cianfa72's latest activity
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cianfa72 reacted to PAllen's post in the thread Undergrad Question about Parallel Transport with
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Actually, if you take any small part of the geodesic, and a small neighborhood around that part, then that geodesic segment is minimal -... -
cianfa72 reacted to PAllen's post in the thread Undergrad Question about Parallel Transport with
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True, but that is just a recipe for constructing a pure Riemannian manifold, that happens to a submanifold. So it is actually covered in... -
cianfa72 replied to the thread Undergrad Question about Parallel Transport.As far as I can understand, in GR, the spacelike geodesics are (always) saddle points when considering them in the overall 4D spacetime... -
cianfa72 reacted to PAllen's post in the thread Undergrad Question about Parallel Transport with
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No, not longest distance - you can deviate from a non minimal great circle path and make it longer - by any amount with squiggles. In... -
cianfa72 reacted to Nugatory's post in the thread Undergrad Synchronizing clocks at different locations to measure speed of light with
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Simultaneity is a property of pairs of events not objects even in classical physics where there is no relativity of simultaneity. -
cianfa72 replied to the thread Undergrad Can a Gyroscope in a Satellite Detect Orbit?.Ok, this is similar to the Langevin congruence: take the worldline at the center of the rotating disk as "reference/fiducial" worldline... -
cianfa72 reacted to PeterDonis's post in the thread Undergrad Can a Gyroscope in a Satellite Detect Orbit? with
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The vorticity isn't a cause, it's a description. As I understand it, the rotation of the ISS wrt the gyroscope's axis is maintained by... -
cianfa72 replied to the thread Undergrad Can a Gyroscope in a Satellite Detect Orbit?.Yes the vorticity is small, however it suffices to provide the rotation of the ISS w.r.t. the gyroscope's axis. -
cianfa72 reacted to PeterDonis's post in the thread Undergrad Can a Gyroscope in a Satellite Detect Orbit? with
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Strictly speaking, I suppose this is true, but the proper acceleration will be extremely small, because the only reasons it would be... -
cianfa72 replied to the thread Undergrad Axial angular momentum calculation.Better, I'd say the angular momentum is a bi-vector -- https://en.wikipedia.org/wiki/Angular_momentum -
cianfa72 replied to the thread Undergrad Axial angular momentum calculation.I was taking the more advanced viewpoint in which the momentum ##\boldsymbol p## is actually a co-vector (see for instance MTW chapter 2.5). -
cianfa72 reacted to jbriggs444's post in the thread Undergrad Properties of angular momentum with
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By contrast to a rotating frame of reference. It is not spinning. We may take it as an article of faith that any "frame" we speak of... -
cianfa72 replied to the thread Undergrad Properties of angular momentum.I mean the frame in which the system's CoM stays always at rest (zero total ##\vec P## w.r.t. it). Basically it shares the system's CoM... -
cianfa72 replied to the thread Undergrad Can a Gyroscope in a Satellite Detect Orbit?.To take it simple, one could reasonably model the walls of the ISS as the rim of a 2D disk in which the center of mass (CoM) is... -
cianfa72 reacted to PeterDonis's post in the thread Undergrad Can a Gyroscope in a Satellite Detect Orbit? with
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He means that it rotates 360 degrees relative to the gyroscope's axis, which is Fermi-Walker transported along the ISS's worldline.