Difference between revisions of "A Compensating Term for the "Side Force Component" Term in the Barometric Equation"

From Natural Philosophy Wiki
Jump to navigation Jump to search
(Imported from text file)
(Imported from text file)
 
Line 19: Line 19:
 
[[Category:Scientific Paper|compensating term force component term barometric equation]]
 
[[Category:Scientific Paper|compensating term force component term barometric equation]]
  
[[Category:Gravity]]
+
[[Category:Gravity|compensating term force component term barometric equation]]

Latest revision as of 19:14, 1 January 2017

Scientific Paper
Title A Compensating Term for the \"Side Force Component\" Term in the Barometric Equation
Read in full Link to paper
Author(s) Donald G Carpenter
Keywords atmosphere, atmospheric particle motion, barometric
Published 2000
Journal Apeiron
Volume 7
No. of pages 5
Pages 143-147

Read the full paper here

Abstract

The derivation of the barometric equation concerns central forces in three dimensions. It has recently been shown that the sum of the incremental volume's side force components in the direction of the center of gravity (the ??(-2p z)(Dx)(Dy)(Dz)?? force) must be included in the Cartesian  rivation.That results in the side force component term (-2p z) being added to the differential equation, or dp dz=-??(NmMGz2 )+(2p z)??. Meteorological data does not, though, conform unambiguously to the corrected barometric equation.  This implies that an approximately compensating term might exist. Such a term results from consideration of the central force due to atmospheric particle random motion perpendicular to the radial from the center of gravity in a central force field (the ??+(2(f )p 3z)(Dx)(Dy)(Dz)?? force, where ?f? represents the degrees of freedom). The more-complete barometric equation is: dp dz= -(NmMG z2 )+??2(f-3)p3z??. .