Combat/Aerial Combat

Aerial Combat refer to one of the stage conducted during combat in the game, conducted after detection and before Support Expedition and/or Opening Torpedo Salvo (if condition for them to happen are fulfilled) then display Engagement form.

In Aerial Battle node, after finishing Aerial Combat rundown for the first time, it would then show engagement form and go through the process of Aerial Combat for the second time, with the potential exception of the contact phase.

In Night Battle node, Aerial Combat usually dpes not occur. But in some rare case when Night Battle node can conditionally be turn into Day Battle, the Areial Combat phase would start immidiately at the time without preceeding detection phase.

Note that, unless otherwise specified, all the numerical value in this page are only applicable to player's side.

Fighter Combat
$$\text {Fighter Power} = \sum^\text{All slots} \text{Floor(} \sqrt{\text{Number planes in slot}} \times \text {Plane anti-air stat} + \text{Aircraft Proficiency Bonus} \text{)}$$


 * Fighter planes, and specific Torpedo / Dive / Seaplane bombers with an +AA stat participate in the Fighter Combat.
 * Recon planes (carrier based or seaplane recon) will NOT participate in Fighter Combat.
 * Aircraft Proficiency is factored into Fighter Power on top of the above formula. The exact formula is under investigation.
 * The allied fleet and enemy fleet's Fighter Powers are compared to determine the result of Fighter Combat:
 * EFP: Enemy Fighter Power, FP: Fighter Power. Abbreviated to save space.
 * This calculation does not take into account any anti-air weaponry equipped on ships. Carrier anti-air stat is also not considered.
 * The percentage of planes shot down were originally believed to be applies for both sides' respective outcomes, however it is now under re-checking. If it is true, then for example, securing Air Superiority means allied planes shoot down up to 80% of enemy planes, and the enemy under Air Incapability will shoot down up to 40%.
 * Planes shot down are calculated per slot.
 * As this is applied per slot, 80% of one enemy bomber group can be shot down while a second has 0% shot down.
 * Planes loaded on moderately/heavily damaged carriers can still join this stage of fighter combat.
 * Even if allied planes secure air supremacy, planes can still be lost (up to 10%), and the subsequent anti-air defense stages can eliminate more bombers.
 * If the enemy fleet launches no fighters and any planes are launched from either side, the result defaults to Air Supremacy. If both sides launch no planes, then the rest of the battle is treated the same as if Air Parity was achieved.
 * Contact can't be triggered if it is Air Denial
 * Night Contact can be triggered in most case when it is not Air Denial, however it can't be triggered when it is under Air Parity, with the exception of during PvP or when it i9s a night battle node then it still Night Contact still can be triggered even if it is under Air Parity state.
 * Artillery Spotting can only be triggered with at least Air Superiority.

Contact
Contact takes place during the Aerial Combat phase. It increases bombing damage for all allied bombers. When successful, an image of the squadron performing contact is shown in the opposing fleet's formation indicator, with the text "触接中". Different types of planes have different trigger rates. They are roughly estimated as (if only one is equipped):
 * Trigger conditions:
 * More air control than Air Denial
 * At least one carrier scout plane, seaplane scout, or torpedo bomber equipped.
 * Seaplane bombers, Type 3 Spotter, and Ka-type Autogyros cannot perform contact.
 * It's thought that each carrier scout plane, seaplane scout, and/or torpedo bomber slot equipped is given a chance to trigger contact. Once successful, the bonus applied is chosen at random with weighting preferential towards higher modifiers from all eligible equipped planes.
 * Note that after contact is triggered, it is another random process to decide which plane should be responsible for contact and probability listed here are not relevant to that part.
 * Too few plane in a slot would negatively influence contact trigger rate.
 * There's an hypothesis about contact rate related to LoS.

Contact Trigger Chance
The process that determines whether or not Contact triggers consists of two parts.

Part 1: Contact Trigger
In this part the system merely determines whether Contact triggers at all.

Which plane triggers it hasn't been determined yet.

Each plane has its own "trigger rate", which according to current research is based on the plane's LOS and the size of the slot it's in.

"Trigger Rate" = A x sqrt(slot size)(Provisional approximation formula)

"A" is a function of LOS, with the hypothesis suggesting that A = LOS x (plane type modifier). For Carrier-based Reconnaissance and Reconnaissance Seaplane, the plane type modifier is 0.04. For Torpedo Bombers, the value would be a much smaller value.

The trigger rates of all planes in your fleet are added together to determine the chance for successful Contact.

If it's successful the system proceeds to Stage 2. If it fails then obviously nothing happens.

