Damage that the rats hit you for:
Amarr Empire: 50% Em, 50% Thermal
Angel: 70% Explosive, 20% Kinetic, 10% EM
Blood Raider: 50% EM, 50% Thermal
Caldari State: 50% Kinetic, 50% Thermal
EoM: 75% Kinetic, 25% Thermal
Gallente Federation: 50% Kinetic, 40% Thermal, 10% EM
Gurista: 75% Kinetic, 25% Thermal
Mercenaries: 50% Thermal, 30% Kinetic, 10% Explosive, 10% EM
Minmatar Republic: 50% Explosive, 20% EM, 20% Kinetic, 10% Thermal
Sansha: 50% Em, 50% Thermal
Serpentis: 50% Kinetic, 50% Thermal
Rogue Drones: 70% Explosive, 20% Kinetic, 10% Thermal

Damage types the rats are weak against:
Amarr Empire: EM
Angel: Explosive
Blood Raiders: EM
Caldari State: Kinetic
Gallente Federation: Kinetic
Gurista: Kinetic
Minmatar Republic: Explosive
Rogue Drone: EM
Sansha: EM
Serpentis: Kinetic
Mercenaries: Therma/Kinetic
149,597,870.7Km = 1AU
299,195,741.4Km = 2AU
448,793,612.1Km = 3AU
598,391,482.8Km = 4AU
747,989,353.5Km = 5AU
897,587,224.1Km = 6AU
1,047,185,095Km = 7AU