Contents
Pluto planar orbit optimization
Calculate the optimal thrust to achieve a planar trajectory to the desired final orbit, assuming a certain specific impulse (exhaust velocity) and specific power for the engine.
The fuel structural mass fraction is 0.02. The demo delivers 1000 kg to Pluto in 3 years.
EXAMPLES: Pluto mission in 5.2 years, with 1000 kg payload and 10800 kg total dry mass, 36,700 kg fuel, with 1 MW fission reactor. This corresponds to a specific power of about 134 W/kg with a payload of 2646. Total efficiency to thrust is 15.8% and uE is 40 km/s. Total thrust is 8 N. Assumed distance to Pluto is 30.5 AU.
"Standard" mission: 1000 kg payload, 1000 W/kg specific mass, efficiency of 0.4, uE of 100 km/s
%-------------------------------------------------------------------------- % Copyright 2016 Princeton Satellite Systems % All rights reserved. %--------------------------------------------------------------------------
Controls
repeatPrevious = false;
YEAR = 365.25*86400;
AU = Constant('au');
Parameters
nYears = 4.5; payload = 1000; uExhaust = 100; % km/s sigma = 740; % W/kg eta = 0.3; % Total fusion power to thrust
Comparison
Compare the solution to a straight line solution with the same parameters. This will print the report and create the plot.
d = Straight2DStructure; d.dF = AU*29.6; d.tF = nYears*YEAR; d.uE = uExhaust; d.sigma = sigma; d.eta = eta; [thrust,data] = ComputeThrust( d ); EngineReport(thrust,data); SimulateStraightLineTrajectory(data);
Report:
---- INPUTS ---- -- --
Payload 1000 kg
Desired distance 29.60 AU
Travel time 4.50 years
---- ENGINE ---- -- --
Thrust Efficiency 0.30
Exhaust velocity 100 km/s
Specific Power 0.74 kW/kg
Fuel Tank Fraction 0.05
---- OUTPUTS ---- -- --
Payload Mass Fraction 0.12 mP/m0
Payload Power Fraction 0.69 kW/kg
Delta-V 129.02 km/s
---- PAYLOAD DEPENDENT ---- -- --
Thrust 4.12 N
Power 0.69 MW
Total Mass 8063.45 kg
Mass Dry 2219.12 kg
Mass Engine 926.90 kg
Mass Fuel 5844.33 kg
Flow Rate 0.04 g/s
Calculate the optimal planar solution
Pluto's perihelion is 29.6 AU. For a launch in 2036 Pluto is closer to 33 AU distance.
d0 = PlanarHelioOptimal; d0.rF = AU*29.6; d0.tF = nYears*YEAR; d0.mP = payload; % payload mass (kg) d0.uE = uExhaust; % exhaust velocity, km/s d0.f = 0.05; % fuel structural fraction (tanks) % additional fields for optimization d0.sigma = sigma; % specific power, W/kg d0.eta = eta; % thrust efficiency d0.maxThrust = 50; % maximum thrust (N) d0.scale = [1;1e4;1e4]; d0.nPts = 50; % Evaluate if repeatPrevious [phi, thrust, t, data] = PlanarHelioOptimal( d0, 4000, 'iter-detailed', thrust0, phi0 ); else [phi, thrust, t, data] = PlanarHelioOptimal( d0 ); end phi0 = phi; thrust0 = thrust; SimulatePlanarHelioTrajectory( data.mD, data.mF, thrust, ... data.input.uE, data.input.r0, data.input.rF, data.input.mu, phi, t ); % Report StraightLineReport( data ); %-------------------------------------- % $Id: dfa97ffc7865400a40e8bdef3ed0e47606ba312d $
3.1367 0.89493 39.182 21.45 2.3874e-12
3.1367 0.89493 39.182 21.45 2.3874e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
0 103 6.383518e+03 1.219e+09 9.587e+02
1 212 4.530423e+03 1.010e+09 6.767e+01 1.501e+00
2.057 2.558 24.929 22.848 2.2027e-12
2 318 4.356461e+03 1.009e+09 4.093e+01 6.651e-01
1.9556 2.6634 24.52 22.853 1.5774e-12
3 424 4.314712e+03 1.003e+09 5.585e+01 4.523e-01
1.9313 2.6077 24.248 22.894 -2.1316e-13
4 529 4.296098e+03 9.942e+08 3.668e+01 5.565e-01
1.9204 2.4219 23.838 22.954 1.3785e-12
5 634 4.279948e+03 9.911e+08 2.876e+01 3.441e-01
1.911 2.3266 23.693 22.975 2.16e-12
6 739 4.258187e+03 9.901e+08 3.111e+01 2.622e-01
1.8984 2.2718 23.621 22.981 -2.5153e-12
7 843 4.229511e+03 9.856e+08 4.261e+01 6.520e-01
1.8816 2.0244 23.201 23.012 -4.0927e-12
8 948 4.241362e+03 9.738e+08 3.628e+01 7.183e-01
1.8886 1.6943 22.547 23.091 -3.1974e-12
9 1051 4.329942e+03 9.651e+08 2.283e+01 1.328e+00
1.9402 0.35139 20.792 23.149 1.9185e-12
10 1158 5.125024e+03 4.269e+08 6.331e+01 3.168e+00
2.4034 2.5224 4.6037 26.747 -1.3927e-12
11 1267 6.972403e+03 2.547e+08 7.269e+02 2.679e+00
3.4798 0.37306 5.4031 27.897 -1.62e-12
12 1372 6.972110e+03 2.544e+08 7.267e+02 1.311e-02
3.4796 0.37258 5.4032 27.899 3.439e-12
13 1486 6.965784e+03 1.522e+08 6.958e+02 1.498e+00
3.4759 -1.5114 5.1375 28.583 4.2064e-12
14 1591 6.906851e+03 1.438e+08 6.787e+02 2.067e-01
3.4416 -1.4162 5.1635 28.638 3.439e-12
15 1702 6.902101e+03 1.280e+08 6.463e+02 2.071e+00
3.4388 -1.4204 5.1816 28.744 2.5295e-12
16 1811 6.884007e+03 1.190e+08 6.324e+02 7.930e-01
3.4283 -2.1857 5.1804 28.805 5.3149e-12
17 1918 6.911667e+03 1.153e+08 6.408e+02 7.540e-01
3.4444 -2.2952 5.1877 28.829 -5.1159e-12
18 2026 6.910198e+03 3.790e+07 6.514e+02 1.044e+00
3.4435 -0.5837 5.2979 29.347 1.5064e-12
19 2140 6.880610e+03 2.542e+07 6.358e+02 9.242e-01
3.4263 -0.2783 5.481 29.43 3.5243e-12
20 2252 6.872125e+03 2.723e+06 6.334e+02 4.721e-01
3.4213 -0.048498 5.4888 29.582 -2.7569e-12
21 2365 6.837197e+03 2.001e+06 4.996e+02 3.111e-01
3.401 -0.0076888 5.4736 29.587 1.0232e-12
