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STANAG 4355

STANAG 4355 Lieske point mass and five degrees of freedom trajectory models

Developers of artillery and rocket fire control systems and ballistic computers, and the defence manufacturers who must compute trajectories to this model.

STANAG 4355 sets out NATO's Lieske point mass and five degrees of freedom models for computing artillery and rocket trajectories. NATO has not released it publicly; this page describes it from the Czech defence standard that implements it.

Edition
4
Published
2017-09-14

NATO has not released this STANAG publicly. It is NATO UNCLASSIFIED, and organisations that need it obtain it through their national standardization authority.

What it is

STANAG 4355 is the NATO Standardization Agreement on the Lieske modified point mass and five degrees of freedom trajectory models. Edition 4, promulgated in September 2017 under NATO's CNAD, AC/225 NAAG and ICGIF, covers the publication AOP-4355 edition A. Its purpose is to standardise the methods used to simulate and model exterior ballistic trajectories, so that member nations' calculations align with NATO's own and exterior-ballistics and fire-control data can be exchanged between them.

NATO has not released STANAG 4355 or AOP-4355 publicly. This page describes them from a public national implementation, the Czech defence standard ČOS 109001 (4th edition, Praha 2019), which states that it introduces STANAG 4355 edition 4 and AOP-4355 edition A into Czech use. The Czech Republic acceded with one national reservation, fully respected in the ČOS text: compliance with Act No. 213/2011 Coll., the Czech law banning cluster munitions. A national implementation can add reservations of this kind, so treat what follows as the Czech implementation's content, not as NATO's own text.

What the Czech implementation covers

ČOS 109001 sets out the mathematical models used to compute how spin-stabilised projectiles and fin-stabilised rockets fly: a modified point mass model and, where finer accuracy is needed, a five degrees of freedom model, alongside a simpler point-mass-only model for shorter-range work. Shared equations cover gravity, drag, lift, the Magnus effect and the Coriolis effect, and the standard sets out how each is approximated. It extends the same approach to air-dropped cargo pallets, describing five phases of a pallet's motion from the aircraft's cargo floor, down the ramp, through free fall and parachute deployment, to landing.

The standard lists the physical and aerodynamic data a computation needs for each munition type, among them initial velocity, mass, reference diameter, moments of inertia, and the drag, lift, spin-damping and Magnus coefficients. It sets out additional terms for rocket-assisted and base-bleed projectiles, for finned projectiles with centring bands, and for the coordinate conversions a course-correcting fuze needs. It also extends the model to cover munitions guided by GPS, an inertial system or a laser during their guided and terminal flight phases, and it cites STANAG 6022 for the atmospheric data the equations use and ISO 2533-1975 for the standard atmosphere.

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A supplier bound by STANAG 4355 through a contract holds the obtained text through its national authority. In ComplyTrain you record the requirements that apply to you as your own requirements, give each an owner, and keep the evidence that shows you meet them against each one.

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