Modeling Custom Satellite Attitude and Gimbal Steering
This example shows how to point a satellite or gimbal in a satellite scenario using logged orientation data from a timetable
or timeseries
. It uses data generated by the Aerospace Blockset™ Spacecraft Dynamics block. For more information about the data and how to generate it, see the Aerospace Blockset example Analyzing Spacecraft Attitude Profiles with Satellite Scenario.
The satelliteScenario
object lets you load previously generated, time-stamped ephemeris and attitude data into a scenario as timeseries
or timetable
objects. Data is interpolated in the scenario
object to align with the scenario time steps, allowing you to incorporate data generated in a Simulink model into either a new or existing satelliteScenario
object. For this example, the satellite orbit and attitude states are precomputed by the Spacecraft Dynamics block. Load this data to the workspace and use it to model a satellite to a satelliteScenario
object for access analysis.
Define Mission Parameters and Satellite Initial Conditions
Specify a start date and duration for the mission. This example uses MATLAB® structures to organize mission data. These structures make accessing data later in the example more intuitive. They also help declutter the global base workspace.
mission.StartDate = datetime(2021,1,1,12,0,0); mission.Duration = hours(1.5);
Specify initial orbital elements for the satellite.
mission.Satellite.SemiMajorAxis = 7.2e6; % meters mission.Satellite.Eccentricity = .05; mission.Satellite.Inclination = 70; % deg mission.Satellite.ArgOfPeriapsis = 0; % deg mission.Satellite.RAAN = 215; % deg mission.Satellite.TrueAnomaly = 200; % deg
Specify an initial attitude state for the satellite.
mission.Satellite.q0 = [1, 0, 0, 0];
mission.Satellite.pqr = [0, 0, 0]; % deg/s
Load Ephemeris and Attitude Profile
The Simulink® model used to generate data for this example is configured to perform an Earth Observation mission during which a satellite performs a flyover of a region of the Amazon Rainforest to capture images of, and track deforestation trends in, the area.
The satellite points at the nadir when not actively imaging or downlinking to the ground station in Svalbard, NO. The Aerospace Blockset Attitude Profile block calculates commanded attitude. The satellite uses spherical harmonic gravity model EGM2008 for orbit propagation. Gravity gradient torque contributions are also included in attitude dynamics. For more information about this model, see the Aerospace Blockset example Analyzing Spacecraft Attitude Profiles with Satellite Scenario.
The timetable
objects contain position and attitude data for the satellite throughout the mission. The data is referenced in the inertial (ICRF/GCRF) reference frame. Attitude values are expressed as quaternions, although Euler angles are also supported.
mission.Data = load("SatelliteScenarioCustomAttitudeData.mat", "PositionTimeTableGCRF", "AttitudeTimeTableGCRF2Body"); display(mission.Data.PositionTimeTableGCRF)
1148×1 timetable Time Data __________ _________________________________________ 0 sec 5.2953e+06 4.784e+06 -2.422e+06 5 sec 5.2783e+06 4.7859e+06 -2.4532e+06 10 sec 5.2611e+06 4.7877e+06 -2.4842e+06 13.263 sec 5.2499e+06 4.7888e+06 -2.5045e+06 15 sec 5.2439e+06 4.7894e+06 -2.5152e+06 16.982 sec 5.237e+06 4.79e+06 -2.5275e+06 18.72 sec 5.231e+06 4.7906e+06 -2.5382e+06 20 sec 5.2265e+06 4.791e+06 -2.5462e+06 25 sec 5.209e+06 4.7925e+06 -2.577e+06 30 sec 5.1914e+06 4.7938e+06 -2.6079e+06 35 sec 5.1737e+06 4.7951e+06 -2.6386e+06 40 sec 5.1559e+06 4.7962e+06 -2.6693e+06 45 sec 5.1379e+06 4.7972e+06 -2.6999e+06 50 sec 