Possibly you witnessed Dassault Falcon 2000EX Farnborough to Bournemouth?
I can't see the flight dropping below 750 feet in your area? Flight originated in Italy and looks like it went into Farnborough before heading to Bournemouth.
https://planefinder.net/flight/MSNER....000Z/speed/26
https://planefinder.net/data/aircraft/M-SNER
https://www.jetphotos.com/registration/M-SNER
Of course I am assuming that "ASWE" is a reference to Admiralty Surface Weapons Establishment?
http://www.portsdown-tunnels.org.uk/...n_main_p1.html
https://www.flightradar24.com/2019-0.../F2TH/214e95e6