Planck (spacecraft)

Planck was a space observatory operated by the European Space Agency (ESA) from 2009 to 2013. It was an ambitious project that aimed to map the anisotropies of the cosmic microwave background (CMB) at microwave and infrared frequencies, with high sensitivity and small angular resolution. The mission was highly successful and substantially improved upon observations made by the NASA Wilkinson Microwave Anisotropy Probe (WMAP).

Planck

A model of Planck
Names	COBRAS/SAMBA
Mission type	Space telescope
Operator	ESA
COSPAR ID	2009-026B
SATCAT no.	34938
Website	www.esa.int/planck
Mission duration	Planned: >15 months Final: 4 years, 5 months, 8 days
Spacecraft properties
Manufacturer	Thales Alenia Space
Launch mass	1,950 kg (4,300 lb)^[1]
Payload mass	205 kg (452 lb)
Dimensions	Body: 4.20 m × 4.22 m (13.8 ft × 13.8 ft)
Start of mission
Launch date	14 May 2009, 13:12:02 UTC (2009-05-14UTC13:12:02)
Rocket	Ariane 5 ECA
Launch site	Guiana Space Centre, French Guiana
Contractor	Arianespace
Entered service	3 July 2009
End of mission
Disposal	Decommissioned
Deactivated	23 October 2013, 12:10:27 UTC (2013-10-23UTC12:10:28)
Orbital parameters
Reference system	Sun-Earth L2 orbit (1,500,000 km / 930,000 mi)
Regime	Lissajous
Main telescope
Type	Gregorian
Diameter	1.9 m × 1.5 m (6.2 ft × 4.9 ft)
Wavelengths	300 µm – 11.1 mm (frequencies between 27 GHz and 1 THz)
Instruments HFI High Frequency Instrument LFI Low Frequency Instrument
ESA astrophysics insignia for Planck Horizon 2000 ← Herschel Gaia →

The Planck observatory was a major source of information relevant to several cosmological and astrophysical issues. One of its key objectives was to test theories of the early Universe and the origin of cosmic structure. The mission provided significant insights into the composition and evolution of the Universe, shedding light on the fundamental physics that governs the cosmos.

Planck was initially called COBRAS/SAMBA, which stands for the Cosmic Background Radiation Anisotropy Satellite/Satellite for Measurement of Background Anisotropies. The project started in 1996, and it was later renamed in honor of the German physicist Max Planck (1858–1947), who is widely regarded as the originator of quantum theory by deriving the formula for black-body radiation.

Built at the Cannes Mandelieu Space Center by Thales Alenia Space, Planck was created as a medium-sized mission for ESA's Horizon 2000 long-term scientific program. The observatory was launched in May 2009 and reached the Earth/Sun L2 point by July 2009. By February 2010, it had successfully started a second all-sky survey.

On 21 March 2013, the Planck team released its first all-sky map of the cosmic microwave background. The map was of exceptional quality and allowed researchers to measure temperature variations in the CMB with unprecedented accuracy. In February 2015, an expanded release was published, which included polarization data. The final papers by the Planck team were released in July 2018, marking the end of the mission.

At the end of its mission, Planck was put into a heliocentric graveyard orbit and passivated to prevent it from endangering any future missions. The final deactivation command was sent to Planck in October 2013.

The mission was a remarkable success and provided the most precise measurements of several key cosmological parameters. Planck's observations helped determine the age of the universe, the average density of ordinary matter and dark matter in the Universe, and other important characteristics of the cosmos.

Objectives

The mission had a wide variety of scientific aims, including:^[2]

• high resolution detections of both the total intensity and polarization of primordial CMB anisotropies,
• creation of a catalogue of galaxy clusters through the Sunyaev–Zel'dovich effect,
• observations of the gravitational lensing of the CMB, as well as the integrated Sachs–Wolfe effect,
• observations of bright extragalactic radio (active galactic nuclei) and infrared (dusty galaxy) sources,
• observations of the Milky Way, including the interstellar medium, distributed synchrotron emission and measurements of the Galactic magnetic field, and
• studies of the Solar System, including planets, asteroids, comets and the zodiacal light.