22 2475 6.836422e+03 1.523e+06 4.594e+02 2.268e-01
3.4005 -0.011809 5.4744 29.59 2.2737e-12
23 2584 6.836810e+03 1.460e+06 4.581e+01 1.041e-01
3.4008 -0.036437 5.4765 29.59 5.3149e-12
24 2693 6.835010e+03 1.042e+06 4.411e+01 4.217e-01
3.3997 0.017672 5.4353 29.607 -1.7906e-12
25 2804 6.821868e+03 5.582e+05 3.891e+01 7.648e-02
3.3921 0.024959 5.4333 29.596 -2.7001e-12
26 2912 6.828179e+03 2.678e+05 3.611e+01 9.934e-02
3.3957 0.0024421 5.474 29.598 -2.1316e-12
27 3021 6.833410e+03 1.300e+05 3.943e+01 2.137e-01
3.3988 -0.0002884 5.4744 29.599 2.5864e-12
28 3126 6.831684e+03 2.806e+04 3.863e+01 8.795e-02
3.3978 0.0048794 5.4737 29.6 2.4158e-12
29 3243 6.829764e+03 2.330e+04 3.730e+01 5.617e-02
3.3967 -0.00010041 5.4745 29.6 1.8474e-12
30 3352 6.828696e+03 9.013e+03 2.858e+01 5.565e-02
3.396 -4.438e-05 5.4745 29.6 -3.2117e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
31 3467 6.828906e+03 4.452e+03 2.859e+01 1.031e-01
3.3962 3.5358e-06 5.4745 29.6 7.9581e-13
32 3582 6.828361e+03 1.720e+03 2.762e+01 2.749e-02
3.3958 -7.0243e-06 5.4745 29.6 -5.0306e-12
33 3691 6.828373e+03 6.128e+02 2.761e+01 5.037e-02
3.3959 6.9837e-07 5.4745 29.6 1.6769e-12
34 3806 6.828233e+03 9.868e+01 2.761e+01 1.356e-02
3.3958 -3.3038e-07 5.4745 29.6 -5.9401e-12
35 3915 6.828203e+03 2.373e+01 2.761e+01 2.337e-02
3.3958 2.9025e-07 5.4745 29.6 5.9686e-13
36 4030 6.828170e+03 4.312e+00 2.761e+01 6.582e-03
3.3957 -1.8835e-08 5.4745 29.6 5.0306e-12
37 4139 6.828153e+03 2.385e+00 2.761e+01 1.025e-02
3.3957 1.1354e-08 5.4745 29.6 -1.2221e-12
38 4252 6.828137e+03 8.284e-01 2.761e+01 5.545e-03
3.3957 4.3349e-10 5.4745 29.6 2.8422e-14
39 4361 6.828116e+03 3.450e-01 2.761e+01 5.225e-03
3.3957 6.0635e-10 5.4745 29.6 1.5064e-12
40 4476 6.828107e+03 2.142e-01 2.761e+01 2.842e-03
3.3957 3.5163e-12 5.4745 29.6 -3.1264e-13
41 4585 6.828094e+03 5.631e-02 2.761e+01 2.688e-03
3.3957 1.0785e-09 5.4745 29.6 5.3149e-12
42 4696 6.828081e+03 2.732e-02 2.761e+01 3.140e-03
3.3957 2.3918e-10 5.4745 29.6 -4.0927e-12
43 4809 6.828074e+03 2.567e-02 2.761e+01 1.856e-03
3.3957 1.1005e-10 5.4745 29.6 -1.4211e-13
44 4918 6.828059e+03 1.456e-03 2.761e+01 7.649e-04
3.3957 3.2624e-11 5.4745 29.6 2.8422e-14
45 5029 6.828015e+03 3.135e-02 2.761e+01 4.393e-03
3.3956 1.649e-09 5.4745 29.6 5.9117e-12
46 5152 6.828010e+03 1.039e-02 2.761e+01 1.096e-03
3.3956 7.82e-11 5.4745 29.6 4.4054e-12
47 5263 6.828006e+03 4.837e-03 2.761e+01 9.691e-04
3.3956 4.326e-11 5.4745 29.6 3.6664e-12
48 5372 6.828000e+03 1.049e-02 2.760e+01 1.516e-03
3.3956 1.2958e-10 5.4745 29.6 1.4779e-12
