Skyfield: Home • Table of Contents • Changelog • API Reference
See Positions and Coordinates for a detailed guide to these various kinds of position that Skyfield can compute, and to the selection of coordinate systems that can be used to express them.
skyfield.positionlib.
ICRF
(position_au, velocity_au_per_d=None, t=None, center=None, target=None)¶An (x,y,z) position and velocity oriented to the ICRF axes.
The International Coordinate Reference Frame (ICRF) is a permanent reference frame that is the replacement for J2000. Their axes agree to within 0.02 arcseconds. It also supersedes older equinox-based systems like B1900 and B1950.
Each instance of this class provides a .position
vector and a
.velocity
vector that specify (x,y,z) coordinates along the axes
of the ICRF. A specific time .t
might be specified or might be
None
.
velocity
¶A Velocity
object
offering the velocity’s (dx/dt,dy/dt,dz/dt) coordinates.
This attribute will have the value None
if no velocity was
specified for this position.
from_time_and_frame_vectors
(t, frame, distance, velocity)¶Constructor: build a position from two vectors in a reference frame.
t
— The Time
of the position.frame
— A reference frame listed at Coordinates in other reference frames.distance
— A Distance
x,y,z vector in the given frame.velocity
— A Velocity
ẋ,ẏ,ż vector in the given frame.distance
()¶Compute the distance from the origin to this position.
The return value is a Distance
that
prints itself out in astronomical units (au) but that also
offers attributes au
, km
, and m
if you want to
access its magnitude as a number.
>>> v = ICRF([1, 1, 0])
>>> print(v.distance())
1.41421 au
speed
()¶Compute the magnitude of the velocity vector.
>>> v = ICRF([0, 0, 0], [1, 2, 3])
>>> print(v.speed())
3.74166 au/day
light_time
¶Length of this vector in days of light travel time.
radec
(epoch=None)¶Compute equatorial (RA, declination, distance)
When called without a parameter, this returns standard ICRF right ascension and declination:
>>> from skyfield.api import load
>>> ts = load.timescale()
>>> t = ts.utc(2020, 5, 13, 10, 32)
>>> eph = load('de421.bsp')
>>> astrometric = eph['earth'].at(t).observe(eph['sun'])
>>> ra, dec, distance = astrometric.radec()
>>> print(ra, dec, sep='\n')
03h 21m 47.67s
+18deg 28' 55.3"
If you instead want the coordinates referenced to the dynamical system defined by the Earth’s true equator and equinox, provide a specific epoch time.
>>> ra, dec, distance = astrometric.apparent().radec(epoch='date')
>>> print(ra, dec, sep='\n')
03h 22m 54.73s
+18deg 33' 04.5"
To get J2000.0 coordinates, simply pass ts.J2000
.
hadec
()¶Compute hour angle, declination, and distance.
Returns a tuple of two Angle
objects
plus the Distance
to the target. The
angles are the hour angle (±12 hours) east or west of your
meridian along the ITRS celestial equator, and the declination
(±90 degees) above or below it. This only works for positions
whose center is a geographic location; otherwise, there is no
local meridian from which to measure the hour angle.
Because this declination is measured from the plane of the
Earth’s physical geographic equator, it will be slightly
different than the declination returned by radec()
if you
have loaded a Polar Motion file.
The coordinates are not adjusted for atmospheric refraction near the horizon.
separation_from
(another_icrf)¶Return the angle between this position and another.
>>> from skyfield.api import load
>>> ts = load.timescale()
>>> t = ts.utc(2020, 4, 18)
>>> eph = load('de421.bsp')
>>> sun, venus, earth = eph['sun'], eph['venus'], eph['earth']
>>> e = earth.at(t)
>>> s = e.observe(sun)
>>> v = e.observe(venus)
>>> print(s.separation_from(v))
43deg 23' 23.1"
You can also compute separations across an array of positions.
>>> t = ts.utc(2020, 4, [18, 19, 20])
>>> e = earth.at(t)
>>> print(e.observe(sun).separation_from(e.observe(venus)))
3 values from 43deg 23' 23.1" to 42deg 49' 46.6"
cirs_xyz
(epoch)¶Compute cartesian CIRS coordinates at a given epoch (x,y,z).
Calculate coordinates in the Celestial Intermediate Reference System (CIRS), a dynamical coordinate system referenced to the Celestial Intermediate Origin (CIO). As this is a dynamical system it must be calculated at a specific epoch.
cirs_radec
(epoch)¶Get spherical CIRS coordinates at a given epoch (ra, dec, distance).
Calculate coordinates in the Celestial Intermediate Reference System (CIRS), a dynamical coordinate system referenced to the Celestial Intermediate Origin (CIO). As this is a dynamical system it must be calculated at a specific epoch.
frame_xyz
(frame)¶Return this position as an (x,y,z) vector in a reference frame.
