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Transcript
Target Stars for Earth-like Planet Searches with the Terrestrial Planet Finder
R. S. Simon (NRAO), S. S. Vogt (UCO/Lick Observatory)
Conclusions
Abstract
Selection of Target Stars
TPF target requirements are defined by the fundamental goal of detecting and
characterizing Earth-like planets around Sun-like stars. This implies that the
most interesting target stars for TPF are long-lived main-sequence stars with
low levels of stellar activity or variability. In addition, the difficulties of
observing a planet in the presence of the glare from its primary star and
considerations of orbital stability rule out close binary stars from any list of
the most promising candidate systems for TPF observation. We used the
following steps to define the most promising TPF target stars:
Preliminaries
A Working definition for an “Earth Like” Planet:
• Earth size and albedo
• Earth-like equilibrium temperature
(1) Select stars from the Hipparcos catalog (118,000+ stars) closer than 50
parsecs: 7,058 stars meet this criteria. The Hipparcos catalog is complete to
fainter than 7th magnitude, and also includes many nearby stars much fainter.
The stars that TPF will target are almost certainly brighter than 7th magnitude
(as detailed analysis shows), so that the 7,058 stars selected this way includes
all reasonable TPF targets. Note that distant giants and supergiants are
excluded with these criteria.
Working Definition for the Habitable Zone (HZ):
The size of the HZ is conveniently defined as the distance from a star at
which an Earth-like planet would have an Earth-like equilibrium
temperature.
• Using catalogued V-I colors and mV, estimate Bolometric Magnitude
mBol and star’s Effective Temperature Teff
• Use simple model of planetary Equilibrium Temperature to derive
angular diameter of HZ (Hipparcos parallaxes yield physical size)
• It can be shown that simple relationship exists between the angular size
of the habitable zone, the planetary albedo, the bolometric magnitude
of the star, and the stellar effective temperature:
(2) Using catalogued colors and magnitudes it is possible to calculate the
basic parameters for an Earth-like planet near each of the stars, including the
diameter of the Habitable Zone (HZ). For these purposes, the HZ is defined
as the distance from the star at which an Earth-like planet would have the
same equilibrium temperature as Earth.
(3) Select those stars for which the HZ is greater than some limit. We have
focused on stars for which the HZ is greater than 75 milliarcseconds (641
stars); if the HZ cutoff was decreased to 50 milliarcseconds, the number of
stars at this point in the winnowing process would be 1,166 stars. Note that
our 75 milliarcsecond cutoff implies a practical resolution limit of about 50
milliarcseconds, to allow reasonable finding probability with unknown
planetary phase angles.
HZ (mas) = 9.6x104 (1-AlbedoEarth)0.5 / 10(mbol/5) / Teff2
Contrast Ratio Calculation
• Assume the star is characterized by a black-body spectrum at its Teff
• Planetary emission is the sum of reflected plus thermal spectra,
corrected to an assumed half-moon phase angle.
• For a planet with a specific assumed temperature, the contrast ratio
depends only on the Teff for the star.
1E+06
• Known RS CVn's, W Uma's, Algols, roAp's, or A2CVn variable stars
• Known close visual companions (within ~10")
1E+04
0.1
1E-04
1.0
10.0
100.0
1000.0
Wavelength (µm)
Calculated thermal and reflected flux density for Sun, Earth, and
Jupiter analogues, as observed from 10 parsecs distance.
200
300
The TPF “Golden Oldies” Sample:
• 160 Stars
• Closer than 50 parsecs
• HZ >= 75 milliarcseconds
• No obvious companion within 10 arcseconds
• Luminosity class V or IV (1 exception)
• Spectral type F0 or later (long main sequence lifetime)
• Not a known large amplitude variable
Characteristics of the “Golden Oldies”:
Percentile
50%
75%
90%
Sun@10pc
Visual
4.86
5.17
5.28
4.79
Magnitude
Parallax
50
35
25
100
(mas)
HZ Diameter
95
82
78
100
(mas)
Contrast
2.8E+10 5.5E+10 9.0E+10 1.0E+10
Ratio (1µ)
Contrast
1.6E+7 2.5E+7 4.2E+7
5.7E+6
Ratio (10µ)
• Median Teff of 6300 K (compare Solar 5778)
• Median distance of 20 parsecs
• Median Contrast ratio ~3x greater than Sun at 10 parsecs
Flux Density for TPF Target Stars
Spectral Types:
F
G
K
M
1E+05
1E+04
1E+03
1E+02
Distances of TPF Target Stars
0
10
20
30
40
50
Stellar distance (pc)
Angular Size of the Habitable Zone Visual Magnitudes of TPF Target Stars
50
100
40
80
30
20
10
0
80
60
40
20
0
<2
Author Contact Information:
