I'll try to clarify all the moments.
So, lets begin with basics.
You get Honor Contribution Points(CP) for kills and achievements on BG an in world PVP. Each week you will get certain amount of Ranking Points (RP) that depends exponentially of your CP.
The amount of ranking points you need for ranks:
[TH="bgcolor: #113A5E, align: center"][/TH]  
[TH="bgcolor: #112A44, align: center"][/TH]  1  15 HK  [TD="bgcolor: #444455"]Private[/TD]  Tabard 
[TH="bgcolor: #112A44, align: center"][/TH]  2  2000  [TD="bgcolor: #555566"]Corporal[/TD]  Team insignia trinket 
[TH="bgcolor: #112A44, align: center"][/TH]  3  5000  [TD="bgcolor: #444455"]Sergeant[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  4  10000  [TD="bgcolor: #555566"]Master Sergeant[/TD]  Superiorquality necklace 
[TH="bgcolor: #112A44, align: center"][/TH]  5  15000  [TD="bgcolor: #444455"]Sergeant Major[/TD]  Superiorquality bracers 
[TH="bgcolor: #113A5E, align: center"][/TH]  
[TH="bgcolor: #112A44, align: center"][/TH]  6  20000  [TD="bgcolor: #555566"]Knight[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  7  25000  [TD="bgcolor: #444455"]KnightLieutenant[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  8  30000  [TD="bgcolor: #555566"]KnightCaptain[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  9  35000  [TD="bgcolor: #444455"]KnightChampion[/TD]  Battle standard 
[TH="bgcolor: #112A44, align: center"][/TH]  10  40000  [TD="bgcolor: #555566"]Lieutenant Commander[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  11  45000 (1.4%)  [TD="bgcolor: #444455"]Commander[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  12  50000  [TD="bgcolor: #555566"]Marshal[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  13  55000  [TD="bgcolor: #444455"]Field Marshal[/TD] 

[TH="bgcolor: #112A44, align: center"][/TH]  14  60000 (0.1%)  [TD="bgcolor: #555566"]Grand Marshal[/TD] 

Ok. Now, how do we convert our CP to our RP?
So, here's a graph, that is used in RP calculation (it's tested, and it's working
Here's the direct link to imgur
Also, twinstar team organized a Honor Ladder , where you can check you current RP.
So, how you can calculate how much honor you need for next rank?
The formula is simple: Your current RP * 0.8 (decay of 20%) + this week's RP = your current rank.
Example:
For example i'll pick top 1 standing's for Alliance and Horde
Horde's top 1 current RP is 39790
He's decayed RP will be = 39790 *0.8 = 31832.
To get his 10'th rank he'll need 4000031832 = 8168 RP. According to graphic, it's about 8590k CP.
Let's calculate how much CP he'll need for R 11?
4500031832 = 13168 RP. According to graph it's 450000 CP (most likely unreachable).
If we split this on 2 weeks?
Let's say he'll get 230k CP this week. it's 11000 RP.
31832+11000 = 42832 (middle of R10)
Decayed RP: 42832*0.8=34266
45000  34266 =10734 RP. Accordin to graph  around 220  230k CP.
Now, lets try to calculate Alliance's top 1 R12
He's currently R11 with 46258 RP
Decayed RP: 46258*0.8 =37006 RP
50000  37006 = 12994 RP According to Graph  430k CP (most likely unreachable).
So, split on 2 weeks.
Let's say he'll get 230k CP this week. it's 11000 RP.
37006+11000 = 48006 RP.
Decayed RP: 48006*0.8 = 38405 RP.
50000  38405 = 11595 RP. Around 270280k CP.
FAQ:
Q: Is my rank depends on my standing?
A: It only depends on R10  R13 (you need to be in 1.4%) and for R14 (need to be in 0.1%, with server population, most likely just to be 1st standing, if active server side pop > 2000 then there can be 2 R14's).
Q: How much weeks of active honor farming do i need for reaching R13 > R14.
A: Average calculations told us that you'll need at least 8 weeks if you farm 12000 RP each week (320k CP).
If you have any questions fill free to ask me on forum on ingame (Knopochka of Alliance)
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