APP are typically relatively thin slightly conical disks of high-strengh material (high speed of sound and shock-resistance, berilium, diamond) coated by layer of ablative material from one side. The disk is ejected into space at low speed roughly in direction toward target and than accelerated by irradiation of the abblation layer with intense laser beam (typically pulsed laser). The exact flight direction is adjusted by asymmetric irradiation (typically within few milliradians), while the conical shape helps to make this steering more stable and efficient. The acceleration path may be very long (~1000km) - being limited only by divergence and accuracy of the irradiation laser.
The acceleration is limited by power and homogenity of laser as well as strenght and speed of sound in the material, since inhomogeneous irradiation would cause that one element of disk accelerates faster than the rest, and material strenght of the dist should be sufficient to distribute these force over the whole disk. Shock waves created during ablation may also lead to deatachment of ablation layer. To minimized these stresses the mass profile of disk as well ablation layer typically follows intensity profile of irradiationg laser beam, which is usually gaussian (i.e. in centre it is much thicker).
After projectile is accelerated, it should be preferably rotated by edge toward the enemy in order to minimize frontal crossection and to provide grazing-incidence angle versus enemy close defence lasers. This operation is however very difficult to achieve since
Acceleration of projectile by railgun to high velocity requires extremely long accelerator lines and magnetic fields. Since projectile is effectively acclerated just by short element of the whole line at any given line, power-density of these acceleartion lines is rather low (dead mass). Abblation accelerated projectiles are attempt to overcome these shortomings of railguns and to allow efficient solid-shot projectiles also for lighter ships.
Already in 20th century optical instruments such as microscopes and astronomical telescopes achieved such engineering perfection that their capabilities are limited only by fundamental laws of physics - namely by difraction due to wave nature of light. We call these instruments diffraction-limmited systems. This means that analysis of perforamnce of laser weapons can be done using simple physical consideration, and that conclusions following from this analysis will be valid even in far future irrespective to technological development (unless we find some other fundamental laws of physics). From point of view of diffraction-limited systems the minimal size of spot $d$ to which we can focus a laser using telescope of aperture $A$ (i.e. diameter of main mirror) is given by wavelength $\lambda$ and distance $z$ as $L \lambda= A d$. For practical purpose in spacecombat context it is most convenient substitue $\lambda$ in $[10^{-6}m=\mu m]$ and L in $10^{+6}m = 1000 km$ while $A$ and $d$ are in meters.
NOTE: This formula holds in the same manner for all diffraction limited systems, both for passive telescopes as well for active lasers and LIDARs (laser radars). This actually means that what you see, you can hit. For example, if you are able to distinguish a spot 3m spot on moon using 100m telescope in visible light, you are also able to focus visible laser on that spot.
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from py import difraction_limit; difraction_limit.main()
main limitation for use of solid-projectile based weapons such as railguns is the time of flight of projectile to target, which allows target to change its trajectory (=>position) in unpredicable way. Therefore the effective range of solid projectires is primarily determined by competion between muzzle velocity of the projectile and maximum acceleration of target (including accleration in inner manuevers if relevant)
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from py import maneuveringTarget; maneuveringTarget.r_target_min=5.0; maneuveringTarget.r_target_max=300.0;
%pylab inline
pylab.rcParams['figure.figsize'] = (10, 6)
maneuveringTarget.main();
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