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FlightPathAngle4Reduced.cs
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FlightPathAngle4Reduced.cs
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/*
* Copyright Lamont Granquist, Sebastien Gaggini and the MechJeb contributors
* SPDX-License-Identifier: LicenseRef-PD-hp OR Unlicense OR CC0-1.0 OR 0BSD OR MIT-0 OR MIT OR LGPL-2.1+
*/
using System;
using MechJebLib.Primitives;
using MechJebLib.Utils;
using static MechJebLib.Utils.Statics;
#nullable enable
namespace MechJebLib.PVG.Terminal
{
/// <summary>
/// 4 Constraint terminal conditions with fixed attachment for the minimum propellant / maximum mass problem with
/// reduced transversality conditions.
/// Pan, Binfeng, Zheng Chen, Ping Lu, and Bo Gao. “Reduced Transversality Conditions in Optimal Space Trajectories.”
/// Journal of Guidance, Control, and Dynamics 36, no. 5 (September 2013): 1289–1300. https://doi.org/10.2514/1.60181.
/// </summary>
public readonly struct FlightPathAngle4Reduced : IPVGTerminal
{
private readonly double _gammaT;
private readonly double _rT;
private readonly double _vT;
private readonly double _incT;
public FlightPathAngle4Reduced(double gammaT, double rT, double vT, double incT)
{
Check.Finite(gammaT);
Check.PositiveFinite(rT);
Check.PositiveFinite(vT);
Check.Finite(incT);
_gammaT = gammaT;
_rT = rT;
_vT = vT;
_incT = Math.Abs(ClampPi(incT));
}
public IPVGTerminal Rescale(Scale scale)
{
return new FlightPathAngle4Reduced(_gammaT, _rT / scale.LengthScale, _vT / scale.VelocityScale, _incT);
}
public (double a, double b, double c, double d, double e, double f) TerminalConstraints(OutputLayout yf)
{
var n = new V3(0, 0, 1);
var hf = V3.Cross(yf.R, yf.V);
double con1 = (yf.R.sqrMagnitude - _rT * _rT) * 0.5;
double con2 = (yf.V.sqrMagnitude - _vT * _vT) * 0.5;
double con3 = V3.Dot(n, hf.normalized) - Math.Cos(_incT);
double con4 = V3.Dot(yf.R.normalized, yf.V.normalized) - Math.Sin(_gammaT);
double tv1 = V3.Dot(V3.Cross(yf.PR, yf.R) + V3.Cross(yf.PV, yf.V), hf); // free ArgP
double tv2 = V3.Dot(V3.Cross(yf.PR, yf.R) + V3.Cross(yf.PV, yf.V), n); // free LAN
return (con1, con2, con3, con4, tv1, tv2);
}
}
}