K-13R (AA-2D) missile?

From wikipedia:

"While the R-3S was being introduced in 1961, work started on a semi-active radar homing (SARH) version for high-altitude use, the K-13R (R-3R or Object 320) with 8 km range, [...] This version was designated AA-2B by NATO."

"[...]K-13M (R-13M, Object 380) for the IRH and K-13R (R-3R) for the SARH variant [...]These were dubbed Advanced Atoll (AA-2C and AA-2D, respectively)"

So I am unsure about whether the R-3R is AA-2B or AA-2D or what is going on here:D

From wikipedia:

 

"While the R-3S was being introduced in 1961, work started on a semi-active radar homing (SARH) version for high-altitude use, the K-13R (R-3R or Object 320) with 8 km range, [...] This version was designated AA-2B by NATO."

 

"[...]K-13M (R-13M, Object 380) for the IRH and K-13R (R-3R) for the SARH variant [...]These were dubbed Advanced Atoll (AA-2C and AA-2D, respectively)"

 

So I am unsure about whether the R-3R is AA-2B or AA-2D or what is going on here:D

So,

• R-3S(AA-2 Atoll B) -
  
• R-3R (AA-2 Atoll C) - modification for semi-active radar homing
  
• R-13M (K-13M, "Object 380», AA-2 Atoll D) - upgraded version of the R-3. Different form of tail and rudder, more sensitive freon-cooled seeker "Rime-70", new fuze. Designed in 1969. Adopted by January 3, 1974.
  
• R-13M1 ( «Object 380m», AA-2 Atoll D) - upgraded version. It features an increased wing sweep double, new IR Seeker "Rime-M."
  
• K-13VV - simplified version for "wartime" technology
  

Is there a more accurate source somewhere in english?

I have found only this:

http://www.designation-systems.net/non-us/soviet.html#_Listings_AA

This is in according with me except for the R-3S, that here is designated as AA-2 "simple"

So,

• R-3S(AA-2 Atoll B) -
  
• R-3R (AA-2 Atoll C) - modification for semi-active radar homing
  
• R-13M (K-13M, "Object 380», AA-2 Atoll D) - upgraded version of the R-3. Different form of tail and rudder, more sensitive freon-cooled seeker "Rime-70", new fuze. Designed in 1969. Adopted by January 3, 1974.
  
• R-13M1 ( «Object 380m», AA-2 Atoll D) - upgraded version. It features an increased wing sweep double, new IR Seeker "Rime-M."
  
• K-13VV - simplified version for "wartime" technology
  

R-3; K-13; Izdelie 300; AA-2

Izdelie 301 aerodynamic test

Izdelie 302 ballistic test

Izdelie 303 telemetry

Izdelie 304 fuze test

Izdelie 305 homing test

R-3S; K-13T or K-13A; Izdelie 310; AA-2A

Izdelie 312 test

Izdelie 317 drone

AA-2B appears to be the R-3R before the improvements which led to the AA-2C.

R-3R; K-13R; Izdelie 320; AA-2C or AA-2-2C

Iz. 321 aero test

Iz. 322 launch test

Iz. 323 telemetry

Iz. 324 telemetry

R-13M; K-13M Izdelie 380; AA-2D or AA-2-2D

R-13M1; K-13M1; Izdelie 380M; AA-2D or AA-2-2D

R3-U training, R-3P practice, K-13VV simplified test, K-13V high alt. test, RM-3U practice target