Cavalry formations and tactics
The Byzantine cavalrymen and their horses were superbly trained and capable of performing complex maneuvres on the drill field and the battlefield alike. While a proportion of the Cataphrats (Kataphractos or Clibanophori) appear to have been lancers or archers only, most had both bows and lances and were equally deadly with either. Their main tactical unit was the Numerus (Also called at times Arithmos or Banda) of 300-400 men. The equivalent to the old Roman Cohort or the modern Battalion, the Numeri were usually formed in lines 8 to 10 ranks deep, making them almost a mounted Phalanx. The Byzantines recognized that this formation was less flexable and more cumbersome for cavalry than infantry, but found the trade off to be acceptable in exchange for the greater physical and psychological advantages offered by depth.
As with the infantry, the Cataphracts adapted their tactics and equipment in relation to which enemy they were figthting. But in the standard deployment, four Numeri would be placed around the infantry lines. One on each flank with one on the right rear and another on the left rear. Thus the cavalry Numeri were not only the flank protection and envelopement elements, but the main reserve and rear guard as well.
The Byzantines usually preferred using the cavalry for flanking and envelopement attacks, instead of frontal assaults, and almost always preceded and supported their charges with arrow fire. The front ranks of the numeri would draw bows and open up on the enemy's front ranks, then once the foe had been sufficiently weakened, they would draw their lances and charge. The back ranks would follow, drawing their bows and firing ahead as they rode. This highly effective combination of missile fire with shock action, put their opponents at a dangerous disadvantage- If they closed ranks to better resist the charging lances, they would make themselves more vulnerable to the bows' fire, but if they spread out to avoid the arrows, then the lancers would have a much easier job of breaking their thinned ranks. Many times the arrow fire and start of a charge were enough to cause the enemy to run or rout without the need to close or melee.
A favorite tactic when confronted by a strong enemy cavalry force, involved a feigned retreat and ambush. The Numeri on the flanks would charge at the enemy horsemen, then draw their bows, turn around and fire as they withdrew (the Parthian Shot). If the enemy horse did not immediately give them chase, they would continue harassing them with arrows until they did. Meanwhile the Numeri on the left and right rear would be drawn up in their standard formation facing the flanks and ready to attack the pursuing enemy as they crossed their lines. The foes would be forced to stop and fight this new unexpected threat, but as they did so, the flanking Numeri would halt their retreat, turn around and charge at full speed, lances at the ready, into their former pursuers. The enemy, weakened, winded and now caught in a vice between two mounted phalanxes, would break, with the Numeri they once pursued now chasing them. Then the rear Numeri, who had ambushed the enemy horse, would move up and attack the now unprotected flanks in a double envelopement. This tactic is similar to what Julius Caesar did at Pharsalus in 48 BC when his allied cavalry acted as bait to lure the superior horse of Pompey into an ambush by the six elite cohorts of his reserve "Forth line". The Arab and Mongol cavalries would also use variations of it later to great effect, when confronted by larger and more heavily armed mounted foes.
When the Byzantines had to make a frontal assault against a strong infantry position, the wedge was their preferred formation for charges. The Cataphract Numerus formed a wedge of around 400 men in 8 to 10 progressively larger ranks. The first three ranks were armed with lances and bows, the remainder with lance and shield. The first rank consisted of 25 soldiers, the second of 30, the third of 35 and the remainder of 40, 50, 60 ect. adding ten men per rank. When charging the enemy, the first three ranks fired arrows to create a gap in the enemy's formation then at about 100 to 200 meters distance from the foe, the first ranks shifted to their kontarion lances, charging the line at full speed followed by the remainder of the battalion. Often these charges ended with the enemy infantry routing, at this point infantry would advance to secure the area and allow the cavalry to briefly rest and reorganize themselves.
When facing opponents, such as the Vandals or the Avars with strong heavy cavalry, the cavalry were deployed behind the heavy infantry who were sent ahead to engage the enemy. The infantry would attempt to open a gap in the the enemy formation for the cavalry to charge through.