Mathematical Expression
Being is the angular velocity vector of the rotating frame, the speed of a test particle used to meassure the field, and using the expression of the acceleration in a rotating reference frame, it is known that the acceleration of the particle in the rotating frame is:
the Coriolis force is assumed to be the fictitious force that compensates the second term:
Where denotes the linear momentum. It can be seen that for any object, the coriolis force over it is proportional to its momentum vector. As vectorial product can be expressed in a tensorial way using the Hodge dual of :
This matrix can be seen as a constant tensor field, defined in the whole space, that will yield coriolis forces when multiplied by momentum vectors.
Read more about this topic: Coriolis Field
Famous quotes containing the words mathematical and/or expression:
“An accurate charting of the American womans progress through history might look more like a corkscrew tilted slightly to one side, its loops inching closer to the line of freedom with the passage of timebut like a mathematical curve approaching infinity, never touching its goal. . . . Each time, the spiral turns her back just short of the finish line.”
—Susan Faludi (20th century)
“I have always looked upon decay as being just as wonderful and rich an expression of life as growth.”
—Henry Miller (18911980)