Eötvös effect: calculation - Guide - UNITAF Force Manual (FM)




Eötvös effect: calculation



Current Version (650 days ago)

FM/BG-578.V1.04 - Eötvös effect: calculation

Equation

Calculating vertical Coriolis deflection (or the Eötvös effect) is an almost identical process to calculating for horizontal Coriolis. We will need to know:

  • The latitude of our position
  • Our compass bearing
  • The time of flight for our bullet 

cos(latitude°) * sin(azimuth°) * (Time of flight in seconds) * .072 = Vertical deflection in MRADs

Where:

  • positive outputs =  higher point of impact
  • negative outputs =  lower point of impact

 

Data collection

Time of flight can be found in the ATragMX under the “RC” button in the top right of the screen or derived in an online ballistics program. As the ATragMX suite is not available in situations where manual ballistics are relevant, time of flight information should be recorded prior to operation start.

 

Bearing can be determined by aligning the in-game compass with the target.

 

Map latitude in Arma 3 does not always correlate with real word locations, rather this information is manually populated by map makers and is persistent for an entire map. Latitudes for common UNITAF campaigns are listed below:

UNITAF CampaignMap NameLatitude
Operation Black FlagTakistan, Takistan Mountains35°
Operation DeadlockLingor v3.9.5-4°
Operation EvergladeRosche, Germany (2.0)53°
Operation EverymanArmavir44°
Operation Fault LineLythium34°
Operation FulcrumUzbin Valley34°
Operation Guardian AngelIsland Panthera46°
Operation HetmanLivonia54°
Operation HoneybadgerReshmaan Province35°
Operation PolarisAltis40°
Operaton QuantumKingdom of Regero39°
Operation Steadfast ResolveG.O.S. Al Rayak36°
Operation Valiant GuardianBeketov55°

 

Calculation example

Sgt McShooty is deployed as an SF Spotter on a Honeybadger. He ranges his HVT at 900m, a shot that will have a time of flight of 1.8s. Needing to guarantee shot placement, he measures the target azimuth at 90°:

cos(35°) * (sin(90°) * (1.8s) * .072 = .11 MRADs

Because the output is a negative value, the bullet will impact .11 MRADs higher due to the Eötvös Effect.

 

Equation limitations

This equation will serve well under all conditions and the very small degree of inherent error will not impede operations in either target rich or high value target environments.

Published by Sgt Jochem on 05/07/2024 at 21:28
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