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User:Naya ryo/Turret tracking visualization: Difference between revisions

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Naya ryo (talk | contribs)
Fixed the spelling and update the description of first set of comparison figures.
Naya ryo (talk | contribs)
m Update todo.
 
(8 intermediate revisions by the same user not shown)
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Any suggestion is highly appreciated!
Any suggestion is highly appreciated!


Widget will be available on github or something...
TODO :
* Widget will be available on github or something...
* Need to explain more on how to interpret the figure.
* Add examples for orbiting objects.
* Explain the intuition of the figure (use the images from the discord discussion thread), before explaining the formula.
 
 


'''Note:''' On this page, the terms "''orbiting speed''" and "''orbiting velocity''" are used interchangeably. They both refer to the target’s movement speed along its orbital path. Also, the term "''stationary''" is used instead of "''static''" to more accurately describe ships that are not moving.
'''Note:''' On this page, the terms "''orbiting speed''" and "''orbiting velocity''" are used interchangeably. They both refer to the target’s movement speed along its orbital path. Also, the term "''stationary''" is used instead of "''static''" to more accurately describe ships that are not moving.
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:<math> \displaystyle \text{Chance to hit} = 0.5^{\displaystyle \left( \left( \frac{\text{Angular} \times 40,000 \text{ m}}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)} </math>
:<math> \displaystyle \text{Chance to hit} = 0.5^{\displaystyle \left( \left( \frac{\text{Angular} \times 40,000 \text{ m}}{\text{Tracking} \times \text{Signature}} \right)^2 + \left(\frac{\max(0,\ \text{Distance} - \text{Optimal})}{\text{Falloff}} \right)^2\right)} </math>
[[File:Turret tracking visualization.png|thumb|alt=The heatmap of hit chance, from a stationary 200mm Autocannon I without any ammo or skill, tracking an orbiting object at a distance of 5000 meter and 1380m/s speed, is 60.55%.|The heatmap of hit chance, from a stationary attacker, tracking an orbiting object. <br>
Note that the orbiting velocity (orange arrow arc) lies within the yellow area of the heatmap, which represents mediocre hit chance.]]




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This term shows that hit chance decreases the further the target is beyond optimal range. This relationship can be visualized along a 1D axis.
This term shows that hit chance decreases the further the target is beyond optimal range. This relationship can be visualized along a 1D axis.
[[File:Turret tracking visualization.png|thumb|alt=The heatmap of hit chance, from a stationary 200mm Autocannon I without any ammo or skill, tracking an orbiting object at a distance of 5000 meter and 1380m/s speed, is 60.55%.|The heatmap of hit chance, from a stationary attacker, tracking an orbiting object. <br>
Note that the orbiting velocity (orange arrow arc) lies within the yellow area of the heatmap, which represents mediocre hit chance.]]




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<!-- Thank you for the suggestion, I'll fix it :D -->
<!-- Thank you for the suggestion, I'll fix it :D -->


Different turret types have different property. The following three figures shows the property of each turrets, when targeting against a stationary object of 100 signature radius at 5000m distance.
Different turret types have different property. The following visualizations demonstrate how turret performance is affected by weapon type, weapon size, and target signature radius, using consistent conditions: a stationary target at 5000 meters and 100 signature radius unless otherwise specified.
 
''Note: the profile of turrets do not account for any character skills, ship hull bonuses, modules, or ammunition effects.''
 


For example, autocannons have a very short optimal range and long falloff, thus having a bigger yellow to orange area. Pulse lasers have long optimal and short falloff, and the worst tracking, which results in long but narrow cone of green area. Blasters have the best tracking but worst range, showed by the short and wide cone.
* Autocannons have a very short optimal range and long falloff, thus having a bigger yellow to orange area.  
* Pulse lasers have long optimal and short falloff, and the worst tracking, which results in long but narrow cone of green area.  
* Blasters have the best tracking but worst range, showed by the short and wide cone.
<div style="display: flex; flex-wrap: wrap;">
<div style="display: flex; flex-wrap: wrap;">
<div>[[File:Turret tracking visualization small autocannon vs static.png|thumb|Small autocannon v.s. stationary object]]</div>
<div>[[File:Turret tracking visualization small autocannon vs static.png|thumb|Small autocannon v.s. stationary object]]</div>
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</div>
</div>


{| class="wikitable"
|+Table for different signatures
|-
!
[[File:Turret tracking visualization small autocannon vs static.png|thumb|Small autocannon v.s. 100 sig static object]]
!
[[File:Turret tracking visualization small autocannon vs static shuttle.png|thumb|Small autocannon v.s. static Amarr shuttle]]
!
[[File:Turret tracking visualization small autocannon vs static praxis.png|thumb|Small autocannon v.s. static Praxis battleship]]
|}


{| class="wikitable"
* Base case (small autocannon).
|+Table for same weapon category
* Small artillery turrets, with longer optimal range but poorer tracking compare to the autocannons, show narrow firing arcs.
|-
* Medium autocannons extend the falloff range by a decent amount, inheriting the long yellow to orange profile of the small variant, but with greatly decreased tracking.
!
 
[[File:Turret tracking visualization small autocannon vs static.png|thumb|Small autocannon v.s. 100 sig static object]]
<div style="display: flex; flex-wrap: wrap;">
!
  <div>[[File:Turret tracking visualization small autocannon vs static.png|thumb|Small autocannon v.s. stationary object]]</div>
[[File:Turret tracking visualization small artillery vs static object.png|thumb|Small artillery v.s. 100 sig static object]]
  <div>[[File:Turret tracking visualization small artillery vs static object.png|thumb|Small artillery v.s. stationary object]]</div>
!
  <div>[[File:Turret tracking visualization medium autocannon vs static object.png|thumb|Medium autocannon v.s. stationary object]]</div>
[[File:Turret tracking visualization medium autocannon vs static object.png|thumb|Medium autocannon v.s. 100 sig static object]]
</div>
|}
 
 
* Small autocannon against default 100m signature object.
* Small autocannon against Amarr shuttle (25m signature).
* Small autocannon against Praxis battleship (465m signature).
 
<div style="display: flex; flex-wrap: wrap;">
  <div>[[File:Turret tracking visualization small autocannon vs static.png|thumb|Small autocannon v.s. stationary object]]</div>
  <div>[[File:Turret tracking visualization small autocannon vs static shuttle.png|thumb|Small autocannon v.s. stationary Amarr shuttle]]</div>
  <div>[[File:Turret tracking visualization small autocannon vs static praxis.png|thumb|Small autocannon v.s. stationary Praxis battleship]]</div>
</div>


== Title 3 ==
== Title 3 ==