[X] Plan Parthian Shot
Well, @Daemon Hunter rolled a 66 against a DC of 35 to contact the Alliance, while @NotAlwaysFanfic rolled a 97 against a DC of 50 to contact the Citadel. We've also received ominous contact from the Alliance asking how long we can hold out. I have my fingers crossed that their reserves are either shallow due to being used elsewhere against forces that are far more prepared than they hoped, or are going to be diverted as they become desperately needed elsewhere.Say, do we have any indication about what reserves the Rachni might have to throw at the situation?
I think people are getting a little too caught up in the specific math Simon Jester is bringing up. The ideas are what are important in this.
I'm going to be perfectly honest with you, I know how differential equations work, and I give you my word that I can explain and prove everything that I'm saying if you'll hear me out. I am not bullshitting you here, I'm serious; we are in a situation where small increases in one side's margin of numerical advantage can have large 'rollover' effects on how many ships the other side loses.
If units need time to retarget or down time spent not fighting, and those amounts of time are consistent across your formation
Plus, we're in a space battle, so "ships engaged in a battle are trying to bring harm to the enemy more or less continuously, and are able to switch targets rapidly" are pretty good assumptions.
You're right that ships have to be targeting individual targets, not blindly bombarding an area; I mentioned that repeatedly. But that, too, is a good assumption in this battle. I don't know the full details of our gunners' training regimen, but I'm pretty sure they do not eyeball it. These are weapons of mass destruction, they are not cowboys shooting from the hip.
If reinforcements show up, you press "pause" on the outcome and set up a new differential equations problem.
Speaking roughly, 1618 to 1905 takes us to the era of volley fire by blocks of infantry firing volleys into other blocks of infantry, plus command and control limitations that tended to keep large armies artificially compressed into smaller spaces where a smaller army. That is exactly the kind of situation that promotes the Lanchester Linear Law: lots of effectively unaimed fire at blocks of men that then take casualties roughly proportionate to their density on the ground.
Honestly I'd expect the Lanchester Square Law to be a better model of ancient fighting with melee weapons than of Napoleonic musketeers.
It's like, yes, obviously, there are combat situations that the Lanchester Square Law doesn't model. Or where you can't model an entire battle that way because what actually happened was a series of separate engagements, which would in any good differential-equations model require you to stop after each engagement and begin again in the new one with new parameters.
I am not expressing blind zombie idiot faith in the Lanchester Square Law. Sometimes the Lanchester Linear Law applies. Sometimes a hybrid (something like a 1.5th power law) applies, because a mix of blind-fire and direct aimed fire are being used. Sometimes combat, even in the moment of the combat itself, is too weird to be modeled by any reasonably straightforward set of differential equations.
This is not mysticism or worship.
But the specific context of our space battles is almost ideally suited for the Lanchester Square Law, inasmuch as both fleets consist of a collection of point targets firing at each other in the midst of a huge expanse of vacuum.
Over a week-long land battle, this is very likely to be correct. In the kinds of fighting we're dealing with right here? So far, probably going to apply.
It's like, if you point to a two week period during which large groups of soldiers clashed on and off across a 100-mile area as one big engagement to be modeled with a single one-step calculation using the Lanchester Square Law, yes you are going to get a bad fit. This is sort of like how you will get a bad fit for the laws of motion describing an ideal projectile flying through the air on a ballistic path, if you throw the ball into a tornado.
None of that invalidates the point that, as @Kinruush pointed out, when large groups ARE directly engaged in combat and firing on each other and are in fact all capable of directly targeting the enemy, which describes the exact scenario we now find ourselves in, concentration of fire into a killzone that the enemy occupies is a very effective way of finishing them off rapidly, before they can return fire to good effect and freeing up the forces manning the killzone to go do something else. Which is my point.
and then say that the laws don't apply to any war between 1618 and 1905. Like I said, you've really hyped up the cross-applicability of the laws, and now you're saying that they practically don't apply to any conflict thus tested.The Lanchester laws do cover things like infantry combat between men with rifles, though- and there are actually a lot of details involved in rifle infantry combat in real life.
I'm trying to explicitly walk this back from detailed discussion of the Lanchester Laws. Because originally, I brought them up as an underlying reason why "outnumbering the enemy is powerful, and increasing your numerical superiority at the point of contact can have disproportionate positive effects." And to caution us that a big enough enemy force may well roll over a small force of our own while staying intact, taking very limited losses and maybe even inflicting disproportionate casualties on us.Guys seriously cut it out. Your starting to derail the thread with this topic. If you want to keep talking about it take it to PM.
Wait, what? They're not going to just die off from being near a fight. If they go help at MS, where we already have an advantage, then fewer total ships on our side will die at MS. That's inarguable.But at a single point where we can possibly apply numerical superiority - AB-MS Relay - we can't apply enough of it.
Like, reserve right now has 6% of Explorer Corps and 8% and 14% of two Raiding fleets. That's not combat effective by any measure, and if we commit these scraps, they would remain not combat effective, in addition to whatever further reinforcements arriving too being not combat effective.
There's a good reason why in history of warfare people tended to amass reserves before going on offensive rather than throwing formations into attack as soon as they arrived to the front.
Thus, unless we want to lose disproportionate number of ships in comparison to additional Rachni ships taken out, committing reserves right now is not the most sound of moves.
Wait, what? They're not going to just die off from being near a fight. If they go help at MS, where we already have an advantage, then fewer total ships on our side will die at MS. That's inarguable.
I have literally never claimed it would make a major difference. The point is that small positive benefits now can have knock-on effects down the road, and we're weighing that against the possibility that there'll be a better time to intervene with a slightly larger force later.These reserves are, right now, a mess made out of scraps of three different formations. Expecting it to make a big positive difference is optimistic to the extreme.
Again, as per Poptart, if the reinforcements are sent to the MS-AB relay, they'll help counter any potential rushes the rachni make on the picket sphere. When I said, "They're not going to just die off from being near a fight" I mean that they do not magically suffer losses from being involved. The rachni do not get extra guns to fire just because there are more potential targets, and the reinforcements are not going to be involved in a way that makes the force there less effective. They aren't just going to be damage sponges or something. We will be a little more capable of handling whatever the rachni decide to do in response to the picket sphere.And if they're going to affect the fight in some way, they wouldn't be "near" a fight. They would engage the Rachni, and due to these reserves being a mess they would suffer higher losses than properly integrated into formation 2nd Battle fleet.
Except we're already locked in combat. We don't have a choice about whether or not to commit to battle. All our relevant combat formations are already in battle, and cannot disengage. We won't have enough reinforcements to constitute a relevant reserve fleet on the scale of what we're dealing with for days, and by that point we'll already be losing the overall battle.But at a single point where we can possibly apply numerical superiority - AB-MS Relay - we can't apply enough of it.
Like, reserve right now has 6% of Explorer Corps and 8% and 14% of two Raiding fleets. That's not combat effective by any measure, and if we commit these scraps, they would remain not combat effective, in addition to whatever further reinforcements arriving too being not combat effective.
There's a good reason why in history of warfare people tended to amass reserves before going on offensive rather than throwing formations into attack as soon as they arrived to the front.
@PoptartProdigy , is this true?Furthermore, we have witnessed Rachni fleets containing battlecruisers. As far as I'm aware, our Battle Fleets don't make use of them, as they're relatively vulnerable in slugging-out Relay battles.