21 November 2017 A solar diameter metrology measurement: the Picard microsatellite program
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Proceedings Volume 10569, International Conference on Space Optics — ICSO 2000; 1056914 (2017) https://doi.org/10.1117/12.2307872
Event: International Conference on Space Optics 2000, 2000, Toulouse Labège, France
The PICARD microsatellite mission will provide 3 to 4 years simultaneous measurements of the solar diameter, differential rotation and solar constant to investigate the nature of their relations and variabilities. The major instrument, SODISM, is a whole Sun imaging telescope of Ø110 mm which will deliver an absolute measure (better than 4 mas) of the solar diameter and solar shape. Now in Phase B, PICARD is expected to be launched by 2005. We recall the scientific goals linked to the diameter measurement with interest for Earth Climate, Space Weather and Helioseismology, present the instrument optical concept and design, and give a brief overview of the program aspects.

Toulouse Labège, France

5–7 December 2000

Edited by George Otrio




SODISM was first proposed in 1997 for the Space Station program before being accepted in 1998 as one of the two first CNES microsatellite missions.

The solar energy is one of the major driving inputs for terrestrial climate. Some evidences of correlations exist between surface temperature changes and solar activity. It is then important to know on what time scale the solar irradiance and other fundamental solar parameters, like the diameter, vary in order to better understand and assess the origin and mechanisms of the terrestrial climate changes.

Global effects, such as diameter changes, large convective cells, the differential rotation of the Sun’s interior and the solar dynamo at the base of the convective zone, can probably produce variations in the total irradiance or, at least, correlate with these variations associated, during maximum, with the changing emission of bright faculae and the magnetic network. The aim of these correlations is double: on one side prediction and on the other explanation of the past history of climate, like the Maunder minimum period.

To establish long-term links and trends between solar variability and climate changes, it is necessary to achieve not only high precision but also absolute measurements, what the diameter measurements of PICARD shall bring. Further, this high precision allows "instantaneous" monitoring of the diameter changes, i.e., with a proper orbit for the microsatellite, oscillations and, in particular, the gravity modes.



Why the diameter?

From 1666 to 1719, Jean Picard and his student Philippe de la Hire measured the solar diameter, observed the sunspots and determined the Sun rotation velocity. Fortunately, these measurements covered the Maunder minimum and some time after. The data were re-examined by Ribes et al. (1987) who, after removing the seasonal variation of the solar diameter, obtained the annual means at 1 AU. These values, averaged for the Maunder minimum period, and after while the Sun recovered a significant activity, show a definitive difference of the order of 0.5 to 1 arcsec, corresponding to a larger Sun diameter during the Maunder minimum. As expected, few sunspots were observed. Moreover, Picard’s data also showed a slow down of the Sun rotation velocity at equator and significantly more sunspots in the south Sun hemisphere than in the north.

Diameter and Earth’s climate

The solar constant measurements performed in space by the radiometers since 1978 were modeled using the sunspots number and faculae. This allowed to reconstruct the solar constant variation till 1610 (Lean, 1997). This showed that the solar constant experienced a significant decrease during the Maunder minimum. The temperature in the northern hemisphere has been also reconstructed for the same period. The cooling of this period is known as the Little Ice Age. The similarity of the temperature and solar constant variations strongly suggests the Maunder minimum as the cause of the Little Ice Age. To assess this suggestion, climate models were run by Sadourny (1994) that showed the Maunder minimum as the possible cause of the Little Ice Age. Volcanic eruptions (major ones) also play a certain role, but their effects do not extent more than a few years.

As during the Maunder minimum where, as suggested by Picard’s data, the Sun radius experienced a significant change, the modern data of Sun diameter measurements and sunspots number, set together by Laclare et al. (1996), reveal a relation between the Sun radius and solar constant variations corresponding to an increase of the Sun radius for a decrease of the solar constant (cf. Fig. 1). Therefore, in order to establish experimentally without ambiguity the Sun constant and diameter relationship, we propose to operate from space by measuring simultaneously both quantities from the same platform and in non-magnetic lines or continua. The importance of the measurements for climatology is straightforward taking into account the Little Ice Age and the Maunder minimum events.

