private void TestRV(OrbitData od, GameObject planet, NBody starNbody, float orbitRadius)
{
GameObject testPlanet = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 1f, orbitRadius);
OrbitUniversal orbitU = testPlanet.GetComponent <OrbitUniversal>();
// Run init explicitly to update transform details
orbitU.InitFromOrbitData(od, 0);
// Awkward but previously could not add a new object to GE when it is stopped, so re-add all three
// Leave as is, since it works!
GravityEngine ge = GravityEngine.Instance();
ge.Clear();
ge.AddBody(starNbody.gameObject);
ge.AddBody(planet);
ge.AddBody(testPlanet);
ge.Setup();
ge.LogDump();
Vector3 r_od = ge.GetPhysicsPosition(testPlanet.GetComponent <NBody>());
Vector3 v_od = ge.GetVelocity(testPlanet);
Vector3 r_i = ge.GetPhysicsPosition(planet.GetComponent <NBody>());
Vector3 v_i = ge.GetVelocity(planet);
Debug.Log(" r_i=" + r_i + " r_od=" + r_od + " delta=" + Vector3.Distance(r_i, r_od));
Debug.Log(" v_i=" + v_i + " v_od=" + v_od + " delta=" + Vector3.Distance(v_i, v_od));
Assert.IsTrue(GEUnit.FloatEqual(Vector3.Distance(r_i, r_od), 0f, 1E-2));
Assert.IsTrue(GEUnit.FloatEqual(Vector3.Distance(v_i, v_od), 0f, 1E-2));
}
// Check eccentricity and inclination
public void RVtoCOEtoRV()
{
GameObject star = TestSetupUtils.CreateNBody(10, new Vector3(0, 0, 0));
TestSetupUtils.SetupGravityEngine(star, null);
NBody starBody = star.GetComponent <NBody>();
RVpair[] rvp =
{
new RVpair(10, 0, 0, 0, 1, 0),
new RVpair(10, 0, 0, 0, 10, 0),
new RVpair(10, 0, 0, 0, -1, 0),
new RVpair(10, 0, 0, 0, -10, 0),
new RVpair(-10, 10, 0, -4, 3, 0),
new RVpair(-10, 10, 0, 4, -3, 0)
};
for (int i = 0; i < rvp.Length; i++)
{
OrbitUtils.OrbitElements oe = OrbitUtils.RVtoCOE(rvp[i].r, rvp[i].v, starBody, false);
Vector3d r1 = new Vector3d();
Vector3d v1 = new Vector3d();
OrbitUtils.COEtoRV(oe, starBody, ref r1, ref v1, false);
Debug.LogFormat("i={0} r_in={1} r_out={2}\n v_in={3} v_out={4}\n oe: {5}",
i, rvp[i].r, r1, rvp[i].v, v1, oe);
Assert.IsTrue(GEUnit.Vec3dEqual(rvp[i].r, r1, small));
Assert.IsTrue(GEUnit.Vec3dEqual(rvp[i].v, v1, small));
}
}
public void PositionForRadius()
{
const float mass = 1000f;
GameObject star = TestSetupUtils.CreateNBody(mass, new Vector3(0, 0, 0));
NBody starNbody = star.GetComponent <NBody>();
const float orbitRadius = 10f;
GameObject planet = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 1f, orbitRadius);
OrbitUniversal orbitU = planet.GetComponent <OrbitUniversal>();
orbitU.inclination = 5;
orbitU.SetMajorAxisInspector(orbitRadius);
float r = 10.0f;
float[] eccValues = { 0f, 0.1f, 0.9f, 1.1f };
foreach (float ecc in eccValues)
{
Debug.LogFormat("======= ecc={0} =======", ecc);
orbitU.eccentricity = ecc;
orbitU.SetMajorAxisInspector(orbitRadius); // updates p
TestSetupUtils.SetupGravityEngine(star, planet);
Vector3[] positions = orbitU.GetPositionsForRadius(r, new Vector3(0, 0, 0));
Debug.LogFormat("pos[0]={0} pos[1]={1}", positions[0], positions[1]);
foreach (Vector3 p in positions)
{
Debug.LogFormat("Position error={0}", Mathf.Abs(p.magnitude - r));
Assert.IsTrue(GEUnit.FloatEqual(p.magnitude, r, 1E-2));
}
}
}
