Orbits And Suborbits

I’ve updated yesterday’s piece at Ricochet to clarify, for those in comments. I’ve probably discussed this here before, but…

Per discussion in comments, there seems to be some confusion about the difference between high-altitude flight, suborbital flight, and orbital flight. As John Walker points out, orbital flight requires a minimum speed to sustain the orbit, but while that is necessary, it is not a sufficient condition. In fact, a flight can be suborbital with the same speed (energy) as an orbital flight. The best, or at least, most rigorous way to define a “suborbit” is an orbit that intersects the atmosphere and/or surface of the planet. So if you launched straight up at orbital velocity, it would still be a suborbit, because it would (after an hour or two, I haven’t done the math) fall back to the ground. So John’s numbers in terms of comparative energy are roughly correct for the particular vehicles being discussed here (XCOR Lynx and VG SpaceShipTwo), they can’t be generalized for any suborbital vehicle (e.g., a sounding rocket isn’t orbital, but it goes much higher than those passenger vehicles, often hundreds of kilometers in altitude).

The speed necessary to achieve orbit is partly a function of the mass of the body being orbited, but it is also a function of its diameter, and whether or not it has an atmosphere. If the earth were a point mass, an object tossed out at an altitude equivalent to the earth radius (that is ground level) would have very little velocity, but it would have a lot of potential energy. It would fall, gain speed, whip around the center and come back up to the person who had tossed it. That is, it would orbit. So even for the relatively low-energy suborbital vehicles discussed in this post, the reason that they’re not orbital is simply that the planet gets in the way.

One other interesting point is that, under the definition above, subsonic “parabolic” aircraft flights in the atmosphere, to offer half a minute or so of weightlessness (offered by the Zero G company), are suborbital flights, in terms of their trajectory. I put “parabolic” in quotes because in actuality, if properly flown, they are really elliptical sections, as all orbits and suborbits are. The parabola is just a close approximation if you assume a flat earth, which is a valid assumption for the short distances involved. Galileo did his original artillery tables based on flat earth, which is why beginning physics students model cannonball problems as parabolas, but modern long-range artillery has to account for the earth curvature, and it does calculate as elliptical trajectories.

Finally, one more extension. Ignoring the atmosphere, every artillery shell fired, every ball thrown or hit, every long jumper, every person who simply hops up into the air, is in a suborbit. The primary distinction for the vehicles discussed is that they are in a suborbit that reaches a specific altitude (at least a hundred kilometers to officially be in “space”), and leaves the atmosphere.

Clear as mud?

8 thoughts on “Orbits And Suborbits”

  1. When I worked at Beyond-Earth, this bit me hard. I explained to a reporter that we were flying suborbital trajectories and he wrote that we had been to space – not exactly the same thing. It caused a lot of embarrassment and regret ever trying to teach the difference. The details are important and they were lost in translation.

    1. Interviews about high tech ought to be done over lunch, with access to a Sharpie and lots of napkins.

    1. He said, getting to space is easy. Which is correct, but if I said that…

      Rand, this is what got me hooked on you in the beginning. You have a phenomenal ability to explain physics clearly. In that case it was your explanation of how solar sails allow you to navigate in different directions.

  2. The Bell X-2 had the raw performance to handle the suborbital role (delta V and thermal) though it lacked any type of RCS to actually pull off such a mission, and its aerodynamics would’ve made re-entry pretty sketchy.

    That program was started in 1945. The X-2 made it’s first glide in 1952 but the first powered flight didn’t occur until 1955 due to a captive in-flight explosion in 1953.

    You could use a photo of the X-2 next to a photo of a Mercury Atlas to illustrate the required performance difference, or perhaps note that it is the about same velocity difference as a turtle (3-4 mph) versus a thoroughbred running the Kentucky Derby (36+ mph).

      1. And way off the mark. Suborbital is not Mach 3 unless you are already at 60 km by the time the burn is done. Finish the burn at 30 km and you need Mach 4 to reach the 100 km mark. Back pressure, gravity, and drag losses are the same for orbital and suborbital. Mass ratio from the ground is 3-4 for suborbital and 10-20 for orbital. Mass ratio difference is 4 to 5. More difficult is true, but the 64 times is not, especially with staging.

        Building a team, a business, and a supplier network is a prerequisite for both. Suborbital is halfway to orbit in terms of DeltaB, the big B, Business.

  3. Thanks for the insider info on the problems with the engine on SS2. If VG had gone with a liquid fueled engine they’d be suborbital well before the 10th anniversary of SS1.

    Bob Clark

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