49 5481 6.827994e+03 7.629e-05 2.760e+01 2.725e-04
3.3956 1.6174e-12 5.4745 29.6 -5.1159e-12
50 5590 6.827953e+03 6.712e-03 2.760e+01 8.227e-04
3.3956 1.3777e-10 5.4745 29.6 5.0306e-12
51 5703 6.827880e+03 6.994e-02 2.760e+01 2.005e-03
3.3956 1.3861e-09 5.4745 29.6 -1.4779e-12
52 5820 6.827871e+03 1.493e-02 2.760e+01 1.786e-03
3.3956 6.5778e-11 5.4745 29.6 -4.8317e-13
53 5929 6.827853e+03 4.291e-03 2.760e+01 1.528e-03
3.3955 1.7349e-10 5.4745 29.6 1.6769e-12
54 6046 6.827844e+03 4.357e-03 2.760e+01 1.298e-03
3.3955 2.3939e-11 5.4745 29.6 1.0232e-12
55 6157 6.827815e+03 2.213e-02 2.760e+01 1.458e-03
3.3955 4.9339e-10 5.4745 29.6 -5.9686e-13
56 6270 6.827802e+03 3.282e-02 2.760e+01 2.395e-03
3.3955 4.3921e-11 5.4745 29.6 -1.5064e-12
57 6379 6.827788e+03 1.297e-02 2.760e+01 2.793e-03
3.3955 1.6198e-09 5.4745 29.6 -2.3874e-12
58 6496 6.827782e+03 1.100e-02 2.760e+01 1.343e-03
3.3955 -4.0347e-11 5.4745 29.6 -4.1211e-12
59 6605 6.827768e+03 3.529e-04 2.760e+01 3.717e-04
3.3955 6.561e-12 5.4745 29.6 1.1369e-13
60 6716 6.827722e+03 2.373e-02 2.759e+01 1.344e-03
3.3955 4.861e-10 5.4745 29.6 3.2117e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
61 6833 6.827703e+03 2.634e-02 2.759e+01 2.689e-03
3.3955 2.9193e-10 5.4745 29.6 -3.4959e-12
62 6946 6.827693e+03 2.814e-02 2.759e+01 2.234e-03
3.3955 6.5296e-10 5.4745 29.6 1.4779e-12
63 7055 6.827682e+03 1.548e-03 2.759e+01 7.454e-04
3.3954 3.6436e-11 5.4745 29.6 4.4338e-12
64 7168 6.827664e+03 5.356e-03 2.759e+01 7.163e-04
3.3954 1.1394e-10 5.4745 29.6 -3.1264e-13
65 7283 6.827647e+03 6.538e-03 2.759e+01 9.588e-04
3.3954 1.3857e-10 5.4745 29.6 -5.9401e-12
66 7398 6.827633e+03 1.055e-02 2.759e+01 1.062e-03
3.3954 2.5721e-10 5.4745 29.6 3.6096e-12
67 7513 6.827620e+03 4.821e-03 2.759e+01 9.173e-04
3.3954 1.1097e-10 5.4745 29.6 4.8317e-13
68 7626 6.827598e+03 2.550e-02 2.759e+01 1.223e-03
3.3954 5.636e-10 5.4745 29.6 6.8212e-12
69 7735 6.827577e+03 3.436e-02 2.759e+01 2.343e-03
3.3954 1.1729e-09 5.4745 29.6 4.4054e-12
70 7848 6.827566e+03 1.121e-02 2.759e+01 2.067e-03
3.3954 6.6805e-10 5.4745 29.6 -1.5064e-12
71 7961 6.827546e+03 2.582e-02 2.759e+01 1.433e-03
3.3954 5.9571e-10 5.4745 29.6 -4.1211e-12
72 8072 6.827536e+03 7.375e-03 2.759e+01 1.114e-03
3.3954 2.2587e-10 5.4745 29.6 1.2506e-12
73 8185 6.827519e+03 5.535e-03 2.758e+01 6.310e-04
3.3954 1.1445e-10 5.4745 29.6 -2.8422e-14
74 8300 6.827503e+03 6.590e-03 2.758e+01 6.919e-04
3.3953 1.3885e-10 5.4745 29.6 4.2064e-12
75 8415 6.827489e+03 4.272e-03 2.758e+01 6.147e-04