Planck had a higher resolution and sensitivity than WMAP, allowing it to probe the power spectrum of the CMB to much smaller scales (×3). It also observed in nine frequency bands rather than WMAP's five, with the goal of improving the astrophysical foreground models.

It is expected that most Planck measurements have been limited by how well foregrounds can be subtracted, rather than by the detector performance or length of the mission, a particularly important factor for the polarization measurements.^{[needs update]} The dominant foreground radiation depends on frequency, but could include synchrotron radiation from the Milky Way at low frequencies, and dust at high frequencies.^{[needs update]}

Instruments

 

The 4 K reference load qualification model

 

LFI 44 GHz horn and front-end chassis

 

LFI focal plane model

The spacecraft carries two instruments: the Low Frequency Instrument (LFI) and the High Frequency Instrument (HFI).^[2] Both instruments can detect both the total intensity and polarization of photons, and together cover a frequency range of nearly 830 GHz (from 30 to 857 GHz). The cosmic microwave background spectrum peaks at a frequency of 160.2 GHz.

Planck's passive and active cooling systems allow its instruments to maintain a temperature of −273.05 °C (−459.49 °F), or 0.1 °C above absolute zero.^[3] From August 2009, Planck was the coldest known object in space, until its active coolant supply was exhausted in January 2012.^[4]

NASA played a role in the development of this mission and contributes to the analysis of scientific data. Its Jet Propulsion Laboratory built components of the science instruments, including bolometers for the high-frequency instrument, a 20-kelvin cryocooler for both the low- and high-frequency instruments, and amplifier technology for the low-frequency instrument.^[5]

Low Frequency Instrument

Frequency (GHz)	Bandwidth (Δν/ν)	Resolution (arcmin)	Sensitivity (total intensity) ΔT/T, 14-month observation (10^−6)	Sensitivity (polarization) ΔT/T, 14-month observation (10^−6)
30	0.2	33	2.0	2.8
44	0.2	24	2.7	3.9
70	0.2	14	4.7	6.7

The LFI has three frequency bands, covering the range of 30–70 GHz, covering the microwave to infrared regions of the electromagnetic spectrum. The detectors use high-electron-mobility transistors.^[2]

High Frequency Instrument

 

The High Frequency Instrument qualification model.

Frequency (GHz)	Bandwidth (Δν/ν)	Resolution (arcmin)	Sensitivity (total intensity) ΔT/T, 14-month observation (10^−6)	Sensitivity (polarization) ΔT/T, 14-month observation (10^−6)
100	0.33	10	2.5	4.0
143	0.33	7.1	2.2	4.2
217	0.33	5.5	4.8	9.8
353	0.33	5.0	14.7	29.8
545	0.33	5.0	147	N/A
857	0.33	5.0	6700	N/A

The HFI was sensitive between 100 and 857 GHz, using 52 bolometric detectors, manufactured by JPL/Caltech,^[6] optically coupled to the telescope through cold optics, manufactured by Cardiff University's School of Physics and Astronomy,^[7] consisting of a triple horn configuration and optical filters, a similar concept to that used in the Archeops balloon-borne experiment. These detection assemblies are divided into 6 frequency bands (centred at 100, 143, 217, 353, 545 and 857 GHz), each with a bandwidth of 33%. Of these six bands, only the lower four have the capability to measure the polarisation of incoming radiation; the two higher bands do not.^[2]

On 13 January 2012, it was reported that the on-board supply of helium-3 used in Planck's dilution refrigerator had been exhausted, and that the HFI would become unusable within a few days.^[8] By this date, Planck had completed five full scans of the CMB, exceeding its target of two. The LFI (cooled by helium-4) was expected to remain operational for another six to nine months.^[8]

Service module

 

Some of the Herschel-Planck team, from left to right: Jean-Jacques Juillet, director of scientific programmes, Thales Alenia Space; Marc Sauvage, project scientist for Herschel PACS experiment, CEA; François Bouchet, Planck operations manager, IAP; and Jean-Michel Reix, Herschel & Planck operations manager, Thales Alenia Space. Taken during presentations of the first results for the missions, Cannes, October 2009.

A common service module (SVM) was designed and built by Thales Alenia Space in its Turin plant, for both the Herschel Space Observatory and Planck missions, combined into one single program.^[2]

The overall cost is estimated to be €700 million for the Planck^[9] and €1,100 million for the Herschel mission.^[10] Both figures include their mission's spacecraft and payload, (shared) launch and mission expenses, and science operations.