5.1198e+06 4.7982e+06 -2.7305e+06 55 sec 5.1016e+06 4.799e+06 -2.761e+06 60 sec 5.0832e+06 4.7997e+06 -2.7915e+06 65 sec 5.0648e+06 4.8002e+06 -2.8218e+06 70 sec 5.0462e+06 4.8007e+06 -2.8522e+06 75 sec 5.0275e+06 4.8011e+06 -2.8824e+06 80 sec 5.0087e+06 4.8013e+06 -2.9126e+06 85 sec 4.9898e+06 4.8014e+06 -2.9427e+06 90 sec 4.9708e+06 4.8014e+06 -2.9727e+06 95 sec 4.9516e+06 4.8013e+06 -3.0027e+06 100 sec 4.9324e+06 4.8011e+06 -3.0326e+06 105 sec 4.913e+06 4.8008e+06 -3.0624e+06 110 sec 4.8935e+06 4.8004e+06 -3.0922e+06 115 sec 4.8739e+06 4.7998e+06 -3.1219e+06 120 sec 4.8541e+06 4.7992e+06 -3.1515e+06 125 sec 4.8343e+06 4.7984e+06 -3.181e+06 127.05 sec 4.8261e+06 4.7981e+06 -3.1931e+06 127.91 sec 4.8227e+06 4.7979e+06 -3.1982e+06 128.78 sec 4.8192e+06 4.7978e+06 -3.2033e+06 130 sec 4.8143e+06 4.7975e+06 -3.2105e+06 132.95 sec 4.8025e+06 4.797e+06 -3.2278e+06 135 sec 4.7943e+06 4.7965e+06 -3.2398e+06 140 sec 4.7741e+06 4.7954e+06 -3.2692e+06 145 sec 4.7538e+06 4.7942e+06 -3.2984e+06 150 sec 4.7334e+06 4.7929e+06 -3.3275e+06 155 sec 4.7129e+06 4.7914e+06 -3.3566e+06 160 sec 4.6922e+06 4.7899e+06 -3.3856e+06 165 sec 4.6715e+06 4.7882e+06 -3.4145e+06 170 sec 4.6506e+06 4.7864e+06 -3.4434e+06 175 sec 4.6297e+06 4.7845e+06 -3.4721e+06 180 sec 4.6086e+06 4.7825e+06 -3.5008e+06 185 sec 4.5874e+06 4.7804e+06 -3.5294e+06 190 sec 4.5662e+06 4.7782e+06 -3.5579e+06 195 sec 4.5448e+06 4.7758e+06 -3.5863e+06 200 sec 4.5233e+06 4.7734e+06 -3.6147e+06 205 sec 4.5017e+06 4.7708e+06 -3.6429e+06 210 sec 4.48e+06 4.7681e+06 -3.6711e+06 215 sec 4.4581e+06 4.7653e+06 -3.6992e+06 220 sec 4.4362e+06 4.7624e+06 -3.7272e+06 225 sec 4.4142e+06 4.7594e+06 -3.7551e+06 230 sec 4.3921e+06 4.7563e+06 -3.7829e+06 235 sec 4.3698e+06 4.753e+06 -3.8106e+06 240 sec 4.3475e+06 4.7497e+06 -3.8382e+06 245 sec 4.325e+06 4.7462e+06 -3.8658e+06 250 sec 4.3025e+06 4.7426e+06 -3.8932e+06 255 sec 4.2799e+06 4.7389e+06 -3.9206e+06 260 sec 4.2571e+06 4.7351e+06 -3.9479e+06 265 sec 4.2343e+06 4.7312e+06 -3.975e+06 270 sec 4.2113e+06 4.7271e+06 -4.0021e+06 275 sec 4.1883e+06 4.723e+06 -4.0291e+06 280 sec 4.1651e+06 4.7188e+06 -4.056e+06 285 sec 4.1419e+06 4.7144e+06 -4.0828e+06 290 sec 4.1185e+06 4.7099e+06 -4.1095e+06 295 sec 4.0951e+06 4.7053e+06 -4.1361e+06 300 sec 4.0716e+06 4.7006e+06 -4.1626e+06 305 sec 4.0479e+06 4.6958e+06 -4.189e+06 310 sec 4.0242e+06 4.6909e+06 -4.2153e+06 315 sec 4.0004e+06 4.6858e+06 -4.2415e+06 320 sec 3.9764e+06 4.6807e+06 -4.2676e+06 325 sec 3.9524e+06 4.6754e+06 -4.2936e+06 330 sec 3.9283e+06 4.6701e+06 -4.3195e+06 335 sec 3.9041e+06 4.6646e+06 -4.3453e+06 340 sec 3.8798e+06 4.659e+06 -4.371e+06 345 sec 3.8554e+06 4.6533e+06 -4.3965e+06 350 sec 3.8309e+06 4.6475e+06 -4.422e+06 355 sec 3.8064e+06 4.6415e+06 -4.4474e+06 360 sec 3.7817e+06 4.6355e+06 -4.4726e+06 365 sec 3.7569e+06 4.6293e+06 -4.4978e+06 370 sec 3.7321e+06 4.6231e+06 -4.5229e+06 375 sec 3.7072e+06 4.6167e+06 -4.5478e+06 380 sec 3.6821e+06 4.6102e+06 -4.5726e+06 385 sec 3.657e+06 4.6036e+06 -4.5974e+06 390 sec 3.6318e+06 4.5969e+06 -4.622e+06 395 sec 3.6065e+06 4.5901e+06 -4.6465e+06 400 sec 3.5812e+06 4.5832e+06 -4.6709e+06 405 sec 3.5557e+06 4.5762e+06 -4.6951e+06 410 sec 3.5302e+06 4.569e+06 -4.7193e+06 415 sec 3.5045e+06 4.5618e+06 -4.7434e+06 420 sec 3.4788e+06 4.5544e+06 -4.7673e+06 425 sec 3.453e+06 4.547e+06 -4.7911e+06 430 sec 3.4272e+06 4.5394e+06 -4.8148e+06 435 sec 3.4012e+06 4.5317e+06 -4.8384e+06 440 sec 3.3751e+06 4.5239e+06 -4.8619e+06 445 sec 3.349e+06 4.516e+06 -4.8852e+06 450 sec 3.3228e+06 4.508e+06 -4.9085e+06 455 sec 3.2965e+06 4.4998e+06 -4.9316e+06 460 sec 3.2702e+06 4.4916e+06 -4.9546e+06 465 sec 3.2437e+06 4.4833e+06 -4.9775e+06 470 sec 3.2172e+06 4.4748e+06 -5.0003e+06 475 sec 3.1906e+06 4.4663e+06 -5.0229e+06 480 sec 3.1639e+06 4.4576e+06 -5.0454e+06 485 sec 3.1372e+06 4.4488e+06 -5.0678e+06 490 sec 3.1104e+06 4.44e+06 -5.0901e+06 495 sec 3.0834e+06 4.431e+06 -5.1122e+06 500 sec 3.0565e+06 4.4219e+06 -5.1343e+06 505 sec 3.0294e+06 4.4127e+06 -5.1562e+06 510 sec 3.0023e+06 4.4034e+06 -5.1779e+06 515 sec 2.9751e+06 4.3939e+06 -5.1996e+06 520 sec 2.9478e+06 4.3844e+06 -5.2211e+06 525 sec 2.9205e+06 4.3748e+06 -5.2425e+06 530 sec 2.8931e+06 4.3651e+06 -5.2638e+06 535 sec 2.8656e+06 4.3552e+06 -5.2849e+06 540 sec 2.838e+06 4.3453e+06 -5.3059e+06 545 sec 2.8104e+06 4.3352e+06 -5.3268e+06 550 sec 2.7827e+06 4.3251e+06 -5.3476e+06 555 sec 2.755e+06 4.3148e+06 -5.3682e+06 560 sec 2.7271e+06 4.3044e+06 -5.3887e+06 565 sec 2.6992e+06 4.294e+06 -5.409e+06 570 sec 2.6713e+06 4.2834e+06 -5.4293e+06 575 sec 2.6433e+06 4.2727e+06 -5.4494e+06 580 sec 2.6152e+06 4.2619e+06 -5.4693e+06 585 sec 2.587e+06 4.251e+06 -5.4892e+06 590 sec 2.5588e+06 4.24e+06 -5.5088e+06 595 sec 2.5305e+06 4.2289e+06 -5.5284e+06 600 sec 2.5022e+06 4.2177e+06 -5.5478e+06 605 sec 2.4738e+06 4.2064e+06 -5.5671e+06 610 sec 2.4453e+06 4.195e+06 -5.5863e+06 615 sec 2.4168e+06 4.1835e+06 -5.6053e+06 620 sec 2.3882e+06 4.1719e+06 -5.6241e+06 625 sec 2.3596e+06 4.1602e+06 -5.6429e+06 630 sec 2.3309e+06 4.1484e+06 -5.6615e+06 635 sec 2.3021e+06 4.1364e+06 -5.6799e+06 640 sec 2.2733e+06 4.1244e+06 -5.6983e+06 645 sec 2.2445e+06 4.1123e+06 -5.7164e+06 650 sec 2.2155e+06 4.1001e+06 -5.7345e+06 655 sec 2.1866e+06 4.0877e+06 -5.7524e+06 660 sec 2.1575e+06 4.0753e+06 -5.7701e+06 665 sec 2.1284e+06 4.0628e+06 -5.7877e+06 670 sec 2.0993e+06 4.0502e+06 -5.8052e+06 675 sec 2.0701e+06 4.0374e+06 -5.8225e+06 680 sec 2.0409e+06 4.0246e+06 -5.8397e+06 685 sec 2.0116e+06 4.0117e+06 -5.8567e+06 690 sec 1.9822e+06 3.9987e+06 -5.8736e+06 695 sec 1.9529e+06 3.9855e+06 -5.8903e+06 700 sec 1.9234e+06 3.9723e+06 -5.9069e+06 705 sec 1.8939e+06 3.959e+06 -5.9234e+06 710 sec 1.8644e+06 3.9456e+06 -5.9397e+06 715 sec 1.8348e+06 3.932e+06 -5.9558e+06 720 sec 1.8052e+06 3.9184e+06 -5.9719e+06 725 sec 1.7755e+06 3.9047e+06 -5.9877e+06 730 sec 1.7458e+06 3.8909e+06 -6.0034e+06 735 sec 1.7161e+06 3.877e+06 -6.019e+06 740 sec 1.6863e+06 3.863e+06 -6.0344e+06 745 sec 1.6564e+06 3.8489e+06 -6.0496e+06 750 sec 1.6265e+06 3.8347e+06 -6.0647e+06 755 sec 1.5966e+06 3.8204e+06 -6.0797e+06 760 sec 1.5667e+06 3.806e+06 -6.0945e+06 765 sec 1.5367e+06 3.7915e+06 -6.1091e+06 770 sec 1.5066e+06 3.777e+06 -6.1236e+06 775 sec 1.4765e+06 3.7623e+06 -6.138e+06 780 sec 1.4464e+06 3.7475e+06 -6.1522e+06 785 sec 1.4163e+06 3.7327e+06 -6.1662e+06 790 sec 1.3861e+06 3.7177e+06 -6.1801e+06 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915 sec 6.2207e+05 3.3145e+06 -6.4755e+06 920 sec 5.9122e+05 3.2972e+06 -6.4852e+06 925 sec 5.6036e+05 3.2798e+06 -6.4947e+06 930 sec 5.2948e+05 3.2624e+06 -6.5041e+06 935 sec 4.9859e+05 3.2449e+06 -6.5133e+06 940 sec 4.6769e+05 3.2273e+06 -6.5223e+06 945 sec 4.3678e+05 3.2096e+06 -6.5312e+06 950 sec 4.0585e+05 3.1918e+06 -6.5399e+06 955 sec 3.7492e+05 3.174e+06 -6.5484e+06 960 sec 3.4397e+05 3.1561e+06 -6.5568e+06 965 sec 3.1302e+05 3.138e+06 -6.565e+06 970 sec 2.8205e+05 3.1199e+06 -6.573e+06 975 sec 2.5108e+05 3.1018e+06 -6.5808e+06 980 sec 2.2011e+05 3.0835e+06 -6.5885e+06 985 sec 1.8912e+05 3.0652e+06 -6.596e+06 990 sec 1.5814e+05 3.0468e+06 -6.6034e+06 995 sec 1.2715e+05 3.0283e+06 -6.6106e+06 1000 sec 96153 3.0097e+06 -6.6176e+06 1005 sec 65156 2.9911e+06 -6.6244e+06 1010 sec 34158 2.9724e+06 -6.6311e+06 1015 sec 3159 2.9536e+06 -6.6376e+06 1020 sec -27840 