.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "nesc_test_cases/nesc_case09.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note :ref:`Go to the end <sphx_glr_download_nesc_test_cases_nesc_case09.py>` to download the full example code. .. rst-class:: sphx-glr-example-title .. _sphx_glr_nesc_test_cases_nesc_case09.py: ============================================================ Case 9: Sphere launched ballistically eastward along Equator ============================================================ ============== =============== Verifies Translational EOM Gravitation J2 Geodesy WGS-84 rotating Atmosphere US 1976 STD Winds still air Vehicle Sphere with constant :math:`C_D` Notes Initial velocity is :math:`\sqrt{2000}` ft/s aligned 45 degrees from vertical, heading east; zero angular rate relative to launch platform. ============== =============== .. GENERATED FROM PYTHON SOURCE LINES 17-101 .. code-block:: Python from simupy.block_diagram import BlockDiagram import simupy_flight import numpy as np from nesc_testcase_helper import plot_nesc_comparisons, int_opts, benchmark from nesc_testcase_helper import ft_per_m, kg_per_slug Ixx = 3.6 * kg_per_slug / (ft_per_m**2) # slug-ft2 Iyy = 3.6 * kg_per_slug / (ft_per_m**2) # slug-ft2 Izz = 3.6 * kg_per_slug / (ft_per_m**2) # slug-ft2 Ixy = 0.0 * kg_per_slug / (ft_per_m**2) # slug-ft2 Iyz = 0.0 * kg_per_slug / (ft_per_m**2) # slug-ft2 Izx = 0.0 * kg_per_slug / (ft_per_m**2) # slug-ft2 m = 1.0 * kg_per_slug # slug x = 0.0 y = 0.0 z = 0.0 S_A = 0.1963495 / (ft_per_m**2) b_l = 1.0 c_l = 1.0 a_l = b_l lat_ic = 0.0 * np.pi / 180 long_ic = 0.0 * np.pi / 180 h_ic = 0.0 / ft_per_m V_N_ic = 000.0 / ft_per_m V_E_ic = 1000.0 / ft_per_m V_D_ic = -1000.0 / ft_per_m psi_ic = 90.0 * np.pi / 180 theta_ic = 0.0 * np.pi / 180 phi_ic = 0.0 * np.pi / 180 omega_X_ic = 0.0 * np.pi / 180 omega_Y_ic = -0.004178073 * np.pi / 180 omega_Z_ic = 0.0 * np.pi / 180 planet = simupy_flight.Planet( gravity=simupy_flight.earth_J2_gravity, winds=simupy_flight.get_constant_winds(), atmosphere=simupy_flight.atmosphere_1976, planetodetics=simupy_flight.Planetodetic( a=simupy_flight.earth_equitorial_radius, omega_p=simupy_flight.earth_rotation_rate, f=simupy_flight.earth_f, ), ) vehicle = simupy_flight.Vehicle( base_aero_coeffs=simupy_flight.get_constant_aero(CD_b=0.1), m=m, I_xx=Ixx, I_yy=Iyy, I_zz=Izz, I_xy=Ixy, I_yz=Iyz, I_xz=Izx, x_com=x, y_com=y, z_com=z, x_mrc=x, y_mrc=y, z_mrc=z, S_A=S_A, a_l=a_l, b_l=b_l, c_l=c_l, d_l=0.0, ) BD = BlockDiagram(planet, vehicle) BD.connect(planet, vehicle, inputs=np.arange(planet.dim_output)) BD.connect(vehicle, planet, inputs=np.arange(vehicle.dim_output)) planet.initial_condition = planet.ic_from_planetodetic( long_ic, lat_ic, h_ic, V_N_ic, V_E_ic, V_D_ic, psi_ic, theta_ic, phi_ic ) planet.initial_condition[-3:] = omega_X_ic, omega_Y_ic, omega_Z_ic with benchmark() as b: res = BD.simulate(30, integrator_options=int_opts) .. rst-class:: sphx-glr-script-out .. code-block:: none time to simulate: 1.682 s .. GENERATED FROM PYTHON SOURCE LINES 102-104 .. code-block:: Python plot_nesc_comparisons(res, "09") .. rst-class:: sphx-glr-horizontal * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_001.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_001.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_002.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_002.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_003.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_003.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_004.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_004.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_005.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_005.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_006.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_006.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_007.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_007.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_008.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_008.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_009.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_009.png :class: sphx-glr-multi-img * .. image-sg:: /nesc_test_cases/images/sphx_glr_nesc_case09_010.png :alt: nesc case09 :srcset: /nesc_test_cases/images/sphx_glr_nesc_case09_010.png :class: sphx-glr-multi-img .. rst-class:: sphx-glr-timing **Total running time of the script:** (0 minutes 6.248 seconds) .. _sphx_glr_download_nesc_test_cases_nesc_case09.py: .. only:: html .. container:: sphx-glr-footer sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: nesc_case09.ipynb <nesc_case09.ipynb>` .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: nesc_case09.py <nesc_case09.py>` .. container:: sphx-glr-download sphx-glr-download-zip :download:`Download zipped: nesc_case09.zip <nesc_case09.zip>` .. only:: html .. rst-class:: sphx-glr-signature `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_