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Flight Dynamic Library

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This library was started to better understand how Flight Dynamics works. It has no intent of efficiency nor performance at the moment, and the goal is mainly to develop a simple API for space observations.

The sources of this library can be found at github and are under the MIT license.


Beyond requires Python 3.6+, numpy and sgp4. To install the library and its dependencies use pip

pip install beyond



import numpy as np
from import Tle
from beyond.frames import create_station
from beyond.dates import Date, timedelta

# Parse TLE
tle = Tle("""ISS (ZARYA)
1 25544U 98067A   19072.15347313  .00000167  00000-0  10147-4 0  9997
2 25544  51.6420 118.6717 0004098  99.2855 123.2259 15.52799885160336""")

# Create a station from which to compute the pass
station = create_station('KSC', (28.524058, -80.65085, 0.0))

for orb in station.visibility(tle.orbit(),, stop=timedelta(days=1), step=timedelta(minutes=2), events=True):

    # As all angles are given in radians,
    # there is some conversion to do
    azim = -np.degrees(orb.theta) % 360
    elev = np.degrees(orb.phi)
    r = orb.r / 1000.

    print("{event:10} {}  {date:%Y-%m-%dT%H:%M:%S.%f} {azim:7.2f} {elev:7.2f} {r:10.2f}".format(, r=r, azim=azim, elev=elev,
        tle=tle, event=orb.event if orb.event is not None else ""

    # Stop at the end of the first pass
    if orb.event and == "LOS":

This library is used as basis for the Space-Command utility.

Commons usages for this library are:


A lot of the formulas and flight dynamic algorithm are based on Vallado’s Fundamentals of Astrodynamic and Applications 4th ed.

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