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Re: [Phys-l] Inertial frame of reference





Here's an operational definition - several, actually.

Intrinsic
A platform ("frame") is inertial if equipped with three force sensors which are not pair-wise collinear and sense no force, and if equipped with three angular rate sensors
which are not pairwise axially collinear and which sense no rotation... for the time period of interest.

More practically: substitute "reasonably mutually orthogonal" for "not colinear"
where this involves pairwise axial differences greater than 60 degrees.

Extrinsic
For space-born applications: substitute two optical tracking telescopes whose axes are not collinear [ or - reasonably orthogonal] for the three rotation sensors. The telescopes need to fix any star on their respective optical axis for the time period of interest.

Brian W



carmelo@pacific.net.sg wrote:
Hi everyone,

Does anyone know which is the best definition on inertia frame of reference?

Ohanian defines "inertial reference frame" as a frame in which Newton’s
laws of motion are valid to a first approximation.
Ludwig Lange argued that any three material points simultaneously projected from a single point, and moving freely in noncoplanar directions, constitute an inertial system.
In John Denker's website, he suggests "a freely-falling frame". (It seems to suggest accelerated frame of reference.)


Best regards,
Alphonsus

Lange, ‘‘Ueber das Beharrungsgesetz,’’ Ber. der Ko¨nig. Sachsischen
Gesellschaft der Wissenschaften zu Leipzig, Math.-Phys. Klasse 37, 331–
351 ~1885!.