Structurally, the Herschel and Planck SVMs are very similar. Both SVMs are octagonal in shape and each panel is dedicated to accommodate a designated set of warm units, while taking into account the dissipation requirements of the different warm units, of the instruments, as well as the spacecraft. On both spacecraft, a common design was used for the avionics, attitude control and measurement (ACMS), command and data management (CDMS), power, and tracking, telemetry and command (TT&C) subsystems. All units on the SVM are redundant.

Power Subsystem

On each spacecraft, the power subsystem consists of a solar array, employing triple-junction solar cells, a battery and the power control unit (PCU). The PCU is designed to interface with the 30 sections of each solar array, to provide a regulated 28 volt bus, to distribute this power via protected outputs, and to handle the battery charging and discharging.

For Planck, the circular solar array is fixed on the bottom of the satellite, always facing the Sun as the satellite rotates on its vertical axis.

Attitude and Orbit Control

This function is performed by the attitude control computer (ACC), which is the platform for the attitude control and measurement subsystem (ACMS). It was designed to fulfil the pointing and slewing requirements of the Herschel and Planck payloads.

The Planck satellite rotates at one revolution per minute, with an aim of an absolute pointing error less than 37 arc-minutes. As Planck is also a survey platform, there is the additional requirement for pointing reproducibility error less than 2.5 arc-minutes over 20 days.

The main line-of-sight sensor in both Herschel and Planck is the star tracker.

Launch and orbit

Animation of Planck Space Observatory's trajectory

 

Polar view

 

Equatorial view

 

Viewed from the Sun

   Earth ·    Planck Space Observatory

The satellite was successfully launched, along with the Herschel Space Observatory, at 13:12:02 UTC on 14 May 2009 aboard an Ariane 5 ECA heavy launch vehicle from the Guiana Space Centre. The launch placed the craft into a very elliptical orbit (perigee: 270 km [170 mi], apogee: more than 1,120,000 km [700,000 mi]), bringing it near the L₂ Lagrangian point of the Earth-Sun system, 1,500,000 kilometres (930,000 mi) from the Earth.

The manoeuvre to inject Planck into its final orbit around L₂ was successfully completed on 3 July 2009, when it entered a Lissajous orbit with a 400,000 km (250,000 mi) radius around the L₂ Lagrangian point.^[11] The temperature of the High Frequency Instrument reached just a tenth of a degree above absolute zero (0.1 K) on 3 July 2009, placing both the Low Frequency and High Frequency Instruments within their cryogenic operational parameters, making Planck fully operational.^[12]

Decommissioning

In January 2012 the HFI exhausted its supply of liquid helium, causing the detector temperature to rise and rendering the HFI unusable. The LFI continued to be used until science operations ended on 3 October 2013. The spacecraft performed a manoeuvre on 9 October to move it away from Earth and its L₂ point, placing it into a heliocentric orbit, while payload deactivation occurred on 19 October. Planck was commanded on 21 October to exhaust its remaining fuel supply; passivation activities were conducted later, including battery disconnection and the disabling of protection mechanisms.^[13] The final deactivation command, which switched off the spacecraft's transmitter, was sent to Planck on 23 October 2013 at 12:10:27 UTC.^[14]

Results

 

Comparison of CMB results from COBE, WMAP and Planck

 

Galaxy cluster PLCK G004.5-19.5 was discovered through the Sunyaev–Zel'dovich effect.^[15]

Planck started its First All-Sky Survey on 13 August 2009.^[16] In September 2009, the European Space Agency announced the preliminary results from the Planck First Light Survey, which was performed to demonstrate the stability of the instruments and the ability to calibrate them over long periods. The results indicated that the data quality is excellent.^[17]

On 15 January 2010 the mission was extended by 12 months, with observation continuing until at least the end of 2011. After the successful conclusion of the First Survey, the spacecraft started its Second All Sky Survey on 14 February 2010. The last observations for the Second All Sky Survey were made on 28 May 2010.^[11]

Some planned pointing list data from 2009 has been released publicly, along with a video visualization of the surveyed sky.^[16]

