N. Mandolesi et al.: The <strong>Planck</strong>-LFI programmecircles only at the ecliptic poles and the consequent degradationof the quality of destriping and map-making codes (Buriganaet al. 1997; Maino et al. 1999; Wright et al. 1996; Janssen &Gulkis 1992). Since the <strong>Planck</strong> mission is designed to minimizestraylight contamination from the Sun, Earth, and Moon(Burigana et al. 2001; Sandri et al. 2010), it is possible to introducemodulations of the spin axis from the ecliptic planeto maximize the sky coverage, keeping the solar aspect angleof the spacecraft constant for thermal stability. This drives ustowards the adopted baseline SS 2 (Maris et al. 2006a). Thus,the baseline SS adopts a cycloidal modulation of the spin axis,i.e. a precession around a nominal antisolar direction with asemiamplitude cone of 7.5 ◦ .Inthisway,all<strong>Planck</strong> receivers willcover the whole sky. A cycloidal modulation with a 6-month periodsatisfies the mission operational constraints, while avoidingsharp gradients in the pixel hit count (Dupac & Tauber 2005).Furthermore, this solution allows one to spread the crossingsof scan circles across a wide region that is beneficial to mapmaking,particularly for polarisation (Ashdown et al. 2007). Thelast three SS parameters are: the sense of precession (clockwiseor anticlockwise); the initial spin axis phase along the precessioncone; and, finally, the spacing between two consecutive spin axisrepointings, chosen to be 2 ′ to achieve four all-sky surveys withthe available guaranteed number of spin axis manoeuvres.Fifteen months of integration have been guaranteed since theapproval of the mission. This will allow us to complete at leasttwo all-sky surveys using all the receivers. The mission lifetimeis going to be formally approved for an extension of 12 months,which will allow us to perform more than 4 complete sky surveys.LFI is the result of an active collaboration between about ahundred universities and research centres, in Europe, Canada,and USA, organized by the LFI consortium (supported by morethan 300 scientists) funded by national research and spaceagencies. The principal investigator leads a team of 26 co-Investigators responsible for the development of the instrumenthardware and software. The hardware was developed under thesupervision of an instrument team. The data analysis and its scientificexploitation are mostly carried out by a core team, workingin close connection with the data processing centre (DPC).The LFI core team is a diverse group of relevant scientists (currently∼140) with the required expertise in instrument, data analysis,and theory to deliver to the wider <strong>Planck</strong> community themain mission data products. The core cosmology programme of<strong>Planck</strong> will be performed by the LFI and HFI core teams. Thecore team is closely linked to the wider <strong>Planck</strong> scientific community,consisting, besides the LFI consortium, of the HFI andTelescope consortia, which are organized into various workinggroups. <strong>Planck</strong> is managed by the ESA <strong>Planck</strong> science team.The paper is organized as follows. In Sect. 2, we describe theLFI cosmological and astrophysical objectives and LFI’s role inthe overall mission. We compare the LFI and WMAP sensitivitieswith the CMB angular power spectrum (APS) in similar frequencybands, and discuss the cosmological improvement fromWMAP represented by LFI alone and in combination with HFI.Section 3 describes the LFI optics, radiometers, and sorptioncooler set-up and performance. The LFI programme is set forthin Sect. 4. The LFI DPC organisation is presented in Sect. 6,following a report on the LFI tests and verifications in Sect. 5.Our conclusions are presented in Sect. 7.2 The above nominal SS is kept as a backup solution in case of a possibleverification in-flight of unexpected problems with the <strong>Planck</strong> optics.2. Cosmology and astrophysics with LFIand <strong>Planck</strong><strong>Planck</strong> is the third generation space mission for CMBanisotropies that will open a new era in our understanding of theUniverse (The <strong>Planck</strong> Collaboration 2006). It will measure cosmologicalparameters with a much greater level of accuracy andprecision than all previous efforts. Furthermore, <strong>Planck</strong>’s highresolution all-sky survey, the first ever over this frequency range,will provide a legacy to the astrophysical community for yearsto come.2.1. CosmologyThe LFI instrument will play a crucial role for cosmology.Its LFI 70 GHz channel is in a frequency window remarkablyclear from foreground emission, making it particularly advantageousfor observing both CMB temperature and polarisation.The two lower frequency channels at 30 GHz and 44 GHz willaccurately monitor Galactic and extra-Galactic foreground emissions(see Sect. 2.2), whose removal (see Sect. 2.3) iscriticalfor a successful mission. This aspect is of key importance forCMB polarisation measurements since Galactic emission dominatesthe polarised sky.The full exploitation of the cosmological information containedin the CMB maps will be largely based on the joint analysisof LFI and HFI data. While a complete discussion of thisaspect is beyond the scope of this paper, in the next few subsectionswe discuss some topics of particular relevance to LFI or acombined analysis of LFI andHFIdata.InSect.2.1.1, wereviewthe LFI sensitivity to the APS on the basis of the realisticLFI sensitivity (see Table 6)andresolution(seeTable2)derivedfrom extensive tests. This instrument description is adopted inSect. 