Skip to main content

Thank you for visiting You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Brightness modulations of our nearest terrestrial planet Venus reveal atmospheric super-rotation rather than surface features


Terrestrial exoplanets orbiting within or near their host stars’ habitable zone are potentially apt for life. It has been proposed that time-series measurements of reflected starlight from such planets will reveal their rotational period, main surface features and some atmospheric information. From imagery obtained with the Akatsuki spacecraft, here we show that Venus’ brightness at 283, 365, and 2020 nm is modulated by one or both of two periods of 3.7 and 4.6 days, and typical amplitudes  <10% but occasional events of 20–40%. The modulations are unrelated to the solid-body rotation; they are caused by planetary-scale waves superimposed on the super-rotating winds. Here we propose that two modulation periods whose ratio of large-to-small values is not an integer number imply the existence of an atmosphere if detected at an exoplanet, but it remains ambiguous whether the atmosphere is optically thin or thick, as for Earth or Venus respectively. Multi-wavelength and long temporal baseline observations may be required to decide between these scenarios. Ultimately, Venus represents a false positive for interpretations of brightness modulations of terrestrial exoplanets in terms of surface features.


As the search for terrestrial exoplanets advances, and the technology that will enable their characterization matures, it becomes important to establish observational diagnostics that inform us about their surfaces and atmospheres, and testing such diagnostics over a variety of conditions. Time-series measurements of a planet’s reflected starlight potentially provide an avenue to map a planet’s surface as photometric variability and surface inhomogeneity are interconnected.

The idea has been extensively developed1,2,3,4,5,6,7, and convincingly demonstrated for Earth with the Deep Space Climate Observatory (DSCOVR) space-based photometry gathered for more than 2 years and 10 wavelengths from 320 to 780 nm6. The idea is valid if the atmosphere is optically thin (as Earth’s), so that stellar photons reach the surface and escape back to space. In general, it may be non-trivial to determine if a small-mass exoplanet has an atmosphere, let alone if it is thin or thick. Clouds, if present, will interfere with the surface signal and introduce additional temporal variability8, but long-term exposures may filter out such effects1,6.

A key characteristic of the Earth’s brightness modulation is that its periodogram shows a dominant peak at P = 1 day and at the fractional periods \(\frac{1}{2}\), \(\frac{1}{3}\) and \(\frac{1}{4}\) days for all wavelengths in the DSCOVR dataset6. The 1-day signal originates from the Earth’s rotation, whereas the shorter-period signals are related to the details in the distribution of continents and oceans2,6.

Venus is currently outside the so-called habitable zone (HZ, the circumsolar region within which liquid water might occur at the planet’s surface) but it was possibly habitable in the past9. Venus’ equilibrium temperature is Teq = 230 K, not much different from Earth’s Teq = 254 K. A huge greenhouse effect however keeps Venus’ surface temperature at 735 K, too hot to allow for liquid water. It remains unclear at what point Venus drifted into that state if, as is usually thought, both planets might have had similar conditions in their early days10,11.

Exo-Venuses, i.e. planets near the inner boundary of their host stars’ HZ, are expected to be abundant9,12,13. Thus, it is important to devise diagnostics beyond first-order factors such as the orbital distance that will help distinguish between genuine exo-Earths, with mild temperatures suitable for life, and exo-Venuses. The question is complex yet key in the characterization of terrestrial exoplanets and will require multiple approaches to address it.

Here, we show the photometric time series of Venus in anticipation of what might be expected for exo-Venus observations. We find two distinct periods (3.7 and 4.6 days) in the modulation of the reflected sunlight. These periods are  ~60 times shorter than Venus’ solid-body rotational period, and so they are unrelated to the surface. Rather, they originate from the super-rotating background winds and superimposed planetary-scale waves. We show their wavelength dependence at 283, 365, and 2020 nm, and their temporal variability in Venus’ disk-integrated photometry data. We propose that the two distinct nearby peaks are a sign of the existence of an atmosphere, and that a long-baseline campaign of multi-wavelength observations (and the search for temporal variations in them) will help conclude that such an exoplanet might have a Venus-like thick atmosphere. Our study conveys the caution message that distinguishing between brightness modulations associated with the solid-body rotation of an exoplanet or its atmospheric winds will have to be carefully considered in future data analyses of exoplanets.


Multispectral photometry of Venus

We investigated Venus in reflected sunlight using whole-disk imagery produced by the JAXA/Akatsuki spacecraft14 in the ultraviolet (UV) and near infrared (NIR). The images were acquired with the UV camera (UVI) at effective wavelengths of 283 and 365 nm15, and with the NIR camera (IR2) at an effective wavelength of 2020 nm16. Each set of 2–3 images was obtained within 9 min and thus the images in a set can be considered to be nearly simultaneous. The time interval between each set of images is typically 2 h, but can be up to a few days depending on the location of the spacecraft on its highly elliptical orbit.

