Estimation of the Error in the Calculation of the Pressure‐Strain Term: Application in the Terrestrial Magnetosphere

Author:

Roberts O. W.1ORCID,Vörös Z.12ORCID,Torkar K.1ORCID,Stawarz J.3,Bandyopadhyay R.4ORCID,Gershman D. J.5ORCID,Narita Y.1ORCID,Kieokaew R.6ORCID,Lavraud B.67ORCID,Klein K.8ORCID,Yang Y.9,Nakamura R.1ORCID,Chasapis A.10,Matthaeus W. H.9ORCID

Affiliation:

1. Space Research Institute Austrian Academy of Sciences Graz Austria

2. Institute of Earth's Physics and Space Science ELRN Sopron Hungary

3. Department of Mathematics, Physics and Electrical Engineering Northumbria University Newcastle upon Tyne UK

4. Department of Astrophysical Sciences Princeton University Princeton NJ USA

5. NASA Goddard Space Flight Center Greenbelt MD USA

6. Institut de Recherche en Astrophysique et Planétologie CNRS UPS CNES Université de Toulouse Toulouse France

7. Laboratoire d’Astrophysique de Bordeaux CNRS University of Bordeaux Pessac France

8. Lunar and Planetary Laboratory University of Arizona Tucson AZ USA

9. Department of Physics and Astronomy and Bartol Research Institute University of Delaware Newark DE USA

10. Laboratory for Atmospheric and Space Physics University of Colorado Boulder Boulder CO USA

Abstract

AbstractCalculating the pressure‐strain terms has recently been performed to quantify energy conversion between the bulk flow energy and the internal energy of plasmas. It has been applied to numerical simulations and satellite data from the Magnetospheric MultiScale Mission. The method requires spatial gradients of the velocity and the use of the full pressure tensor. Here we present a derivation of the errors associated with calculating the pressure‐strain terms from multi‐spacecraft measurements and apply it to previously studied examples of magnetic reconnection at the magnetopause and the magnetotail. The errors are small in a dense magnetosheath event but much larger in the more tenuous magnetotail. This is likely due to larger counting statistics in the dense plasma at the magnetopause than in the magnetotail. The propagated errors analyzed in this work are important to understand uncertainties of energy conversion measurements in space plasmas and have applications to current and future multi‐spacecraft missions.

Funder

Austrian Science Fund

Publisher

American Geophysical Union (AGU)

Subject

Space and Planetary Science,Geophysics

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