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Titan2Tests.cs
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Titan2Tests.cs
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/*
* Copyright Lamont Granquist (lamont@scriptkiddie.org)
* Dual licensed under the MIT (MIT-LICENSE) license
* and GPLv2 (GPLv2-LICENSE) license or any later version.
*/
using System;
using AssertExtensions;
using MechJebLib.Core;
using MechJebLib.Primitives;
using MechJebLib.PVG;
using Xunit;
using static MechJebLib.Statics;
namespace MechJebLibTest.PVGTests
{
public class Titan2Tests
{
// this is a forced periapsis attachment problem, which chooses an ApR such that it winds up burning the whole rocket.
[Fact]
public void FlightPathAngle4AllRocket()
{
var r0 = new V3(5593203.65707947, 0, 3050526.81522927);
var v0 = new V3(0, 407.862893197274, 0);
double t0 = 0;
double PeR = 6.371e+6 + 185e+3;
double ApR = 6.371e+6 + 4306022;
double rbody = 6.371e+6;
double incT = Deg2Rad(28.608);
double mu = 3.986004418e+14;
Ascent ascent = Ascent.Builder()
.AddStageUsingThrust(153180, 2194400, 296, 156, 4, 4)
.AddStageUsingThrust(31980, 443700, 315, 180, 3, 3, true)
.Initial(r0, v0, r0.normalized, t0, mu, rbody)
.SetTarget(PeR, ApR, PeR, incT, Deg2Rad(270), 0, true, false)
.Build();
ascent.Run();
Optimizer pvg = ascent.GetOptimizer() ?? throw new Exception("null optimzer");
using Solution solution = pvg.GetSolution();
(V3 rf, V3 vf) = solution.TerminalStateVectors();
(double smaf, double eccf, double incf, double lanf, double argpf, double tanof, _) =
Maths.KeplerianFromStateVectors(mu, rf, vf);
solution.R(0).ShouldEqual(r0);
solution.V(0).ShouldEqual(v0);
solution.M(0).ShouldEqual(153180);
solution.Constant(0).ShouldBeZero(1e-7);
solution.Constant(solution.Tmax).ShouldBeZero(1e-7);
solution.Vgo(0).ShouldEqual(9327.0948576056289, 1e-7);
solution.Pv(0).ShouldEqual(new V3(0.24913591286181805, 0.23909088173239779, 0.13587844086293846), 1e-7);
pvg.Znorm.ShouldBeZero(1e-9);
smaf.ShouldEqual(8616511.1913318466, 1e-7);
eccf.ShouldEqual(0.23913520746130185, 1e-7);
incf.ShouldEqual(incT, 1e-7);
lanf.ShouldEqual(Deg2Rad(270), 1e-7);
argpf.ShouldEqual(1.7637313812499942, 1e-7);
ClampPi(tanof).ShouldBeZero(1e-7);
}
// this is FlightPathAngle4AllRocket but using free attachment.
[Fact]
public void Kepler3()
{
var r0 = new V3(5593203.65707947, 0, 3050526.81522927);
var v0 = new V3(0, 407.862893197274, 0);
double t0 = 0;
double PeR = 6.371e+6 + 185e+3;
double ApR = 6.371e+6 + 4306022;
;
double rbody = 6.371e+6;
double incT = Deg2Rad(28.608);
double mu = 3.986004418e+14;
Ascent ascent = Ascent.Builder()
.AddStageUsingThrust(157355.487476332, 2340000, 301.817977905273, 148.102380138703, 4, 4)
.AddStageUsingThrust(32758.6353093992, 456100.006103516, 315.000112652779, 178.63040653022, 3, 3, true)
.Initial(r0, v0, r0.normalized, t0, mu, rbody)
.SetTarget(PeR, ApR, PeR, incT, Deg2Rad(270), 0, false, false)
.Build();
ascent.Run();
Optimizer pvg = ascent.GetOptimizer() ?? throw new Exception("null optimzer");
Solution solution = pvg.GetSolution();
(V3 rf, V3 vf) = solution.TerminalStateVectors();
