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#include <catch2/catch.hpp>
#include <glm/glm.hpp>
#include "../src/orbits.cpp"
// NOTE: using WithinAbs instead of Approx because:
// https://github.com/catchorg/Catch2/issues/1962
// https://github.com/catchorg/Catch2/issues/1507
using Catch::Matchers::WithinAbs;
TEST_CASE("orbit construction", "[orbits]")
{
}
// NOTE: example 4.6 in "Space Flight Dynamics" by Craig A. Kluever
TEST_CASE("orbit propagation", "[orbits]")
{
double a = 26564.5; // NOTE: semi-major axis in km
double e = 0.7411; // NOTE: eccentricity
double mu = 398601.68; // NOTE: gravitational parameter
double r = 6378; // NOTE: body radius in km
double initial_anom = 260 * M_PI / 180; // NOTE: radians
system_2body sys = systemInit(gravBodyInit(mu, r), orbitInit(a, e));
sys.time_step = 60 * 50; // NOTE: seconds
double E1 = getEccAnomFromTrueAnom(sys.ep.e, initial_anom);
REQUIRE_THAT(E1, WithinAbs(-0.8615, 1e-4));
double M1 = getMeanAnomFromEccAnom(E1, sys.ep.e);
REQUIRE_THAT(M1, WithinAbs(-0.2992, 1e-4));
double n = getMeanMotion(sys.body.mu, sys.ep.a);
REQUIRE_THAT(n, WithinAbs(0.00014582, 1e-8));
double M2 = getPropagatedMeanAnom(M1, n, sys.time_step);
REQUIRE_THAT(M2, WithinAbs(0.1383, 1e-5));
// TODO: could also test for the other trial values listed in table 4.1
double E2_1 = getInitialTrialValue(M2, sys.ep.e);
REQUIRE_THAT(E2_1, WithinAbs(0.315452, 1e-5));
double ecc_anom = getPropagatedEccAnomaly(sys, initial_anom);
REQUIRE_THAT(ecc_anom, WithinAbs(0.481518, 1e-5));
double true_anom = getPropagatedTrueAnomaly(sys, initial_anom);
REQUIRE_THAT(true_anom, WithinAbs(1.1339, 1e-4));
double r2 = orbitGetRadialDistance(sys.ep.e, sys.ep.p, true_anom);
REQUIRE_THAT(r2, WithinAbs(9116.1, 0.1));
glm::vec2 pos = polarToRect(true_anom, r2);
REQUIRE_THAT(pos.x, WithinAbs(3856.9, 0.1));
REQUIRE_THAT(pos.y, WithinAbs(8259.9, 0.1));
}