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S-400 is not the silver bullet when it comes to ABM capabilities... Yes it is a lethal SAM, but as ABM it has limitations.
* Target speed above 14 Mach cannot be tracked .
* Target of above 1 square meter can be detected from up to 600 Km. targets less than 1 meter square RCS can only be detected up to 475 Km and closer.
* The maximum range of engagement for an aerodynamic target is 250 KM and for Ballistic targets its 60 Km.
However the Altitude of engagement in both cases is limited to 27 Km as per Manufacturer's website.
Reason being the Missiles need to remain within thick atmosphere to Maneuver . The 250 Km engagement range is only possible if using their longest range 48N6 missile. The 400 Km range 40N6 missile isn't operational yet.
* After the launcher has fired all 4 Missiles, there is a 5 Minute or more Re-Load time.
* S-400 is not Over the Horizon Radar and curvature of earth will limit radar detection ..
At sea level the S-400 radar can only detect objects at 28000 meter altitude at full 600 Km detection range.
Anything lower than that altitude will need to be closer for detection.
For example an object flying at 10,000 meter altitude will only be detected at 370 Km range when S-400 is at sea level. Because beyond that distance at that altitude the object will still be hidden behind curvature of earth and invisible to radar.
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A Pakistani aircraft flying at low altitude of say 1000 meters will only be visible to a Mobile radar, in this case S-400 Radar at 170-200 Km range. If the jet flies lower , the detection range will also be lower (I am not considering supplementary systems such as AWACS here).
At a range of 150-200 Km the Pakistani Jet can fire a standoff weapon(s) and turn back again to hide behind earth's curvature..
here i have considered S-400 Radar height at 200 meters, which is average elevation of Ground in Rajisthan and Indian Punjab.
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In ABM scenario. Say for example the Indians have placed their S-400 Radar at a hill top 1000 meters above sea level (Although i am thinking where will be such a place in the planes of Indian Punjab or Rajisthan?)
Pakistan will most probably launch nuclear missiles from the border areas of South Punjab and Balochistan ,from behind the Sulaiman Mountain range. or Koh Suliman.
In that scenario, the Pakistani Ballistic missile will be already 10,000 meter above sea level after launch before any chance of detection by Indian S-400 or any radar.
At that altitude Ballistic missiles are already accelerated to Mach 4+ and continue accelerating. So boost phase shooting down of Pakistani missiles is not even technically possible.
For ballistic missile target engagement after Re-Entry, it depends on may factors. Mainly the speed and size of Re-entry vehicle or the warhead. Modern Ballistic missiles, even those used by Pakistan, shed most of their components before re-entry and the Much smaller warhead enters the atmosphere. For example a Shaheen III warhead is less than 2 meters tall and less than 75 Cm wide, and has a surface area of about 2 to 2.5 Square meters. The Radar Cross section or RCS of this conical shaped warhead will be the section of the warhead facingthe S-400 radar, and actually reflecting Radar energy towards the antenna, and that can even be one fourth of the total surface area , depending on the aspect. Due to small RCS, detection may not be possible at full 600 Km range. Then the speed after apogee increase to Mach 18 , in case of Ababeel, Shaheen-III , both using the same Warhead(s).
S-400 cannot track objects flying above Mach 14.
(Will add more to the thread later)
Considering the locations they will be positioned in during hostilities, the S-400 has more than adequate ABM capabilities when it comes to dealing with pretty much all ballistic missiles in Pakistan's arsenal.