpack this two in your home folder and then add the
-vm option to the
eclipse.ini or launch eclipse with the
-vm option, example:
\local\path\to\eclipse -vm \local\path\to\the\java\machine\used_by_eclipse