Returns a Distance
object giving the
(x,y,z) of this position in the given frame
. See
Coordinates in other reference frames.
frame_xyz_and_velocity
(frame)¶Return (x,y,z) position and velocity vectors in a reference frame.
Returns two vectors in the given coordinate frame
: a
Distance
providing an (x,y,z) position
and a Velocity
giving (xdot,ydot,zdot)
velocity. See Coordinates in other reference frames.
frame_latlon
(frame)¶Return longitude, latitude, and distance in the given frame.
Returns a 3-element tuple giving the latitude and longitude as
Angle
objects and the range to the
target as a Distance
. See
Coordinates in other reference frames.
frame_latlon_and_rates
(frame)¶Return a reference frame longitude, latitude, range, and rates.
Return a 6-element tuple of 3 coordinates and 3 rates-of-change
for this position in the given reference frame
:
Angle
from +90° north to −90° southAngle
0°–360° eastDistance
AngleRate
AngleRate
Velocity
If the reference frame is the ICRS, or is J2000, or otherwise involves the celestial equator and pole, then the latitude and longitude returned will measure what are more commonly called “declination” and “right ascension”. Note that right ascension is usually expressed as hours (24 in a circle), rather than in the degrees that this routine will return.
to_skycoord
(unit=None)¶Convert this distance to an AstroPy SkyCoord
object.
is_sunlit
(ephemeris)¶Return whether a position in Earth orbit is in sunlight.
Returns True
or False
, or an array of such values, to
indicate whether this position is in sunlight or is blocked by
the Earth’s shadow. It should work with positions produced
either by calling at()
on a satellite object, or by calling
at()
on the relative position sat - topos
of a satellite
with respect to an Earth observer’s position. See
Find when a satellite is in sunlight.
is_behind_earth
()¶Return whether the Earth blocks the view of this object.
For a position centered on an Earth-orbiting satellite, return whether the target is in eclipse behind the disc of the Earth. See Find whether the Earth blocks a satellite’s view.
from_altaz
(alt=None, az=None, alt_degrees=None, az_degrees=None, distance=<Distance 0.1 au>)¶Generate an Apparent position from an altitude and azimuth.
The altitude and azimuth can each be provided as an Angle
object, or else as a number of degrees provided as either a
float or a tuple of degrees, arcminutes, and arcseconds:
alt=Angle(...), az=Angle(...)
alt_degrees=23.2289, az_degrees=142.1161
alt_degrees=(23, 13, 44.1), az_degrees=(142, 6, 58.1)
The distance should be a Distance
object, if provided; otherwise a default of 0.1 au is used.
skyfield.positionlib.
Barycentric
(position_au, velocity_au_per_d=None, t=None, center=None, target=None)¶An (x,y,z) position measured from the Solar System barycenter.
Skyfield generates a Barycentric
position measured from the
gravitational center of the Solar System whenever you ask a body for
its location at a particular time:
>>> t = ts.utc(2003, 8, 29)
>>> mars.at(t)
<Barycentric BCRS position and velocity at date t center=0 target=499>
This class’s .position
and .velocity
are (x,y,z) vectors in
the Barycentric Celestial Reference System (BCRS), the modern
replacement for J2000 coordinates measured from the Solar System
Barycenter.
This class inherits the methods of is parent class ICRF
as
well as the orientation of its axes in space.
observe
(body)¶Compute the Astrometric
position of a body from this location.
To compute the body’s astrometric position, it is first asked
for its position at the time t
of this position itself. The
distance to the body is then divided by the speed of light to
find how long it takes its light to arrive. Finally, the light
travel time is subtracted from t
and the body is asked for a
series of increasingly exact positions to learn where it was
when it emitted the light that is now reaching this position.
>>> earth.at(t).observe(mars)
<Astrometric ICRS position and velocity at date t center=399 target=499>
skyfield.positionlib.
Astrometric
(position_au, velocity_au_per_d=None, t=None, center=None, target=None)¶An astrometric (x,y,z) position relative to a particular observer.
The astrometric position of a body is its position relative to an
observer, adjusted for light-time delay. It is the position of the
body back when it emitted (or reflected) the light that is now
reaching the observer’s eye or telescope. Astrometric positions are
usually generated in Skyfield by calling the Barycentric
method
observe()
, which performs the light-time correction.
Both the .position
and .velocity
are [x y z]
vectors
oriented along the axes of the ICRF, the modern replacement for the
J2000 reference frame.
It is common to either call .radec()
(with no argument) on an
astrometric position to generate an astrometric place right
ascension and declination with respect to the ICRF axes, or else to
call .apparent()
to generate an Apparent
position.
This class inherits the methods of is parent class ICRF
as
well as the orientation of its axes in space.
apparent
()¶Compute an Apparent
position for this body.
This applies two effects to the position that arise from relativity and shift slightly where the other body will appear in the sky: the deflection that the image will experience if its light passes close to large masses in the Solar System, and the aberration of light caused by the observer’s own velocity.
