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ORIGINAL RESEARCH article

Front. Astron. Space Sci., 02 December 2024
Sec. Exoplanets

Exploring radio emissions from confirmed exoplanets using SKA

Fatemeh Bagheri,
Fatemeh Bagheri1,2*Anshuman GargaAnshuman Garga2Ramon E. LopezRamon E. Lopez2
  • 1NASA Goddard Space Flight Center, Greenbelt, MD, United States
  • 2Department of Physics, University of Texas at Arlington, Arlington, TX, United States

Our understanding of magnetic fields in exoplanets remains limited compared to those within our solar system. Planets with magnetic fields emit radio signals primarily due to the Electron Cyclotron Maser Instability mechanism. In this study, we explore the feasibility of detecting radio emissions from exoplanets using the Square Kilometre Array (SKA) radio telescope. Utilizing data from the NASA Exoplanet Archive, we compile information on confirmed exoplanets and estimate their radio emissions using the RBL model. Our analysis reveals that four exoplanets—Qatar-4 b, TOI-1278 b, CoRoT-10 b, and HAT-P-20 b—potentially exhibit radio signals suitable for observation with the SKA telescope.

1 Introduction

Observing and measuring the magnetic fields of exoplanets holds paramount importance in contemporary astrophysical research. The magnetic field of a planet serves as a fundamental aspect of its physical makeup, providing crucial insights into its internal structure and dynamical processes. Understanding exoplanetary magnetic fields allows for the investigation of planetary interiors, shedding light on the presence of metallic cores and the mechanisms driving magnetic field generation, such as dynamo processes. Additionally, the interaction between a planet’s magnetic field and the surrounding stellar wind profoundly influences its atmospheric dynamics, including the retention and loss of atmospheric gases. This interplay is pivotal in determining a planet’s habitability and its potential to support life as we know it. Furthermore, studying exoplanetary magnetic fields offers a glimpse into the diverse array of planetary systems beyond our own, enriching our understanding of planetary formation and evolution across different stellar environments and orbital configurations.

However, the task of observing and measuring the magnetic field of exoplanets presents a significant challenge. The magnetospheres of several solar system bodies, such as Earth, Jupiter, Saturn, Uranus, and Neptune, manifest distinct patterns of non-thermal continuum radiation emission due to their interaction with the solar wind (Zarka, 1998). The electron cyclotron maser instability (ECMI) mechanism is believed to be the primary source of non-thermal radio emission in planetary magnetospheres, where energetic electrons emit coherent radiation along magnetic field lines (Melrose and Dulk, 1982; Dulk, 1985). Observations of such emissions provide valuable insights into the strength and configuration of exoplanetary magnetic fields. However, despite extensive efforts, direct detection of radio emissions from exoplanets has proven challenging due to the low sensitivity of ground-based radio telescopes (Murphy et al., 2015; Lazio et al., 2018; Turner et al., 2021). Recent advancements, particularly in the development of next-generation instruments like the Square Kilometre Array (SKA), offer promising opportunities for more sensitive and comprehensive observations of exoplanetary radio emissions. The leading contemporary ground-based telescope for detecting planetary radio emissions will be the SKA telescope. Comprising two arrays, SKA1-Low and SKA1-Mid, it covers a broad frequency range from 50 MHz to 14 GHz. With its immense collecting area, totaling one square kilometer when fully operational, the SKA will be able to capture faint radio signals (Lazio et al., 2009). By detecting and characterizing exoplanetary radio emissions, we can gain deeper insights into the magnetic properties, atmospheric dynamics, and potentially the presence of exomoons in exoplanetary systems.

To date, the confirmed count of exoplanets has reached 5,765. In this study, we conduct an assessment of the non-thermal radio emissions originating from these exoplanets, utilizing the Radiometric Bode’s Law (RBL model) (Zarka et al., 2001; Zarka, 2004; Zarka, 2007). Subsequently, we identify potential candidates for detection using the Square Kilometre Array (SKA) telescope. The structure of the paper is as follows: Section 2 outlines the methodology used to estimate the exoplanetary emissions. In Section 3, we present the results of our findings, and Section 4 contains our conclusions.

