Billionaire Vichai Srivaddhanaprabha, two members of his staff, the pilot and a passenger were killed when the aircraft spiralled out of control and crashed in a fireball on Saturday.
It had just cleared the King Power Stadium when it came down at 20:30 BST.
The Duke of Cambridge said he was lucky to have known Mr Vichai, describing him as a dedicated family man.
Leicestershire Police said it believed the other people killed in the crash to be two members of Mr Vichai's staff - Nursara Suknamai and Kaveporn Punpare - pilot Eric Swaffer and his partner Izabela Roza Lechowicz.
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