Processes can be described by differential equations. The solutions of those equations describe the behaviour of those processes for specific conditions. That is not the Chaos Theory.
Those processes can be complex. That is not the Chaos Theory.
The initial conditions of those differential equations are important. That is not the Chaos Theory.
The same is true for the parameters of those equations.
Those equations are based on observations, which are done in a certain time period. The more you predict
the behaviour outside this period the larger the error. That is not the Chaos Theory.
Your author is very well aware that the behaviour of many astronomical objects is called chaotic. Just by calling something chaotic does not explain something. Old wordings like: complex, random, or difficult are still useful as well. Just by saying: "I don't know" is maybe the wisest answer.
It is the challenge of mankind to improve our understanding.
The Chaos Theory (as the name suggests) gives the impression that that is not possible.
The author does not agree with that.
That does not mean that there are no limits in our understanding i.e. in what we all can understand.
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