2.1.2 to estimate the LFI accuracy of the extraction of arepresentative set of cosmological parameters, alone and in combinationwith HFI. Section 2.1.3 addresses the problem of thedetection of primordial non-Gaussianity, a topic of particular interestto the LFI consortium, which will require the combinationof LFI and HFI, because of the necessitytocleantheforeground.On large angular scales, WMAP exhibits a minimum inthe foreground signal in the V band (61 GHz, frequency range53−69 GHz), thus we expect that the LFI 70 GHz channel willbe particularly helpful for investigating the CMB pattern on largescales, a topic discussed in Sect. 2.1.4.It is important to realise that these are just a few examplesof what <strong>Planck</strong> is capable of. The increased sensitivity, fidelityand frequency range of the maps, plus the dramatic improvementin polarisation capability will allow a wide discovery space. Aswell as measuring parameters, there will be tests of inflationarymodels, consistency tests for dark energy models, and significantnew secondary science probes from correlations with otherdata-sets.2.1.1. Sensitivity to CMB angular power spectraThe statistical information encoded in CMB anisotropies, in bothtemperature and polarisation, can be analyzed in terms of a“compressed” estimator, the APS, C l (see e.g., Scott & Smoot2008). Provided that the CMB anisotropies obey Gaussian statistics,as predicted in a wide class of models, the set of C l scontains most of the relevant statistical information. The qualityof the recovered power spectrum is a good predictor ofPage 3 of 24
A&A 520, A3 (2010)Fig. 1. CMB temperature anisotropy power spectrum (black solid line)compatible with WMAP data is compared to WMAP (Ka band) and LFI(30 GHz) sensitivity, assuming subtraction of the noise expectation, fordifferent integration times as reported in the figure. Two <strong>Planck</strong> surveyscorrespond to about one year of observations. The plot shows separatelythe cosmic variance (black three dot-dashes) and the instrumental noise(red and green lines for WMAP and LFI, respectively) assuming a multipolebinning of 5%. This binning allows us to improve the sensitivityof the power spectrum estimation. For example, around l = 1000 (100)this implies averaging the APS over 50 (5) multipoles. Regarding samplingvariance, an all-sky survey is assumed here for simplicity. The useof the CAMB code is acknowledged (see footnote 3).the efficiency of extracting cosmological parameters by comparingthe theoretical predictions of Boltzmann codes 3 .Strictlyspeaking, this task must be carried out using likelihood analyses(see Sect. 2.3). Neglecting systematic effects (and correlatednoise), the sensitivity of a CMB anisotropy experiment to C l ,at each multipole l,issummarizedbytheequation(Knox 1995)δC lC l≃√]2[1 + Aσ2 , (1)f sky (2l + 1) NC l W lwhere A is the size of the surveyed area, f sky = A/4π, σ is therms noise per pixel, N is the total number of observed pixels,and W l is the beam window function. For a symmetric Gaussianbeam, W l = exp(−l(l + 1)σ 2 B ), where σ B = FWHM/ √ 8ln2defines the beam resolution.Even in the limit of an experiment of infinite sensitivity(σ = 0), the accuracy in the power spectrum is limited by socalledcosmic and sampling variance, reducing to pure cosmicvariance in the case of all-sky coverage. This dominates at low lbecause of the relatively small number of available modes m permultipole in the spherical harmonic expansion of a sky map. Themultifrequency maps that will be obtained with <strong>Planck</strong> will allowone to improve the foreground subtraction and maximizethe effective sky area used in the analysis, thus improving ourunderstanding of the CMB power spectrum obtained from previousexperiments. However, the main benefits of the improvedforeground subtraction will be in terms of polarisation and non-Gaussianity tests.3 http://camb.info/Fig. 2. As in Fig. 1 but for the sensitivity of WMAP in V band and LFIat 70 GHz.Figures 1 and 2 compare WMAP 4 and LFI 5 sensitivityto the CMB temperature C l at two similar frequency bands,displaying separately the uncertainty originating in cosmic varianceand instrumental performance and considering differentproject lifetimes. For ease of comparison, we consider the samemultipole binning (in both cosmic variance and instrumentalsensitivity). The figures show how the multipole region wherecosmic variance dominates over instrumental sensitivity movesto higher multipoles in the case of LFI and that the LFI 70 GHzchannel allows us to extract information about an additionalacoustic peak and two additional throats with respect to thoseachievable with the corresponding WMAP V band.As well as the temperature APS, LFI can measure polarisationanisotropies (Leahy et al. 2010). A somewhat similar comparisonis shown in Figs. 3 and 4 but for the “E” and “B” polarisationmodes, considering in this case only the longest missionlifetimes (9 yrs for WMAP, 4 surveys for <strong>Planck</strong>) reportedin previous figures and a larger multipole binning (which impliesan increase in the signal-to-noise ratio compared to previousfigures). Clearly, foreground is more important for measurementsof polarisation than for measurements of temperature.In the WMAP V band and the LFI 70 GHz channels, the polarisedforeground is minimal (at least considering a very largefraction of the sky and for the range of multipoles already exploredby WMAP). Thus, we consider these optimal frequenciesto represent the potential uncertainty expected from polarisedforegrounds. The Galactic foreground dominates over theCMB B mode and also the CMB E mode by up to multipoles ofseveral tens. However, foreground subtraction at an accuracy of5−10% of the map level is enough to reduce residual Galacticcontamination to well below both the CMB E mode and theCMB B mode for a wide range of multipoles for r = T/S ≃ 0.3(here r is defined in Fourier space). If we are able to modelGalactic polarised foregrounds with an accuracy at the severalpercent level, then, for the LFI 70 GHz channel the main limitationwill come from instrumental noise. This will prevent anaccurate E mode evaluation at l ∼ 7−20, or a B mode detectionfor r < ∼ 0.3. Clearly, a more accurate recovery of the polarisationmodes will be possible from the exploitation of the <strong>Planck</strong>data at all frequencies. In this context, LFI data will be crucial4 http://lambda.gsfc.nasa.gov/5 In this comparison, we exploit realistic LFI optical and instrumentalperformance as described in the following sections.Page 4 of 24
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