NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Coriolis and gyros
From: Frank Reed
Date: 2009 Aug 20, 06:02 -0700
From: Frank Reed
Date: 2009 Aug 20, 06:02 -0700
As Douglas Denny stated originally (later withdrawn), the Coriolis acceleration is most definitely responsible for the north-seeking capability of a gyro-compass (IF you work in coordinates rotating with the Earth --the natural coordinates for these problems). Just make sure you use the full three-dimensional vector cross-product when thinking about the strength of the Coriolis acceleration. The Coriolis acceleration is frame-dependent --it depends on the choice of a rotating frame of reference. It's intriguing to note that there is also an extremely tiny physical, non-frame-dependent, version of the Coriolis acceleration which is created by spinning masses. This is known as "frame-dragging" or "gravito-magnetism" and was measured (barely due to various problems with the ultra-sensitive gyroscopes) by a spacecraft known as "Gravity Probe B": http://einstein.stanford.edu/highlights/status1.html. There is a deep, non-accidental analogy between the Coriolis force and the common magnetic force. And just as a spinning current loop experiences a torque which causes it to precess in a constant magnetic field, a spinning "mass loop" (a.k.a. a gyroscope) experiences a torque which causes it to precess in a rotating frame of reference. Finally, for Gary, there is nothing "fictional" about the so-called "fictitious forces" in rotating frames of reference. They are every bit as real as the common acceleration of gravity, or, if you like, they are every bit as un-real. The complicated explanations for various phenomena which you have learned that avoid using the expression Coriolis are un-necessary, though they can serve as useful reminders that physics can be done in different frames of reference and the results have to be the same no matter what. -FER --~--~---------~--~----~------------~-------~--~----~ NavList message boards: www.fer3.com/arc Or post by email to: NavList@fer3.com To , email NavList-@fer3.com -~----------~----~----~----~------~----~------~--~---