It could be a Learjet, but I can't find a match.
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1$\begingroup$ interesting. I thought it might be a Dassault Falcon, but can't find a match in that range. $\endgroup$ – Hobbes Apr 11 '19 at 12:13
The tail is quite unique. I thought about Embraer Phenom, Hondajet, and Cessna Citation, but it is none of these.
I believe that your images are showing a British Aerospace 125 (aka Hawker 800/1000, or DH125 Jet Dragon). They were produced from 1977 to 2013, and most of them have been in service for the air forces of Japan, Brazil, and Saudi Arabia.
Source: wikimedia.org
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3$\begingroup$ Yes, that looks like one! You made my day bogl, thank you very much. $\endgroup$ – Chris Apr 11 '19 at 12:29
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3$\begingroup$ Not really, was looking through some old Miami Vice episodes and trying to figure out what plane was being used :) Thank you for taking your time and answering bogl :) $\endgroup$ – Chris Apr 11 '19 at 12:48
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8$\begingroup$ @Chris Miami Vice would have been a good piece of information to include - at least dates the craft to active service in the mid-late 1980s. $\endgroup$ – J... Apr 11 '19 at 20:07