(double smaf, double eccf, double incf, double lanf, double argpf, double tanof, _) =
Maths.KeplerianFromStateVectors(mu, rf, vf);
solution.R(0).ShouldEqual(r0);
solution.V(0).ShouldEqual(v0);
solution.M(0).ShouldEqual(157355.487476332);
solution.Constant(0).ShouldBeZero(1e-7);
solution.Constant(solution.Tmax).ShouldBeZero(1e-7);
solution.Vgo(0).ShouldEqual(9291.2315891261242, 1e-7);
solution.Pv(0).ShouldEqual(new V3(0.25236763236272763, 0.24870860524790397, 0.13764101483910374), 1e-7);
pvg.Znorm.ShouldBeZero(1e-9);
smaf.ShouldEqual(8616511.1913318466, 1e-7);
eccf.ShouldEqual(0.23913520746130185, 1e-7);
incf.ShouldEqual(incT, 1e-7);
lanf.ShouldEqual(Deg2Rad(270), 1e-7);
argpf.ShouldEqual(1.6667949762852059, 1e-7);
ClampPi(tanof).ShouldEqual(0.090826664012324976, 1e-7);
}
// extreme 1010 x 1012 and still get free attachment
[Fact]
public void Kepler3ExtremeElliptical()
{
var r0 = new V3(5593203.65707947, 0, 3050526.81522927);
var v0 = new V3(0, 407.862893197274, 0);
double t0 = 0;
double PeR = 6.371e+6 + 1.010e+6;
double ApR = 6.371e+6 + 1.012e+6;
double rbody = 6.371e+6;
double incT = Deg2Rad(28.608);
double mu = 3.986004418e+14;
Ascent ascent = Ascent.Builder()
.AddStageUsingThrust(157355.487476332, 2340000, 301.817977905273, 148.102380138703, 4, 4)
.AddStageUsingThrust(32758.6353093992, 456100.006103516, 315.000112652779, 178.63040653022, 3, 3, true)
.Initial(r0, v0, r0.normalized, t0, mu, rbody)
.SetTarget(PeR, ApR, PeR, incT, Deg2Rad(270), 0, false, false)
.Build();
ascent.Run();
Optimizer pvg = ascent.GetOptimizer() ?? throw new Exception("null optimzer");
Solution solution = pvg.GetSolution();
(V3 rf, V3 vf) = solution.TerminalStateVectors();
(double smaf, double eccf, double incf, double lanf, double argpf, double tanof, _) =
Maths.KeplerianFromStateVectors(mu, rf, vf);
solution.R(0).ShouldEqual(r0);
solution.V(0).ShouldEqual(v0);
solution.M(0).ShouldEqual(157355.487476332);
// the lower epsilon values below here probably indicate that the free attachment solution is breaking down
solution.Constant(0).ShouldBeZero(1e-3);
solution.Constant(solution.Tmax).ShouldBeZero(1e-3);
solution.Vgo(0).ShouldEqual(18968.729888080918, 1e-7);
solution.Pv(0).ShouldEqual(new V3(0.39420604314896607, 0.024122181832433174, 0.21558209101216347), 1e-7);
double aprf = Maths.ApoapsisFromKeplerian(smaf, eccf);
double perf = Maths.PeriapsisFromKeplerian(smaf, eccf);
perf.ShouldEqual(PeR, 1e-9);
aprf.ShouldEqual(ApR, 1e-9);
pvg.Znorm.ShouldBeZero(1e-5);
smaf.ShouldEqual(7381999.9997271635, 1e-5);
eccf.ShouldEqual(0.00013546395462809413, 1e-5);
incf.ShouldEqual(incT, 1e-5);
lanf.ShouldEqual(Deg2Rad(270), 1e-2);
argpf.ShouldEqual(1.5561731710314275, 1e-5);
tanof.ShouldEqual(0.036325746839258599, 1e-5);
}
// extreme 1130 x 1132 which breaks free attachment and falls back to periapsis
[Fact]
public void Kepler3MoreExtremerElliptical()
{
var r0 = new V3(5593203.65707947, 0, 3050526.81522927);
var v0 = new V3(0, 407.862893197274, 0);
double t0 = 0;
double PeR = 6.371e+6 + 1.130e+6;
double ApR = 6.371e+6 + 1.132e+6;
double rbody = 6.371e+6;
double incT = Deg2Rad(28.608);
double mu = 3.986004418e+14;
Ascent ascent = Ascent.Builder()