Part 2: Contact Plane Selection
Now that Part 1 has been successful the system now has to determine which plane is going to trigger Contact. The priority among planes is as follows:
 * Higher Accuracy stats mean higher priority
 * If two or more planes have the same amount of Accuracy, the selection process goes through them from top to bottom.

The system goes through each plane from top to bottom priority until either one is selected or none is. Current data suggests that a plane's selection rate is determined by its LOS stat.

"Selection Rate" = Plane's LOS x 0.07(Provisional approximation formula)

If no plane is selected in the end, then Contact is cancelled and doesn't trigger.

Contact Damage Modifier

 * The damage increase depends on the +accuracy bonus of the squadron performing contact.

Fleet Anti-air Defense
The Fleet Anti-air Defense system was updated on 14 November 2014, alongside the addition of the Anti-air Cut-in system. It was then patched on 26 June 2015 to fix several bugs.

System Mechanics

 * Each enemy bomber slot is assigned at random to a defending ship.
 * Those ships then, for each assigned enemy slot, have two approximately 50% concurrent but independent chances to shoot down enemy planes.
 * The first chance (termed Proportional Air Defense) can shoot down a number proportional to the initial size of the enemy bomber squadron after anti-bomber combat.
 * The second chance (termed Fixed Air Defense) can shoot down a fixed number of enemy bombers determined by stats and equipment only.
 * Simply speaking, There's 25% chance you can trigger both Proportional and Fixed Air Defense, 25% only trigger Proportional, 25% only Fixed, and 25% none of them being triggered, for every slot.
 * Finally, one bomber from each enemy squadron will always be shot down regardless of success or failure of the previous two chances for friendly ships on abyssal. If AACI were committed, then it would also shot down a specific amount of plane per slot according to the AACI's API type.

The numbers of planes shot down are given by the equations below:

$$\text{Proportional Shot Down} = \lfloor\frac{\lfloor 0.9 \times \text{Adjusted AA}\rfloor}{360} \times \text{Plane Count}\rfloor$$

$$\text{Fixed Shot Down} = \lfloor\frac{\lfloor\text{Adjusted AA}+\text{Fleet AA} \rfloor}{10} \rfloor\text{ + S}$$

Notes:

$$\text{Adjusted AA} = \text{Ship Base AA } + \sum^\text{All Slots}\lfloor\text{Equipment Modifier} \times \text{Equipment AA}\rfloor$$

$$\text{Fleet AA} = 2 \times \lfloor\text{ Formation Modifiers} + \sum^\text{All Ships}\text{Ship Bonus on Fleet AA} \rfloor$$

$$\text{Ship Bonus on Fleet AA} = \sum^\text{All Slots} \text{(Equipment Fleet AA Multiplier} \times \text{Equipment AA)}$$

$$\text{Equipment AA = (Equipment Displayed AA Value} + 0.7 \times \sqrt{\bigstar}\text{)}$$

$$\bigstar \text{= Equipment Upgrade}$$

$$\lfloor\ldots\rfloor\text{ mean Floor(}\ldots\text{)}$$

S refer to a supplmentary bonus which would appear when AACI is triggered. This value is not in itself AACI, just a bonus value which would be additional brought in. When it is API type 8 AACI, the S value is 4. The S value would also be influenced by AACI type but it might differ from AACI's effect number.

Combined fleets are suspected to have lowered AA values. Tentatively, for a Surface Task Force, the escort fleet has its AA value reduced to the region of (80/177 to 250/531) ~ 46% of its stated value, while the main fleet has its AA value reduced to the region of (50/63 to 430/531) ~ 80% of its stated value.

Abyssal Anti Air Formula
$$\text{Abyssal Proportional Shot Down} = \lfloor\frac{\lfloor \text{Abyssal Adjusted AA}\rfloor}{400}\times \text{Plane Count}\rfloor$$

$$\text{Abyssal Fixed Shot Down} = \lfloor\frac{\lfloor\text{Abyssal Adjusted AA}+\text{Fleet AA}\rfloor}{10.6} \rfloor$$

$$\text{Abyssal Adjusted AA}=2\times\sqrt{\text{Ship Base AA}}+\sum^\text{All Slots}\lfloor\text{Equipment Modifier}\times\text{Equipment AA}\rfloor$$

$$\text{Abyssal Fleet AA follow same formula as Fleet AA of Friendly Fleet.}$$

Formation Modifiers

 * Modifiers for Combined Fleet Formations are to be investigated.

Equipment Modifiers

 * There may be other types of equipment with modifiers that affect the air defense equations which are not yet known.

Anti-Air Cut-In

 * This section mainly describe the effect of Anti-Air Cut-In. For perspective on how to setup Anti-Air Cut-In, Please read the Anti-Air Cut-In tab in Combat section of the page.