Fig. 1:

Artist view of PICARD microsatellite, 60×60×80 cm3 in size. Shown are the 3 instruments of the payload: SODISM, telescope and guiding, right, SOVAP, differential radiometer, center, and PREMOS (flux monitors) left, near the solar panels. In the back, one can see the electronics box supporting two S-band antennae and a solar pointer (acquisition maneuvers).


Fig. 2:

Opposing phase observed between the sunspots number and the semi-diameter measured at CERGA’s Astrolabe from 1978 to1998 (by courtesy of F. Laclare).


Prediction and precision

The total solar irradiance measure made by radiometers from space over the last 20 years, is excellent in relative terms (10-5) but poor in absolute. The amplitude of the variation over the cycle (0.1 %) is small and is about the same than the uncertainty on the absolute value from one instrument to the other. Prediction tendency of climate change from such data is not straightforward and adjustment of data sets of different origins an art (cf. Fröhlich and Lean, 1998). On the contrary, and if the relation irradiance-diameter is established by PICARD, the diameter measure which is precise, reproducible and absolute to 4 mas (or even better when the HIPPARCOS data will be recalibrated by FAME or GAIA) and which, accordingly to Laclare et al. (1996), has an amplitude over the solar cycle of 0.4 arcsec or so, provides a proper — and quantified — sampling of the activity change over the cycle. Furthermore, the diameter measure will be done in the visible but also in the UV at 230 nm a wavelength band much more variable (6 to 8%) with the solar cycle and well known for its role in the chemistry of ozone, incidentally one of the possible links between solar activity and Earth climate.

Lyman alpha monitoring

Lyman alpha irradiance has been monitored since 1977 and more recently by UARS since 1991. The SORCE satellite will be launched in late 2002 and it will also monitor Lyman alpha irradiance. Since these irradiance monitoring experiments observe the Sun as a star, there is no information about the physical causes of the observed irradiance changes. To identify the causes of changes in Lyman alpha, one needs to compare the full disk irradiance data with images. PICARD will provide high spatial resolution (1 arcsec) and continuous (every 45 minutes) Lyman alpha images which will complement the SORCE measurements. These images will make possible to better account for the observed Lyman alpha changes and also for a better reconstruction of the long-term Lyman alpha data set. Lyman-alpha irradiance is important for the ozone changes and for the formation of the ionospheric D-region in the Earth’s atmosphere. Its understanding should result in significant progress in atmospheric science and aeronomy.


Another major objective of PICARD is to attempt the detection of the gravity modes (g-modes) of the Sun. These modes are of prime importance to understand the structure and dynamics of the solar core which cannot be studied by using solar pressure modes (p-modes) alone. So far the g-modes have not been discovered by any set of instruments onboard the SOHO spacecraft (Appourchaux et al., 2000). The 1-σ upper limit of g-modes amplitude at around 200 µHz is typically 1 mm/s or 0.1 ppm (Fröhlich et al., 1998). Given a velocity amplitude of 1 mm/s at 200 µHz, the displacement of the solar surface would be of about 1.6 m p-p which is equivalent to a variation of solar radius of about 2 µarcsec. This level could be marginally detected by PICARD although not the method used for detecting the g-modes. Nevertheless, it is worth noticing that MDI/SOHO was able to — without an optimized telescope and imaging scheme as we have — to observe a 10 µarcsec high frequency p-mode (5 min.) solar limb oscillation signal (Kuhn et al., 1997).

With PICARD we want to detect intensity fluctuations at the solar limb that will perturb the equivalent solar radius signal. Appourchaux and Toutain (1998) reported to have detected p-modes using the limb data of the LOI instrument. In some case the amplification with respect to full-disk integrated data is about 4, i.e. it means that a p-mode with an amplitude of 1 ppm in full disk is observed with an amplitude of 4 ppm at the limb (cf. Damé et al., 1999). Analyses of Toutain et al. (1999) and Toner et al. (1999) confirmed such an amplification factor of 5. If we hope that the same amplification factor holds for the g-modes, we may detect them faster with the limb data of PICARD than with the SOHO data. A pessimistic derivation gave 20 years for the detection of the first few g-modes with SOHO (Fröhlich et al., 1998). With PICARD we can seriously envisage detecting them in less than 2 years with the amplification factor above.



