Friday, January 6, 2012

Mining Laser Range

A typical high-sec asteroid belt contains ~100 asteroids evenly distributed along a minor arc with a radius of 25 km. The warp-in point  for the asteroid belt is located at a point equidistant from the arc - this would be the center of a circle if the arc were to extend 360 degrees.

A Modulated Strip Miner II (MSMII) has a range of just under 15km. A player would have to move their barge ~10km from the warp-in point to be in range of the asteroids. To avoid having to move into range every time a belt is mined players typically bookmark locations within range and then jump to these bookmarks rather than the warp-in point. This method still requires the player to move their craft one or two more times within the belt to be in range of all the asteroids contained therein. Ideally, a miner wouldn't have to move their craft at all in order to access all of the asteroids in the belt. This can be achieved.

With a Low-Grade Harvest implant set the range of a MSMII can be extended from 15,000 m to 20,074 m

The calculation for the full set is as follows:

total bonus = (1+(set bonus x alpha bonus) x (1+(set bonus x beta bonus) x (1+(set bonus x gamma bonus) x (1+(set bonus x delta bonus) x (1+(set bonus x epsilon bonus)

 = (1+((1.1^5) x 1.25 x 1.01) x  (1+((1.1^5) x 1.25 x 1.02) x  (1+((1.1^5) x 1.25 x 1.03) x  (1+((1.1^5) x 1.25 x 1.04) x  (1+((1.1^5) x 1.25 x 1.05)

= 1.338299872 x

Therefore the Range of the MSMII becomes:

= 15,000 m x 1.338299872 = 20,074 m

These are the stats on the implant set:

Low-grade Harvest Alpha: 1% Bonus to range, 10% bonus to all other Harvest implants. +2 bonus to Perception. (slot1) <28,350 LP, 18,900,000 ISK, Limited Ocular Filter - Beta>
Low-grade Harvest Beta: 2% Bonus to range, 10% bonus to all other Harvest implants. +2 bonus to Memory.(slot2) < 37,800 LP, 25,200,000 ISK, Limited Memory Augmentation - Beta>
Low-grade Harvest Gamma: 3% Bonus to range, 10% bonus to all other Harvest implants. +2 bonus to Willpower.(slot3) <56,700  37,800,000 (Limited Neural Boost - Beta)>
Low-grade Harvest Delta: 4% Bonus to range, 10% bonus to all other Harvest implants. +2 bonus to Intelligence.(slot4) <94,500 LP, 63,000,000 ISK, Limited Cybernetic Subprocessor - Beta)>
Low-grade Harvest Epsilon: 5% Bonus to range, 10% bonus to all other Harvest implants. +2 bonus to Charisma.(slot5) <170,100 LP, 113,400,000 ISK, Limited Social Adaptation Chip - Beta>
Low-grade Harvest Omega: 25% Bonus to all other Harvest implants.(slot6)  <321,300 LP, 214,200,000 ISK, Hardwiring - Inherent Implants 'Highwall' HX-1>

Total Cost = 708,750 LP, 472,500,000 ISK, Implants (~27,000,000 ISK)

The cost of this set makes it inaccessible to most players.
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However, the Orca and Rorqual can also modify your laser range.

These ships can fit a Mining Foreman Link - Mining Laser Field Enhancement II 

On an Orca this module affects mining laser range in the following way:

= (1+((module base modifier x Mining Foreman Mind-link bonus x Warfare Link Specialist bonus x Mining Director bonus x Industrial Command Ship bonus)/100))

= (1+((5.625 x 1.5 x 1.5 x 5 x 1.15)/100))

= 1.727734 x

The extended range for a MSMII is therefore 15,000 m x  1.727734 = 25,916 m

When a Rorqual is in siege mode the module affects mining laser range like so:

= (1+((module base modifier x Mining Foreman Mind-link bonus x Warfare Link Specialist bonus x Mining Director bonus x Capital Industrial Ship bonus)/100))

= (1+((5.625 x 1.5 x 1.5 x 5 x 1.5)/100))

= 1.949218

The  range of a MSMII becomes 15,000 m x 1.949218 = 29,238 m
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If however you are both rich and lucky then you will benefit from both the implant set and either ship.

Implant set and an Orca: 15,000 m x 1.727734 x 1.338299872 = 34,683 m

Implant set and a Rorqual: 15,000 m x  1.949218  x 1.338299872 = 39,129 m

* These calculations take into account the changes made up to Crucible 1.1, Build 329614

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