When it comes to small planes, weight matters. Don't be surprised when your contact emails you for all passenger weights, and when the pilot organizes seating by weights. (You don't want the three biggest people on the right side, for instance.) Similarly, don't expect to bring two weeks of stuff for a weekend, and definitely mention if you're planning on bringing golf clubs or skis. If they don't fit, check out ShipSticks or LuggageForward, which sends your equipment beforehand for a relatively small fee.
The key words here are prop planes, turboplanes, and light jets. Prop planes like the Cessna Caravan are popular because they're roomy (the seats are like business class, and often configured face to face). More popular these days are planes like the six- to eight-seater Pilatus PC-12, and KingAirs, which fly faster and feel more like jets. And then you get into light jets like Learjets, Embraer Phenom 300s, and Citation CJ3s, and Hawkers, all of which are sleeker and more streamlined, and can fly for four to five hours, for slightly longer trips.
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More likely, travelers would be conducting business if spending this type of cash to dart between points around the world. Fiber-optic lighting is built into the carpeting, and curved walls are meant to create a more welcoming, residential feel. Generally, Airbus corporate jets like the ACJ319 can be in the same ballpark price range as top-of-the-line business jets from Bombardier and Gulfstream. Airbus
Though the early Lockheed Jetstar had four, most production business jets have two jet engines, mostly rear-mounted podded engine. If mounted below their low wing, it wouldn't allow sufficient engine clearance without a too long landing gear. The HondaJet is the exception with its over the wing engine pods. Dassault Falcon still builds three-engine models derived from the Falcon 50, and the very light jet market has seen several single-engine design concepts and the introduction of the Cirrus Vision SF50 in 2016.