2 Methodology

2.1 Estimation of exoplanets radio emission

Observations of magnetized planets within our Solar System have revealed a consistent relationship between the power of auroral emissions and the energy flux of the incoming stellar wind (Zarka et al., 2001; Zarka, 2004; 2007; Zarka et al., 2018). This phenomenon extends to various planetary bodies, including those with Jovian satellite and their host radio emissions (Noyola et al., 2014; 2016). Specifically, studies have shown that approximately 1% of the energy carried by electrons in these systems manifests as radio waves (Zarka et al., 2018). This correlation between auroral emissions and stellar wind energy flux, along with the strength of the planetary magnetic field, is encapsulated by the RBL model (Zarka et al., 2001; Zarka, 2004; Zarka, 2007). Mathematically, this model relates the radio power from an exoplanet to the incident power of the stellar winds, as expressed by

Prad=4×1018ergs1Ṁion1014Myr10.8v400kms12a5au1.6ωωJ0.8MpMJ1.33,(1)

where a is the semi-major axis of the planet’s orbit in au, Ṁ ion is the stellar ionized mass-loss rate, v is the terminal velocity of the stellar wind, and ω is the corotation speed (Farrell et al., 1999; O’Gorman et al., 2018).

Terminal velocity of stellar wind can be calculated by

v=0.75×617.5×R/M,

where R and M are the host star radius and mass (O’Gorman et al., 2018). The radio flux density (Sν) emitted by an exoplanet can be estimated using the following equation

Sν=PradΔνΩd2,(2)

where Prad is the total radio emission power of the exoplanet Equation 1, d is the distance between the exoplanet and the observer, and ν is the maximum frequency of the radio emission,

νc=23.5 MHz ωωJMpMJ5/3RpRJ3,

where Rp is the planetary radius. Substituting Equation 2 into Equation 1 gives

Sν=7.6 mJy ωωJ0.2MpMJ0.33RpRJ3Ω1.6sr1d10pc2×a1au1.6Ṁion1011Myr10.8v100kms12,(3)

where ωJ, MJ, and RJ, are Jupiter’s corotation speed, mass, and radius and Ω is the beaming solid angle of the emission. In deriving this expression, we have followed (Farrell et al., 1999; O’Gorman et al., 2018). We assume that the planet will emit ECMI radiation within the frequency range of Δν=0.3νc to align with the sensitivity of the SKA telescope. As a result, the coefficient in Equation 3 differs from that used in (O’Gorman et al., 2018).

The planetary corotation speed (ω) is a fundamental parameter in planetary magnetospheric dynamics. In the context of close-in exoplanets, where tidal locking is prevalent due to intense gravitational forces from the host star, the corotation rate becomes particularly significant. Tidal locking occurs when the orbital period of the planet matches its rotational period, resulting in one hemisphere of the planet permanently facing the star. As a consequence, the corotation rate of tidally locked planets is synchronized with their orbital motion. This synchronization affects the generation and distribution of electromagnetic phenomena within the magnetosphere, such as auroral emissions and field-aligned currents (Zarka et al., 2001; Seager and Hui, 2002). To account for tidal locking’s influence, we presume that exoplanets within orbits less than 0.1 au are tidally locked, meaning their orbital period matches their corotation period. For exoplanets beyond this threshold, we employ the Darwin-Radau relation (Murray and Dermott, 2000).

ω=fGMpReq25211.5C2+25

where C is 0.4 for rocky planets and 0.25 for gas giant planets and f is the planet’s oblateness (Hubbard, 1984). For Jovian planets with orbital distance a<0.1 au, we use the oblateness of Jupiter (f=0.064), and for rocky planets, we use the Earth’s value which is f=0.00335 (Barnes and Fortney, 2003).

2.2 Detectablity of the planetary radio signal

For our observations using the SKA, we focus on the SKA1-Low and SKA1-Mid frequency ranges, from 50 MHz up to 890 MHz. The imaging 1-σ sensitivity for SKA1-Low and SKA1-Mid up to 890 MHz is detailed in Table 1, considering a continuum observation with a fractional bandwidth of approximately Δν/νc0.3, alongside an integration time of 1 h.

