Preprints
https://doi.org/10.5194/egusphere-2023-3112
https://doi.org/10.5194/egusphere-2023-3112
15 Jan 2024
 | 15 Jan 2024

Analytical Approximation of the Definite Chapman Integral for Arbitrary Zenith Angle

Dongxiao Yue

Abstract. This study presents an analytical approximation of the definite Chapman integral, applicable to any zenith angle and finite integration limits. We also present the asymptotic expression for the definite Chapman integral, which enables an accurate and efficient implementation free of numerical overflows. The maximum relative error in our analytical solution is below 0.5 %.

Dongxiao Yue

Status: final response (author comments only)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on egusphere-2023-3112', Anonymous Referee #1, 23 Jan 2024
    • AC1: 'Reply on RC1', Dongxiao Yue, 24 Jan 2024
      • RC3: 'Reply on AC1', Anonymous Referee #1, 08 Feb 2024
        • AC3: 'Reply on RC3', Dongxiao Yue, 11 Feb 2024
  • RC2: 'Comment on egusphere-2023-3112', Anonymous Referee #2, 08 Feb 2024
    • AC2: 'Reply on RC2', Dongxiao Yue, 11 Feb 2024
Dongxiao Yue
Dongxiao Yue

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