public void KeplerVsTimeOfFlight()
{
// Need to make sure TOF < 1 period
const float mass = 100f;
GameObject star = TestSetupUtils.CreateNBody(mass, new Vector3(0, 0, 0));
NBody starNbody = star.GetComponent <NBody>();
const float orbitRadius = 10f;
GameObject planet = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 1f, orbitRadius);
OrbitUniversal orbitU = planet.GetComponent <OrbitUniversal>();
// Parabola (ecc=1.0 fails, need to investigate)
float[] ecc_values = { 0.0f, 0.1f, 0.5f, 0.9f, 1.2f, 1.5f };
foreach (float ecc in ecc_values)
{
Debug.LogFormat("======= ecc={0} =======", ecc);
orbitU.eccentricity = ecc;
orbitU.p = 10f;
orbitU.evolveMode = OrbitUniversal.EvolveMode.KEPLERS_EQN;
// Evolve to position r1
double time = 5.0;
TestSetupUtils.SetupGravityEngine(star, planet);
double[] r1 = new double[] { 0, 0, 0 };
// orbitU.PreEvolve(pscale, mscale);
// Ugh. Need to do this before call evolve, since it caches the value.
Vector3d r0_vec = GravityEngine.Instance().GetPositionDoubleV3(planet.GetComponent <NBody>());
orbitU.Evolve(time, ref r1);
Vector3d r1_vec = new Vector3d(ref r1);
// check time to r1
double time_test = orbitU.TimeOfFlight(r0_vec, r1_vec);
Debug.LogFormat("check r0={0} to r1={1} p ={2} after t={3} TOF => {4}",
r0_vec, r1_vec, orbitU.p, time, time_test);
Assert.IsTrue(GEUnit.DoubleEqual(time, time_test, 1E-4));
}
}
public void OmegaUCircleInclination()
{
const float mass = 1000f;
GameObject star = TestSetupUtils.CreateNBody(mass, new Vector3(0, 0, 0));
NBody starNbody = star.GetComponent <NBody>();
const float orbitRadius = 10f;
GameObject planet = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 1f, orbitRadius);
OrbitUniversal orbitU = planet.GetComponent <OrbitUniversal>();
orbitU.eccentricity = 0.0f;
orbitU.inclination = 5;
orbitU.SetMajorAxisInspector(orbitRadius);
// Try some values of om
float[] omegaValues = { 0f, 30f, 45f, 60f, 90f, 135f, 180f, 210f, 320f };
foreach (float omega in omegaValues)
{
orbitU.omega_uc = omega;
TestSetupUtils.SetupGravityEngine(star, planet);
OrbitData od = new OrbitData();
od.SetOrbitForVelocity(planet.GetComponent <NBody>(), star.GetComponent <NBody>());
Debug.Log("Omega = " + omega + " od.omega_lc=" + od.omega_lc + " od:" + od.LogString());
Assert.IsTrue(GEUnit.FloatEqual(omega, od.omega_uc, 0.1));
}
}
private void DoTestForPhase(double fromPhase, double toPhase)
{
const float mass = 1000f;
const bool reverse = false;
GameObject star = TestSetupUtils.CreateNBody(mass, new Vector3(0, 0, 0));
NBody starNbody = star.GetComponent <NBody>();
float orbitRadius = 20f;
GameObject planet = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 0f, orbitRadius);
OrbitUniversal orbitU = planet.GetComponent <OrbitUniversal>();
orbitU.phase = fromPhase;
orbitU.SetMajorAxisInspector(orbitRadius);
orbitRadius = 30.0f;
GameObject planet2 = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 0f, orbitRadius);
OrbitUniversal orbitU2 = planet2.GetComponent <OrbitUniversal>();
orbitU2.phase = toPhase;
orbitU2.SetMajorAxisInspector(orbitRadius);
GravityEngine.Instance().UnitTestAwake();
GravityEngine.Instance().AddBody(star);