>>> earth.at(t).observe(mars).apparent()
<Apparent GCRS position and velocity at date t center=399 target=499>
These transforms convert the position from the BCRS reference frame of the Solar System barycenter and to the reference frame of the observer. In the specific case of an Earth observer, the output reference frame is the GCRS.
skyfield.positionlib.
Apparent
(position_au, velocity_au_per_d=None, t=None, center=None, target=None)¶An apparent [x y z]
position relative to a particular observer.
This class’s vectors provide the position and velocity of a body relative to an observer, adjusted to predict where the body’s image will really appear (hence “apparent”) in the sky:
Astrometric
position.These positions are usually produced in Skyfield by calling the
apparent()
method of an Astrometric
object.
Both the .position
and .velocity
are [x y z]
vectors
oriented along the axes of the ICRF, the modern replacement for the
J2000 reference frame. If the observer is at the geocenter, they
are more specifically GCRS coordinates. Two common coordinates that
this vector can generate are:
.radec()
without arguments to compute
right ascension and declination with respect to the fixed axes of
the ICRF..radec('date')
to generate right ascension and declination with respect to the
equator and equinox of date.This class inherits the methods of is parent class ICRF
as
well as the orientation of its axes in space.
altaz
(temperature_C=None, pressure_mbar='standard')¶Compute (alt, az, distance) relative to the observer’s horizon
The altitude returned is an Angle
measured in degrees above the horizon, while the azimuth
Angle
measures east along the horizon
from geographic north (so 0 degrees means north, 90 is east, 180
is south, and 270 is west).
By default, Skyfield does not adjust the altitude for
atmospheric refraction. If you want Skyfield to estimate how
high the atmosphere might lift the body’s image, give the
argument temperature_C
either the temperature in degrees
centigrade, or the string 'standard'
(in which case 10°C is
used).
When calculating refraction, Skyfield uses the observer’s
elevation above sea level to estimate the atmospheric pressure.
If you want to override that value, simply provide a number
through the pressure_mbar
parameter.
skyfield.positionlib.
Geocentric
(position_au, velocity_au_per_d=None, t=None, center=None, target=None)¶An (x,y,z) position measured from the center of the Earth.
A geocentric position is the difference between the position of the Earth at a given instant and the position of a target body at the same instant, without accounting for light-travel time or the effect of relativity on the light itself.
Its .position
and .velocity
vectors have (x,y,z) axes that
are those of the Geocentric Celestial Reference System (GCRS), an
inertial system that is an update to J2000 and that does not rotate
with the Earth itself.
This class inherits the methods of is parent class ICRF
as
well as the orientation of its axes in space.
itrf_xyz
()¶Deprecated; instead, call .frame_xyz(itrs)
. See Coordinates in other reference frames.
subpoint
()¶Deprecated; instead, call either iers2010.subpoint(pos)
or wgs84.subpoint(pos)
.
skyfield.positionlib.
Geometric
(position_au, velocity_au_per_d=None, t=None, center=None, target=None)¶An (x,y,z) vector between two instantaneous position.
A geometric position is the difference between the Solar System positions of two bodies at exactly the same instant. It is not corrected for the fact that, in real physics, it will take time for light to travel from one position to the other.
Both the .position
and .velocity
are (x,y,z) vectors
oriented along the axes of the International Celestial Reference
System (ICRS), the modern replacement for J2000 coordinates.
This class inherits the methods of is parent class ICRF
as
well as the orientation of its axes in space.
altaz
(temperature_C=None, pressure_mbar='standard')¶Compute (alt, az, distance) relative to the observer’s horizon
The altitude returned is an Angle
measured in degrees above the horizon, while the azimuth
Angle
measures east along the horizon
from geographic north (so 0 degrees means north, 90 is east, 180
is south, and 270 is west).
By default, Skyfield does not adjust the altitude for
atmospheric refraction. If you want Skyfield to estimate how
high the atmosphere might lift the body’s image, give the
argument temperature_C
either the temperature in degrees
centigrade, or the string 'standard'
(in which case 10°C is
used).
When calculating refraction, Skyfield uses the observer’s
elevation above sea level to estimate the atmospheric pressure.
If you want to override that value, simply provide a number
through the pressure_mbar
parameter.
skyfield.positionlib.
position_of_radec
(ra_hours, dec_degrees, distance_au=206264806247096.38, epoch=None, t=None, center=None, target=None)¶Build a position object from a right ascension and declination.
If a specific distance_au
is not provided, Skyfield returns a
position vector a gigaparsec in length. This puts the position at a
great enough distance that it will stand at the same right ascension
and declination from any viewing position in the Solar System, to
very high precision (within a few hundredths of a microarcsecond).
If an epoch
is specified, the input coordinates are understood
to be in the dynamical system of that particular date. Otherwise,
they will be assumed to be ICRS (the modern replacement for J2000).
New in version 1.21: This replaces a deprecated function position_from_radec()
whose distance
argument was not as well designed.