Table 1
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Table 1. Image sensitivity of SKA1-Low and SKA1-mid within the indicated frequency bands for continuum observations (Braun et al., 2019).

We use the SKA image sensitivity for different ranges of frequencies as summarized in 1.

3 Results

We use the NASA Exoplanet Archive to calculate the radio flux of the confirmed exoplanets. The 83 exoplanets have essential data such as planetary radius and mass, orbital distance, host star radius and mass, and the system’s distance from us information. To estimate Ṁion, we utilized typical mass loss ratios associated with the spectral types of the host stars (Michaud et al., 2011; Puls et al., 1996; Krtička, 2014; Wood et al., 2001; Wargelin and Drake, 2002). According to our analysis, Exoplanets Qatar-4 b, TOI-1278 b, CoRoT-10 b, and HAT-P-20 b exhibit radio emissions that are detectable by the SKA telescope. All these four exoplanets are considered as close-in exoplanets:

TOI-1278 b is a brown dwarf orbiting an M-type star. It has a mass about 18.5 times that of Jupiter and completes its orbit in approximately 14.5 days at a distance of 0.095 au (Artigau et al., 2021). Its estimated radio flux is 85.24±29.88×102μJy, peaking at a frequency of 71±25 MHz.

CoRoT-10 b is classified as a hot/warm Jupiter, with a mass of 2.75MJ. It orbits a K-type star with a period of 13.2 days (Hellier et al., 2019). Its estimated radio flux is 19.24±2.9μJy, with a peak frequency of 229±46 MHz.

Qatar-4 b is another hot Jupiter, significantly more massive at 6.1MJ, and it also orbits a K-type star, completing its orbit in just 1.8 days (Alsubai et al., 2017). Its estimated radio flux is 331.31±59.7μJy, peaking at a frequency of 76±14 MHz.

HAT-P-20 b, yet another hot Jupiter, has a mass of 7.2MJ and orbits a K-type star every 2.9 days (Bakos et al., 2011). Its estimated radio flux is 20.8±1.66×102μJy, with a peak frequency of 141±11 MHz.

All these planets are massive and have short orbital distances, suggesting that mass and proximity to their stars are key factors influencing their radio emissions. Note that, for planets with orbital distances less than 0.1 au which includes these 4 planets, we assume they are tidally locked, meaning their rotation does not significantly affect their radio signals.

Figure 1 displays the distributions of planetary parameters, with exoplanets exhibiting detected radio fluxes depicted in distinct colors. In the upper-left panel, we observe that most exoplanets are situated close to their host stars, with orbital distances less than 0.1 astronomical units (au). This proximity is crucial for detecting their signals; according to the RBL model, the radio emissions from exoplanets increase as their orbital distance decreases. The upper-right panel displays the distances of these exoplanets, highlighting that all four detectable ones are located within 400 pc of Earth. For those farther away, we need to amplify their radiation to make detection possible. One promising method is to use gravitational microlensing, which can enhance the incoming radio flux, thus improving detectability (Bagheri et al., 2024b). In the lower-left panel, we present the relationship between planetary radio flux and emission frequency. The shaded area indicates the frequency range within which the SKA telescope can detect signals. The lower-right panel shows the connection between planetary flux and mass. Some exoplanets, with masses around 10 times that of Jupiter (MJ), exhibit very weak signals. This weakness arises from their long orbital distances, which diminish their emitted signals and make them harder to detect, as shown in the upper-left panel.

Figure 1
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Figure 1. Characteristics of 83 confirmed exoplanets. Exoplanets exhibiting detectable radio signals are highlighted in different colors.

4 Discussion

Our understanding of planetary magnetic fields is predominantly derived from observations within our solar system. Diversifying our investigations and insights into exoplanetary magnetic fields could offer valuable perspectives on their internal dynamics and compositions. Detecting radio emissions from hot Jupiters—particularly even a single one—could provide crucial insights into how these planets respond to extreme environments and how they evolve over time. This information would greatly enhance our understanding of planetary formation, migration patterns, and the mechanisms of atmospheric escape.

