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I don't have an exact ethological answer as I'm not knowledgeable with hawk behaviour. But with some basic knowledge of physiology and tactical analysis I can give you a "common sense" answer.
Many avian species have the ability of synchronized flight. A result of a combination of evolutionary traits such as physical dexterity, acute vision, and fast neuron connections between the two.
Similar to two people dancing, many of the movements are practiced but often improvised. One person leads while the other reacts accordingly. But bird brains are much more specialized for the activity.
It takes practice (birds practice every day), and eventually "muscle memory" removes the need for conscious processing between eye and muscle. A direct connection between the two brain functions is created, making the movements of the two seem almost instantaneous. Human visual processing is not sufficiently fast enough to distinguish the extremely small delay between the two birds' movements.
As to why they do it, it is likely a social behaviour; a way of playing and a form of bonding between mating pairs. It could also have some practical function to improve hunting success. In pairs, chances of sighting a meal is doubled, tactics such as flanking and ambushing are made possible. Meanwhile, with synchronized flight the chances of detection and preemptive evasion by prey remains the same as if there were only one bird. This at the cost of sharing a meal, which is of no consequence if food is plenty, but if meals are scarce it's more beneficial to keep the family alive rather than spare one bird from hunger.
If you were looking for some philosophical or spiritual "meaning", I'm sorry to disappoint you. Those may be emotionally satisfying. But as with every "system" in the universe and even the existence of universe itself, this has a scientific explanation based in truth once you allow ascertainable facts to drive your conclusions rather than arbitrarily assigning mystical properties to things we don't immediately understand.
What else can I help you with?
Is it normal for Red Tail Hawks to fly in large groups together?
It is normal for Red Tail Hawks to flock during migration.
How does a hawks move?
fly
What is the federal law about NC hawks?
The NC law regarding to Hawks, is clear: The Hawks are free to fly.
Do hawks fly at night?
no owls do
What kind of hawks fly in large groups called kettles?
Broad-winged hawks.
How do red tailed hawks travel?
they fly
What time of the year do pigs fly?
Pigs do not fly.
Can the ed tailed hawks fly forever?
It can fly over 40 miles long.
What does keaton mean?
Keaton means "Where Hawks Fly".
What can hawks do?
it is a animal that has two legs and acan fly
What characteristics make hawks fly?
The soft wings.
Do hawks fly solo or in groups?
Occasionally, you will see hawks flying in groups or "kettles". But not usually.
