地转偏向力的数学分析

Mathematic Understanding of Deflection Force of Earth Rotation

分析了物体在地球表面作水平面运动或非水平面运动时 ,所受到的地转偏向力 f P 的大小 ;除赤道上作非水平面运动外 ,地转偏向力都可用 f P=2 mωv1sin表达 ,其中 v1 是物体在水平面内的运动速度 ,或是非水平面内的运动速度 v在水平面内的分量的大小 (v的另一个分量须平行于 )。赤道上作非水平面内运动的物体所受的地转偏向力并不等于零。

This paper makes a concrete analysis of the deflection force of earth rotation (f P ) which acts on the objects in horizontal motion or in mon horizontal motion. Except the equator, the f P can all be expressed with formula f P =2mωv 1 sin φ,where v 1 is either the motion velocity of the objects in non horizontal motion,while the another component is parallel to ω. On the equator the deflection force of earth rotation which acts on the objects in non horizontal motion is not equal to zero.