Issue |
EPL
Volume 146, Number 4, May 2024
|
|
---|---|---|
Article Number | 49001 | |
Number of page(s) | 6 | |
Section | Gravitation, cosmology and astrophysics | |
DOI | https://doi.org/10.1209/0295-5075/ad4412 | |
Published online | 04 June 2024 |
Constructing predictive models for seismic oscillation parameters using covariance functions and Doppler effect phenomena: A case study of InSight mission V2 data
Vilnius Gediminas Technical University - Vilnius, Lithuania
Received: 25 September 2023
Accepted: 26 April 2024
An ability to construct predictive models for identifying seismic oscillation parameters by using the mathematics of covariance functions and Doppler effect phenomena is examined in this work. In the calculations, the Mars seismic oscillations measurement data from InSight Mission V2, observed in the months May, June and July of 2019, was used. To analyze the observation data arrays the Doppler phenomena and the expressions of covariance functions were employed. The seismic oscillations trend's intensity vectors were assessed by least squares method, and the random errors of measurements at the stations were eliminated partially as well. The estimates of the vector's auto-covariance and cross-covariance functions were derived by altering the quantization interval on the general time scale while varying the magnitude of the seismic oscillation vector on the same time scale. To detect the mean values of z —the main parameter of Doppler expression— we developed a formula by involving the derivatives of cross-covariance functions of a single vector and algebraic sum of the relevant vectors.
© 2024 The author(s)
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