2.9347e+06 -6.6439e+06 1025 sec -58839 2.9157e+06 -6.65e+06 1030 sec -89836 2.8967e+06 -6.656e+06 1035 sec -1.2083e+05 2.8776e+06 -6.6618e+06 1040 sec -1.5182e+05 2.8584e+06 -6.6674e+06 1045 sec -1.8281e+05 2.8392e+06 -6.6729e+06 1050 sec -2.1379e+05 2.8199e+06 -6.6782e+06 1055 sec -2.4477e+05 2.8005e+06 -6.6833e+06 1060 sec -2.7574e+05 2.781e+06 -6.6882e+06 1065 sec -3.067e+05 2.7614e+06 -6.6929e+06 1070 sec -3.3766e+05 2.7418e+06 -6.6975e+06 1075 sec -3.6861e+05 2.7221e+06 -6.7019e+06 1080 sec -3.9954e+05 2.7024e+06 -6.7062e+06 1085 sec -4.3047e+05 2.6826e+06 -6.7102e+06 1090 sec -4.6139e+05 2.6627e+06 -6.7141e+06 1095 sec -4.9229e+05 2.6427e+06 -6.7178e+06 1100 sec -5.2318e+05 2.6226e+06 -6.7213e+06 1105 sec -5.5406e+05 2.6025e+06 -6.7247e+06 1110 sec -5.8492e+05 2.5824e+06 -6.7278e+06 1115 sec -6.1577e+05 2.5621e+06 -6.7308e+06 1120 sec -6.466e+05 2.5418e+06 -6.7336e+06 1125 sec -6.7741e+05 2.5214e+06 -6.7363e+06 1130 sec -7.0821e+05 2.501e+06 -6.7387e+06 1135 sec -7.3898e+05 2.4805e+06 -6.741e+06 1140 sec -7.6974e+05 2.4599e+06 -6.7431e+06 1145 sec -8.0048e+05 2.4393e+06 -6.7451e+06 1150 sec 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4.4883e+06 4975 sec 5.6572e+06 1.9586e+06 4.4631e+06 4980 sec 5.6714e+06 1.9797e+06 4.4378e+06 4985 sec 5.6854e+06 2.0007e+06 4.4124e+06 4990 sec 5.6992e+06 2.0217e+06 4.3869e+06 4995 sec 5.713e+06 2.0426e+06 4.3613e+06 5000 sec 5.7266e+06 2.0635e+06 4.3356e+06 5005 sec 5.74e+06 2.0843e+06 4.3097e+06 5010 sec 5.7534e+06 2.1051e+06 4.2838e+06 5015 sec 5.7665e+06 2.1258e+06 4.2578e+06 5020 sec 5.7796e+06 2.1465e+06 4.2316e+06 5025 sec 5.7925e+06 2.1671e+06 4.2054e+06 5030 sec 5.8053e+06 2.1877e+06 4.1791e+06 5035 sec 5.8179e+06 2.2082e+06 4.1526e+06 5040 sec 5.8304e+06 2.2287e+06 4.1261e+06 5045 sec 5.8428e+06 2.2491e+06 4.0995e+06 5050 sec 5.855e+06 2.2695e+06 4.0728e+06 5055 sec 5.8671e+06 2.2898e+06 4.0459e+06 5060 sec 5.879e+06 2.3101e+06 4.019e+06 5065 sec 5.8908e+06 2.3303e+06 3.992e+06 5070 sec 5.9025e+06 2.3504e+06 3.9649e+06 5075 sec 5.914e+06 2.3705e+06 3.9377e+06 5080 sec 5.9254e+06 2.3905e+06 3.9104e+06 5085 sec 5.9366e+06 2.4105e+06 3.883e+06 5090 sec 5.9477e+06 2.4304e+06 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2.8902e+06 3.17e+06 5215 sec 6.179e+06 2.9086e+06 3.1405e+06 5220 sec 6.1864e+06 2.9269e+06 3.1108e+06 5225 sec 6.1936e+06 2.9451e+06 3.0811e+06 5230 sec 6.2007e+06 2.9632e+06 3.0514e+06 5235 sec 6.2076e+06 2.9813e+06 3.0215e+06 5240 sec 6.2144e+06 2.9993e+06 2.9916e+06 5245 sec 6.2211e+06 3.0172e+06 2.9616e+06 5250 sec 6.2276e+06 3.0351e+06 2.9315e+06 5255 sec 6.234e+06 3.0529e+06 2.9014e+06 5260 sec 6.2402e+06 3.0706e+06 2.8712e+06 5265 sec 6.2462e+06 3.0883e+06 2.8409e+06 5270 sec 6.2522e+06 3.1059e+06 2.8106e+06 5275 sec 6.2579e+06 3.1234e+06 2.7802e+06 5280 sec 6.2636e+06 3.1408e+06 2.7497e+06 5285 sec 6.2691e+06 3.1582e+06 2.7192e+06 5290 sec 6.2744e+06 3.1754e+06 2.6886e+06 5295 sec 6.2796e+06 3.1926e+06 2.6579e+06 5300 sec 6.2846e+06 3.2098e+06 2.6272e+06 5305 sec 6.2895e+06 3.2268e+06 2.5964e+06 5310 sec 6.2943e+06 3.2438e+06 2.5656e+06 5315 sec 6.2989e+06 3.2607e+06 2.5347e+06 5320 sec 6.3034e+06 3.2776e+06 2.5037e+06 5325 sec 6.3077e+06 3.2943e+06 2.4727e+06 5330 sec 6.3118e+06 3.311e+06 2.4416e+06 5335 sec 6.3158e+06 3.3276e+06 2.4105e+06 5340 sec 6.3197e+06 3.3441e+06 2.3793e+06 5345 sec 6.3234e+06 3.3606e+06 2.3481e+06 5350 sec 6.327e+06 3.377e+06 2.3168e+06 5355 sec 6.3304e+06 3.3933e+06 2.2854e+06 5360 sec 6.3337e+06 3.4095e+06 2.254e+06 5365 sec 6.3369e+06 3.4256e+06 2.2226e+06 5370 sec 6.3398e+06 3.4417e+06 2.191e+06 5375 sec 6.3427e+06 3.4576e+06 2.1595e+06 5380 sec 6.3454e+06 3.4735e+06 2.1279e+06 5385 sec 6.3479e+06 3.4893e+06 2.0962e+06 5390 sec 6.3503e+06 3.5051e+06 2.0645e+06 5395 sec 6.3526e+06 3.5207e+06 2.0327e+06 5400 sec 6.3547e+06 3.5363e+06 2.0009e+06
