I'm very curious, Agni-II has a quite large ratio of length to diameter , why ?
Because the first stage, with a length of 10.5 m, a body diameter of 1.0 m and a weight of around 10,800 kg is similar to that used on the SLV-3, which also serves as an
expendable launch system. The second stage has a length of about 4.8 m, a body diameter of 1.0 m and a weight of around 4,200 kg, with a motor burnout time of about 30 seconds; and the payload section has a length of 3.8 m and a body diameter of 0.8 m and is believed to be carrying a separating 200 kT nuclear warhead that weighs around 500 kg. Additionally, it is now reported that a new solid propellant first stage motor with a diameter of 1.8 m may be used, with the existing Agni-II stages forming the second and third stages.
That events in 1999 (specifcally, the Kargil war) coerced the DRDO into improvising and quickly developing and operationalising the Agni-II missile, that used the new light weight TN weapon, albeit using the old RV-Mk.1- that was designed and optimised for a heavier 1,000 Kg boosted fission payload- is also deductible from old pictures released by the DRDO [Fission weapons are dense and spherical in shape, whereas TN weapons have lower density and elongated in shape yet very high yield to weight ratio].
However, the new, RV, the MRV-Mk.2, is designed with the intent of making use of enlarged payloads, incorporating future anti-ballistic missile counter-measures, and pressurised vessels for about 200 kg. of liquid propellant to serve as High Altitude Motors for propulsion and v correction. At least one variant also uses a set of solid fuelled impulse cartridges for velocity trimming.
It is interesting to note also that most long-range missiles developed by other countries use RVs that are 'passive ballistic mass', implying their accuracy depends on the ability of the missile’s RV-bus to place RV's on precise ballistic trajectories. The Agni-RV Mk.2 on the other hand, is more advanced because it embodies propulsion, navigation and control all the way to the target, occasioning the
Other metrics I could think that, for the sum of its parts, were factored into consideration were: normal force, pitching, drag, static margin and hinge moment.