In this study, employing the RBL model, we have identified four exoplanets—Qatar-4 b, TOI-1278 b, CoRoT-10 b, and HAT-P-20 b—as potential candidates for detecting radio signals using the forthcoming SKA telescope. These exoplanets are characterized as hot Jupiters. Although ECMI can be generated in hot Jupiter magnetospheres, the escape of these radio emissions from these exoplanets may be hindered by their ionospheres (Koskinen et al., 2013; Weber et al., 2017). The generation of ECMI requires a specific balance between plasma and cyclotron frequencies, with a depleted and highly magnetized plasma being essential for emission (Grießmeier et al., 2007; Zarka et al., 2018). Close-in exoplanets experience significant atmospheric expansion due to factors like tidal forces and XUV-driven heating, leading to the formation of gaseous envelopes around the planets (Shaikhislamov et al., 2020; Johnstone et al., 2018; 2019). Studies suggest that the high plasma densities in these expanded atmospheres may prevent the escape of radio emissions or inhibit the generation of radio waves via ECMI (Weber et al., 2017). Therefore, the RBL model may not be a good estimator of the ECMI of the hot Jupiters (Bagheri et al., 2024a; Turnpenney et al., 2020). Additionally, the RBL model also does not take into account the saturation effect in the interaction between the exoplanet’s magnetic field and the stellar wind’s IMF. This saturation limits how much energy can be transferred from the stellar wind to the magnetosphere, as the merging rate between the two reaches a maximum threshold (Lopez, 2016; Bagheri and Lopez, 2022).

It is noticeable that a significant portion of exoplanets emitting intense radio fluxes do so at frequencies below the sensitivity range of the SKA telescope (below 50 MHz). One method to expand the detection of exoplanets with observable radio signals using current technology involves leveraging microlensing events. These events act as natural amplifiers, their magnification unaffected by the radiation’s wavelength. A notable characteristic of gravitational lensing is the preservation of radiation polarization during the event. Unlike unpolarized stellar plasma radiation, radio emissions from exoplanets exhibit circular polarization (Zarka et al., 2014). Consequently, microlensing events offer a potential means to enhance the detection of exoplanets with observable radio signals (Bagheri et al., 2019; Bagheri et al., 2024b).

Understanding the magnetic fields and magnetospheric emissions of exoplanets represents a cutting-edge scientific frontier for the coming decade, as emphasized in the Origins, Worlds, and Life Planetary Science and Astrobiology Decadal Survey report. This report identifies two Priority Science Question Topics that encompass aspects of planetary magnetic fields and their interaction with the solar wind. These topics are labeled as Q6: “Solid Body Atmospheres, Exospheres, Magnetospheres, and Climate Evolution” and Q12.7: “Exoplanets, Giant Planet Structure and Eevolution” (National Academies of Sciences and Medicine, 2023).

Data availability statement

Publicly available datasets were analyzed in this study. This data can be found here: NASA Exoplanet Archive.

Author contributions

FB: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Visualization, Writing–original draft, Writing–review and editing. AG: Data curation, Methodology, Writing–review and editing. RL: Project administration, Supervision, Writing–review and editing.

Funding

The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. We acknowledge the support of the US National Science Foundation (NSF) under Grant No. 2138122.

Conflict of interest

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Publisher’s note

All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.

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Keywords: planetary radio emissions, ECMI, RBL model, SKA, confirmed exoplanets

Citation: Bagheri F, Garga A and Lopez RE (2024) Exploring radio emissions from confirmed exoplanets using SKA. Front. Astron. Space Sci. 11:1412323. doi: 10.3389/fspas.2024.1412323

Received: 04 April 2024; Accepted: 07 November 2024;
Published: 02 December 2024.

Edited by:

Derek L. Buzasi, Florida Gulf Coast University, United States

Reviewed by:

Sergio B. Fajardo-Acosta, California Institute of Technology, United States
Scott Wolk, Harvard University, United States

Copyright © 2024 Bagheri, Garga and Lopez. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Fatemeh Bagheri, ZmF0ZW1laC5iYWdoZXJpQG5hc2EuZ292

Disclaimer: All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.