Case 1: Dropped sphere with no drag

Verifies	Gravitation, translational EOM
Gravitation	J2
Geodesy	WGS-84 rotating
Atmosphere	US 1976 STD
Winds	still air
Vehicle	Dragless sphere
Notes	Drag coefficient set to zero

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

Construct the Planet model according to the configuration listed above

planet = simupy_flight.Planet(
    gravity=simupy_flight.earth_J2_gravity,
    winds=simupy_flight.get_constant_winds(),
    atmosphere=simupy_flight.get_constant_atmosphere(),
    planetodetics=simupy_flight.Planetodetic(
        a=simupy_flight.earth_equitorial_radius,
        omega_p=simupy_flight.earth_rotation_rate,
        f=simupy_flight.earth_f,
    ),
)

Since there is no dynamics model (aerodynamic drag is set to zero) there is no need to define a Vehicle model. So we construct the BlockDiagram with just the planet object

BD = BlockDiagram(planet)

List the planetodetic initial conditions and use the ic_from_planetodetic method to transform it to the inertial coordinate system needed for the initial condition

lat_ic = 0.0 * np.pi / 180
long_ic = 0.0 * np.pi / 180
h_ic = 30_000 / ft_per_m
V_N_ic = 0.0
V_E_ic = 0.0
V_D_ic = 0.0
psi_ic = 0.0 * np.pi / 180
theta_ic = 0.0 * np.pi / 180
phi_ic = 0.0 * np.pi / 180
omega_X_ic = 0.0
omega_Y_ic = 0.0
omega_Z_ic = 0.0

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

Simulate the dropped sphere

Note

The generated code performs a divide by zero if the velocity is zero, generating RuntimeWarnings. However, this condition is checked and handled correctly

with benchmark() as b:
    res = BD.simulate(30, integrator_options=int_opts)

Out:

/home/runner/work/simupy-flight/simupy-flight/simupy_flight/kinematics.py:198: RuntimeWarning: invalid value encountered in double_scalars
  x60 = x6*(2*x26*x54 + x58*(-x13 + x14) + x59*(x33 + x55))/x53
time to simulate: 1.321 s

Plot the results of the simulation

plot_nesc_comparisons(res, "01")

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