As the whole disk of Venus can only be imaged from a distance sufficiently far from the planet, we used images taken before or after pericenter passage14. So while Akatsuki revolves around Venus every  ~11 days, it obtains whole-disk images for  ~10 days per orbit during the dayside-monitoring epoch. The sequence of observations alternates every 4 months between dayside- and nightside-monitoring epochs up to one Venusian year (225 days,  ~8 months), when a new dayside–nightside sequence is started. For our analysis, we utilized a total of 5805 (283 nm) and 5840 (365 nm) UVI images obtained between 2015 and 2019, and 354 IR2 images obtained in 2016, at the end of which year the latter camera stopped working (see Methods, subsection “Image processing”, and Supplementary Fig. 1 for details on the data).

We describe Venus’ disk-integrated brightness in the usual form of a geometric albedo × phase law that depends on the Sun–Venus-spacecraft phase angle α but not on the planet’s apparent size (see Eq. (4) in Methods, subsection “Image processing”). Hereafter, we refer to this size-normalized measure of brightness simply as the planet’s brightness or phase-resolved albedo.

In the UV, the brightness generally decreases as α increases (Fig. 1)17. The abrupt variation at small phase angles is the glory, an optical phenomenon due to scattering from narrow-size distributions of cloud droplets18,19,20. The Venusian clouds are very thick (optical thickness τ ~ 30 in the visible21), which prevents the access of the solar photons to the surface at UV-NIR wavelengths on the dayside. They also contain traces of an unknown absorber that produces the dark patterns seen in UV images (Fig. 2) and that absorbs most strongly at 350-380 nm22,23. Absorption by the unknown absorber and the SO2 gas above the clouds reduce the brightness at 283 nm and result in a lower brightness at this wavelength24. Venus’ main atmospheric gas, CO2, absorbs strongly at 2020 nm16,25 above the cloud top level at  ~ 70 km, which reduces the NIR brightness to  < 0.03, an order of magnitude less than in the UV (Fig. 1). The NIR brightness increases for α > 80 due to scattering by the haze that exists above the clouds26,27 and whose relative contribution against CO2 absorption increases for high phase angles.

Fig. 1: Venus phase curves over time.

The color bars indicate Earth days within one orbit (~11 days). The solid black lines are best-fitting 4-degree polynomials for each dataset, which we use as baselines to investigate temporal variations. a From top to bottom, brightness at 2020, 365, and 283 nm between March 31 and October 29, 2016 (gray dots). The largest temporal variation occurred on orbit 20 (color symbols) (See also Fig. 2). b UV brightness from Dec 2015 to Jan 2019 (gray dots). Unusually high brightness variations occurred on orbit 81 (color symbols).

Fig. 2: Variable cloud morphology during orbit 20 (2–10 July 2016).

a Deviation of disk-integrated brightness, %, from the mean phase curve (Fig. 1a). b Venus disk and brightness distributions at 2020 nm. All images show north at the top, white for high radiance, and black for zero radiance, and mostly the afternoon sides are visible. c Same but at 365 nm. d Same but at 283 nm. Roman numerals (I–IV) in a and vertical lines in (bd) indicate three-wavelength images at specific solar phase angles () and times (YYYY-MM-DD HH in UTC). e 2020 nm latitudinal mean radiance [W m−2 str−1 μm−1] at I–IV. f 365 nm latitudinal mean radiance at I–IV. g 283 nm latitudinal mean radiance at I–IV.

The phase-resolved albedo of Fig. 1 and the sequence of images of Fig. 2 demonstrate that Venus’ brightness varies overtime at all three wavelengths. Modulations about the mean conditions are seen at each orbit and over most of the monitored phase angles, thus confirming their persistent nature. Orbits 20 and 81 (Fig. 1; (a) and (b) panels, respectively) exhibit particularly strong modulations with peak-to-peak amplitudes of  ~ 20% in the UV and  ~40% in the NIR (orbit 20) (see Methods, subsection “Mean phase curves and periodicity analysis”, and Supplementary Figs. 3, 5). The amplitude of these modulations at the planetary scale was unknown to date.

The temporal variability in the phase-resolved albedo is clearly seen in our Supplementary Movies 12, and suggests multiple timescales associated with changes in the spatial distribution of absorbers and in the global cloud morphology. There is an anti-correlation between the UV and NIR brightness: an increase in the UV is consistently accompanied by a decrease in the NIR and vice versa. This means that the main absorbers at the wavelengths investigated here (the unknown absorber and SO2 in the UV; CO2 in the NIR) affect the Venus brightness in opposite yet temporally related ways.

The disk-resolved images of Fig. 2 help understand the brightness modulations. Fig. 2a confirms that the UV–NIR brightness is indeed anti-correlated. Each column of images shows a nearly simultaneous snapshot of Venus at the three wavelengths. There is a peculiar, global scale synchronization between low and high latitudes; the NIR modulations occur at all latitudes, including middle and high latitudes (Fig. 2e), while the UV modulations occur mainly although not exclusively at low latitudes (Fig. 2f, g). This previously unknown behavior is likely related to the development of the known ‘Y’-shape feature, which might result from a combination of Kelvin and Rossby atmospheric waves from low to high latitudes28.

Modulations of disk-integrated brightness

At the cloud-top level probed by Akatsuki, the Venus atmosphere rotates in the same direction as the surface but 60–80 times faster28, and thus it takes  ~4–5 days for the zonal winds to circle the planet. This super-rotation occurs simultaneously with the vertical and horizontal oscillations at the cloud top level that drive the NIR and UV modulations in brightness, respectively.