Richard Simon
National Radio Astronomy Observatory
520 Edgemont Rd.
Charlottesville, VA 22903
[email protected]
100
Angular Separation (milliarcseconds)
1E-02
Star: 5778K, 1.0 R_Sun, 10.0pc
P1: 51%A, rapid, 11.1R_Earth, 5.2AU
P2: 39%A, med., 1.0R_Earth, 1.0AU
1E-12
0
Number of stars
Note different flux scale
for Star
1E+00
1E+06
• Main sequence lifetimes of at least 1 Gyr (Sp type >= F0)
Number of stars
1E-10
Solar Analogue
at 1.0µ
at 10.0µ
sun@10pc
The remaining 160 stars are what we have termed the "Golden
Oldies", our proposed list of the most promising candidate stars for the
TPF mission.
Number of stars
1E-08
• Known spectroscopic binaries with periods < 5 years
Star Flux Density (mJy)
Planet Flux Density (mJy)
Jupiter Analogue
1E+02
1E+07
Flux Density at 10µ in mJy
• Known giants or supergiants (luminosity class I, II, or III) (except for
one class III with a suspected Jovian-mass companion)
Flux Density from Extrasolar Planets
Earth Analogue
1E+09
1E+06
(4) Starting with these 641 stars, we have carefully reviewed the literature to
confirm spectral types, variability, luminosity class, binarity, and so on. We
then eliminated stars which met the following criteria:
Sample Calculation
1E-06
1E+10
1E+08
Reducing these limits will substantially reduce the
number of stars accessible to TPF. These criteria are
more difficult than observing the sun at 10 parsecs:
The required contrast ratio is about a factor of 10
higher, and the required resolution about a factor of 2
greater.
An important result is that most stars of interest for TPF will be harder
to search for Earth-like planets than an analogue to the Solar System
observed from 10parsecs distance. The typical system in our final
sample is smaller, and further away than such a Solar System analogue.
1E-04
1E+11
Star/Planet contrast ratio
For TPF to search a large sample of promising stars
for Earth-like planets, it should strive to observe
systems with the following characteristics:
• Separation: 50 milliarcseconds or greater
between star and planet
• IR Contrast ratio: 5 x 107 or less at 10 microns
• Visible contrast ratio: 3 x 1010 or less at 1
micron
A vital aspect of instrument and mission design for TPF is selecting
appropriate target stars. We report here on the characteristics of a
carefully defined complete sample of nearby stars suitable for terrestrial
planet searches. Beginning with the more than 7,000 known stars
located within 50 parsecs of the Sun, we have applied a number of
selection criteria to identify a complete sample of about 160 promising
target stars for TPF. Our selection criteria aim towards the ability to
detect Earth-like planets: those planets with equilibrium temperature
and size similar to Earth. The resulting target list places significant
requirements on TPF, if TPF is to search a statistically interesting
sample of stars.
1E-02
Star/Planet Contrast Ratio
1E+12
There is broad interest in the problem of identifying and characterizing
terrestrial (Earth-like) planets outside of our Solar System. Several
studies are underway to develop concepts and plans for the Terrestrial
Planet Finder (TPF) space mission (see Beichman et al., 1999:
"Terrestrial Planet Finder"). TPF, like other missions in the early
planning stages, aims to search selected nearby stars for the existence of
terrestrial planets, and characterize any planets that may be discovered
through low-resolution spectroscopy and other measurements. The high
contrast ratio between a star and any nearby planet, the small angular
scale required, and the possibility of dust emission masking the planet's
signature, combine to make the overall TPF problem challenging.
2-5
5-10 10-15 15-20 20-30 30-40 40-50
Distance (parsecs)
75-100 100-125125-150150-200200-300300-500500-1000
Angular Separation Bin (milliarcseconds)
60
40
20
0
<1
1-2
2-3
3-4
4-5
5-6
Apparent Visual magnitude