GravityEngine.Instance().AddBody(planet);
GravityEngine.Instance().AddBody(planet2);
GravityEngine.Instance().Setup();
Debug.Log("Find transfers");
OrbitData fromOrbit = new OrbitData(orbitU);
OrbitData toOrbit = new OrbitData(orbitU2);
LambertUniversal lambertU = new LambertUniversal(fromOrbit, toOrbit, true);
Assert.AreNotEqual(lambertU, null);
double time = 0.8f * lambertU.GetTMin();
lambertU.ComputeXfer(reverse, false, 0, time);
LambertBattin lambertB = new LambertBattin(fromOrbit, toOrbit);
int error = lambertB.ComputeXfer(reverse, false, 0, time);
Assert.AreEqual(error, 0);
Assert.AreNotEqual(lambertB, null);
Assert.AreNotEqual(lambertB.GetTransferVelocity(), null);
Debug.LogFormat("initial velocity {0} vs {1}", lambertU.GetTransferVelocity(), lambertB.GetTransferVelocity());
Debug.LogFormat("initial velocity mag {0} vs {1}",
lambertU.GetTransferVelocity().magnitude, lambertB.GetTransferVelocity().magnitude);
Debug.LogFormat("final velocity {0} vs {1}", lambertU.GetFinalVelocity(), lambertB.GetFinalVelocity());
Debug.LogFormat("final velocity mag {0} vs {1}",
lambertU.GetFinalVelocity().magnitude, lambertB.GetFinalVelocity().magnitude);
// best can do for 180 degree case is E-2 accuracy on the magnitude. Not sure why...seems too big
Assert.IsTrue(GEUnit.DoubleEqual(lambertU.GetTransferVelocity().magnitude,
lambertB.GetTransferVelocity().magnitude,
1E-2));
}
// Check eccentricity and inclination
public void EccentricityInclTest()
{
const float mass = 1000f;
GameObject star = TestSetupUtils.CreateNBody(mass, new Vector3(0, 0, 0));
NBody starNbody = star.GetComponent <NBody>();
const float orbitRadius = 10f;
GameObject planet = TestSetupUtils.CreatePlanetInOrbitUniversal(starNbody, 1f, orbitRadius);
OrbitUniversal orbitU = planet.GetComponent <OrbitUniversal>();
float eccentricity = 0.3f;
// MUST reset the scale after ecc is changed, since -> p
orbitU.eccentricity = eccentricity;
orbitU.SetMajorAxisInspector(orbitRadius);
TestSetupUtils.SetupGravityEngine(star, planet);
// Try some values of inclination and ecc
float[] eccValues = { 0f, .1f, .2f, 0.5f, 0.9f };
float[] inclinationValues = { 0f, 30f, 45f, 60f, 90f, 135f, 180f };
foreach (float inc in inclinationValues)
{
foreach (float ecc in eccValues)
{
Debug.Log("====EccentricityInclTest==== ecc=" + ecc + " incl = " + inc);
orbitU.inclination = inc;
orbitU.eccentricity = ecc;
orbitU.SetMajorAxisInspector(orbitRadius); // can only use for ellipses
TestSetupUtils.SetupGravityEngine(star, planet);
OrbitData od = new OrbitData();
od.SetOrbitForVelocity(planet.GetComponent <NBody>(), starNbody);
Debug.Log("TEST: incl = " + orbitU.inclination + " ecc=" + orbitU.eccentricity + " od:" + od.LogString());
Debug.LogFormat("Check ecc: {0} vs {1}", ecc, od.ecc);
Assert.IsTrue(GEUnit.FloatEqual(ecc, od.ecc, 1E-3));
float axis = (float)orbitU.GetMajorAxisInspector();
Debug.LogFormat("Check axis: {0} vs {1}", axis, od.a);
Assert.IsTrue(GEUnit.FloatEqual(axis, od.a, 1E-3));
Debug.LogFormat("Check incl: {0} vs {1}", inc, od.inclination);
Assert.IsTrue(GEUnit.FloatEqual(inc, od.inclination, 1E-3));
// TestRV(od, planet, starNbody, orbitRadius);
}
}
}