To better characterize the temporal behavior of these modulations, we have defined brightness deviations with respect to a baseline constructed by fitting a 4th-order polynomial to the phase-resolved albedos (Fig. 1). The periodogram of these deviations (Fig. 3) reveals two distinct peaks at P1 ~ 3.7 and P2 ~ 4.6 days. Periods comparable to P1 and P2 have been reported before to describe the modulations in local brightness and wind velocities at Venus29,30,31,32, and used to support their interpretation in terms of waves. The match between our periods and those reported elsewhere is particularly good when we focus separately on the low and middle latitudes, as has been customarily done in previous work (Supplementary Table 1 and Supplementary Fig. 8).

Fig. 3: Periodograms of the deviations (%) in the disk-integrated brightness with respect to the mean phase curve in 2016.

(a) is at 2020 nm; (b) is at 365 nm; (c) is at 283 nm. The numbers in blue indicate the periods in Earth Days. 99% significance levels are also shown.

A period  ~4 days was reported for the whole-disk brightness measurements at 365 nm made by the Pioneer Venus Orbiter spacecraft33. This is, however, the first instance that both periods are clearly identified in the disk-integrated brightness of Venus and at multiple wavelengths. Based on previous investigations at 365 nm29,30,31,32, the P1 and P2 periods are associated with an equatorial Kelvin wave and a mid-latitude Rossby wave moving in the direction of the mean zonal flow at phase speeds somewhat faster and slower than the zonal winds, respectively.

Interestingly, the strengths and widths in the periodogram of the P1- and P2-period signals are very different at each wavelength. Both periods are confidently detected at 365 and 2020 nm, but only P1 is noticeable at 283 nm. This suggests that the impact of each wave on the planet’s brightness is affected by the latitudinal distribution of absorbers and their wavelength-dependence absorption properties (see Methods, subsection “The missing P2 period at 283 nm in the context of Venus studies”).

At low latitudes, both the unknown absorber and SO2 gas are most abundant34,35. Their abundances as a function of altitude decrease rapidly upwards near the cloud top level36,37. The impact of CO2 absorption in the NIR depends on slight changes in the cloud top altitudes38. The equatorial Kelvin wave causes vertical oscillations of all these absorbers at low latitudes29, and consequently P1 is apparent at all wavelengths. At mid-to-high latitudes, the 365 nm brightness shows strong latitudinal variations (dark spiral and bright polar hood39), while the 2020 nm brightness drops steeply towards high latitudes due to the decreasing cloud top altitude38. These mid-to-high latitudinal variations are oscillated horizontally, in the latitudinal direction, by the Rossby wave29, and thus P2 becomes clear at 365 and 2020 nm.

Both the P1- and P2-period signals are recurrent features in Akatsuki’s multi-year time-series of UV brightness measurements. The strength of each signal fluctuates over timescales of a few months (Fig. 4). This long-term evolution seems to follow the evolving viewing/illumination conditions introduced by the motion of Akatsuki and Venus on their orbits, also after removing the mean phase curve baseline. Even considering that the viewing/illumination geometry may affect the brightness deviations to some extent, the steep changes in strength of the P1- and P2-period signals for small changes in phase angle at 283 and 365 nm (Fig. 4) suggest that geometrical effects are not the primary cause of the periodograms’ months-long fluctuations. It appears more credible that these fluctuations reflect real temporal variations in Venus’ atmosphere. This alternating behavior between the P1- and P2-period signals has been described before in disk-resolved brightness investigations31, and is thought to be connected with the processes that sustain the atmospheric super-rotation.

Fig. 4: Long-term evolution of the periodograms at (a) 283 nm and (b) 365 nm.

The periodograms are calculated over 33-day windows (3 × Akatsuki’s orbital period), which are sequentially shifted in steps of 11 days. Mean phase angle (α, in degree) and mean local time (LT, in hours) are marked on the right-hand sides of (a) (b). The power spectral density (PSD) is shown in colors. The white solid line indicates the 99% significant level. c Comparison of PSD cross-sections at P1 (3.9 days) and P2 (4.6 days) (corresponding to the detected peaks in Supplementary Fig. 7) for both wavelengths.


The key features of the Venus periodogram for disk-integrated brightness are (i) it shows a single period (P1) at 283 nm, but two non-fractional periods (P1 and P2, with P1/P2 and P2/P1 ≠ integer number) at 365 and 2020 nm; (ii) the brightness modulations in the UV and NIR are anti-correlated; (iii) the strengths of the P1- and P2-period signals exhibit long-term variations.

The above findings are relevant to the characterization of terrestrial exoplanets in reflected starlight with future space telescopes such as the Large UV/Optical/IR Surveyor (LUVOIR)40 and Habitable Exoplanet Imaging Mission (HabEx)41. The logical next step here is to assess what could be learned from the above key features if they were identified in exoplanet data, and in particular how they could help discern whether the planet has an atmosphere and whether it is optically thin or thick. The exercise sets the basis for differentiating an exo-Venus from an exo-Earth before attempting to map out the planet’s surface.