display(mission.Data.AttitudeTimeTableGCRF2Body)
1148×1 timetable Time Data __________ _______________________________________________________ 0 sec 0.1509 0.48681 0.30311 -0.80522 5 sec 0.15061 0.48761 0.3033 -0.80472 10 sec 0.15003 0.48914 0.30368 -0.80375 13.263 sec 0.14977 0.48986 0.30387 -0.80329 15 sec 0.14967 0.49013 0.30395 -0.80311 16.982 sec 0.14958 0.49035 0.30402 -0.80297 18.72 sec 0.14954 0.49047 0.30406 -0.80288 20 sec 0.14952 0.49052 0.30409 -0.80285 25 sec 0.14956 0.49043 0.30412 -0.80289 30 sec 0.14975 0.48994 0.30407 -0.80317 35 sec 0.15005 0.48913 0.30395 -0.80365 40 sec 0.15045 0.48809 0.30378 -0.80427 45 sec 0.15092 0.48684 0.30356 -0.80502 50 sec 0.15145 0.48544 0.30331 -0.80586 55 sec 0.15202 0.48392 0.30303 -0.80678 60 sec 0.15263 0.48229 0.30273 -0.80775 65 sec 0.15326 0.48059 0.30242 -0.80876 70 sec 0.15392 0.47882 0.30208 -0.80981 75 sec 0.1546 0.477 0.30174 -0.81088 80 sec 0.15529 0.47514 0.30138 -0.81197 85 sec 0.15599 0.47325 0.30102 -0.81307 90 sec 0.1567 0.47134 0.30065 -0.81419 95 sec 0.15741 0.4694 0.30027 -0.81531 100 sec 0.15813 0.46744 0.29989 -0.81643 105 sec 0.15885 0.46547 0.29951 -0.81756 110 sec 0.15958 0.46349 0.29912 -0.81869 115 sec 0.1603 0.46149 0.29872 -0.81981 120 sec 0.16103 0.45949 0.29833 -0.82094 125 sec 0.16176 0.45748 0.29793 -0.82206 127.05 sec 0.16206 0.45666 0.29777 -0.82252 127.91 sec 0.16218 0.45631 0.2977 -0.82271 128.78 sec 0.16231 0.45596 0.29763 -0.82291 130 sec 0.16249 0.45547 0.29753 -0.82318 132.95 sec 0.16292 0.45427 0.29729 -0.82384 135 sec 0.16322 0.45345 0.29712 -0.8243 140 sec 0.16394 0.45142 0.29672 -0.82541 145 sec 0.16467 0.44939 0.29631 -0.82652 150 sec 0.1654 0.44736 0.2959 -0.82762 155 sec 0.16613 0.44532 0.29549 -0.82872 160 sec 0.16685 0.44328 0.29507 -0.82982 165 sec 0.16758 0.44123 0.29466 -0.83091 170 sec 0.1683 0.43918 0.29424 -0.83199 175 sec 0.16902 0.43713 0.29382 -0.83308 180 sec 0.16975 0.43508 0.2934 -0.83415 185 sec 0.17047 0.43302 0.29298 -0.83522 190 sec 0.17119 0.43097 0.29255 -0.83629 195 sec 0.17191 0.4289 0.29212 -0.83735 200 sec 0.17263 0.42684 0.2917 -0.8384 205 sec 0.17334 0.42477 0.29126 -0.83945 210 sec 0.17406 0.4227 0.29083 -0.8405 215 sec 0.17477 0.42063 0.2904 -0.84154 220 sec 0.17549 0.41856 0.28996 -0.84258 225 sec 0.1762 0.41648 0.28953 -0.84361 230 sec 0.17691 0.4144 0.28909 -0.84463 235 sec 0.17762 0.41232 0.28865 -0.84565 240 sec 0.17833 0.41024 0.2882 -0.84666 245 sec 0.17904 0.40815 0.28776 -0.84767 250 sec 0.17975 0.40606 0.28731 -0.84868 255 sec 0.18046 0.40397 0.28686 -0.84968 260 sec 0.18116 0.40188 0.28641 -0.85067 265 sec 0.18187 0.39978 0.28596 -0.85166 270 sec 0.18257 0.39768 0.28551 -0.85264 275 sec 0.18327 0.39558 0.28506 -0.85362 280 sec 0.18397 0.39348 0.2846 -0.85459 285 sec 0.18467 0.39137 0.28414 -0.85556 290 sec 0.18537 0.38927 0.28368 -0.85652 295 sec 0.18607 0.38716 0.28322 -0.85748 300 sec 0.18677 0.38504 0.28276 -0.85843 305 sec 0.18746 0.38293 0.28229 -0.85938 310 sec 0.18816 0.38081 0.28182 -0.86032 315 sec 0.18885 0.37869 0.28136 -0.86126 320 sec 0.18954 0.37657 0.28089 -0.86219 325 sec 0.19023 0.37445 0.28041 -0.86312 330 sec 0.19092 0.37232 0.27994 -0.86404 335 sec 0.19161 0.37019 0.27946 -0.86495 340 sec 0.1923 0.36806 0.27899 -0.86586 345 sec 0.19298 0.36593 0.27851 -0.86677 350 sec 0.19367 0.36379 0.27803 -0.86767 355 sec 0.19435 0.36165 0.27755 -0.86856 360 sec 0.19504 0.35951 0.27706 -0.86945 365 sec 0.19572 0.35737 0.27658 -0.87034 370 sec 0.1964 0.35522 0.27609 -0.87122 375 sec 