SODISM is a simple telescope of useful diameter 110 mm. It forms a complete image of the Sun on a large, back thinned, CCD of 2048 × 2048 useful pixels (EEV-4280). The pixel, 13.5 µm, corresponds to 1.05 arcsec (at 1 AU) and the effective spatial resolution is also about an arcsec (at the limb). SODISM observes in 4 wavelengths bands the whole Sun (230 nm, 548 nm, 160 nm and Lyman alpha) and 2 calibration channels (cf. Table 1) accessible through the use of 2 cascading filterwheels, each with 5 positions.

Table 1:

Observing and calibration modes of SODISM/PICARD.

UV nominal mode230 nm
Visible548 nm
Active regions160 nm
Prominences and ionosphereLyman alpha
CCD Flat Field"Diffusion"
Scaling factor"Star field"

Operational modes

The main observing wavelength is 230 nm (8 nm bandwidth). It corresponds to a mostly flat UV continuum formed in the high photosphere. It is the best possible choice of wavelength since it is sensitive to UV variations (about half of the MgII index variability for instance), it corresponds to the ozone bands (and by chemical interaction in the stratosphere, the UV may affect the stratospheric dynamics and, consequently, the clouds coverage — which may be one of the paths of the Sun influence on the Earth’s climate) and the limb darkening in this continuum is limited.

In addition, SODISM/PICARD observes 548 nm which is near the center wavelength of the 100 nm bandpass used by Francis Laclare CERGA’s group for the solar diameter measurement with the Astrolabe (and, in the near future, with the new DORAYSOL instrument). The 160 nm and Lyman alpha filters are used for identification of active regions and prominences. This is essential to prevent activity manifestations to affect the "quiet" radius determination. This possibility to avoid, in the diameter computation, the pixels at the limb affected by faculae, active regions, prominences, sunspots or pores, is an essential feature of SODISM/PICARD since activity, therefore, does not add noise to the diameter measure (active solar pixels are not accounted).

The diffusion plates are simply used to monitor the CCD response and sensitivity (Flat Field). The CCD itself is a complete state-of-the-art system (EEV 4280 2048×4096 pixels back thinned and with frame transfer) hopefully developed in parallel of our program for the asteroseismology satellite program COROT.

Finally, specific to PICARD — and providing an ABSOLUTE diameter reference better than 4 mas (milliarcsec)—is the "Star field" channel. It provides access to stellar fields in which (with a limit magnitude of 6 or so) stars’ triplets (and more: field with 5 and 6 stars are also available) of the HIPPARCOS reference catalog are imaged, allowing to scale our diameter measure and, if required, to identify and to follow any structural change in the focus or CCD dimensions which could affect the diameter measure.



SODISM has a sound optical concept allowing to achieve a near distortion free and dimensionally stable image of the solar limb. It has a symmetry of revolution (no complex optics — filters at normal incidence — nothing else than the two mirrors and a filter set in the optical path) and a single telescope-detector-guiding telescope support structure for common referencing and stability (cf. Fig. 3). The telescopes mirrors are made of SiC without coatings (reflectivity of 35–40 % in the UV and yet 20 % in the visible). Advantage is indeed that the photometry will not change by aging and degradation of coatings since there are no coatings. Further, the primary and secondary mirrors will help to remove 96 % of the visible solar flux, preserving the filters from degradation and, due to the high conductivity of SiC, this flux will be evacuated to external radiators.

Fig. 3:

Schematic of the optical setup of SODISM main imaging telescope and guiding telescope.