The detection of a single dominant period in a brightness periodogram does not by itself prove that there is an atmosphere. Indeed, geological inhomogeneities at the surfaces of atmosphere-less objects also produce brightness modulations42. Earth has a thin atmosphere and, for the same reason, the occurrence in its periodogram of a 1-day period (and additional fractional periods) cannot discriminate between a planet with or without an atmosphere. Further information might help if for example it provides evidence against a static surface albedo. This has been explored for Earth with the Transiting Exoplanet Survey Satellite (TESS)43 broadband optical-NIR photometry8, showing that aperiodic brightness fluctuations inconsistent with solid-body rotation hint at a dynamical atmosphere. Although not a terrestrial planet, it is also worth recalling that Neptune’s periodogram, as determined with Kepler/K2 observations44, exhibits a dominant peak at P ~ 17 h and smaller-amplitude peaks near 18 hours. The presence of discrete clouds altering Neptune’s overall reflectance together with differential rotation of the background atmosphere induces the multiple periods. The small amplitude of the brightness modulations (<2%, peak-to-peak in the Kepler/K2 passband) and the close proximity of the periods, which will likely appear as a single period in exoplanet observations, will pose a severe challenge to distinguish Neptune’s periodogram from that of an atmosphere-less object.

Unlike for Earth (or Neptune), the detection of two distinct non-fractional periods in Venus’ periodogram offers insight into the atmosphere. Indeed, it is difficult to reconcile the occurrence of both periods with a surface origin of the associated brightness modulations. This implies that one or both of the periodic signals must originate in the atmosphere. In the first case, one could conceive that the atmosphere is optically thin and P1 (P2) is the planet’s rotational period, and thus the observations are revealing a non-synchronous brightness modulation with a longer (shorter) period P2 (P1) on top of the surface’s rotational modulation. In the second case, which is true for Venus, one could conceive that the atmosphere is optically thick and both the P1- and P2-period signals originate in the atmosphere. The bottom line is that key feature (i) alone reveals the existence of an atmosphere from a Venus-like periodogram. This is not a trivial conclusion as many of the planets that will be targeted by direct imaging will lack information as basic as their mass and radius that is essential to constraining their density and therefore their interior composition. The difficulty to infer the occurrence of an atmosphere with reflected-starlight measurements described above mirrors to some extent the difficulties encountered for close-in terrestrial exoplanets investigated with phase curves and currently available telescopes45.

Key feature (ii) suggests also the existence of an atmosphere that through wavelength-dependent optical thickness effects might affect the brightness modulations with different signs at short and long wavelengths. Last, key feature (iii) requires an atmosphere that evolves over time, although it is not obvious if this sets a valuable constraint on its optical thickness. This latter key feature however demonstrates the importance of observing over a long temporal baseline to capture long-term variations in the planet’s brightness.

In perspective, Venus offers a caution message against future attempts to relate the periods of brightness modulations to the solid-body rotation period of a planet, especially with a single wavelength or over temporal baselines that may not capture the evolution of the dominating planetary-scale waves in the planet’s atmosphere. Multi-wavelength and long-baseline observations, as shown here, will be useful to discriminate between Earth- and Venus-like periodograms, and therefore between both planet types, although probably not unambiguously.


Image processing

The number of images that we collected per Akatsuki orbit is shown in Supplementary Fig. 1. One orbit takes  ~11 days. Orbit 1 started on 7 2015 Dec. The images at the three wavelengths (283, 365, and 2020 nm) were acquired with two cameras: UVI and IR2. IR2 stopped operating toward the end of 2016. UVI has continued imaging Venus since the orbit insertion of the spacecraft. We analyzed images taken until 2019 January (orbit 105).

The radiance measured by UVI is corrected with the ground-measured flat-field, while the public data in DART ( use the on-board diffuser flat-field. The flat conversion factor is publicly available through DART. We multiply the calibration correction factors (β) by the measured radiance: β283 = 1.886, β365 = 1.525, as described in Yamazaki et al.15. These are mean correction factors based on star observations between years 2010 and 2017, and are very close to the values reported in Yamazaki et al.15. The radiance measured by IR2 has a dependence on the sensor temperature. We correct for this dependence as described in Satoh et al.46:

$${I}_{{\rm{corr}}}=\left\{\begin{array}{ll}{I}_{{\rm{orig}}}/\left[1.0-{p}_{59\,{\rm{K}}}{\left(\frac{T-{T}_{0}}{59-{T}_{0}}\right)}^{2}\right]&{\rm{for}}\,T\,<\, {T}_{0},\\ {I}_{{\rm{orig}}}/\left[1.0-{p}_{70\,{\rm{K}}}{\left(\frac{T-{T}_{0}}{70-{T}_{0}}\right)}^{2}\right]&{\rm{for}}\,T\ge {T}_{0},\end{array}\right.$$

where Icorr is the corrected radiance, Iorig is the measured radiance, p59 K = 0.13, p70K = 0.25, T0 = 65.2 K, and T is the temperature of the sensor. We used images that had been treated by deconvolution of the point spread function (PSF), so the Venus image is sharper. The deconvolved IR2 images are available from the PI of the IR2 camera upon request.