On 17 March 2010, the first Planck photos were published, showing dust concentration within 500 light years from the Sun.^[18][19]

On 5 July 2010, the Planck mission delivered its first all-sky image.^[20]

The first public scientific result of Planck is the Early-Release Compact-Source Catalogue, released during the January 2011 Planck conference in Paris.^[21][22]

On 5 May 2014 a map of the galaxy's magnetic field created using Planck was published.^[23]

The Planck team and principal investigators Nazzareno Mandolesi and Jean-Loup Puget shared the 2018 Gruber Prize in Cosmology.^[24] Puget was also awarded the 2018 Shaw Prize in Astronomy.^[25]

2013 data release

On 21 March 2013, the European-led research team behind the Planck cosmology probe released the mission's all-sky map of the cosmic microwave background.^[26][27] This map suggests the Universe is slightly older than thought: according to the map, subtle fluctuations in temperature were imprinted on the deep sky when the Universe was about 370,000 years old. The imprint reflects ripples that arose as early in the existence of the Universe as the first nonillionth (10⁻³⁰) of a second. It is theorised that these ripples gave rise to the present vast cosmic web of galactic clusters and dark matter. According to the team, the Universe is 13.798±0.037 billion-years-old, and contains 4.82%±0.05% ordinary matter, 26.8%±0.4% dark matter and 69%±1% dark energy.^[28][29][30] The Hubble constant was also measured to be 67.80±0.77 (km/s)/Mpc.^{[26][28][31][32][33]}

Cosmological parameters from 2013 Planck results^[28][30]

Parameter	Symbol	Planck Best fit	Planck 68% limits	Planck+lensing Best fit	Planck+lensing 68% limits	Planck+WP Best fit	Planck+WP 68% limits	Planck+WP +HighL Best fit	Planck+WP +HighL 68% limits	Planck+lensing +WP+highL Best fit	Planck+lensing +WP+highL 68% limits	Planck+WP +highL+BAO Best fit	Planck+WP +highL+BAO 68% limits
Baryon density	${\displaystyle \Omega _{b}h^{2}}$	0.022068	0.02207±0.00033	0.022242	0.02217±0.00033	0.022032	0.02205±0.00028	0.022069	0.02207±0.00027	0.022199	0.02218±0.00026	0.022161	0.02214±0.00024
Cold dark matter density	${\displaystyle \Omega _{c}h^{2}}$	0.12029	0.1196±0.0031	0.11805	0.1186±0.0031	0.12038	0.1199±0.0027	0.12025	0.1198±0.0026	0.11847	0.1186±0.0022	0.11889	0.1187±0.0017
100x approximation to rs / DA (CosmoMC)	${\displaystyle 100\,\theta _{MC}}$	1.04122	1.04132±0.00068	1.04150	1.04141±0.00067	1.04119	1.04131±0.00063	1.04130	1.04132±0.00063	1.04146	1.04144±0.00061	1.04148	1.04147±0.00056
Thomson scattering optical depth due to reionization	${\displaystyle \tau }$	0.0925	0.097±0.038	0.0949	0.089±0.032	0.0925	0.089+0.012 −0.014	0.0927	0.091+0.013 −0.014	0.0943	0.090+0.013 −0.014	0.0952	0.092±0.013
Power spectrum of curvature perturbations	${\displaystyle \ln(10^{10}A_{s})}$	3.098	3.103±0.072	3.098	3.085±0.057	3.0980	3.089+0.024 −0.027	3.0959	3.090±0.025	3.0947	3.087±0.024	3.0973	3.091±0.025
Scalar spectral index	${\displaystyle n_{s}}$	0.9624	0.9616±0.0094	0.9675	0.9635±0.0094	0.9619	0.9603±0.0073	0.9582	0.9585±0.0070	0.9624	0.9614±0.0063	0.9611	0.9608±0.0054
Hubble's constant (km Mpc^−1 s^−1)	${\displaystyle H_{0}}$	67.11	67.4±1.4	68.14	67.9±1.5	67.04	67.3±1.2	67.15	67.3±1.2	67.94	67.9±1.0	67.77	67.80±0.77
Dark energy density	${\displaystyle \Omega _{\Lambda }}$	0.6825	0.686±0.020	0.6964	0.693±0.019	0.6817	0.685+0.018 −0.016	0.6830	0.685+0.017 −0.016	0.6939	0.693±0.013	0.6914	0.692±0.010
Density fluctuations at 8h^−1 Mpc	${\displaystyle \sigma _{8}}$	0.8344	0.834±0.027	0.8285	0.823±0.018	0.8347	0.829±0.012	0.8322	0.828±0.012	0.8271	0.8233±0.0097	0.8288	0.826±0.012
Redshift of reionization	${\displaystyle z_{re}}$	11.35	11.4+4.0 −2.8	11.45	10.8+3.1 −2.5	11.37	11.1±1.1	11.38	11.1±1.1	11.42	11.1±1.1	11.52	11.3±1.1
Age of the Universe (Gy)	${\displaystyle t_{0}}$	13.819	13.813±0.058	13.784	13.796±0.058	13.8242	13.817±0.048	13.8170	13.813±0.047	13.7914	13.794±0.044	13.7965	13.798±0.037
100× angular scale of sound horizon at last-scattering	${\displaystyle 100\,\theta _{*}}$	1.04139	1.04148±0.00066	1.04164	1.04156±0.00066	1.04136	1.04147±0.00062	1.04146	1.04148±0.00062	1.04161	1.04159±0.00060	1.04163	1.04162±0.00056
Comoving size of the sound horizon at z = zdrag	${\displaystyle r_{drag}}$	147.34	147.53±0.64	147.74	147.70±0.63	147.36	147.49±0.59	147.35	147.47±0.59	147.68	147.67±0.50	147.611	147.68±0.45