0.19708 0.35308 0.2756 -0.87209 380 sec 0.19776 0.35093 0.27511 -0.87296 385 sec 0.19843 0.34878 0.27462 -0.87382 390 sec 0.19911 0.34662 0.27412 -0.87468 395 sec 0.19979 0.34447 0.27363 -0.87553 400 sec 0.20046 0.34231 0.27313 -0.87638 405 sec 0.20113 0.34015 0.27263 -0.87722 410 sec 0.2018 0.33798 0.27213 -0.87806 415 sec 0.20247 0.33582 0.27163 -0.87889 420 sec 0.20314 0.33365 0.27112 -0.87972 425 sec 0.20381 0.33148 0.27062 -0.88054 430 sec 0.20448 0.32931 0.27011 -0.88135 435 sec 0.20514 0.32714 0.2696 -0.88216 440 sec 0.20581 0.32496 0.26909 -0.88297 445 sec 0.20647 0.32278 0.26858 -0.88377 450 sec 0.20714 0.3206 0.26806 -0.88456 455 sec 0.2078 0.31842 0.26755 -0.88535 460 sec 0.20846 0.31623 0.26703 -0.88614 465 sec 0.20911 0.31405 0.26651 -0.88691 470 sec 0.20977 0.31186 0.26599 -0.88769 475 sec 0.21043 0.30967 0.26547 -0.88846 480 sec 0.21108 0.30747 0.26494 -0.88922 485 sec 0.21174 0.30528 0.26442 -0.88998 490 sec 0.21239 0.30308 0.26389 -0.89073 495 sec 0.21304 0.30088 0.26336 -0.89147 500 sec 0.21369 0.29868 0.26283 -0.89222 505 sec 0.21434 0.29647 0.2623 -0.89295 510 sec 0.21499 0.29426 0.26176 -0.89368 515 sec 0.21564 0.29206 0.26123 -0.89441 520 sec 0.21628 0.28985 0.26069 -0.89513 525 sec 0.21693 0.28763 0.26015 -0.89584 530 sec 0.21757 0.28542 0.25961 -0.89655 535 sec 0.21821 0.2832 0.25907 -0.89725 540 sec 0.21885 0.28098 0.25852 -0.89795 545 sec 0.21949 0.27876 0.25798 -0.89865 550 sec 0.22013 0.27654 0.25743 -0.89933 555 sec 0.22077 0.27431 0.25688 -0.90002 560 sec 0.2214 0.27208 0.25633 -0.90069 565 sec 0.22204 0.26985 0.25578 -0.90136 570 sec 0.22267 0.26762 0.25522 -0.90203 575 sec 0.2233 0.26539 0.25467 -0.90269 580 sec 0.22393 0.26315 0.25411 -0.90334 585 sec 0.22456 0.26092 0.25355 -0.90399 590 sec 0.22519 0.25868 0.25299 -0.90464 595 sec 0.22582 0.25644 0.25243 -0.90528 600 sec 0.22644 0.25419 0.25186 -0.90591 605 sec 0.22707 0.25195 0.2513 -0.90654 610 sec 0.22769 0.2497 0.25073 -0.90716 615 sec 0.22831 0.24745 0.25016 -0.90778 620 sec 0.22894 0.2452 0.24959 -0.90839 625 sec 0.22956 0.24294 0.24902 -0.909 630 sec 0.23017 0.24069 0.24844 -0.9096 635 sec 0.23079 0.23843 0.24787 -0.91019 640 sec 0.23141 0.23617 0.24729 -0.91078 645 sec 0.23202 0.23391 0.24671 -0.91136 650 sec 0.23263 0.23165 0.24613 -0.91194 655 sec 0.23325 0.22938 0.24555 -0.91252 660 sec 0.23386 0.22711 0.24497 -0.91308 665 sec 0.23447 0.22484 0.24438 -0.91365 670 sec 0.23507 0.22257 0.24379 -0.9142 675 sec 0.23568 0.2203 0.24321 -0.91475 680 sec 0.23629 0.21802 0.24261 -0.9153 685 sec 0.23689 0.21575 0.24202 -0.91584 690 sec 0.23749 0.21347 0.24143 -0.91637 695 sec 0.23809 0.21119 0.24083 -0.9169 700 sec 0.23869 0.20891 0.24024 -0.91743 705 sec 0.23929 0.20662 0.23964 -0.91794 710 sec 0.23989 0.20433 0.23904 -0.91846 715 sec 0.24049 0.20205 0.23844 -0.91896 720 sec 0.24108 0.19976 0.23783 -0.91946 725 sec 0.24168 0.19746 0.23723 -0.91996 730 sec 0.24227 0.19517 0.23662 -0.92045 735 sec 0.24286 0.19288 0.23601 -0.92093 740 sec 0.24345 0.19058 0.2354 -0.92141 745 sec 0.24404 0.18828 0.23479 -0.92188 750 sec 0.24462 0.18598 0.23418 -0.92235 755 sec 0.24521 0.18367 0.23357 -0.92281 760 sec 0.24579 0.18137 0.23295 -0.92327 765 sec 0.24638 0.17906 0.23233 -0.92372 770 sec 0.24696 0.17676 0.23171 -0.92416 775 sec 0.24754 0.17445 0.23109 -0.9246 780 sec 0.24812 0.17213 0.23047 -0.92504 785 sec 0.24869 0.16982 0.22984 -0.92546 790 sec 0.24927 0.16751 0.22922 -0.92589 795 sec 0.24984 0.16519 0.22859 -0.9263 800 sec 0.25042 0.16287 0.22796 -0.92671 805 sec 0.25099 0.16055 0.22733 -0.92712 810 sec 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4975 sec 0.019036 -0.83004 -0.3342 0.44608 4980 sec 0.018257 -0.82894 -0.3343 0.44807 4985 sec 0.017479 -0.82785 -0.33439 0.45005 4990 sec 0.0167 -0.82675 -0.33448 0.45203 4995 sec 0.015921 -0.82564 -0.33457 0.45401 5000 sec 0.015142 -0.82453 -0.33466 0.45599 5005 sec 0.014363 -0.82341 -0.33474 0.45797 5010 sec 0.013584 -0.82229 -0.33482 0.45994 5015 sec 0.012805 -0.82117 -0.3349 0.4619 5020 sec 0.012026 -0.82004 -0.33498 0.46387 5025 sec 0.011248 -0.81891 -0.33505 0.46583 5030 sec 0.010469 -0.81778 -0.33513 0.46779 5035 sec 0.0096899 -0.81663 -0.3352 0.46974 5040 sec 0.0089111 -0.81549 -0.33526 0.47169 5045 sec 0.0081324 -0.81434 -0.33533 0.47364 5050 sec 0.0073536 -0.81319 -0.33539 0.47559 5055 sec 0.0065749 -0.81203 -0.33545 0.47753 5060 sec 0.0057962 -0.81087 -0.33551 0.47947 5065 sec 0.0050175 -0.8097 -0.33557 0.4814 5070 sec 0.0042389 -0.80853 -0.33562 0.48334 5075 sec 0.0034603 -0.80736 -0.33567 0.48527 5080 sec 0.0026818 -0.80618 -0.33572 0.48719 5085 sec 0.0019033 -0.805 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5310 sec -0.033033 -0.74756 -0.33561 0.57222 5315 sec -0.033806 -0.74619 -0.33556 0.57399 5320 sec -0.034579 -0.74482 -0.3355 0.57575 5325 sec -0.035352 -0.74344 -0.33545 0.57751 5330 sec -0.036125 -0.74206 -0.33539 0.57927 5335 sec -0.036897 -0.74068 -0.33533 0.58103 5340 sec -0.037669 -0.73929 -0.33526 0.58278 5345 sec -0.038441 -0.7379 -0.3352 0.58452 5350 sec -0.039213 -0.73651 -0.33513 0.58627 5355 sec -0.039985 -0.73511 -0.33506 0.58801 5360 sec -0.040756 -0.7337 -0.33499 0.58975 5365 sec -0.041527 -0.7323 -0.33491 0.59148 5370 sec -0.042298 -0.73089 -0.33484 0.59321 5375 sec -0.043069 -0.72947 -0.33476 0.59494 5380 sec -0.043839 -0.72806 -0.33468 0.59666 5385 sec -0.04461 -0.72663 -0.3346 0.59838 5390 sec -0.04538 -0.72521 -0.33451 0.60009 5395 sec -0.046149 -0.72378 -0.33443 0.60181 5400 sec -0.046919 -0.72235 -0.33434 0.60351
Create the Satellite Scenario
Create a satellite scenario object to use for analysis. Specify a timestep of 1 minute.
scenario = satelliteScenario(mission.StartDate, ...
mission.StartDate + mission.Duration, 60);
Add the two targets as ground stations in Brazil and Svalbard.
gsNO = groundStation(scenario, 78, 21, Name="Svalbard, NO")
gsNO = GroundStation with properties: Name: Svalbard, NO ID: 1 Latitude: 78 degrees Longitude: 21 degrees Altitude: 0 meters MinElevationAngle: 0 degrees ConicalSensors: [1x0 matlabshared.satellitescenario.ConicalSensor] Gimbals: [1x0 matlabshared.satellitescenario.Gimbal] Transmitters: [1x0 satcom.satellitescenario.Transmitter] Receivers: [1x0 satcom.satellitescenario.Receiver] Accesses: [1x0 matlabshared.satellitescenario.Access] Eclipse: [1x0 Aero.satellitescenario.Eclipse] CoordinateAxes: [1x1 matlabshared.satellitescenario.CoordinateAxes] MarkerColor: [1 0.4118 0.1608] MarkerSize: 6 ShowLabel: true LabelFontColor: [1 1 1] LabelFontSize: 15
gsAmazon = groundStation(scenario, -4.9, -66, Name="Amazon Rainforest")
gsAmazon = GroundStation with properties: Name: Amazon Rainforest ID: 2 Latitude: -4.9 degrees Longitude: -66 degrees Altitude: 0 meters MinElevationAngle: 0 degrees ConicalSensors: [1x0 matlabshared.satellitescenario.ConicalSensor] Gimbals: [1x0 matlabshared.satellitescenario.Gimbal] Transmitters: [1x0 satcom.satellitescenario.Transmitter] Receivers: [1x0 satcom.satellitescenario.Receiver] Accesses: [1x0 matlabshared.satellitescenario.Access] Eclipse: [1x0 Aero.satellitescenario.Eclipse] CoordinateAxes: [1x1 matlabshared.satellitescenario.CoordinateAxes] MarkerColor: [1 0.4118 0.1608] MarkerSize: 6 ShowLabel: true LabelFontColor: [1 1 1] LabelFontSize: 15
Add the Satellite From the Loaded Trajectory
Add the observation satellite to the scenario.