Certain equipment combinations (see below) will provide a chance for an Anti-Air Cut-In (AACI) during the aerial combat. When activated, the cut-in animation (shown on the right) appears before engaging the enemy fighters. However, the effect of an Anti-Air Cut-In does not affect the resulting air control state (AS+, AS, Air Parity or Denial), and calculation wise, it only takes effect after fighters engage bombers in air combat. With an AA Cut-In and a good anti-air composition, it is sometimes possible to obliterate all incoming bombers before they inflict any damage, and even prevent enemy carriers from attacking during the shelling phase (since they have 0 bombers left).

Although several ships can be equipped with an AACI setup in one fleet, only one ship can perform an AACI during the aerial phase. The number of planes shot down is dependent on the ship performing the AACI and their equipment.(as given bellows.) Bringing more AACI capable ships will NOT increase the number of planes shot down via AACI.

Akizuki-class destroyers and Maya Kai-2 have a hidden bonus to certain AA Cut-in setups which increases the effectiveness tremendously.

In PVP Exercises, opposing fleets can do AA Cut-Ins, but the animation is not shown.

Trigger chance of AACI is determined both by the API type as well as the effective AA value of the ship using it. Fleet AA does not affect trigger chances.

Be noted that AACI effects are added on to the regular anti-air fire of your fleet, thus anti air stat of other ships or/and equipment on those ships in your fleet would still matter even if AACI have been activated.

Equipment, API
The following table summarized information known so far about what type of equipment would trigger AACI, trigger rate, and effectiveness.
 * Built-in HA mount mean a single equipment piece that combines a HA Mount with a built-in AAFD. ONLY the following pieces of equipment satisfy this requirement:
 * 10cm Twin High-angle Gun Mount + Anti-Aircraft Fire Director ("Akiguns")
 * 12.7cm High-angle Gun + Anti-Aircraft Fire Director
 * 90mm Single High-angle Gun Mount
 * Only Air Radars so far have been found to satisfy the requirement for a radar. It is not clear if Surface Radars can potentially trigger an AACI if they have an AA stat, though at present there are no such radars in existence.
 * If a ship fulfils multiple requirements, the API which shoots down the most planes per slot will be activated
 * For instance Akizuki with 2 akiguns and a T13K air radar fulfills the requirements of AACI with API values 1, 2, 3, 5, 8 - the only API that will ever trigger is 1.
 * It is impossible for an Akizuki-class to ever trigger API 5 or 8 as any equipment setup that will trigger these will also trigger 1 and 2 respectively, which will override it.
 * If multiple ships fulfill AACI requirements, the one with the highest API number will be triggered first
 * Isuzu Kai Ni's API 14 AACI will override ALL other ships, using her AACI build is strongly discouraged as this will lead to a reduction in AA power.
 * While Akiguns are the most powerful guns Destroyers may equip, non-Akizuki class Destroyers equipped with an API 5 build will override an Akizuki class Destroyer's API 1 AACI; to avoid this, non-Akizuki class Destroyers sortied in the same fleet as Akizuki class Destroyer(s) should never equip Air Radars.

Opening Air Strike

 * Bombers attack ships in this stage
 * But if Detection failed, then this stage would not occur.
 * Each slot's plane would target one ship and attack for one time.
 * $$Damage=\lfloor (\lfloor cap_{150}\{(25 + P\sqrt{N})R\}C_v \rfloor T-A)L \rfloor$$
 * $$P$$ refer to firepower or torpedo value
 * $$N$$ refer to number of plane in the slot
 * $$R$$ is a fixed $$1.0$$ for Dive Bombers, but is a random $$0.8$$ or $$ 1.5 $$ for Torpedo Bombers/
 * The probability for Torpedo Bombers acquiring an $$1.5$$ multiplier in 1-1-A is around 50%
 * $$cap_{150}(x)$$ refer to the attack power cap, see Combat page for detail.
 * $$C_v$$ refer to Critical hit bonus from Aircraft Proficiency system. See Combat page and Aircraft Proficiency for details about its effect and etc.
 * If you bring more proficient planes, the rate to trigger it would increase.
 * With max proficiency Suisei Model 12A on 3 slot of a ship, critical hit rate is around 20%.
 * $$T$$ refer to contact multiplier, $$1.0$$ if contact failed
 * $$A$$ refer to enemy armor, see Combat page for detail.
 * $$L$$ refer to ammo modifier, see Combat page for detail.
 * No effect from engagement/formation/ship health when they launch planes/morale/fatigue on firepower or accuracy.
 * Get boost from Aircraft Proficiency system.
 * Carrier's level and plane's accuracy stat do not affect this stage.
 * Accuracy is around 80% when against those destroyers in 1-1-A.