We calculated the disk-integrated flux (units of W m−2μm−1) from

$${F}_{{\rm{Venus}}}(\alpha ,\lambda ,t)={\sum }_{r\,{<}\,{r}_{o}}{I}_{{\rm{corr}}}(x,y)\times {\Omega }_{{\rm{pix}}},$$

where (xy) stands for pixel location on the image, Ωpix is the pixel solid angle, r is the distance of (xy) from the Venus disk center, and ro is the integration limit for the aperture photometry. We adopted ro = rVenus radius + rPSF, where rPSF is the extent of the point spread function (7 pixels for UVI, 25 pixels for IR2). The PSF of the IR2 images is known to be wide16, so we used the quoted value as a fine balance between signal and the required area of integration within the limited field of view (FOV, 12 × 12). The center of Venus was found using the limb-fitting process47. We subtracted from the aperture photometry the background noise per pixel, estimated as the mean radiance over an outer ring around Venus between 40 and 70 pixels away from rVenus radius for UVI, and between 60 and 90 pixels for IR2.

The solid angle of Venus, ΩVenus, is calculated as

$${\Omega }_{{\rm{Venus}}}=\pi {\left({\sin }^{-1}\left(\frac{{R}_{\text{Venus radius}}}{{d}_{{\rm{V}}-{\rm{obs}}}}\right)\right)}^{2},$$

where RVenus radius is the radius of Venus considering the cloud top altitude (=6052+70 km), and dV−obs is the distance of the spacecraft from Venus in km.

Venus’ brightness or phase-resolved albedo, as used in our work, is calculated through the following equation48:

$${A}_{{\rm{disk}}-{\rm{int}}}(\alpha ,\lambda ,t)=\frac{\pi }{{\Omega }_{{\rm{Venus}}}}\frac{{{{\rm{d}}}_{{\rm{V}}-{\rm{S}}}(t)}^{2}{F}_{{\rm{Venus}}}(\alpha ,\lambda ,t)}{{S}_{\odot }(\lambda )},$$

where dV−S(t) is the distance from Venus to the Sun [AU] at the time of observation t, ΩVenus is the Venus solid angle (Eq. (3)), and S(λ) is the solar irradiance at 1 AU (W  m−2 μm−1) considering the transmittance functions of each filter. S(λ) is taken from two sources. Near 365 and 2020 nm, we use the Smithsonian Astrophysical Observatory reference spectrum 201049. Near 283 nm, we use the SORCE SIM Solar Spectral Irradiance (SSI) data ( after applying a 30-day running average. The Adisk-int calculated in this study can be found in our Supplementary Data 1–3.

Mean phase curves and periodicity analysis

We estimated mean phase curves for the disk-integrated brightness at each wavelength \(\overline{{A}_{\lambda }}(\alpha )\) in 2016 (Supplementary Fig. 2). At the UV wavelengths, α = 0–20 was excluded to avoid the glory features17,18,19,20. The deviation of individual brightness measurements from the mean curve is calculated as

$${A}_{{\rm{devi}},\lambda }(t)=\frac{{A}_{{\rm{disk}}-{\rm{int}},\lambda }(\alpha ,t)-\overline{{A}_{\lambda }}(\alpha )}{\overline{{A}_{\lambda }}(\alpha )}\times 100[ \% ].$$

This helps remove the phase angle dependence from the brightness measurements, and allows us to focus on the time series for Adevi,λ(t). Examples of deviations for orbit 20 (Fig. 1) are shown in Supplementary Fig. 3. The time series are subsequently used for the periodicity analysis (Fig. 3). To that end, we use the EFFECT software50 with the algorithm in Deeming et al.51. The periodicity caused by the irregular data sampling, the so-called spectral window, has also been checked to look for overlapped peaks (none in our results). We repeated the same procedure for the entire 283 and 365 nm images (Supplementary Figs. 4–6). The full-time series at the three wavelengths are shown in Supplementary Fig. 6. We used those at UV for the periodicity analysis over years 2015–2019 (Supplementary Fig. 7).

Interestingly, the periodograms evolve over the multi-year span of our dataset. This evolution translates into relative variations in the strength of the P1- and P2-period peaks. The temporal evolution of the UV periodograms is shown in Fig. 4. For this particular figure, we used (; implementation from Press and Rybicki52) that is particularly efficient to process large data sets. We confirm the temporal variation in the signal strength from disk-integrated photometry for each of these periods, associated with Kelvin and Rossby planetary-scale waves, a finding consistent with what has been reported for disk-resolved photometry in previous studies29,30,31,32. For example, Imai et al.31 (their Fig. 10) reported a transition from P1 to P2 at 365 nm from July to September 2017. This is also seen in Fig. 4b, where the peak shifts from P1 to P2 from September to October in 2017 at 365 nm. We also note a clear shift in the identified periods from P1 to P2 in December 2018 at both 283 and 365 nm. The findings from our disk-integrated approach are also consistent with those from Nara et al.32, who report a clear P1 signal at low and middle latitudes in June 2018. Indeed, we can see in our Fig. 4a–b a very strong signal of P1 in June 2018.