sat = satellite(scenario, mission.Data.PositionTimeTableGCRF, ... "CoordinateFrame", "inertial", "Name", "ObservationSat");
Add a conical sensor to the satellite, with a 35 deg half angle to represent the onboard camera. Enable field of view visualization in the scenario viewer. To assist in visualization, the sensor is mounted 10m from the satellite in the +z direction.
snsr = conicalSensor(sat, MaxViewAngle=70, MountingLocation=[0 0 1]); fieldOfView(snsr);
Add access between the conical sensor and the two ground stations.
acNO = access(snsr, gsNO)
acNO = Access with properties: Sequence: [4 1] LineWidth: 3 LineColor: [0.3922 0.8314 0.0745]
acAmazon = access(snsr, gsAmazon)
acAmazon = Access with properties: Sequence: [4 2] LineWidth: 3 LineColor: [0.3922 0.8314 0.0745]
Point the Satellite With the Loaded Attitude Profile
Use the pointAt
method to associate the logged attitude timetable
with the satellite. Parameter ExtrapolationMethod
controls the pointing behavior outside of the timetable
range.
pointAt(sat, mission.Data.AttitudeTimeTableGCRF2Body, ... "CoordinateFrame", "inertial", "Format", "quaternion", "ExtrapolationMethod", "nadir");
Visualize the Scenario
Open the Satellite Scenario Viewer to view and interact with the scenario.
viewer1 = satelliteScenarioViewer(scenario);
Assign a 3-D model to the satellite and visualize its coordinate axes. The red, green and blue arrows point along the x, y and z axes of the body frame of the satellite.
sat.Visual3DModel = "SmallSat.glb";
coordinateAxes(sat, Scale=2);
camtarget(viewer1, sat);
The satellite points at the nadir to begin the scenario. The magenta marker represents the conical sensor.
As the satellite nears Target 1 in the Amazon Rainforest, it slews to point and track this target.
After the imaging segment is complete, the satellite returns to pointing at the nadir.
As the satellite comes into range of the arctic ground station, it slews to point at this target.
Custom Gimbal Steering
This example shows how to import custom attitude data for a simple Earth Observation satellite mission, where the onboard camera is fixed to the satellite body. Another common approach is to fix the sensor on a gimbal and orient the sensor by maneuvering the gimbal, rather than the spacecraft body itself. Modify the above scenario to mount the sensor on a gimbal and steer the gimbal to perform uniform sweeps of the area directly below the satellite.
Reset the satellite to always point at the nadir, overwriting the previously provided custom attitude profile.
delete(viewer1);
pointAt(sat, "nadir");
Delete the existing sensor object to remove it from the satellite and attach a new sensor with the same properties to a gimbal.
delete(snsr); gim = gimbal(sat); snsr = conicalSensor(gim, MaxViewAngle=70, MountingLocation=[0 0 10]); fieldOfView(snsr);
Define azimuth and elevation angles for gimbal steering to model a sweeping pattern over time below the satellite.
gimbalSweep.Time = seconds(1:50:5000)'; gimbalSweep.Az = [... 45*ones(1,7),... 45:-5:-45,... -45*ones(1,13),... -45:5:45,... 45*ones(1,13),... 45:-5:-45,... -45*ones(1,13)]; gimbalSweep.Az(end-2:end) = []; gimbalSweep.Az = gimbalSweep.Az + 90; gimbalSweep.El = [... 0:-5:-30,... -30*ones(1,19),... -30:5:30,... 30*ones(1,19),... 30:-5:-30,... -30*ones(1,19),... -30:5:30]; gimbalSweep.El(end-2:end) = [];
Plot the commanded azimuth and elevation values over time.
figure(1) hold on; plot(gimbalSweep.Time', gimbalSweep.Az); plot(gimbalSweep.Time', gimbalSweep.El); hold off; legend(["Az (deg)", "El (deg)"]);
Store the azimuth and elevation angles in a timetable
.
gimbalSweep.TT = timetable(gimbalSweep.Time, [gimbalSweep.Az', gimbalSweep.El']);
Steer the gimbal with the timetable
. The gimbal returns to its default orientation for timesteps that are outside of the provided data.
pointAt(gim, gimbalSweep.TT);
View the updated scenario in the Satellite Scenario Viewer.
viewer2 = satelliteScenarioViewer(scenario);
See Also
Objects
satelliteScenario
|satelliteScenarioViewer
|Satellite
|GroundStation
|ConicalSensor
|Gimbal
|Access
|FieldOfView
Functions
Related Examples
- Modeling Satellite Constellations Using Ephemeris Data
- Satellite Constellation Access to Ground Station