2015 data release

Results from an analysis of Planck's full mission were made public on 1 December 2014 at a conference in Ferrara, Italy.^[34] A full set of papers detailing the mission results were released in February 2015.^[35] Some of the results include:

• More agreement with previous WMAP results on parameters such as the density and distribution of matter in the Universe, as well as more accurate results with less margin of error.
• Confirmation of the Universe having a 26% content of dark matter. These results also raise related questions about the positron excess over electrons detected by the Alpha Magnetic Spectrometer, an experiment on the International Space Station. Previous research suggested that positrons could be created by the collision of dark matter particles, which could only occur if the probability of dark matter collisions is significantly higher now than in the early Universe. Planck data suggests that the probability of such collisions must remain constant over time to account for the structure of the Universe, negating the previous theory.
• Validation of the simplest models of inflation, thus giving the Lambda-CDM model stronger support.
• That there are likely only three types of neutrinos, with a fourth proposed sterile neutrino unlikely to exist.

Project scientists worked too with BICEP2 scientists to release joint research in 2015 answering whether a signal detected by BICEP2 was evidence of primordial gravitational waves, or was simple background noise from dust in the Milky Way galaxy.^[34] Their results suggest the latter.^[36]

Cosmological parameters from 2015 Planck results^[35][37]

Parameter	Symbol	TT+lowP 68% limits	TT+lowP +lensing 68% limits	TT+lowP +lensing+ext 68% limits	TT,TE,EE+lowP 68% limits	TT,TE,EE+lowP +lensing 68% limits	TT,TE,EE+lowP +lensing+ext 68% limits
Baryon density	${\displaystyle \Omega _{b}h^{2}}$	0.02222±0.00023	0.02226±0.00023	0.02227±0.00020	0.02225±0.00016	0.02226±0.00016	0.02230±0.00014
Cold dark matter density	${\displaystyle \Omega _{c}h^{2}}$	0.1197±0.0022	0.1186±0.0020	0.1184±0.0012	0.1198±0.0015	0.1193±0.0014	0.1188±0.0010
100x approximation to rs / DA (CosmoMC)	${\displaystyle 100\,\theta _{MC}}$	1.04085±0.00047	1.04103±0.00046	1.04106±0.00041	1.04077±0.00032	1.04087±0.00032	1.04093±0.00030
Thomson scattering optical depth due to reionization	${\displaystyle \tau }$	0.078±0.019	0.066±0.016	0.067±0.013	0.079±0.017	0.063±0.014	0.066±0.012