The missing P2 period at 283 nm in the context of Venus studies

It is noteworthy that the periodogram at 283 nm (Fig. 3c) contains only evidence for the P1 period. We propose that the P2 period is missing at 283 nm because of the weaker absorption of the unknown absorber at this wavelength and the smooth latitudinal variation of SO237; both properties attenuate possible horizontal disturbances introduced by the Rossby wave. Additionally, increased Rayleigh scattering at 283 nm, especially in a slanted view, may suppress the specific signal of the mid-latitude Rossby wave. Also noteworthy, the P2-period signal in the periodogram at 365 nm is significantly broader than the other peaks, a possible outcome of the stronger north–south asymmetry in brightness and wind speeds at this wavelength relative to 283 nm53,54.

Data availability

The UVI (level 3x products) and IR2 (level 3x geometry products) data that support the findings of this study are available in the JAXA archive website,, with the identifiers and, respectively. Deconvolved IR2 images are available from the PI of IR2 upon request, because the data are still experimental and subject to revision with an improved point spread function. All procedures of IR2 data improvement are documented and archived by the PI. Our disk-integrated brightness data are provided with this paper as Supplementary Data 1–3.

Code availability

EFFECT software50 is used for the periodicity analysis and ( is used to temporal evolution of the UV periodograms.


  1. 1.

    Ford, E. B., Seager, S. & Turner, E. L. Characterization of extrasolar terrestrial planets from diurnal photometric variability. Nature 412, 885–887 (2001).

    ADS  CAS  PubMed  Google Scholar 

  2. 2.

    Pallé, E., Ford, E. B., Seager, S., Montañés-Rodríguez, P. & Vazquez, M. Identifying the rotation rate and the presence of dynamic weather on extrasolar earth-like planets from photometric observations. Astrophys. J. 676, 1319–1329 (2008).

    ADS  Google Scholar 

  3. 3.

    Cowan, N. B. et al. Alien maps of an ocean-bearing world. Astrophys. J. 700, 915–923 (2009).

    ADS  Google Scholar 

  4. 4.

    Fujii, Y. & Kawahara, H. Mapping Earth analogs from photometric variability: spin-orbit tomography for planets in inclined orbits. Astrophys. J. 755, 101 (2012).

    ADS  Google Scholar 

  5. 5.

    García Muñoz, A. Towards a comprehensive model of Earth’s disk-integrated Stokes vector. Int. J. Astrobiol. 14, 379–390 (2015).

    ADS  Google Scholar 

  6. 6.

    Jiang, J. H. et al. Using Deep Space Climate Observatory Measurements to study the Earth as an exoplanet. Astron. J. 156, 26 (2018).

    ADS  Google Scholar 

  7. 7.

    Berdyugina, S. V. & Kuhn, J. R. Surface imaging of proxima b and other exoplanets: albedo maps, biosignatures, and technosignatures. Astron. J. 158, 246 (2019).

    ADS  Google Scholar 

  8. 8.

    Luger, R., Bedell, M., Vanderspek, R. & Burke, C. J. TESS photometric mapping of a terrestrial planet in the habitable zone: detection of clouds, oceans, and continents. Preprint at (2019).

  9. 9.

    Way, M. J. et al. Was Venus the first habitable world of our solar system? Geophys. Res. Lett. 43, 8376–8383 (2016).

    ADS  CAS  PubMed  PubMed Central  Google Scholar 

  10. 10.

    Matsui, T. & Abe, Y. Impact-induced atmospheres and oceans on Earth and Venus. Nature 322, 526–528 (1986).

    ADS  Google Scholar 

  11. 11.

    Chassefière, E., Wieler, R., Marty, B. & Leblanc, F. The evolution of Venus: present state of knowledge and future exploration. Planet. Space Sci. 63, 15–23 (2012).

    ADS  Google Scholar 

  12. 12.

    Kane, S. R. et al. Venus as a laboratory for exoplanetary science. J. Geophys. Res. (Planets) 124, 2015–2028 (2019).

    ADS  Google Scholar 

  13. 13.

    Ostberg, C. & Kane, S. R. Predicting the yield of potential venus analogs from TESS and their potential for atmospheric characterization. Astron. J. 158, 195 (2019).

    ADS  CAS  Google Scholar 

  14. 14.

    Nakamura, M. et al. AKATSUKI returns to Venus. Earth, Planets, Space 68, 75 (2016).

    ADS  Google Scholar 

  15. 15.

    Yamazaki, A. et al. Ultraviolet imager on venus orbiter Akatsuki and its initial results. Earth, Planets Space 70, 23 (2018).

    Google Scholar 

  16. 16.

    Satoh, T. et al. Performance of Akatsuki/IR2 in Venus orbit: the first year. Earth, Planets, Space 69, 154 (2017).

    ADS  Google Scholar 

  17. 17.

    Mallama, A., Wang, D. & Howard, R. A. Venus phase function and forward scattering from H2SO4. Icarus 182, 10–22 (2006).

    ADS  Google Scholar 

  18. 18.

    García Muñoz, A., Pérez-Hoyos, S. & Sánchez-Lavega, A. Glory revealed in disk-integrated photometry of Venus. Astron. Astrophys. 566, L1 (2014).

    ADS  Google Scholar 

  19. 19.

    Markiewicz, W. J. et al. Glory on Venus cloud tops and the unknown UV absorber. Icarus 234, 200–203 (2014).

