By definition a Satanic verse is a verse induced to mind of prophet by Satan that prophet think this is a revealed verse from God. but in real life of prophet such think did not happened because God protected his mind from induces of Satan. explained here
According to all Muslims no verse was removed from Quran.
Who claims such verse existed should show evidence for this claim.
Also there is a completely different concept called Naskh that means changing a past rule by a new rule. such verses exist in Quran but both verses for before and after Naskh exist in Quran and the past verse was not removed from Quran.
For example sahaba came to home of prophet and sit there and did not leave there. prophet did not said them leave my home if you have no question or work with me for being polite. then a verse was revealed to people that:
O you who have believed, do not enter the houses of the Prophet except
when you are permitted for a meal, without awaiting its readiness. But
when you are invited, then enter; and when you have eaten, disperse
without seeking to remain for conversation. Indeed, that [behavior]
was troubling the Prophet, and he is shy of [dismissing] you. But
Allah is not shy of the truth. And when you ask [his wives] for
something, ask them from behind a partition. That is purer for your
hearts and their hearts. And it is not [conceivable or lawful] for you
to harm the Messenger of Allah or to marry his wives after him, ever.
Indeed, that would be in the sight of Allah an enormity. http://tanzil.net/#33:53
And also this verse came saying who wants to talk prophet first should pay money for charity:
O you who have believed, when you [wish to] privately consult the
Messenger, present before your consultation a charity. That is better
for you and purer. But if you find not [the means] - then indeed,
Allah is Forgiving and Merciful. http://tanzil.net/#58:12
After reveal of this verse none of sahaba came to home of prophet unless Imam Ali a.s. who paid money for charity each time wanted to meet prophet and asked him different questions.
Then this verse revealed:
Have you feared to present before your consultation charities? Then
when you do not and Allah has forgiven you, then [at least] establish
prayer and give zakah and obey Allah and His Messenger. And Allah is
Acquainted with what you do. http://tanzil.net/#58:13
This verse was Naskh for past verse. but as you see past verse still exist in Quran.
The book you mentioned is contains propaganda against Islam and insult to prophet and his wives.
References:
Naskh
Obligatory to respect the Prophet – an account of his social etiquettes