This is a very complex matter and will be very factually dependant. Generally the 4th amendment provides that the Government cannot perform unreasonable searches or seizures. But there are many exceptions. Consult with a civil rights attorney in your area to discuss specific facts regarding a potential claim. Best of luck.
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Assuming this is not subject to ghe Patriot Act probable cause needs to be established. Once that is done a judge will likwly balance tne degree of intrusion and the expectation of privacy against the severity of the crime and the probability of finding probative evidence. If satellite surveillance is involved the intrusuon is minimal as it is limited to 9ublic places. It may not even be a search. If the Patriot Act is involved all bets are off. If you are suspected of terorism retain a lawyer conversant in tnis immediately. Make certain you are not just being paranoid through