    ADS  CAS  Google Scholar 

  20. 20.

    Lee, Y. J. et al. Scattering properties of the Venusian clouds observed by the UV Imager on board Akatsuki. Astron. J. 154, 44 (2017).

    ADS  Google Scholar 

  21. 21.

    Ragent, B., Esposito, L. W., Tomasko, M. G., Marov, M. I. & Shari, V. P. Particulate matter in the Venus atmosphere. Adv. Space Res. 5, 85–115 (1985).

    ADS  CAS  Google Scholar 

  22. 22.

    Zasova, L. V., Krasnopolskii, V. A. & Moroz, V. I. Vertical distribution of SO2 in upper cloud layer of Venus and origin of U.V.-absorption. Adv. Space Res. 1, 13–16 (1981).

    ADS  CAS  Google Scholar 

  23. 23.

    Pérez-Hoyos, S. et al. Venus upper clouds and the UV absorber From MESSENGER/MASCS observations. J. Geophys. Res. (Planets) 123, 145–162 (2018).

    ADS  Google Scholar 

  24. 24.

    Marcq, E. et al. Climatology of SO2 and UV absorber at Venus’ cloud top from SPICAV-UV nadir dataset. Icarus 335, 113368 (2020).

    CAS  Google Scholar 

  25. 25.

    García Muñoz, A. & Mills, F. P. The June 2012 transit of Venus. Framework for interpretation of observations. Astron. Astrophys. 547, A22 (2012).

    ADS  Google Scholar 

  26. 26.

    Wilquet, V. et al. Preliminary characterization of the upper haze by SPICAV/SOIR solar occultation in UV to mid-IR onboard Venus Express. J. Geophys. Res. (Planets) 114, E00B42 (2009).

    Google Scholar 

  27. 27.

    Luginin, M. et al. Aerosol properties in the upper haze of Venus from SPICAV IR data. Icarus 277, 154–170 (2016).

    ADS  CAS  Google Scholar 

  28. 28.

    Sánchez-Lavega, A., Lebonnois, S., Imamura, T., Read, P. & Luz, D. The atmospheric dynamics of Venus. Space Sci. Rev. 212, 1541–1616 (2017).

    ADS  Google Scholar 

  29. 29.

    Del Genio, A. D. & Rossow, W. B. Planetary-scale waves and the cyclic nature of cloud top dynamics on Venus. J. Atmos. Sci. 47, 293–318 (1990).

    ADS  Google Scholar 

  30. 30.

    Kouyama, T., Imamura, T., Nakamura, M., Satoh, T. & Futaana, Y. Long-term variation in the cloud-tracked zonal velocities at the cloud top of Venus deduced from Venus Express VMC images. J. Geophys. Res. (Planets) 118, 37–46 (2013).

    ADS  Google Scholar 

  31. 31.

    Imai, M. et al. Planetary-scale variations in winds and UV brightness at the Venusian cloud top: periodicity and temporal evolution. J. Geophys. Res. (Planets) 124, (2019).

  32. 32.

    Nara, Y. et al. Vertical coupling between the cloud-level atmosphere and the thermosphere of venus inferred from the simultaneous observations by Hisaki and Akatsuki. J. Geophys. Res. (Planets) 125, e06192 (2020).

    Google Scholar 

  33. 33.

    Del Genio, A. D. & Rossow, W. B. Temporal variability of ultraviolet cloud features in the Venus stratosphere. Icarus 51, 391–415 (1982).

    ADS  Google Scholar 

  34. 34.

    Lee, Y. J., Imamura, T., Schröder, S. E. & Marcq, E. Long-term variations of the UV contrast on Venus observed by the Venus Monitoring Camera on board Venus Express. Icarus 253, 1–15 (2015).

    ADS  CAS  Google Scholar 

  35. 35.

    Encrenaz, T. et al. HDO and SO2 thermal mapping on Venus. IV. Statistical analysis of the SO2 plumes. Astron. Astrophys. 623, A70 (2019).

    CAS  Google Scholar 

  36. 36.

    Pollack, J. B. et al. Distribution and source of the UV absorption in Venus’ atmosphere. J. Geophys. Res. 85, 8141–8150 (1980).

    ADS  Google Scholar 

  37. 37.

    Vandaele, A. C. et al. Sulfur dioxide in the Venus atmosphere: I. Vertical distribution and variability. Icarus 295, 16–33 (2017).

    ADS  CAS  Google Scholar 

  38. 38.

    Sato, T. et al. Dayside cloud top structure of venus retrieved from akatsuki ir2 observations. Icarus 345, 113682 (2020).

  39. 39.

    Titov, D. V. et al. Morphology of the cloud tops as observed by the Venus Express Monitoring Camera. Icarus 217, 682–701 (2012).

    ADS  Google Scholar 

  40. 40.

    Bolcar, M. R. et al. Initial technology assessment for the Large-Aperture UV-Optical-Infrared (LUVOIR) mission concept study. In (eds MacEwen, H. A., Fazio, G. G. & Lystrup, M.) Space Telescopes and Instrumentation 2016: Optical, Infrared, and Millimeter Wave Vol. 9904, 99040J (Proceedings of the SPIE, 2016).

  41. 41.