.AddStageUsingThrust(157355.487476332, 2340000, 301.817977905273, 148.102380138703, 4, 4)
.AddStageUsingThrust(32758.6353093992, 456100.006103516, 315.000112652779, 178.63040653022, 3, 3, true)
.Initial(r0, v0, r0.normalized, t0, mu, rbody)
.SetTarget(PeR, ApR, PeR, incT, Deg2Rad(270), 0, false, false)
.Build();
ascent.Run();
Optimizer pvg = ascent.GetOptimizer() ?? throw new Exception("null optimzer");
Solution solution = pvg.GetSolution();
(V3 rf, V3 vf) = solution.TerminalStateVectors();
(double smaf, double eccf, double incf, double lanf, double argpf, double tanof, _) =
Maths.KeplerianFromStateVectors(mu, rf, vf);
solution.R(0).ShouldEqual(r0);
solution.V(0).ShouldEqual(v0);
solution.M(0).ShouldEqual(157355.487476332);
solution.Constant(0).ShouldBeZero(1e-7);
solution.Constant(solution.Tmax).ShouldBeZero(1e-7);
// this is 0.12 seconds before tau with an 18 kg final mass
solution.Vgo(0).ShouldEqual(27198.792190399912, 1e-7);
solution.Pv(0).ShouldEqual(new V3(0.42013374453123059, 0.013974700407340215, 0.22914045811295167), 1e-7);
double aprf = Maths.ApoapsisFromKeplerian(smaf, eccf);
double perf = Maths.PeriapsisFromKeplerian(smaf, eccf);
perf.ShouldEqual(PeR, 1e-9);
aprf.ShouldEqual(ApR, 1e-9);
pvg.Znorm.ShouldBeZero(1e-7);
smaf.ShouldEqual(7502000.0002534958, 1e-7);
eccf.ShouldEqual(0.0001332978218926981, 1e-7);
incf.ShouldEqual(incT, 1e-7);
lanf.ShouldEqual(Deg2Rad(270), 1e-7);
argpf.ShouldEqual(1.6027749993714844, 1e-7);
tanof.ShouldEqual(0.00011182292330591537, 1e-7);
}
[Fact]
public void CircularTest()
{
var r0 = new V3(5593203.65707947, 0, 3050526.81522927);
var v0 = new V3(0, 407.862893197274, 0);
double t0 = 0;
double PeR = 6.371e+6 + 185e+3;
double ApR = 6.371e+6 + 185e+3;
double rbody = 6.371e+6;
double incT = Deg2Rad(28.608);
double mu = 3.986004418e+14;
Ascent ascent = Ascent.Builder()
.AddStageUsingThrust(157355.487476332, 2340000, 301.817977905273, 148.102380138703, 4, 4)
.AddStageUsingThrust(32758.6353093992, 456100.006103516, 315.000112652779, 178.63040653022, 3, 3, true)
.Initial(r0, v0, r0.normalized, t0, mu, rbody)
.SetTarget(PeR, ApR, PeR, incT, Deg2Rad(270), 0, false, false)
.Build();
ascent.Run();
Optimizer pvg = ascent.GetOptimizer() ?? throw new Exception("null optimzer");
Solution solution = pvg.GetSolution();
(V3 rf, V3 vf) = solution.TerminalStateVectors();
(double smaf, double eccf, double incf, double lanf, double argpf, double tanof, _) =
Maths.KeplerianFromStateVectors(mu, rf, vf);
solution.R(0).ShouldEqual(r0);
solution.V(0).ShouldEqual(v0);
solution.M(0).ShouldEqual(157355.487476332);
solution.Constant(0).ShouldBeZero(1e-4);
solution.Constant(solution.Tmax).ShouldBeZero(1e-4);
solution.Vgo(0).ShouldEqual(8498.6702629355023, 1e-7);
solution.Pv(0).ShouldEqual(new V3(0.24008912999871768, 0.21525232653820714, 0.1309443327389036), 1e-7);
double aprf = Maths.ApoapsisFromKeplerian(smaf, eccf);
double perf = Maths.PeriapsisFromKeplerian(smaf, eccf);
perf.ShouldEqual(PeR, 1e-6);
aprf.ShouldEqual(ApR, 1e-6);
pvg.Znorm.ShouldBeZero(1e-5);
smaf.ShouldEqual(6556000, 1e-6);
eccf.ShouldEqual(0, 1e-6);
incf.ShouldEqual(incT, 1e-6);
lanf.ShouldEqual(Deg2Rad(270), 1e-4);
}
}
}