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| 1 | +# ISC License |
| 2 | +# |
| 3 | +# Copyright (c) 2025, Laboratory for Atmospheric and Space Physics, University of Colorado at Boulder |
| 4 | +# |
| 5 | +# Permission to use, copy, modify, and/or distribute this software for any |
| 6 | +# purpose with or without fee is hereby granted, provided that the above |
| 7 | +# copyright notice and this permission notice appear in all copies. |
| 8 | +# |
| 9 | +# THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES |
| 10 | +# WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF |
| 11 | +# MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR |
| 12 | +# ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES |
| 13 | +# WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN |
| 14 | +# ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF |
| 15 | +# OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. |
| 16 | + |
| 17 | +from Basilisk.utilities import orbitalMotion as oe_py |
| 18 | +from Basilisk.architecture.orbitalMotion import OrbitalMotion as oe_cpp |
| 19 | +from Basilisk.architecture.orbitalMotion import ClassicalElements as elements_cpp |
| 20 | +import numpy as np |
| 21 | + |
| 22 | + |
| 23 | +def test_rv_oe(): |
| 24 | + gravitational_parameter = 1e10 |
| 25 | + position = np.array([1e5, 1e6, 1e2]) |
| 26 | + velocity = np.array([10, 20, 30]) |
| 27 | + |
| 28 | + elements = oe_py.rv2elem(gravitational_parameter, position, velocity) |
| 29 | + r, v = oe_py.elem2rv(gravitational_parameter, elements) |
| 30 | + np.testing.assert_almost_equal(position, r, 8) |
| 31 | + np.testing.assert_almost_equal(velocity, v, 8) |
| 32 | + |
| 33 | + gravitational_parameter = 1e10 |
| 34 | + position = np.array([1e5, 1e6, 0]) |
| 35 | + h = np.array([0.0, 0.0, 1.0]) |
| 36 | + velocity = np.sqrt(gravitational_parameter / np.linalg.norm(position)) * np.cross( |
| 37 | + h, position / np.linalg.norm(position) |
| 38 | + ) |
| 39 | + elements = oe_py.rv2elem(gravitational_parameter, position, velocity) |
| 40 | + np.testing.assert_almost_equal(elements.a, np.linalg.norm(position), 8) |
| 41 | + np.testing.assert_almost_equal(elements.e, 0, 8) |
| 42 | + np.testing.assert_almost_equal(elements.i, 0, 8) |
| 43 | + |
| 44 | + |
| 45 | +def test_compare_conversions(): |
| 46 | + gravitational_parameter = 1e10 |
| 47 | + position = np.array([1e5, 1e6, 1e2]) |
| 48 | + velocity = np.array([10, 20, 30]) |
| 49 | + |
| 50 | + # state vector to orbital elements |
| 51 | + elements_py = oe_py.rv2elem(gravitational_parameter, position, velocity) |
| 52 | + elements_cpp = oe_cpp.cartesianStateToElements(gravitational_parameter, position, velocity) |
| 53 | + np.testing.assert_almost_equal(elements_py.a, elements_cpp.semiMajorAxis, 8) |
| 54 | + np.testing.assert_almost_equal(elements_py.e, elements_cpp.eccentricity, 8) |
| 55 | + np.testing.assert_almost_equal(elements_py.i, elements_cpp.inclination, 8) |
| 56 | + np.testing.assert_almost_equal(elements_py.Omega, elements_cpp.rightAscensionAscendingNode, 8) |
| 57 | + np.testing.assert_almost_equal(elements_py.omega, elements_cpp.argPeriapsis, 8) |
| 58 | + np.testing.assert_almost_equal(elements_py.f, elements_cpp.trueAnomaly, 8) |
| 59 | + |
| 60 | + # orbital elements to state vectors |
| 61 | + r_py, v_py = oe_py.elem2rv(gravitational_parameter, elements_py) |
