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February 19, 2021 10:49
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What's the distance (in light-seconds and light-minutes) from Earth to Mars?
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""" | |
Compute and display the Earth-Mars distance in light-seconds, light-minutes | |
and kilometers. | |
The easiest way is to install both ``skyfield`` & ``skyfield-data`` to compute | |
this: | |
$ pip install skyfield skyfield-data | |
You can also install `skyfield` only, but it'll force you to download the | |
`de421.bsp` file (at relatively slow speed, as far as I tested it, maybe it's | |
because the install of ``skyfield-data`` is compressed in the .whl file). | |
Fortunately, this file download is made only once, since the file is in your | |
current directory. | |
""" | |
try: | |
# With skyfield-data | |
from skyfield_data import get_skyfield_data_path | |
except ImportError: | |
# Without skyfield-data | |
from skyfield.api import load | |
else: | |
from skyfield.api import Loader | |
load = Loader(get_skyfield_data_path()) | |
finally: | |
t = load.timescale().now() | |
planets = load('de421.bsp') | |
v = planets['mars'].at(t) - planets['earth'].at(t) | |
km = v.distance().km | |
ls = v.distance().light_seconds() | |
lmin = ls / 60. | |
print(f'Mars is {ls} light-seconds away ({lmin} min -- {km} km)') |
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According to the table visible here, the Mars-Earth distance will be of 55.957 millions of km (0.374041 au) on August 15th, 2050.
There are several ways to compute the time the light will take to travel, but with Skyfield, it's as easy as this:
So, Mars will be at about 3 mn (and 6s) from the Earth, for waves that travel at the speed of light.