Power spectrum of curvature perturbations	${\displaystyle \ln(10^{10}A_{s})}$	3.089±0.036	3.062±0.029	3.064±0.024	3.094±0.034	3.059±0.025	3.064±0.023
Scalar spectral index	${\displaystyle n_{s}}$	0.9655±0.0062	0.9677±0.0060	0.9681±0.0044	0.9645±0.0049	0.9653±0.0048	0.9667±0.0040
Hubble's constant (km Mpc^−1 s^−1)	${\displaystyle H_{0}}$	67.31±0.96	67.81±0.92	67.90±0.55	67.27±0.66	67.51±0.64	67.74±0.46
Dark energy density	${\displaystyle \Omega _{\Lambda }}$	0.685±0.013	0.692±0.012	0.6935±0.0072	0.6844±0.0091	0.6879±0.0087	0.6911±0.0062
Matter density	${\displaystyle \Omega _{m}}$	0.315±0.013	0.308±0.012	0.3065±0.0072	0.3156±0.0091	0.3121±0.0087	0.3089±0.0062
Density fluctuations at 8h^−1 Mpc	${\displaystyle \sigma _{8}}$	0.829±0.014	0.8149±0.0093	0.8154±0.0090	0.831±0.013	0.8150±0.0087	0.8159±0.0086
Redshift of reionization	${\displaystyle z_{re}}$	9.9+1.8 −1.6	8.8+1.7 −1.4	8.9+1.3 −1.2	10.0+1.7 −1.5	8.5+1.4 −1.2	8.8+1.2 −1.1
Age of the Universe (Gy)	${\displaystyle t_{0}}$	13.813±0.038	13.799±0.038	13.796±0.029	13.813±0.026	13.807±0.026	13.799±0.021
Redshift at decoupling	${\displaystyle z_{*}}$	1090.09±0.42	1089.94±0.42	1089.90±0.30	1090.06±0.30	1090.00±0.29	1089.90±0.23
Comoving size of the sound horizon at z = z*	${\displaystyle r_{*}}$	144.61±0.49	144.89±0.44	144.93±0.30	144.57±0.32	144.71±0.31	144.81±0.24
100× angular scale of sound horizon at last-scattering	${\displaystyle 100\,\theta _{*}}$	1.04105±0.00046	1.04122±0.00045	1.04126±0.00041	1.04096±0.00032	1.04106±0.00031	1.04112±0.00029
Redshift with baryon-drag optical depth = 1	${\displaystyle z_{drag}}$	1059.57±0.46	1059.57±0.47	1059.60±0.44	1059.65±0.31	1059.62±0.31	1059.68±0.29
Comoving size of the sound horizon at z = zdrag	${\displaystyle r_{drag}}$	147.33±0.49	147.60±0.43	147.63±0.32	147.27±0.31	147.41±0.30	147.50±0.24
Legend	68% limits: Parameter 68% confidence limits for the base ΛCDM model TT, TE, EE: Planck Cosmic microwave background (CMB) power spectra; here TT represents temperature power spectrum, TE is temperature-polarization cross spectrum, and EE is polarisation power spectrum. lowP: Planck polarization data in the low-ℓ likelihood lensing: CMB lensing reconstruction ext: External data (BAO+JLA+H0). BAO: Baryon acoustic oscillations, JLA: Joint Light-curve Analysis (of supernovae), H0: Hubble constant

2018 final data release

Cosmological parameters from 2018 Planck results^[38][39]

