Here is the full list of all 30 Light of Altair achievements.
Build an Aeroponics Dome
Upgrade a colony to a City
20% of objectives complete
Raise fleet level to Veterans
Raise fleet level to Hardened
10% of objectives complete
Upgrade a colony to Tier 3
Raise fleet level to Experienced
Found a new colony
Upgrade a colony to Tier 1
Upgrade a colony to Tier 2
Build an Atmospheric Converter
Build a Goods Factory
Build a Hyperspace Gate Stabiliser
Build a Government Building
Build a Nuclear Reactor
Upgrade a colony to a MegaCity
Raise fleet level to Dangerous
Raise fleet level to Deadly
Raise fleet level to Elite
Win all missions on Normal difficulty
Win all missions on Hard difficulty
30% of objectives complete
40% of objectives complete
50% of objectives complete
60% of objectives complete
70% of objectives complete
80% of objectives complete
90% of objectives complete
100% of objectives complete