Transverse Vector Decomposition Method for Analytical Inversion of Exoplanet Transit Spectra
Abstract
Abstract We develop a new method for analytical inversion of binned exoplanet transit spectra and for retrieval of planet parameters. The method has a geometrical interpretation and treats each observed spectrum as a single vector in the multidimensional spectral space of observed bin values. We decompose the observed into two orthogonal components: a wavelength-independent component corresponding to the spectral mean across all observed bins, and a transverse component that is wavelength dependent and contains the relevant information about the atmospheric chemistry. The method allows us to extract, without any prior assumptions or additional information, the relative mass (or volume) mixing ratios of the absorbers in the atmosphere, the scale height to stellar radius ratio, H / R S , and the atmospheric temperature. The method is illustrated and validated with several examples of increasing complexity.
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1897542
- Grant/Contract Number:
- DESC0022148
- Resource Type:
- Published Article
- Journal Name:
- The Astrophysical Journal
- Additional Journal Information:
- Journal Name: The Astrophysical Journal Journal Volume: 939 Journal Issue: 2; Journal ID: ISSN 0004-637X
- Publisher:
- American Astronomical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Matchev, Konstantin T., Matcheva, Katia, and Roman, Alexander. Transverse Vector Decomposition Method for Analytical Inversion of Exoplanet Transit Spectra. United States: N. p., 2022.
Web. doi:10.3847/1538-4357/ac82f3.
Matchev, Konstantin T., Matcheva, Katia, & Roman, Alexander. Transverse Vector Decomposition Method for Analytical Inversion of Exoplanet Transit Spectra. United States. https://doi.org/10.3847/1538-4357/ac82f3
Matchev, Konstantin T., Matcheva, Katia, and Roman, Alexander. Wed .
"Transverse Vector Decomposition Method for Analytical Inversion of Exoplanet Transit Spectra". United States. https://doi.org/10.3847/1538-4357/ac82f3.
@article{osti_1897542,
title = {Transverse Vector Decomposition Method for Analytical Inversion of Exoplanet Transit Spectra},
author = {Matchev, Konstantin T. and Matcheva, Katia and Roman, Alexander},
abstractNote = {Abstract We develop a new method for analytical inversion of binned exoplanet transit spectra and for retrieval of planet parameters. The method has a geometrical interpretation and treats each observed spectrum as a single vector r → in the multidimensional spectral space of observed bin values. We decompose the observed r → into two orthogonal components: a wavelength-independent component r → ∥ corresponding to the spectral mean across all observed bins, and a transverse component r → ⊥ that is wavelength dependent and contains the relevant information about the atmospheric chemistry. The method allows us to extract, without any prior assumptions or additional information, the relative mass (or volume) mixing ratios of the absorbers in the atmosphere, the scale height to stellar radius ratio, H / R S , and the atmospheric temperature. The method is illustrated and validated with several examples of increasing complexity.},
doi = {10.3847/1538-4357/ac82f3},
journal = {The Astrophysical Journal},
number = 2,
volume = 939,
place = {United States},
year = {Wed Nov 09 00:00:00 EST 2022},
month = {Wed Nov 09 00:00:00 EST 2022}
}
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