The instrument is 600 mm long. The telescope itself is 350 mm (primary to secondary) and 150 mm (primary to focal plane). The primary mirror is 120 mm, 110 mm being used. The secondary mirror is 34 mm (and 7 mm thick) but only 24 mm or so are really used. For fine pointing needs, the primary mirror is mounted on a triad of piezoelectrics (at 120°). This allows to limit the blur during the nominal 1 second exposure to 0.1". Because of the diffraction and pixel size (13.5 µm, 1.05") this prevents to affect the diameter measure (inflexion point measurement).

The SiC is highly conductive and preserve the photometry of the experiment since it will not degrade even under an intensive solar flux. We use the conductivity property of the SiC mirrors themselves to eliminate most of the incoming solar flux. This, however, results in a flux distribution on the secondary (Fig. 4) that, even though the very high conductivity, creates a gradient of temperature and thus (Fig. 5) a deformation of the mirror surface (small, a few nm) still sufficient to induce, between the "hot case" (the Sun) and the cool case (the stellar absolute calibration) a residual systematic error of 12 mas on the diameter. The same phenomena occurs on the primary mirror but with reduced consequences (homogeneous illumination), still inducing a systematic error but of - 2 mas, thus partially conpensating the one of the secondary mirror.

Fig. 4:

Flux concentration on the secondary mirror surface (Ø34 mm) and resulting temperature gradient inside the mirror (thickness: 7 mm).


Fig. 5:

Effect of the temperature gradient in the SiC on the mirror surface (curvature) is small (a few nm) but not negligible. It will produce, back in the image plane, a systematic error of about 12 mas on the diameter measure. This error can be accounted for or reduced by changing the temperature setling point by - 4°C to 16°C. Doing so, the resulting maximum error in the whole field of view would be below 0.4 mas.


Note that these systematic errors can be either accounted for in the data reduction process (others are like the diffraction, 4 mas, the sampling, 7 mas, etc.) or conpensated directly to an excellent precision by simply changing the temperature set point of the mirror from 20°C to 16°C. This 4°C difference (including a ± 0.15° tolerance on the setling point) would reduce the maximumu error, in the whole field of view to a very small 0.4 mas.

Another important source of error is the CCD imaging device itself. Since the solar image (or stellar field) on the CCD pixels is the distance measurement reference, any change in the CCD dimensions will result in a change of the apparent solar diameter (or stellar distances). To minimize this error, the CCD (cooled at -40°C) is regulated to 0.2°C. Due to the silicon thermal expansion (~2 10-6 at -40°C), this may result in an error of 0.4 mas as well, more than half the error budget.

The mirrors and the CCD are indeed important sources of the error budget on the absolute diameter measure but not the only ones. The distance between mirrors is also very important to maintain the focal length as well as the distance primary to focal plane, otherwise the scaling factor is also directly affected. For these, a new and innovative approach using a carbon-carbon tube of high stability and extremely low dilatation is used to link the optical elements and focal plane.



To provide a stable measurement of semi-diameters to a couple mas over the two to six years duration of the mission, SODISM/PICARD mechanical stability has to be excellent intrinsically and controlled. The design selected achieves mechanical and thermal stability because of the choice of a single monolithic structure — a tube of carbon-carbon — to link the SiC mirrors of the telescope and to the detector. As well the guiding telescope is in the same structure, its mirrors and the 4-quadrant detector being directly placed in the carbon-carbon tube. This new type of structure (developed for example by ALCATEL SPACE, cf. Bailly et al., 1997) allows to reduce the thermal regulation to half a degree for a relative change of the diameter < 1 mas (1 thousand of a pixel). The isotropic property of carbon-carbon and a detailed knowledge of the experiment (interferometric calibration), will help to further gain, by modeling, a factor 100 to 1000 on the short term diameter variations (useful for the solar limb oscillations). This means that couples of µarcsec could be inferred, allowing a direct monitoring of limb oscillations. Note that, beside focusing, the only other systematic error which affects the diameter directly is the size of the detector (silicon has an expansion coefficient of ~ 2 10-6 and requires, to keep errors below ± 0.5 mas, a ± 0.1 °C temperature regulation).

