User:Bitmode/Example

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Example

The United Kingdom has fully researched the Strategic Destruction air doctrine and Sholto Douglas (air superiority expert) in their high command. 120 tactical bomber 2 based in East Anglia are set to strategic bombing in north-west Germany. They are escorted (air superiority mission) by 200 heavy fighter 2 with 5 upgrades in engines. Germany has fully researched the Battlefield Support air doctrine and Erhard Milch (bomber interception expert) in their high command. A wing of 100 fighter 2 (Messerschmidt designer, with 5 upgrades in engines and 1 in weapons) and a wing of 100 fighter 1 (no upgrades) based in Hannover are set to intercept in north-west Germany.

The UK has no radar coverage and does not control any land in the strategic area, so their detection is based only on their planes. The fighters have a 10% bonus to detection due to the Air Superiority doctrine, but the overall detection is reduced by heavy rain (20%). detection

After occupying Denmark, Germany controls the entire region (+10% detection) and covers half the area with radar (+25% detection). The German fighters have a 15% bonus to detection due to the Forward Interception doctrine. detection.

Because of the rain, the mission efficiency of all wings is reduced by 30% and the older German fighter wing has a penalty of -1.6% due to a slight lack of range. This means only 84 British bombers and 140 heavy fighters can operate, and on the German side 70 fighter 2 and 68 fighter 1.

The British detect 4 enemy fighter 2 and 4 enemy fighter 1 (6% respectively). The Germans detect 28 bombers and 46 heavy fighters. This allows the British to use 24 planes (three times the detected enemy number) in air combat, while Germany can use all 138 of their planes as a result of much better detection.

The effective stats of the heavy fighters are:

  • attack (incl. Sholto Douglas, Dogfighting Experience): 46 * 1.03 * 1.2 = 56.9
  • defense (incl. Sholto Douglas, Dogfighting Experience): 15 * 1.03 * 1.2 = 18.54
  • agility (incl. upgrade, Sholto Douglas, Dogfighting Experience, Multi-Altitude Flighing): 30 * 1.25 * 1.03 * 1.2 * 1.1 = 51
  • speed (incl. upgrade): 550 * 1.1 = 605

The heavy fighters have better air attack and agility than the bombers, so the bomber attack value does not matter:

  • defense (incl. Flying Fortress): 21 * 1.25 = 26.3
  • agility: 25
  • speed: 440

German fighter 1:

  • attack (incl. upgrade, Erhard Milch): 18 * 1.1 * 1.03 = 20.4
  • defense (incl. Erhard Milch): 10 * 1.03 = 10.3
  • agility (incl. Erhard Milch): 50 * 1.03 = 51.5
  • speed: 500

German fighter 2:

  • attack (incl. upgrade, Erhard Milch): 27 * 1.1 * 1.03 = 30.6
  • defense (incl. Erhard Milch): 12 * 1.03 = 12.4
  • agility (incl. Messerschmidt, upgrade, Erhard Milch): 65 * (1.1+0.25-0.05) * 1.03 = 87
  • speed: (incl. Messerschmidt, upgrade): 650 * (1.1+0.1-0.01) = 773.5

The German fighters apply disruption against the bomber wing:

Now the wings split up and fight against the detected enemies

  • 12 heavy fighters attack fighter 1
    • stats multiplier: ((605 - 500)/1500 + (51 - 51.5)/100) * 30% = 2%
    • agility disadvantage: (51.5/51-1) / 1.5 * -0.675 ≈ 0
    • damage = 0.01 * 12 * 56.9 / 10.3 * 102% * 0.1 = 0.068
  • 12 heavy fighters attack fighter 2
    • stats multiplier: ((605 - 773.5)/1500 + (51 - 87)/100) * 30% = -14.2%
    • agility disadvantage: (87/51-1) / 1.5 * -0.675 = -31.8%
    • damage = 0.01 * 12 * 56.9 / 12.4 * 85.8% * 0.1 * 68.2% = 0.032
  • 26.3 fighter 2 attack bombers
    • stats multiplier: ((773.5-440)/1500 + (87 - 25)/100) * 30% = 25.3%
    • damage = 0.01 * 26.3 * 30.6 / 26.3 * 125.3% * 0.1 = 0.038
  • 43.7 fighter 2 attack heavy fighters
    • stats multiplier: ((773.5-605)/1500 + (87 - 51)/100) * 30% = 14.2%
    • damage = 0.01 * 43.7 * 30.6 / 18.54 * 114.2% * 0.1 = 0.082
  • 25.6 fighter 1 attack bombers
    • stats multiplier: ((500-440)/1500 + (51.5 - 25)/100) * 30% = 9.2%
    • damage = 0.01 * 25.6 * 20.4 / 26.3 * 109.2% * 0.1 = 0.022
  • 42.4 fighter 1 attack heavy fighters
    • stats multiplier ((500-605)/1500 + (51.5 - 51)/100) * 30% = -2%
    • damage = 0.01 * 42.4 * 20.4 / 18.54 * 98% * 0.1 = 0.046