IN THE SKY - Jet Propulsion LaboratoryRA PIS T- 1 g a T p = 1 2 . 3 5 2 9 4 planet’s orbit (a d a...
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You don’t have to be a NASA rocket scientist to discover potentially habitable worlds outside our solar system. All you need is a little pi! Discover more “π in the sky” math problems at: jpl.nasa.gov/edu/nasapidaychallenge π IN THE SKY 4 T R A P P I S T - 1 b T p = 1 . 5 1 0 8 7 0 8 1 d a y s T R A P P I S T - 1 c T p = 2 .4 2 1 8 2 3 3 d a y s T R A P P IS T-1 d T p = 4.0 4 9 6 1 0 d a y s T R A P PIS T-1 e T p = 6.0 9 9 6 1 5 d a y s T R A P PIS T-1f T p = 9.206690 days TRAPPIST-1 SYSTEM L * (star luminosity) = 2.0097x10 23 watts μ cb (star gravitational parameter) = 1.06198x10 19 m 3 /s 2 σ (Stefan-Boltzmann constant) = 5.67×10 -8 Wm -2 K -4 T (planetary temperature) = 192-295 K A (planetary bond albedo) = 0.3 TR A PPIST-1g T p = 12.35294 days TRAPPIST-1h T p = 20 days Scientists can learn a lot about planets beyond our solar system by studying their stars. They can calculate an exoplanet’s orbital period by measuring how often its star dims as the planet passes by. They can even find potentially habitable worlds with a few key details. The star’s temperature and luminosity, which are related to its mass, define its habitable zone, the area where liquid water can exist. And the bond albedo, or percentage of light reflected by the exoplanet, helps estimate its temperature. Scientists recently discovered seven Earth-like planets orbiting the star TRAPPIST-1. Given TRAPPIST-1’s measurements, what are the inner and outer radii (r), in AU, of its habitable zone? Use the formula below. Given the orbital periods (T p ), for TRAPPIST-1’s planets, which are in the habitable zone? Use Kepler’s third law to find the semi-major axis of each planet’s orbit (a p ). LEARN MORE ABOUT EXOPLANETS exoplanets.nasa.gov HABITABLE HUNT r = (1-A)L * 16πσ T 4 ( ) 2 2π T p = μ cb 3 a p
Transcript of IN THE SKY - Jet Propulsion LaboratoryRA PIS T- 1 g a T p = 1 2 . 3 5 2 9 4 planet’s orbit (a d a...
TRAPPIST-1g Tp = 12.35294 days
TRAPPIST-1h Tp = 20 days
You don’t have to be a NASA rocket scientist to discover potentially habitable worlds outside
our solar system. All you need is a little pi!
Discover more “π in the sky” math problems at:
jpl.nasa.gov/edu/nasapidaychallenge
π IN THE SKY 4
TRAPPIST-1b T
p = 1.51087081 daysTRAPPIST-1c Tp = 2.4218233 days
TRAPPIST-1d Tp = 4.049610 days
TRAPPIST-1e Tp = 6.099615 days
TRAPPIST-1f Tp = 9.206690 days
TRAPPIST-1 SYSTEM L* (star luminosity) = 2.0097x1023 wattsµcb (star gravitational parameter) = 1.06198x1019 m3/s2
σ (Stefan-Boltzmann constant) = 5.67×10-8 Wm-2K-4
T (planetary temperature) = 192-295 K A (planetary bond albedo) = 0.3
TRAPPIST-1g Tp = 12.35294 days
TRAPPIST-1h Tp = 20 days
Scientists can learn a lot about planets beyond our solar system by studying their stars. They can calculate an exoplanet’s orbital period by measuring how often its star dims as the planet passes by. They can even find potentially habitable worlds with a few key details. The star’s temperature and luminosity, which are related to its mass, define its habitable zone, the area where liquid water can exist. And the bond albedo, or percentage of light reflected by the exoplanet, helps estimate its temperature. Scientists recently discovered seven Earth-like planets orbiting the star TRAPPIST-1. Given TRAPPIST-1’s measurements, what are the inner and outer radii (r), in AU, of its habitable zone? Use the formula below.
Given the orbital periods (Tp), for TRAPPIST-1’s planets, which are in the habitable zone? Use Kepler’s third law to find the semi-major axis of each planet’s orbit (ap).
LEARN MORE ABOUT EXOPLANETSexoplanets.nasa.gov
HABITABLE HUNT
r = (1-A)L* 16πσ T4
( )22π
Tp= µcb3ap
![k‑p‑t‑c {‑µ³ F‑ ‑g‑p ‑]‑p¶](https://static.fdocument.org/doc/165x107/61718417c41ca10cb91c5710/kptc-.jpg)