3.3953 9.0551e-11 5.4745 29.6 4.1211e-12
76 8528 6.827465e+03 1.532e-02 2.758e+01 8.610e-04
3.3953 3.1602e-10 5.4745 29.6 -5.0306e-12
77 8643 6.827444e+03 3.155e-02 2.758e+01 1.397e-03
3.3953 7.3509e-10 5.4745 29.6 -4.2064e-12
78 8754 6.827433e+03 7.919e-03 2.758e+01 1.087e-03
3.3953 2.2242e-10 5.4745 29.6 -2.1316e-12
79 8867 6.827414e+03 6.108e-03 2.758e+01 6.319e-04
3.3953 1.2728e-10 5.4745 29.6 -2.7001e-12
80 8982 6.827397e+03 6.888e-03 2.758e+01 6.817e-04
3.3953 1.4267e-10 5.4745 29.6 2.8422e-14
81 9095 6.827368e+03 3.553e-02 2.758e+01 1.199e-03
3.3953 7.5805e-10 5.4745 29.6 1.2221e-12
82 9206 6.827353e+03 1.828e-02 2.758e+01 1.333e-03
3.3953 4.6628e-10 5.4745 29.6 -1.7053e-12
83 9317 6.827338e+03 1.035e-02 2.758e+01 9.437e-04
3.3952 2.4366e-10 5.4745 29.6 -5.9117e-12
84 9430 6.827312e+03 3.464e-02 2.758e+01 1.210e-03
3.3952 7.1942e-10 5.4745 29.6 -2.8422e-14
85 9541 6.827299e+03 9.945e-03 2.758e+01 1.112e-03
3.3952 2.8081e-10 5.4745 29.6 -2.3022e-12
86 9654 6.827276e+03 1.921e-02 2.757e+01 9.616e-04
3.3952 3.9523e-10 5.4745 29.6 4.4054e-12
87 9765 6.827252e+03 3.698e-02 2.757e+01 1.427e-03
3.3952 8.788e-10 5.4745 29.6 -1.6769e-12
88 9876 6.827240e+03 8.842e-03 2.757e+01 1.048e-03
3.3952 2.2566e-10 5.4745 29.6 2.7001e-12
89 9987 6.827198e+03 3.899e-02 2.757e+01 1.133e-03
3.3952 8.121e-10 5.4745 29.6 -3.2117e-12
90 10100 6.827178e+03 3.888e-02 2.757e+01 1.514e-03
3.3952 8.8424e-10 5.4745 29.6 5.9401e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
91 10211 6.827157e+03 3.653e-02 2.757e+01 1.710e-03
3.3951 1.0638e-09 5.4745 29.6 -2.7569e-12
92 10322 6.827136e+03 5.029e-02 2.757e+01 1.883e-03
3.3951 1.2976e-09 5.4745 29.6 4.4054e-12
93 10431 6.827115e+03 3.667e-02 2.757e+01 2.028e-03
3.3951 1.397e-09 5.4745 29.6 1.4211e-13
94 10542 6.827094e+03 5.365e-02 2.757e+01 2.130e-03
3.3951 1.5755e-09 5.4745 29.6 3.0411e-12
95 10651 6.827073e+03 3.154e-02 2.757e+01 2.197e-03
3.3951 1.5649e-09 5.4745 29.6 3.6096e-12
96 10764 6.827061e+03 6.685e-03 2.756e+01 1.112e-03
3.3951 2.1279e-10 5.4745 29.6 -4.2064e-12
97 10873 6.826983e+03 4.040e-02 2.756e+01 1.324e-03
3.395 8.3813e-10 5.4745 29.6 3.2969e-12
98 10987 6.826912e+03 3.521e-02 2.756e+01 1.220e-03
3.395 7.1832e-10 5.4745 29.6 -3.6096e-12
99 11104 6.826880e+03 1.422e-02 2.756e+01 8.310e-04
3.395 3.0461e-10 5.4745 29.6 -3.1264e-13
100 11219 6.826853e+03 2.370e-02 2.756e+01 9.977e-04
3.395 4.6914e-10 5.4745 29.6 4.1211e-12
101 11330 6.826825e+03 2.905e-02 2.755e+01 1.199e-03
3.3949 6.7852e-10 5.4745 29.6 1.0516e-12
