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Re:Starship's Third Flight Test by ghufran_syed on Thursday March 14, 2024 @10:05AM (#39704168)
It's at 26000 km/h which sufficient for orbital velocity. It looks like it's in an elliptical orbit. I guess we'll see soon if they need to do a de-orbit burn, or if the orbit just intersects the atmosphere and they use atmospheric braking?
Re:Starship's Third Flight Test by perihelions on Thursday March 14, 2024 @10:09AM (#39704232)
I did the math. So, the minimal orbit at 180 km, the one that grazes the earth's surface at its perigee, is about 7.75 km/s or 27,900 kph. The other commenters are right: it was never technically orbital.

edit:

    (let* ((μ 398600.0)     ;; km^3/s^2
           (r 6371.0)       ;; km
           (peri (+ r 0.0))
           (apo (+ r 180.0))
           (a (* 0.5 (+ peri apo))))
      (sqrt (* μ
               (- (/ 2.0 apo)
                  (/ 1.0 a)))))
    ;; 7.745844595118488
Re:Starship's Third Flight Test by ghufran_syed on Thursday March 14, 2024 @10:12AM (#39704275)
Thanks! On one of the feeds, it sounds like they didn't want to leave a bunch of debris in orbit if they had an anomaly
Re:Starship's Third Flight Test by BenoitP on Thursday March 14, 2024 @10:22AM (#39704390)
> 26000 km/h

> 27,900 kph

Seems like they want to test the limit. Same speeds as LEO, but guaranteed to come down.

Re:Starship's Third Flight Test by grecy on Thursday March 14, 2024 @10:51AM (#39704795)
That is really cool. For those of us that are space nerds but don't have the depth of understanding, do you mind walking us through the calculation above?
Re:Starship's Third Flight Test by perihelions on Thursday March 14, 2024 @11:07AM (#39704981)
I apologize I don't have a good explanation of it at hand! It's a form of the vis-viva equation [0] that's basically a restatement of conservation of energy. It derives the (scalar) speed of an object in a 2-body orbit, at any position within that orbit, as a simple function of their separation distance.

In the form I'm using, I'm using standard parameters of an elliptical orbit: the periapsis (the closest approach to the center of mass of the massive body (which is a focal point of the ellipse which the orbit traces)), apoapsis (farthest distance), and semimajor axis (their arithmetic mean [1]). I'm evaluating the orbital velocity at the highest point, the apoapsis. μ is a short form for the product G*M, the standard gravitational parameter [2] of Earth (which is known to much higher precision than either the universal gravitational constant G, or the mass of the earth M, individually).

The particular orbit I'm applying it to is one whose periapsis is equal to the Earth's radius—an orbit that touches the surface of the Earth. This is the dividing line for orbital / suborbital: a suborbital trajectory is one that (mathematically) goes beneath the Earth's surface.

[0] https://en.wikipedia.org/wiki/Vis-viva_equation#Equation

[1] https://en.wikipedia.org/wiki/Semi-major_and_semi-minor_axes...

[2] https://en.wikipedia.org/wiki/Standard_gravitational_paramet...

Re:Starship's Third Flight Test by grecy on Thursday March 14, 2024 @05:42PM (#39709309)
No apology needed, thankyou very much!
Re:Starship's Third Flight Test by eagerpace on Thursday March 14, 2024 @01:51PM (#39706964)
But it would have been if they executed the burn in at a slightly different angle.