An analysis of the errors associated with the determination of atmospheric temperature from atmospheric pressure and density data

A graph was developed for relating delta T/T, the relative uncertainty in atmospheric temperature T, to delta p/p, the relative uncertainty in the atmospheric pressure p, for situations, when T is derived from the slope of the pressure-height profile. A similar graph relates delta T/T to delta roh/rho, the relative uncertainty in the atmospheric density rho, for those cases when T is derived from the downward integration of the density-height profile. A comparison of these two graphs shows that for equal uncertainties in the respective basic parameters, p or rho, smaller uncertainties in the derived temperatures are associated with density-height rather than with pressure-height data. The value of delta T/T is seen to depend not only upon delta p or delta rho, and to a small extent upon the value of T or the related scale height H, but also upon the inverse of delta h, the height increment between successive observations of p or rho. In the case of pressure-height data, delta T/T is dominated by 1/delta h for all values of delta h; for density-height data, delta T/T is dominated by delta rho/rho for delta h smaller than about 5 km. In the case of T derived from density-height data, this inverse relationship between delta T/T and delta h applies only for large values of delta h, that is, for delta h 35 km. No limit exists in the fineness of usable height resolution of T which may be derived from densities, while a fine height resolution in pressure-height data leads to temperature with unacceptably large uncertainties

Studies of atmospheric structure and the variability of the earth's atmosphere Final report

Atmospheric structure and variability of earth atmospher

Atmospheric density models and observations Status report

Atmospheric density model

Structure and variability of earth's atmosphere Final report

Structure and density variations of earth atmosphere associated with solar flu

A mid-latitude ozone model for the US standard atmosphere, 1975 (summary)

A mid-latitude, Northern-Hemisphere model of the daytime ozone distribution in the troposphere, stratosphere, and lower mesosphere was constructed. Data from rocket soundings in the latitude range 45 deg N + or - 15 deg, results of balloon soundings at altitudes from 41 to 47 deg N, and latitude gradients from satellite ozone observations were combined to produce estimates of the annual mean ozone concentration and its variability at heights to 72 km for an effective latitude of 45 deg N. The model is a revision, for heights above 26 km, of the tentative Mid-Latitude Ozone Model

Analysis of several relations among atmospheric statistics

Statistical equation relating mean values of pressure, temperature, and density with correction term proportional to covariance between density and temperatur

Temperature determination of planetary atmospheres. Optimum boundary conditions for both low and high solar activity

Single and double gas number-density equations for determining temperature-altitude profile, high and low solar activity atmospheric models, and error analysi

Density-altitude data from 150 rocket flights and 26 searchlight probings, 1947 through 1964

Density and altitude data from rocket flights and searchlight probing

Study of earth's atmosphere final report

Earth and planetary atmospheres, isopycnic levels, temperature determination from diffusion data, and transition model atmosphere

Uncertainties in derived temperature-height profiles

Nomographs were developed for relating uncertainty in temperature T to uncertainty in the observed height profiles of both pressure p and density rho. The relative uncertainty delta T/T is seen to depend not only upon the relative uncertainties delta P/P or delta rho/rho, and to a small extent upon the value of T or H, but primarily upon the sampling-height increment Delta h, the height increment between successive observations of p or delta. For a fixed value of delta p/p, the value of delta T/T varies inversely with Delta h. No limit exists in the fineness of usable height resolution of T which may be derived from densities, while a fine height resolution in pressure-height data leads to temperatures with unacceptably large uncertainties