Apsis

[Turbinator]

periapsis
apoapsis

perigee
apogee

perihelion
aphelion

pericynthion
apocynthion


Any more?
And what are the proper usages, the helion ones are for sun orbits I know that one.

 

[fredericva]

periapsis
apoapsis

These are the general ones, should go for any celestial body

perigee
apogee

Earth ...

perihelion
aphelion

... Sun ...

pericynthion
apocynthion

... and moon.

Any more?
And what are the proper usages, the helion ones are for sun orbits I know that one.

Try this wikipedia article:
http://en.wikipedia.org/wiki/Apsis#Terminology

 

[Turbinator]

Awesome, that's perfect, just what I needed.

Body Closest approach Farthest approach
General Periapsis/Pericentre Apoapsis
Galaxy Perigalacticon Apogalacticon
Star Periastron Apastron
Black hole Perimelasma/Peribothra/Perinigricon Apomelasma/Apobothra/Aponigricon
Sun Perihelion Aphelion[3]
Mercury Perihermion Apohermion
Venus Pericytherion/Pericytherean/Perikrition Apocytherion/Apocytherean/Apokrition
Earth Perigee Apogee
Moon Periselene/Pericynthion/Perilune Aposelene/Apocynthion/Apolune
Mars Periareion Apoareion
Jupiter Perizene/Perijove Apozene/Apojove
Saturn Perikrone/Perisaturnium Apokrone/Aposaturnium
Uranus Periuranion Apouranion
Neptune Periposeidion Apoposeidion
Pluto Perihadion Apohadion

 

[garyw]

So what terms would you use for extra-solar planets?

 

[Loru]

Periapsis and apoapsis are good enough.

Try with HD 209458 b

ApoHD209458bion?
PeriHD209458bion?

 

[fredericva]

So what terms would you use for extra-solar planets?

I guess they need Greek names to have their own apo/peri-something, otherwise just apo/periapsis will do.

Same for moons of other solar system planets.