vibe coding an orbital mechanics simulation to try out claude code
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#include <catch2/catch_test_macros.hpp>
#include <catch2/matchers/catch_matchers_floating_point.hpp>
#include "../src/physics.h"
#include "../src/simulation.h"
#include "../src/orbital_objects.h"
#include "../src/maneuver.h"
#include "../src/config_loader.h"
#include "../src/orbital_mechanics.h"
#include <cmath>
// Test: Check omega after prograde burn that flips eccentricity vector direction
TEST_CASE("Omega calculation after prograde burn", "[omega][debug]") {
double parent_mass = 5.972e24; // Earth mass
// Initial orbit: zero inclination, omega = 0
// Start at apoapsis where eccentricity vector points opposite to position
OrbitalElements elements = {0};
elements.semi_major_axis = 1.0e7;
elements.eccentricity = 0.3;
elements.true_anomaly = M_PI; // Start at apoapsis
elements.inclination = 1e-12; // Tiny inclination to trigger atan2 path
elements.longitude_of_ascending_node = 0.0;
elements.argument_of_periapsis = 0.0;
// Get initial position and velocity
Vec3 pos, vel;
orbital_elements_to_cartesian(elements, parent_mass, &pos, &vel);
// Get initial eccentricity vector
Vec3 v = vel;
double r = vec3_magnitude(pos);
double mu = G * parent_mass;
Vec3 e_vec_initial = vec3_scale(vec3_sub(vec3_scale(vel, r), vec3_scale(pos, vec3_magnitude(vel) / mu)), 1.0 / mu);
double e_initial = vec3_magnitude(e_vec_initial);
INFO("Initial state:");
INFO(" e = " << e_initial);
INFO(" e_vec = (" << e_vec_initial.x << ", " << e_vec_initial.y << ", " << e_vec_initial.z << ")");
INFO(" pos = (" << pos.x << ", " << pos.y << ", " << pos.z << ")");
INFO(" vel = (" << vel.x << ", " << vel.y << ", " << vel.z << ")");
// Apply a prograde burn at periapsis
Vec3 vel_dir = vec3_normalize(vel);
Vec3 delta_v = vec3_scale(vel_dir, 1000.0); // Large burn to flip e_vec
vel = vec3_add(vel, delta_v);
// Reconstruct orbital elements
OrbitalElements new_elements = cartesian_to_orbital_elements(pos, vel, parent_mass);
INFO("After prograde burn:");
INFO(" new omega = " << new_elements.argument_of_periapsis << " rad (" << new_elements.argument_of_periapsis * 180.0 / M_PI << " deg)");
INFO(" new e = " << new_elements.eccentricity);
// Get new eccentricity vector
Vec3 e_vec_new = vec3_scale(vec3_sub(vec3_scale(vel, r), vec3_scale(pos, vec3_magnitude(vel) / mu)), 1.0 / mu);
INFO(" new e_vec = (" << e_vec_new.x << ", " << e_vec_new.y << ", " << e_vec_new.z << ")");
// For zero-inclination orbit, omega is computed from the eccentricity vector
// (longitude of periapsis since ascending node is undefined)
// The key constraint is that omega should be in [0, 2π)
bool omega_in_range = (new_elements.argument_of_periapsis >= 0.0) &&
(new_elements.argument_of_periapsis < 2.0 * M_PI);
REQUIRE(omega_in_range);
}