Parameter	Symbol	TT+lowE 68% limits	TE+lowE 68% limits	EE+lowE 68% limits	TT,TE,EE+lowE 68% limits	TT,TE,EE+lowE +lensing 68% limits	TT,TE,EE+lowE +lensing+BAO 68% limits
Baryon density	${\displaystyle \Omega _{b}h^{2}}$	0.02212±0.00022	0.02249±0.00025	0.0240±0.0012	0.02236±0.00015	0.02237±0.00015	0.02242±0.00014
Cold dark matter density	${\displaystyle \Omega _{c}h^{2}}$	0.1206±0.0021	0.1177±0.0020	0.1158±0.0046	0.1202±0.0014	0.1200±0.0012	0.11933±0.00091
100x approximation to rs / DA (CosmoMC)	${\displaystyle 100\,\theta _{MC}}$	1.04077±0.00047	1.04139±0.00049	1.03999±0.00089	1.04090±0.00031	1.04092±0.00031	1.04101±0.00029
Thomson scattering optical depth due to reionization	${\displaystyle \tau }$	0.0522±0.0080	0.0496±0.0085	0.0527±0.0090	0.0544+0.0070 −0.0081	0.0544±0.0073	0.0561±0.0071
Power spectrum of curvature perturbations	${\displaystyle \ln(10^{10}A_{s})}$	3.040±0.016	3.018+0.020 −0.018	3.052±0.022	3.045±0.016	3.044±0.014	3.047±0.014
Scalar spectral index	${\displaystyle n_{s}}$	0.9626±0.0057	0.967±0.011	0.980±0.015	0.9649±0.0044	0.9649±0.0042	0.9665±0.0038
Hubble's constant (km s^−1 Mpc^−1)	${\displaystyle H_{0}}$	66.88±0.92	68.44±0.91	69.9±2.7	67.27±0.60	67.36±0.54	67.66±0.42
Dark energy density	${\displaystyle \Omega _{\Lambda }}$	0.679±0.013	0.699±0.012	0.711+0.033 −0.026	0.6834±0.0084	0.6847±0.0073	0.6889±0.0056
Matter density	${\displaystyle \Omega _{m}}$	0.321±0.013	0.301±0.012	0.289+0.026 −0.033	0.3166±0.0084	0.3153±0.0073	0.3111±0.0056
Density fluctuations at 8h^−1 Mpc	S8 = ${\displaystyle \sigma _{8}}$ (${\displaystyle \Omega _{m}}$ /0.3)^0.5	0.840±0.024	0.794±0.024	0.781+0.052 −0.060	0.834±0.016	0.832±0.013	0.825±0.011
Redshift of reionization	${\displaystyle z_{re}}$	7.50±0.82	7.11+0.91 −0.75	7.10+0.87 −0.73	7.68±0.79	7.67±0.73	7.82±0.71
Age of the Universe (Gy)	${\displaystyle t_{0}}$	13.830±0.037	13.761±0.038	13.64+0.16 −0.14	13.800±0.024	13.797±0.023	13.787±0.020
Redshift at decoupling	${\displaystyle z_{*}}$	1090.30±0.41	1089.57±0.42	1087.8+1.6 −1.7	1089.95±0.27	1089.92±0.25	1089.80±0.21
Comoving size of the sound horizon at z = z*(Mpc)	${\displaystyle r_{*}}$	144.46±0.48	144.95±0.48	144.29±0.64	144.39±0.30	144.43±0.26	144.57±0.22
100× angular scale of sound horizon at last-scattering	${\displaystyle 100\,\theta _{*}}$	1.04097±0.00046	1.04156±0.00049	1.04001±0.00086	1.04109±0.00030	1.04110±0.00031	1.04119±0.00029
Redshift with baryon-drag optical depth = 1	${\displaystyle z_{drag}}$	1059.39±0.46	1060.03±0.54	1063.2±2.4	1059.93±0.30	1059.94±0.30	1060.01±0.29
Comoving size of the sound horizon at z = zdrag	${\displaystyle r_{drag}}$	147.21±0.48	147.59±0.49	146.46±0.70	147.05±0.30	147.09±0.26	147.21±0.23
Legend	68% limits: Parameter 68% confidence limits for the base ΛCDM model TT, TE, EE: Planck Cosmic microwave background (CMB) power spectra; here TT represents temperature power spectrum, TE is temperature-polarization cross spectrum, and EE is polarisation power spectrum. lowP: Planck polarization data in the low-ℓ likelihood lensing: CMB lensing reconstruction ext: External data (BAO+JLA+H0). BAO: Baryon acoustic oscillations, JLA: Joint Light-curve Analysis (of supernovae), H0: Hubble constant

See also

•  Physics portal
•  Spaceflight portal

• DustPedia
• Lambda-CDM model
• List of cosmological computation software
• Observational cosmology
• Physical cosmology
• Terahertz radiation

References

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Further reading

• Dambeck, Thorsten (May 2009). "Planck Readies to Dissect the Big Bang". Sky & Telescope. 117 (5): 24–28. Bibcode:2009S&T...117e..24D. OCLC 318973848.

External links

 

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