#include #include "../src/physics.h" #include "../src/orbital_mechanics.h" #include "../src/simulation.h" #include "../src/spacecraft.h" #include "../src/maneuver.h" #include "../src/config_loader.h" #include #include #include const double POSITION_TOLERANCE = 1.0e3; const double VELOCITY_TOLERANCE = 1.0e-3; const double ENERGY_TOLERANCE = 1.0e-6; const double ORBITAL_ELEMENT_TOLERANCE = 1.0e-9; double calculate_spacecraft_kinetic_energy(Spacecraft* craft) { double v_squared = craft->local_velocity.x * craft->local_velocity.x + craft->local_velocity.y * craft->local_velocity.y + craft->local_velocity.z * craft->local_velocity.z; return 0.5 * craft->mass * v_squared; } double calculate_spacecraft_potential_energy(Spacecraft* craft, CelestialBody* parent) { double distance = vec3_magnitude(craft->local_position); if (distance < 1.0) distance = 1.0; return -G * craft->mass * parent->mass / distance; } double calculate_spacecraft_total_energy(Spacecraft* craft, CelestialBody* parent) { return calculate_spacecraft_kinetic_energy(craft) + calculate_spacecraft_potential_energy(craft, parent); } OrbitalElements simulate_continuous_burn(OrbitalElements initial_orbit, double parent_mass, double total_dv, double burn_duration, int num_steps, BurnDirection direction) { OrbitalElements current_orbit = initial_orbit; double dt_burn_step = burn_duration / num_steps; double dv_per_step = total_dv / num_steps; for (int i = 0; i < num_steps; i++) { Vec3 pos; Vec3 vel; orbital_elements_to_cartesian(current_orbit, parent_mass, &pos, &vel); Vec3 dir = get_burn_direction_vector(direction, pos, vel); Vec3 dv_vec = vec3_scale(dir, dv_per_step); vel = vec3_add(vel, dv_vec); current_orbit = cartesian_to_orbital_elements(pos, vel, parent_mass); current_orbit = propagate_orbital_elements(current_orbit, dt_burn_step, parent_mass); } return current_orbit; } TEST_CASE("Config loading for continuous thrust tests", "[hybrid][continuous][config]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); REQUIRE(sim->body_count == 2); REQUIRE(sim->craft_count == 4); REQUIRE(std::string(sim->bodies[0].name) == "Sun"); REQUIRE(std::string(sim->bodies[1].name) == "Earth"); REQUIRE(std::string(sim->spacecraft[0].name) == "Low_Thrust_Ion"); REQUIRE(sim->spacecraft[0].parent_index == 1); REQUIRE(std::string(sim->spacecraft[1].name) == "Multi_Burn_Sequence"); REQUIRE(sim->spacecraft[1].parent_index == 1); REQUIRE(std::string(sim->spacecraft[2].name) == "Mode_Transition"); REQUIRE(sim->spacecraft[2].parent_index == 1); REQUIRE(std::string(sim->spacecraft[3].name) == "Energy_Conservation"); REQUIRE(sim->spacecraft[3].parent_index == 1); destroy_simulation(sim); } TEST_CASE("Continuous low-thrust burns (ion engines)", "[hybrid][continuous][low_thrust]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[0]; CelestialBody* earth = &sim->bodies[1]; double initial_semi_major = craft->orbit.semi_major_axis; double initial_eccentricity = craft->orbit.eccentricity; INFO("Initial semi-major axis: " << initial_semi_major << " m"); INFO("Initial eccentricity: " << initial_eccentricity); double burn_duration = 5000.0; double total_dv = 100.0; int num_steps = 100; OrbitalElements final_orbit = simulate_continuous_burn(craft->orbit, earth->mass, total_dv, burn_duration, num_steps, BURN_PROGRADE); INFO("Final semi-major axis: " << final_orbit.semi_major_axis << " m"); INFO("Final eccentricity: " << final_orbit.eccentricity); REQUIRE(final_orbit.semi_major_axis > initial_semi_major); double a_before = initial_semi_major; double a_after = final_orbit.semi_major_axis; double mu = G * earth->mass; double v_circular_initial = sqrt(mu / a_before); double v_circular_final = sqrt(mu / a_after); double epsilon_initial = -mu / (2.0 * a_before); double epsilon_final = -mu / (2.0 * a_after); double delta_epsilon = epsilon_final - epsilon_initial; INFO("Initial circular velocity: " << v_circular_initial << " m/s"); INFO("Final circular velocity: " << v_circular_final << " m/s"); INFO("Initial specific energy: " << epsilon_initial << " J/kg"); INFO("Final specific energy: " << epsilon_final << " J/kg"); INFO("Energy change: " << delta_epsilon << " J/kg"); INFO("Applied delta-v: " << total_dv << " m/s"); double expected_dv_from_energy = delta_epsilon / v_circular_initial; INFO("Expected delta-v from energy: " << expected_dv_from_energy << " m/s"); double relative_error = fabs(expected_dv_from_energy - total_dv) / total_dv; INFO("Relative error: " << relative_error * 100 << "%"); REQUIRE(relative_error < 0.01); REQUIRE(final_orbit.eccentricity < 0.01); destroy_simulation(sim); } TEST_CASE("Multi-burn sequences", "[hybrid][continuous][multi_burn]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[1]; CelestialBody* earth = &sim->bodies[1]; double initial_semi_major = craft->orbit.semi_major_axis; INFO("Initial semi-major axis: " << initial_semi_major << " m"); double burn_duration_1 = 2000.0; double total_dv_1 = 50.0; int num_steps_1 = 20; OrbitalElements orbit_after_burn1 = simulate_continuous_burn(craft->orbit, earth->mass, total_dv_1, burn_duration_1, num_steps_1, BURN_PROGRADE); INFO("Semi-major axis after burn 1: " << orbit_after_burn1.semi_major_axis << " m"); REQUIRE(orbit_after_burn1.semi_major_axis > initial_semi_major); double burn_duration_2 = 3000.0; double total_dv_2 = 75.0; int num_steps_2 = 30; OrbitalElements final_orbit = simulate_continuous_burn(orbit_after_burn1, earth->mass, total_dv_2, burn_duration_2, num_steps_2, BURN_PROGRADE); INFO("Final semi-major axis: " << final_orbit.semi_major_axis << " m"); REQUIRE(final_orbit.semi_major_axis > orbit_after_burn1.semi_major_axis); double a_before = initial_semi_major; double a_after = final_orbit.semi_major_axis; double mu = G * earth->mass; double v_circular_initial = sqrt(mu / a_before); double v_circular_final = sqrt(mu / a_after); double epsilon_initial = -mu / (2.0 * a_before); double epsilon_final = -mu / (2.0 * a_after); double delta_epsilon = epsilon_final - epsilon_initial; double total_dv_applied = total_dv_1 + total_dv_2; INFO("Total applied delta-v: " << total_dv_applied << " m/s"); INFO("Initial specific energy: " << epsilon_initial << " J/kg"); INFO("Final specific energy: " << epsilon_final << " J/kg"); INFO("Energy change: " << delta_epsilon << " J/kg"); double expected_dv_from_energy = delta_epsilon / v_circular_initial; INFO("Expected delta-v from energy: " << expected_dv_from_energy << " m/s"); double relative_error = fabs(expected_dv_from_energy - total_dv_applied) / total_dv_applied; INFO("Relative error: " << relative_error * 100 << "%"); REQUIRE(relative_error < 0.01); destroy_simulation(sim); } TEST_CASE("Mode transitions during burns", "[hybrid][continuous][mode_transition]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[2]; CelestialBody* earth = &sim->bodies[1]; double initial_semi_major = craft->orbit.semi_major_axis; double initial_eccentricity = craft->orbit.eccentricity; INFO("Initial semi-major axis: " << initial_semi_major << " m"); INFO("Initial eccentricity: " << initial_eccentricity); double burn_duration = 4000.0; double total_dv = 200.0; int num_steps = 80; OrbitalElements current_orbit = craft->orbit; double dt_burn_step = burn_duration / num_steps; double dv_per_step = total_dv / num_steps; for (int i = 0; i < num_steps; i++) { Vec3 pos; Vec3 vel; orbital_elements_to_cartesian(current_orbit, earth->mass, &pos, &vel); Vec3 dir = get_burn_direction_vector(BURN_PROGRADE, pos, vel); Vec3 dv_vec = vec3_scale(dir, dv_per_step); vel = vec3_add(vel, dv_vec); OrbitalElements orbit_from_cart = cartesian_to_orbital_elements(pos, vel, earth->mass); current_orbit = propagate_orbital_elements(orbit_from_cart, dt_burn_step, earth->mass); } INFO("Final semi-major axis: " << current_orbit.semi_major_axis << " m"); INFO("Final eccentricity: " << current_orbit.eccentricity); REQUIRE(current_orbit.semi_major_axis > initial_semi_major); double mu = G * earth->mass; double energy_before = -mu / (2.0 * initial_semi_major); double energy_after = -mu / (2.0 * current_orbit.semi_major_axis); double energy_change = energy_after - energy_before; double expected_energy_change = 0.5 * (sqrt(mu / initial_semi_major) + sqrt(mu / current_orbit.semi_major_axis)) * total_dv; INFO("Energy change: " << energy_change << " J/kg"); INFO("Expected energy change: " << expected_energy_change << " J/kg"); REQUIRE(fabs(energy_change) > 0); destroy_simulation(sim); } TEST_CASE("Energy conservation during burns", "[hybrid][continuous][energy]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[3]; CelestialBody* earth = &sim->bodies[1]; double initial_energy = calculate_spacecraft_total_energy(craft, earth); INFO("Initial total energy: " << initial_energy << " J"); double burn_duration = 6000.0; double total_dv = 150.0; int num_steps = 120; OrbitalElements current_orbit = craft->orbit; double dt_burn_step = burn_duration / num_steps; double dv_per_step = total_dv / num_steps; std::vector energy_history; double max_energy_jump = 0.0; for (int i = 0; i < num_steps; i++) { Vec3 pos; Vec3 vel; orbital_elements_to_cartesian(current_orbit, earth->mass, &pos, &vel); Vec3 dir = get_burn_direction_vector(BURN_PROGRADE, pos, vel); Vec3 dv_vec = vec3_scale(dir, dv_per_step); vel = vec3_add(vel, dv_vec); current_orbit = cartesian_to_orbital_elements(pos, vel, earth->mass); current_orbit = propagate_orbital_elements(current_orbit, dt_burn_step, earth->mass); orbital_elements_to_cartesian(current_orbit, earth->mass, &pos, &vel); Spacecraft temp_craft = *craft; temp_craft.local_position = pos; temp_craft.local_velocity = vel; double current_energy = calculate_spacecraft_total_energy(&temp_craft, earth); energy_history.push_back(current_energy); if (i > 0) { double energy_jump = fabs(current_energy - energy_history[i - 1]); max_energy_jump = fmax(max_energy_jump, energy_jump); } } double final_energy = energy_history[num_steps - 1]; double total_energy_change = final_energy - initial_energy; INFO("Final total energy: " << final_energy << " J"); INFO("Total energy change: " << total_energy_change << " J"); INFO("Max energy jump between steps: " << max_energy_jump << " J"); REQUIRE(total_energy_change > 0); double expected_energy_change_approx = craft->mass * sqrt(G * earth->mass / craft->orbit.semi_major_axis) * total_dv; double relative_error = fabs(total_energy_change - expected_energy_change_approx) / expected_energy_change_approx; INFO("Expected approximate energy change: " << expected_energy_change_approx << " J"); INFO("Relative error: " << relative_error * 100 << "%"); REQUIRE(relative_error < 0.1); double average_step_energy_change = fabs(total_energy_change) / num_steps; double max_jump_ratio = max_energy_jump / average_step_energy_change; INFO("Average energy change per step: " << average_step_energy_change << " J"); INFO("Max jump / average: " << max_jump_ratio); REQUIRE(max_jump_ratio < 10.0); destroy_simulation(sim); } TEST_CASE("Accuracy of continuous vs. impulsive burns", "[hybrid][continuous][accuracy]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[0]; CelestialBody* earth = &sim->bodies[1]; double initial_semi_major = craft->orbit.semi_major_axis; double burn_duration = 5000.0; double total_dv = 100.0; int num_steps_continuous = 100; OrbitalElements orbit_continuous = simulate_continuous_burn(craft->orbit, earth->mass, total_dv, burn_duration, num_steps_continuous, BURN_PROGRADE); OrbitalElements orbit_impulsive = simulate_continuous_burn(craft->orbit, earth->mass, total_dv, burn_duration, 1, BURN_PROGRADE); INFO("Initial semi-major axis: " << initial_semi_major << " m"); INFO("Continuous burn semi-major axis: " << orbit_continuous.semi_major_axis << " m"); INFO("Impulsive burn semi-major axis: " << orbit_impulsive.semi_major_axis << " m"); double difference_semi_major = fabs(orbit_continuous.semi_major_axis - orbit_impulsive.semi_major_axis); double relative_difference = difference_semi_major / orbit_continuous.semi_major_axis * 100.0; INFO("Semi-major axis difference: " << difference_semi_major << " m"); INFO("Relative difference: " << relative_difference << "%"); REQUIRE(relative_difference < 1.0); double mu = G * earth->mass; double v_continuous = sqrt(mu / orbit_continuous.semi_major_axis); double v_impulsive = sqrt(mu / orbit_impulsive.semi_major_axis); double v_difference = fabs(v_continuous - v_impulsive); INFO("Continuous burn velocity: " << v_continuous << " m/s"); INFO("Impulsive burn velocity: " << v_impulsive << " m/s"); INFO("Velocity difference: " << v_difference << " m/s"); REQUIRE(v_difference < 2.0); destroy_simulation(sim); } TEST_CASE("Propagation during continuous burn", "[hybrid][continuous][propagation]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[0]; CelestialBody* earth = &sim->bodies[1]; double burn_duration = 5000.0; double total_dv = 100.0; int num_steps = 100; OrbitalElements current_orbit = craft->orbit; double dt_burn_step = burn_duration / num_steps; double dv_per_step = total_dv / num_steps; std::vector positions; std::vector times; for (int i = 0; i <= num_steps; i++) { Vec3 pos; Vec3 vel; orbital_elements_to_cartesian(current_orbit, earth->mass, &pos, &vel); positions.push_back(pos); times.push_back(i * dt_burn_step); if (i < num_steps) { Vec3 dir = get_burn_direction_vector(BURN_PROGRADE, pos, vel); Vec3 dv_vec = vec3_scale(dir, dv_per_step); vel = vec3_add(vel, dv_vec); current_orbit = cartesian_to_orbital_elements(pos, vel, earth->mass); current_orbit = propagate_orbital_elements(current_orbit, dt_burn_step, earth->mass); } } double total_path_length = 0.0; for (size_t i = 1; i < positions.size(); i++) { total_path_length += vec3_distance(positions[i - 1], positions[i]); } INFO("Total path length during burn: " << total_path_length << " m"); Vec3 pos_start = positions[0]; Vec3 pos_end = positions[num_steps]; double straight_line_distance = vec3_distance(pos_start, pos_end); INFO("Straight-line distance: " << straight_line_distance << " m"); REQUIRE(total_path_length > straight_line_distance); double initial_radius = vec3_magnitude(pos_start); double final_radius = vec3_magnitude(pos_end); INFO("Initial radius: " << initial_radius << " m"); INFO("Final radius: " << final_radius << " m"); REQUIRE(final_radius > initial_radius); double mu = G * earth->mass; double v_initial = sqrt(mu / craft->orbit.semi_major_axis); double epsilon_initial = -mu / (2.0 * craft->orbit.semi_major_axis); double epsilon_final = epsilon_initial + v_initial * total_dv; double a_expected = -mu / (2.0 * epsilon_final); INFO("Expected final semi-major axis: " << a_expected << " m"); double r_at_periapsis = a_expected * (1.0 - craft->orbit.eccentricity); double r_at_apoapsis = a_expected * (1.0 + craft->orbit.eccentricity); INFO("Expected radius at periapsis: " << r_at_periapsis << " m"); INFO("Expected radius at apoapsis: " << r_at_apoapsis << " m"); REQUIRE(final_radius >= r_at_periapsis - 1.0e5); REQUIRE(final_radius <= r_at_apoapsis + 1.0e5); destroy_simulation(sim); } TEST_CASE("Numerical stability during many burn/conversion cycles", "[hybrid][continuous][stability]") { const double TIME_STEP = 60.0; SimulationState* sim = create_simulation(2, 4, 0, TIME_STEP); REQUIRE(load_system_config(sim, "tests/configs/test_hybrid_continuous_thrust.toml")); Spacecraft* craft = &sim->spacecraft[0]; CelestialBody* earth = &sim->bodies[1]; OrbitalElements initial_orbit = craft->orbit; double burn_duration = 5000.0; double total_dv = 100.0; int num_steps = 100; double dt_burn_step = burn_duration / num_steps; double dv_per_step = total_dv / num_steps; std::vector semi_major_history; std::vector eccentricity_history; OrbitalElements current_orbit = craft->orbit; for (int i = 0; i < num_steps; i++) { Vec3 pos; Vec3 vel; orbital_elements_to_cartesian(current_orbit, earth->mass, &pos, &vel); Vec3 dir = get_burn_direction_vector(BURN_PROGRADE, pos, vel); Vec3 dv_vec = vec3_scale(dir, dv_per_step); vel = vec3_add(vel, dv_vec); current_orbit = cartesian_to_orbital_elements(pos, vel, earth->mass); current_orbit = propagate_orbital_elements(current_orbit, dt_burn_step, earth->mass); semi_major_history.push_back(current_orbit.semi_major_axis); eccentricity_history.push_back(current_orbit.eccentricity); } bool monotonic_increase = true; for (size_t i = 1; i < semi_major_history.size(); i++) { if (semi_major_history[i] < semi_major_history[i - 1]) { monotonic_increase = false; break; } } INFO("Monotonic semi-major axis increase: " << (monotonic_increase ? "yes" : "no")); REQUIRE(monotonic_increase); double max_eccentricity = 0.0; double min_eccentricity = 1.0; for (size_t i = 0; i < eccentricity_history.size(); i++) { max_eccentricity = fmax(max_eccentricity, eccentricity_history[i]); min_eccentricity = fmin(min_eccentricity, eccentricity_history[i]); } INFO("Max eccentricity during burn: " << max_eccentricity); INFO("Min eccentricity during burn: " << min_eccentricity); REQUIRE(max_eccentricity < 0.1); double initial_semi_major = initial_orbit.semi_major_axis; double final_semi_major = semi_major_history[num_steps - 1]; double total_change = final_semi_major - initial_semi_major; double average_change_per_step = total_change / num_steps; INFO("Total semi-major axis change: " << total_change << " m"); INFO("Average change per step: " << average_change_per_step << " m"); double max_deviation = 0.0; for (size_t i = 0; i < semi_major_history.size(); i++) { double expected = initial_semi_major + (i + 1) * average_change_per_step; double deviation = fabs(semi_major_history[i] - expected); max_deviation = fmax(max_deviation, deviation); } INFO("Max deviation from linear trend: " << max_deviation << " m"); INFO("Relative deviation: " << (max_deviation / total_change * 100) << "%"); REQUIRE(max_deviation < total_change * 0.5); destroy_simulation(sim); }