    Mennesson, B. et al. The Habitable Exoplanet (HabEx) Imaging Mission: preliminary science drivers and technical requirements. In (eds MacEwen, H. A., Fazio, G. G. & Lystrup, M.) Space Telescopes and Instrumentation 2016: Optical, Infrared, and Millimeter Wave Vol. 9904, 99040L (Proceedings of the SPIE, 2016).

  42. 42.

    Fujii, Y., Kimura, J., Dohm, J. & Ohtake, M. Geology and photometric variation of solar system bodies with minor atmospheres: implications for solid exoplanets. Astrobiology 14, 753–768 (2014).

    ADS  PubMed  PubMed Central  Google Scholar 

  43. 43.

    Ricker, G. R. et al. Transiting Exoplanet Survey Satellite (TESS). J. Astronomical Telescopes Instrum. Syst. 1, 014003 (2015).

    ADS  Google Scholar 

  44. 44.

    Simon, A. A. et al. Neptune’s dynamic atmosphere from Kepler K2 observations: implications for brown dwarf light curve analyses. Astrophys. J. 817, 162 (2016).

    ADS  PubMed  PubMed Central  Google Scholar 

  45. 45.

    Kreidberg, L. et al. Absence of a thick atmosphere on the terrestrial exoplanet LHS 3844b. Nature 573, 87–90 (2019).

    ADS  CAS  PubMed  Google Scholar 

  46. 46.

    Satoh, T., Vun, C. W., Kimata, M., Horinouchi, T. & Sato, T. M. Venus night-side photometry with “cleaned” Akatsuki/IR2 data: Aerosol properties and variations of carbon monoxide, Icarus, in press, 114134 (2020). 

  47. 47.

    Ogohara, K. et al. Overview of Akatsuki data products: definition of data levels, method and accuracy of geometric correction. Earth, Planets, Space 69, 167 (2017).

    ADS  Google Scholar 

  48. 48.

    Sromovsky, L. A., Fry, P. M., Baines, K. H. & Dowling, T. E. Coordinated 1996 HST and IRTF imaging of Neptune and Triton. II. Implications of disk-integrated photometry. Icarus 149, 435–458 (2001).

    ADS  CAS  Google Scholar 

  49. 49.

    Chance, K. & Kurucz, R. L. An improved high-resolution solar reference spectrum for earth’s atmosphere measurements in the ultraviolet, visible, and near infrared. J. Quant. Spectrosc. Radiat. Transf. 111, 1289–1295 (2010).

    ADS  CAS  Google Scholar 

  50. 50.

    Goranskij, V. P., Metlova, N. V. & Barsukova, E. A. UBV photometry of X-ray system with M2 III type red giant V934 her (4U 1700+24). Astrophys. Bull. 67, 73–81 (2012).

    ADS  Google Scholar 

  51. 51.

    Deeming, T. J. Fourier analysis with unequally-spaced data. Astrophys. Space Sci. 36, 137–158 (1975).

    ADS  MathSciNet  MATH  Google Scholar 

  52. 52.

    Press, W. H. & Rybicki, G. B. Fast algorithm for spectral analysis of unevenly sampled data. Astrophys. J. 338, 277 (1989).

    ADS  Google Scholar 

  53. 53.

    Horinouchi, T. et al. Mean winds at the cloud top of Venus obtained from two-wavelength UV imaging by Akatsuki. Earth Planets Space 70, 10 (2018).

    ADS  Google Scholar 

  54. 54.

    Kopparla, P., Lee, Y. J., Imamura, T. & Yamazaki, A. Principal components of short-term variability in the ultraviolet albedo of venus. Astron. Astrophys. 626, A30 (2019).

    ADS  Google Scholar 

  55. 55.

    Murakami, S. et al. Venus climate orbiter akatsuki uvi longitude-latitude map data v1.0, jaxa data archives and transmission system (2018).

  56. 56.

    Murakami, S. et al. Venus climate orbiter akatsuki ir2 longitude-latitude map data v1.0, jaxa data archives and transmission system (2018).

Download references


The authors thank the Akatsuki team. Y.J.L. thanks Dr. Aleksandar Chaushev for discussion. Y.J.L. has received funding from EU Horizon 2020 MSCA-IF No. 841432.


Open Access funding enabled and organized by Projekt DEAL.

Author information




Y.J.L. and A.G.M. prepared the manuscript. A.G.M. conceived the main strategy, and Y.J.L. performed the data analysis and prepared figures. Y.J.L., A.G.M., T.I. interpreted the results. Y.J.L, and Y.M. worked on the UVI data quality maintenance. T.S. is the PI of IR2 and performed the calibration of IR2 data. A.Y. and S.W. maintained the UVI operation, and S.W. is the PI of UVI.

Corresponding author

Correspondence to Y. J. Lee.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Peer review information Nature Communications thanks Rodrigo Luger and Fredric Taylor for their contribution to the peer review of this work. Peer reviewer reports are available.

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Lee, Y.J., García Muñoz, A., Imamura, T. et al. Brightness modulations of our nearest terrestrial planet Venus reveal atmospheric super-rotation rather than surface features. Nat Commun 11, 5720 (2020).

Download citation


By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.


Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing