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Add Walker Delta constellation setup scenario
[squash] fixed copyright year [squash] fix typos [squash] remove un-needed import [squash] removed un-needed comments [squash] make simulation run faster needed to avoid having pytest take too long [squash] make sure the vizInterface code only runs if vizInterface is built also, comment out the saveFile argument as we don't want to safe off sim data by default [squash] fix a matplotlib warning about the color sequence [squash] The mercator map is not part of the repo. I'm removing including it in the figure. This code was not running as committed. added unit test for scenario script [squash] make sure the plots are closed first before plotting This is important if these scripts are called in a squential manner as prior plotting can leak into this script [squash] make sure the plotted figures are return They must be returned as a dictionary list so the pytest can save them off. [squash] add the missing Vizard image (small jpg) to make the documentation fully build [squash] Expand documentation to start by defining Walker numbers add Walker Delta constellation setup scenario#
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# | ||
# ISC License | ||
# | ||
# Copyright (c) 2023, Autonomous Vehicle Systems Lab, University of Colorado at Boulder | ||
# | ||
# Permission to use, copy, modify, and/or distribute this software for any | ||
# purpose with or without fee is hereby granted, provided that the above | ||
# copyright notice and this permission notice appear in all copies. | ||
# | ||
# THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | ||
# WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | ||
# MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | ||
# ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | ||
# WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | ||
# ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | ||
# OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | ||
# | ||
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r""" | ||
Overview | ||
-------- | ||
This scenario demonstrates how to set up a Walker-Delta constellation of satellites. Note that this scenario | ||
uses the stand-alone Basilisk architecture rather than using the ''examples/FormationBskSim`` or ``examples/MultiSatBskSim`` | ||
architectures for simultaneously simulating multiple spacecraft. | ||
The script is found in the folder ``basilisk/examples`` and executed by using:: | ||
python3 scenarioSatelliteConstellation.py | ||
When designing a satellite constellation, symmetry provides repeatable performance and makes design and operations simpler. One | ||
such symmetric constellation design methodology is the Walker constellation which consists of circular orbits in evenly spaced | ||
planes at a chosen inclination. Walker constellation layouts are fully specified by four parameters written as "i:T/P/F" where: | ||
* i = inclination angle | ||
* T = total number of satellites in the constellation | ||
* P = numer of orbit planes evenly spaced in node angle | ||
* F = relative spacing between satellites in adjacent orbit planes | ||
In order to simulate the constellation a semi-major axis 'a' is also specified as an input. The total number of satellites T must | ||
be specified as an integer multiple of the number of planes P. The relative spacing F must be an integer between 0 and (P-1). | ||
Illustration of Simulation Results | ||
---------------------------------- | ||
:: | ||
show_plots = True, a = 29994000, i = 56, T = 24, P = 3, F = 1 | ||
The default scenario is modelled after the Galileo constellation with Walker numbers 56:24/3/1 and a semi-major axis of 29,994 km. | ||
.. image:: /_images/Scenarios/scenarioSatelliteConstellation.svg | ||
:align: center | ||
Each line color corresponds to a different orbital plane, in this case 3 planes. Green circles mark the start of each of the 24 | ||
individual satellite's ground tracks and a red circle marks their end. | ||
Simulation Visualization In Vizard | ||
---------------------------------- | ||
To add a visualization of each spacecraft's Earth nadir pointing, a cone aligned with the pointing direction | ||
is created through the ``vizInterface``:: | ||
vizSupport.createConeInOut(viz, fromBodyName=scList[i].ModelTag, toBodyName='earth', coneColor='teal', | ||
normalVector_B=[1, 0, 0], incidenceAngle=30/macros.D2R, isKeepIn=False, | ||
coneHeight=10.0, coneName='pointingCone') | ||
.. image:: /_images/static/scenarioSatelliteConstellationVizard.jpg | ||
:scale: 50% | ||
:align: center | ||
""" | ||
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# | ||
# Basilisk Scenario Script and Integrated Test | ||
# | ||
# Purpose: Demonstrates how to use the stand alone Basilisk architecture to automate | ||
# the setup of a Walker constellation. | ||
# Author: Andrew Morell | ||
# Creation Date: Dec. 13, 2023 | ||
# | ||
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import os | ||
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import matplotlib.pyplot as plt | ||
import numpy as np | ||
from Basilisk import __path__ | ||
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bskPath = __path__[0] | ||
fileName = os.path.basename(os.path.splitext(__file__)[0]) | ||
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from Basilisk.simulation import (spacecraft, ephemerisConverter) | ||
from Basilisk.utilities import (SimulationBaseClass, macros, orbitalMotion, | ||
simIncludeGravBody, unitTestSupport, vizSupport) | ||
from Basilisk.fswAlgorithms import locationPointing | ||
from Basilisk.simulation import (simpleNav, planetEphemeris) | ||
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# always import the Basilisk messaging support | ||
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def run(show_plots, a, i, T, P, F): | ||
""" | ||
The scenario can be run with the followings setups parameters: | ||
Args: | ||
show_plots (bool): Determines if the script should display plots | ||
a (float): semi-major axis of all satellites [m] | ||
i (float): orbital inclination [rad] | ||
T (int): total number of satellites | ||
P (int): number of equally spaced orbital planes | ||
F (int): phasing between satellites in adjacent places | ||
""" | ||
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# Create simulation variable names | ||
simTaskName = "simTask" | ||
simProcessName = "simProcess" | ||
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# Create a sim module as an empty container | ||
scSim = SimulationBaseClass.SimBaseClass() | ||
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# (Optional) If you want to see a simulation progress bar in the terminal window, the | ||
# use the following SetProgressBar(True) statement | ||
scSim.SetProgressBar(True) | ||
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# create the simulation process | ||
dynProcess = scSim.CreateNewProcess(simProcessName) | ||
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# create the dynamics task and specify the integration update time | ||
simulationTimeStep = macros.sec2nano(30.) | ||
dynProcess.addTask(scSim.CreateNewTask(simTaskName, simulationTimeStep)) | ||
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# clear prior gravitational body and SPICE setup definitions | ||
gravFactory = simIncludeGravBody.gravBodyFactory() | ||
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# setup Earth Gravity Body | ||
earth = gravFactory.createEarth() | ||
earth.isCentralBody = True # ensure this is the central gravitational body | ||
mu = earth.mu | ||
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# Create the ephemeris converter module | ||
spiceObject = gravFactory.createSpiceInterface(time="2029 June 12 5:30:30.0", epochInMsg=True) | ||
spiceObject.zeroBase = 'Earth' | ||
scSim.AddModelToTask(simTaskName, spiceObject) | ||
ephemObject = ephemerisConverter.EphemerisConverter() | ||
ephemObject.ModelTag = "ephemData" | ||
ephemObject.addSpiceInputMsg(spiceObject.planetStateOutMsgs[0]) # Earth | ||
scSim.AddModelToTask(simTaskName, ephemObject) | ||
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# spacecraft inertia | ||
I = [900., 0., 0., | ||
0., 800., 0., | ||
0., 0., 600.] | ||
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# set the simulation time to be two orbit periods | ||
n = np.sqrt(mu / a / a / a) | ||
Pr = 2. * np.pi / n | ||
simulationTime = macros.sec2nano(1.5 * Pr) | ||
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# create a logging task object of the spacecraft output message at the desired down sampling ratio | ||
numDataPoints = 500 | ||
samplingTime = unitTestSupport.samplingTime(simulationTime, simulationTimeStep, numDataPoints) | ||
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if (np.mod(T,1) !=0 or np.mod(P,1) !=0 or np.mod(F,1) != 0 or T < 1 or P < 1 or F < 1): | ||
raise Exception('number of satellites T, number of planes P, and relative spaceing F must be positive integer numbers') | ||
if (np.mod(T,P) !=0): | ||
raise Exception('number of satellites T must be an integer multiple of P') | ||
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# pre-compute Walker constellation parameters | ||
PU = 360/T # patter unit in degrees | ||
S = T/P # number of satellites in each plane | ||
delta_RAAN = S*PU # delta RAAN in degrees | ||
delta_nu = P*PU # in plane spacing of satellites | ||
oe = orbitalMotion.ClassicElements() | ||
oe.a = a | ||
oe.e = 0.01 | ||
oe.i = i | ||
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# initialize T spacecraft objects and set properties | ||
scList = [] | ||
navList = [] | ||
guideList = [] | ||
dataRec = [] | ||
for i in range(T): | ||
# initialize spacecraft object | ||
scList.append(spacecraft.Spacecraft()) | ||
scList[i].ModelTag = "bsk-Sat-"+str(i) | ||
scSim.AddModelToTask(simTaskName, scList[i]) | ||
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# attach gravity model to spacecraft | ||
scList[i].gravField.gravBodies = spacecraft.GravBodyVector(list(gravFactory.gravBodies.values())) | ||
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# setup the orbit using classical orbit elements | ||
RAAN = delta_RAAN * np.floor(i/S) | ||
oe.Omega = RAAN * macros.D2R | ||
oe.omega = F * np.floor(i/S) * macros.D2R | ||
oe.f = delta_nu * np.mod(i,S) * macros.D2R | ||
rN, vN = orbitalMotion.elem2rv(mu, oe) | ||
scList[i].hub.r_CN_NInit = rN # [m] | ||
scList[i].hub.v_CN_NInit = vN # [m/s] | ||
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# set the spacecraft mass and inertia | ||
scList[i].hub.mHub = 750.0 # kg - spacecraft mass | ||
scList[i].hub.IHubPntBc_B = unitTestSupport.np2EigenMatrix3d(I) | ||
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# set up prescribed attitude guidance | ||
navList.append(simpleNav.SimpleNav()) | ||
navList[i].ModelTag = "SimpleNav"+str(i) | ||
scSim.AddModelToTask(simTaskName, navList[i]) | ||
navList[i].scStateInMsg.subscribeTo(scList[i].scStateOutMsg) | ||
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# setup nadir pointing guidance module | ||
guideList.append(locationPointing.locationPointing()) | ||
guideList[i].ModelTag = "nadirPoint"+str(i) | ||
guideList[i].pHat_B = [1, 0, 0] | ||
guideList[i].scTransInMsg.subscribeTo(navList[i].transOutMsg) | ||
guideList[i].scAttInMsg.subscribeTo(navList[i].attOutMsg) | ||
guideList[i].celBodyInMsg.subscribeTo(ephemObject.ephemOutMsgs[0]) | ||
scSim.AddModelToTask(simTaskName, guideList[i]) | ||
scList[i].attRefInMsg.subscribeTo(guideList[i].attRefOutMsg) | ||
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# record spacecraft states | ||
dataRec.append(scList[i].scStateOutMsg.recorder(samplingTime)) | ||
scSim.AddModelToTask(simTaskName, dataRec[i]) | ||
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# If you wish to transmit the simulation data to the United based Vizard Visualization application, | ||
# then uncomment the following saveFile line | ||
if vizSupport.vizFound: | ||
viz = vizSupport.enableUnityVisualization(scSim, simTaskName, scList, | ||
# saveFile=__file__ | ||
) | ||
for i in range(T): | ||
vizSupport.createConeInOut(viz, fromBodyName=scList[i].ModelTag, toBodyName='earth', coneColor='teal', | ||
normalVector_B=[1, 0, 0], incidenceAngle=30/macros.D2R, isKeepIn=False, | ||
coneHeight=10.0, coneName='pointingCone') | ||
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# initialize simulation | ||
scSim.InitializeSimulation() | ||
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# configure a simulation stop time and execute the simulation run | ||
scSim.ConfigureStopTime(simulationTime) | ||
scSim.ExecuteSimulation() | ||
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# plot the ground track | ||
plt.close("all") # clears out plots from earlier test runs | ||
figureList = {} | ||
plt.figure(1) | ||
for n in range(T): | ||
# calculate latitude and longitude | ||
[lon, lat] = rv2latlon(dataRec[n]) | ||
color = unitTestSupport.getLineColor(int(np.floor(n/S)), 3) | ||
plt.scatter(lat, lon, s=5, c=[color]) | ||
plt.scatter(lat[0], lon[0], s=20, c='#00A300') | ||
plt.scatter(lat[-1], lon[-1], s=20, c='#A30000') | ||
plt.xlim([-180,180]) | ||
plt.ylim([-90,90]) | ||
plt.xticks(range(-180,181,30)) | ||
plt.yticks(range(-90,91,15)) | ||
plt.xlabel('longitude (degrees)') | ||
plt.ylabel('lattitude (degrees)') | ||
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pltName = fileName | ||
figureList[pltName] = plt.figure(1) | ||
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if show_plots: | ||
plt.show() | ||
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# close the plots being saved off to avoid over-writing old and new figures | ||
plt.close("all") | ||
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return figureList | ||
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def rv2latlon(dataRec): | ||
times = dataRec.times() * macros.NANO2SEC | ||
rECI = dataRec.r_BN_N | ||
lat = np.zeros(times.shape) | ||
lon = np.zeros(times.shape) | ||
for i in range(len(times)): | ||
theta = times[i]*planetEphemeris.OMEGA_EARTH | ||
dcm_ECI2ECEF = [[np.cos(theta), np.sin(theta), 0], | ||
[-np.sin(theta), np.cos(theta), 0], | ||
[0, 0, 1]] | ||
rECEF = dcm_ECI2ECEF@rECI[i,:] | ||
lat[i] = np.arcsin(rECEF[2]/np.linalg.norm(rECEF)) * macros.R2D | ||
lon[i] = np.arctan2(rECEF[1],rECEF[0]) * macros.R2D | ||
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return lat, lon | ||
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if __name__ == "__main__": | ||
run( | ||
True, # show_plots | ||
29994000, # semi-major axis [m] | ||
56, # orbit inclination [deg] | ||
24, # total number of satellites (int) | ||
3, # number of orbit planes (int) | ||
1 # phasing (int) | ||
) |
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# | ||
# ISC License | ||
# | ||
# Copyright (c) 2023, Autonomous Vehicle Systems Lab, University of Colorado at Boulder | ||
# | ||
# Permission to use, copy, modify, and/or distribute this software for any | ||
# purpose with or without fee is hereby granted, provided that the above | ||
# copyright notice and this permission notice appear in all copies. | ||
# | ||
# THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES | ||
# WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF | ||
# MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR | ||
# ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES | ||
# WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN | ||
# ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF | ||
# OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. | ||
# | ||
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# | ||
# Basilisk Scenario Script and Integrated Test | ||
# | ||
# Author: Hanspeter Schaub | ||
# Creation Date: Dec. 13, 2023 | ||
# | ||
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import inspect | ||
import os | ||
import sys | ||
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import pytest | ||
from Basilisk.utilities import unitTestSupport | ||
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# Get current file path | ||
filename = inspect.getframeinfo(inspect.currentframe()).filename | ||
path = os.path.dirname(os.path.abspath(filename)) | ||
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sys.path.append(path + '/../../examples') | ||
import scenarioSatelliteConstellation | ||
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@pytest.mark.scenarioTest | ||
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def test_bskAttitudePointing(show_plots): | ||
"""This function is called by the py.test environment.""" | ||
# each test method requires a single assert method to be called | ||
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testFailCount = 0 # zero unit test result counter | ||
testMessages = [] # create empty array to store test log messages | ||
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try: | ||
figureList = scenarioSatelliteConstellation.run(show_plots, | ||
29994000, # semi-major axis [m] | ||
56, # orbit inclination [deg] | ||
24, # total number of satellites (int) | ||
3, # number of orbit planes (int) | ||
1) # phasing (int) | ||
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# save the figures to the Doxygen scenario images folder | ||
for pltName, plt in list(figureList.items()): | ||
unitTestSupport.saveScenarioFigure(pltName, plt, path) | ||
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except OSError as err: | ||
testFailCount += 1 | ||
testMessages.append("scenarioSatelliteConstellation test are failed.") | ||
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# print out success message if no error were found | ||
if testFailCount == 0: | ||
print("PASSED ") | ||
else: | ||
print(testFailCount) | ||
print(testMessages) | ||
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# each test method requires a single assert method to be called | ||
# this check below just makes sure no sub-test failures were found | ||
assert testFailCount < 1, testMessages | ||
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