| 62 | + state_cpp = oe_cpp.elementsToCartesianState(gravitational_parameter, elements_cpp) |
| 63 | + np.testing.assert_almost_equal(r_py, np.array(state_cpp.position).flatten(), 8) |
| 64 | + np.testing.assert_almost_equal(v_py, np.array(state_cpp.velocity).flatten(), 8) |
| 65 | + |
| 66 | + eccentric_anomaly = 0.5 |
| 67 | + # eccentric to true anomaly and back |
| 68 | + true_anomaly_py = oe_py.E2f(eccentric_anomaly, elements_py.e) |
| 69 | + true_anomaly_cpp = oe_cpp.eccentricToTrueAnomaly(eccentric_anomaly, elements_py.e) |
| 70 | + np.testing.assert_almost_equal(true_anomaly_py, true_anomaly_cpp, 8) |
| 71 | + |
| 72 | + eccentric_anomaly_py = oe_py.f2E(true_anomaly_py, elements_py.e) |
| 73 | + eccentric_anomaly_cpp = oe_cpp.trueToEccentricAnomaly(true_anomaly_cpp, elements_py.e) |
| 74 | + np.testing.assert_almost_equal(eccentric_anomaly, eccentric_anomaly_py, 8) |
| 75 | + np.testing.assert_almost_equal(eccentric_anomaly, eccentric_anomaly_cpp, 8) |
| 76 | + |
| 77 | + # eccentric to mean anomaly |
| 78 | + mean_anomaly_py = oe_py.E2M(eccentric_anomaly, elements_py.e) |
| 79 | + mean_anomaly_cpp = oe_cpp.eccentricToMeanAnomaly(eccentric_anomaly, elements_py.e) |
| 80 | + np.testing.assert_almost_equal(mean_anomaly_py, mean_anomaly_cpp, 8) |
| 81 | + |
| 82 | + eccentric_anomaly_py = oe_py.M2E(mean_anomaly_py, elements_py.e) |
| 83 | + eccentric_anomaly_cpp = oe_cpp.meanToEccentricAnomaly(mean_anomaly_cpp, elements_py.e) |
| 84 | + np.testing.assert_almost_equal(eccentric_anomaly_py, eccentric_anomaly_cpp, 8) |
| 85 | + np.testing.assert_almost_equal(eccentric_anomaly_py, eccentric_anomaly, 8) |
| 86 | + np.testing.assert_almost_equal(eccentric_anomaly_cpp, eccentric_anomaly, 8) |
| 87 | + |
| 88 | + # true to hyperbolic anomaly |
| 89 | + e_hyperbolic = 1.2 |
| 90 | + true_anomaly = 0.234 |
| 91 | + hyper_anomaly_py = oe_py.f2H(true_anomaly, e_hyperbolic) |
| 92 | + hyper_anomaly_cpp = oe_cpp.trueToHyperbolicAnomaly(true_anomaly, e_hyperbolic) |
| 93 | + np.testing.assert_almost_equal(hyper_anomaly_py, hyper_anomaly_cpp, 8) |
| 94 | + |
| 95 | + true_anomaly_py = oe_py.H2f(hyper_anomaly_py, e_hyperbolic) |
| 96 | + true_anomaly_cpp = oe_cpp.hyperbolicToTrueAnomaly(hyper_anomaly_cpp, e_hyperbolic) |
| 97 | + np.testing.assert_almost_equal(true_anomaly_py, true_anomaly_cpp, 8) |
| 98 | + np.testing.assert_almost_equal(true_anomaly_py, true_anomaly, 8) |
| 99 | + np.testing.assert_almost_equal(true_anomaly_cpp, true_anomaly, 8) |
| 100 | + |
| 101 | + # true to mean anomaly |
| 102 | + true_anomaly = 0.234 |
| 103 | + mean_anomaly_py = oe_py.E2M(oe_py.f2E(true_anomaly, elements_py.e), elements_py.e) |
| 104 | + mean_anomaly_cpp = oe_cpp.trueToMeanAnomaly(true_anomaly, elements_py.e) |
| 105 | + np.testing.assert_almost_equal(mean_anomaly_py, mean_anomaly_cpp, 8) |
| 106 | + |
| 107 | + true_anomaly_py = oe_py.E2f(oe_py.M2E(mean_anomaly_py, elements_py.e), elements_py.e) |
| 108 | + true_anomaly_cpp = oe_cpp.meanToTrueAnomaly(mean_anomaly_cpp, elements_py.e) |
| 109 | + np.testing.assert_almost_equal(true_anomaly_py, true_anomaly_cpp, 8) |
| 110 | + np.testing.assert_almost_equal(true_anomaly_py, true_anomaly, 8) |
| 111 | + np.testing.assert_almost_equal(true_anomaly_cpp, true_anomaly, 8) |
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