Fig. 6 shows the structure design of the SODISM/PCARD telescope, with the carbon-carbon tubes, the INVAR plates and SiC mirrors. Note also the small titanium feet which account for the dilatation of the platform (instrumental plateau base plate in aluminum but with a carbon skin).

Fig. 6:

Mechanical structure of the SODISM/PICARD telescope (350 mm between the primary and secondary mirror and 150 mm between the primary and the CCD surface: total length without cover of 550 mm). Note the 3 Invar plates linked together with the 550 mm long carbon-carbon tube of Ø100 mm. The primary mirror is mounted on 3 piezoelectrics driven by a guiding telescope directly placed inside the C-C tube. The CCD (cooled to –40°C), is decoupled of the Invar plate by a Cordierite support.




The PICARD’s system uses most of the basic components of the CNES microsatellite product line, namely, the ground segment (MIGS) made of the "Centre de Contrôle Microsatellites" (CNES Toulouse), a band S station (and most probably a complementary station at high latitude) and the flight microsatellite segment. These components will be qualified by the first microsatellite mission of the product line, namely, the mission DEMETER. The PICARD system is operated mostly the same way than DEMETER and, in this way, confirms the generic character wanted and developed for the microsatellite product line.


The PICARD’s mission requires, ideally, an orbit with constant viewing of the Sun or, at minimum, with limited or short duration eclipses. The expected mission lifetime is 3 to 4 years with a possible extension to 6 years. Launch opportunities are essentially Sun Synchronous Orbits (SSO) with local time 6h/18h (little or no eclipses). Several scenarios are still under consideration for the PICARD flight which is not expected before 2005 (the launch date and expected life time are important since the diameter/constant relationship will definitively be better determined during the near linear part of the rising cycle than at minimum when the "constant" is mostly "constant"…). If 4 years can be envisaged based on the experience of the first microsatellites, and since our payload is not expected to degrade (telescope with SiC mirrors, etc.), a launch in 2005 is then possible.

Brief or non-eclipsing Sun-synchronous viewing orbits are essential in order to achieve both the thermal stability for the absolute long term diameter measurement and the near continuous sampling for the long periods g-modes oscillations. At present launch is planed with a dedicated DNEPR russian rocket on a 750 km SSO orbit.

Pointing needs

The pointing needs on the PICARD satellite (for the scientific measure) is a pointing in the Z axis (telescope axis), towards the Sun, and with a precision of ± 0.01°. This performance will be achieved by the attitude control system using an ecartometry information from the payload (from the SODISM guiding telescope: pointing differences between the telescope and the Sun center direction). This, by itself, illustrates nicely the optimization capacity offered by the microsatellite system.

Pointing needs also imply a specific configuration of the stellar sensors (two heads) to preserve a permanent stellar pointing calibration along the orbit (stellar calibration need for the SODISM telescope scaling factor).


To the exception of the attitude control system, the microsatellite platform for PICARD is very similar of the one of DEMETER. Globally, the adaptations are reasonable (in cost and complexity) and confirm the right choice of recurring technologies in the initial microsatellite product line.

Table 4 summarizes the essential characteristics of the present PICARD’s microsatellite. The performances are derived, mostly, from the microsatellite product line. To the exception of the power requirement, somewhat critical, PICARD’s needs are well within the microsatellite product line possibilities.

Table 2:

Error budget of SODISM telescope on the solar radius measurement.

Error sourceNature of the errorDilatationEffect on radius
Structuretube carbon-carbon: 2 10-7 on 350 mm @ 0.5°C)± 40 nm0.25 mas
primary mirror to focal plane: C-C tube on 150 mm @ 0.5°C± 17 nm0.11 mas
links (Invar plates to tube, mirrors supports, piezos)± 20 nm0.12 mas
Opticscurvature of the primary mirror in SiC and thermal stability @ 0.2°C12 nm< 0.1 mas
curvature of the secondary mirror in SiC and thermal stability @ 0.1°C3 nm< 0.4 mas
CCDsilicon thermal expansion 2 10-6 on 12.5 mm @ 0.2°C0.005 µm0.4 mas
Mean quadratic error budget (3σ)0.65 mas

Table 3:

Characteristics of SODISM.

