Start() Error In Powershell (Starting a Shortcut) - powershell

Question

I have created a Powershell script to do a timed restart on my server. This is a snippet of my code and more specifically the startServers Function.
I have added the global variables into the function in an effort to have an example.
Basically each server name is the name of a shortcut that starts an exe in a separate directory. The names are exactly that and have no .lnk after (I have tried both ways).
The aff array is for processor affinity.
This script should:
For Each Server
Create a New Sysem Diag Process with start info
Start the process
Set affinity
This is not the case: I get an error revolving around the "arg0" and it not being able to start the process. I suppose if anyone has some further explanation of what is going on with args0 and what it is would be helpful.
Code Snippet:
function startServers
{
#Added For Example Purposes
$servers = #( "public", "private" )
$aff = #( 196, 56 )
#End
$i = 0
foreach($s in $servers)
{
$app_name = "$s"
$a = $aff[$i]
$app_arguments = "arg0"
$pinfo = New-Object System.Diagnostics.ProcessStartInfo
$pinfo.Arguments = $app_arguments
$pinfo.FileName = $app_name
$p = New-Object System.Diagnostics.Process
$p.StartInfo = $pinfo
$p.Start()
$p.ProcessorAffinity=$a
$i = $i + 1
#Start "$s"
Write-Output "Starting $s"
}
}

Answer 1

function startServers {
$i = 0
$global:pids = #( )
foreach($s in $servers)
{
$a = $aff[$i]
$Starter = Start-Process -FilePath $s -WindowStyle Minimized -PassThru
$Process = Get-Process -Id $Starter.ID
$global:pids += $Process.ID
$Process.ProcessorAffinity = $a
$CurrentTime = updateTime
Write-Output "Starting $s at $CurrentTime"
$i = $i + 1
Start-Sleep -s 10
}
return
}
This is how I ended up solving the problem. I switched over to tracking the process by PID.
I used -PassThru on my Start-Process and I made it a variable.
I then made a variable that would hold the PID after it was started called Process.
Then you do the basic $foo.ProcessorAffinity = foo and you get your result.