An analytic version of Jacchia's 1977 model atmosphere

Closed-form expressions are derived for the density of the atmosphere as a function of altitude and exospheric temperature. The numerical model used as a reference is the Jacchia 1977 Static Density Model. Unlike previous work, the present method of derivation is independent of the particular mathem...

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Bibliographic Details
Published in:Celestial Mechanics 1983-01, Vol.29 (1), p.3-26
Main Authors: Lafontaine, Jean, Hughes, Peter
Format: Article
Language:English
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Summary:Closed-form expressions are derived for the density of the atmosphere as a function of altitude and exospheric temperature. The numerical model used as a reference is the Jacchia 1977 Static Density Model. Unlike previous work, the present method of derivation is independent of the particular mathematical form of the reference model. In fact, many intermediate 'tuning' parameters provide the flexibility necessary to adjust these solutions optimally to all numerical models of the Jacchia type. Some other improvements to existing analytic Jacchia models are made, namely increased numerical efficiency, smaller deviation from the reference model and continuity of the first derivative at all altitudes. The model can also be expanded for improved accuracy. Numerical results and comparisons with the Jacchia 1977 model are made. Potential numerical difficulties are identified and methods given to remove them.
ISSN:0008-8714
1572-9478
DOI:10.1007/BF01358595