MeasurementsSolar diameter, differential rotation and full Sun UV and visible imaging
Number of channels6 (230, 548, 160 nm, Ly α, "Flat Field" & "Star Field")
Telescope focal length — solar image2650 mm — Ø25 mm
Telescope opticsPrimary Ø120 mm (used: 110 mm)Secondary Ø34 mm (used: 25 mm)
EEV-4280 back thinned CCD detector2048×4096 13.5 µm square pixels (frame transfer: 2048×2048 pixels used)
Guider acquisition range1.2°
Guider nominal pointing range± 30"
Guider servo bandwidths0 to a few Hz (platform)a few Hz to 50 Hz (fine guiding on the primary mirror)
Quad-cell image displacement sensitivityBetter than 0.01 arcsec
Piezo displacement range± 6 µm (± 1 arcmin)
Pointing precision maximum residual jitter0.1" (1 tenth of a pixel)
Absolute solar shape precisionBetter than 4 mas (6 stars HIPPARCOS enhanced calibration in 2003)
Relative semi-diameter precisionBetter than 1 mas

Table 4:

Performances of PICARD microsatellite.

CharacteristicsPICARD Microsatellite
Size (cm3) [L × W × H]60 × 75 × 80
Mass (kg)Platform (with lest): 68 kgPayload: 42 kg maxTotal 110 kg (for 120 kg nominal: 10 kg margin)
Power (w)Platform: 30 W (average on an orbit)Payload: 42 W (average on an orbit)Total: 72 W
Pointing accuracy3 axis stabilized, 0.1°
Pointing stability (platform)0.01°
Pointing stability (SODISM)0.1" (active pointing control on the primary mirror)
Mass Memory1 Gbits
Telemetry flow400 Kbits/s (1.5 Gbits/day)
TC (commands)10 Kbits (immediate or delayed)
Orbit restitution1 km
Onboard datation< 0.5 s (TU difference)

Table 5 summarizes the mass, power and nominal telemetry characteristics of the PICARD mission. Note that the PICARD Mission Center will normally be operated by the RMIB and that, most probably, antennae (S band) in Toulouse and Kiruna will be used for telemetry needs (about 1.5 Gbits per day). Depending on the data compression scheme selected, a higher telemetry rate (1.9 Gbits per day) could require a third antenna.

Table 5:

Characteristics of PICARD model payload.

CharacteristicsPICARD PayloadSODISMSOVAPPREMOSElectronics boxes (2)
Mass (kg)41.817.95.84.110 & 4
Size (cm3)60×60×3018×19×19*60×27×2835×15×1530×9×20<16×26×26<18×19×19*
Power (W) Thermal Control (W)32.9 9.018.4 9.010.1—4.4—NA NA
Average Telemetry (Mbits/day)1510150055NA


this electronic’s box is placed under the microsatellite platform



We are thankful to the CNES Microsatellite Division and Direction des Programmes and in particular to B. Tatry, C. Bouzat, J.-Y. Prado, F. Dulac and N. Papineau for their support to the mission, and would like to acknowledge the PICARD project and scientific teams (10 collaborators, 27 Co-Investigators) whom are doing a remarkable work towards a successful PICARD’s mission.





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© (2017) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Luc Damé, Luc Damé, Jean-Francis Brun, Jean-Francis Brun, David Cugnet, David Cugnet, Marc Derrien, Marc Derrien, Claude Leroy, Claude Leroy, Mustapha Meftah, Mustapha Meftah, Mireille Meissonnier, Mireille Meissonnier, Jacques Porteneuve, Jacques Porteneuve, } "A solar diameter metrology measurement: the Picard microsatellite program", Proc. SPIE 10569, International Conference on Space Optics — ICSO 2000, 1056914 (21 November 2017); doi: 10.1117/12.2307872; https://doi.org/10.1117/12.2307872


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