102 11441 6.826797e+03 4.990e-02 2.755e+01 1.419e-03
3.3949 1.0168e-09 5.4745 29.6 1.8474e-12
103 11550 6.826769e+03 4.856e-02 2.755e+01 1.666e-03
3.3949 1.3142e-09 5.4745 29.6 -5.9401e-12
104 11663 6.826754e+03 1.044e-02 2.755e+01 9.526e-04
3.3949 2.2782e-10 5.4745 29.6 -4.4054e-12
105 11772 6.826652e+03 1.103e-01 2.755e+01 1.784e-03
3.3948 2.2923e-09 5.4745 29.6 1.5064e-12
106 11883 6.826600e+03 1.457e-01 2.754e+01 1.818e-03
3.3948 2.9028e-09 5.4745 29.6 -1.2221e-12
107 11994 6.826575e+03 3.538e-02 2.754e+01 2.115e-03
3.3948 1.7028e-09 5.4745 29.6 2.3022e-12
108 12105 6.826548e+03 5.843e-02 2.754e+01 1.663e-03
3.3948 1.2822e-09 5.4745 29.6 -1.9327e-12
109 12214 6.826521e+03 3.213e-02 2.754e+01 1.348e-03
3.3948 8.1696e-10 5.4745 29.6 1.3927e-12
110 12325 6.826494e+03 2.802e-02 2.754e+01 1.099e-03
3.3948 5.689e-10 5.4745 29.6 4.2348e-12
111 12436 6.826467e+03 1.645e-02 2.754e+01 9.156e-04
3.3947 3.649e-10 5.4745 29.6 -1.7906e-12
112 12551 6.826443e+03 8.242e-03 2.754e+01 6.724e-04
3.3947 1.646e-10 5.4745 29.6 9.0949e-13
113 12664 6.826400e+03 1.731e-02 2.754e+01 8.868e-04
3.3947 3.6098e-10 5.4745 29.6 0
114 12779 6.826362e+03 2.676e-02 2.753e+01 9.908e-04
3.3947 5.3416e-10 5.4745 29.6 -6.8212e-12
115 12894 6.826329e+03 2.596e-02 2.753e+01 1.049e-03
3.3947 5.698e-10 5.4745 29.6 4.4054e-12
116 13009 6.826299e+03 1.997e-02 2.753e+01 9.238e-04
3.3946 4.0225e-10 5.4745 29.6 -5.0022e-12
117 13122 6.826247e+03 6.162e-02 2.753e+01 1.350e-03
3.3946 1.3157e-09 5.4745 29.6 1.3358e-12
118 13233 6.826221e+03 2.717e-02 2.753e+01 1.116e-03
3.3946 5.6432e-10 5.4745 29.6 6.8496e-12
119 13342 6.826168e+03 6.207e-02 2.752e+01 1.351e-03
3.3946 1.3217e-09 5.4745 29.6 -1.1369e-13
120 13455 6.826141e+03 2.569e-02 2.752e+01 1.079e-03
3.3946 5.3222e-10 5.4745 29.6 5.3149e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
121 13568 6.826093e+03 3.663e-02 2.752e+01 1.128e-03
3.3945 7.7236e-10 5.4745 29.6 -1.4211e-13
122 13683 6.826052e+03 5.300e-02 2.752e+01 1.279e-03
3.3945 1.0732e-09 5.4745 29.6 1.6769e-12
123 13794 6.826009e+03 6.411e-02 2.752e+01 1.465e-03
3.3945 1.444e-09 5.4745 29.6 -3.2969e-12
124 13905 6.825967e+03 9.381e-02 2.751e+01 1.648e-03
3.3944 1.9515e-09 5.4745 29.6 -1.7906e-12
125 14014 6.825924e+03 9.800e-02 2.751e+01 1.841e-03
3.3944 2.3865e-09 5.4745 29.6 2.7001e-12
126 14125 6.825881e+03 1.365e-01 2.751e+01 2.004e-03
3.3944 2.9637e-09 5.4745 29.6 1.4211e-13
127 14234 6.825837e+03 1.235e-01 2.751e+01 2.151e-03
3.3944 3.2742e-09 5.4745 29.6 7.6739e-13
128 14345 6.825793e+03 1.654e-01 2.751e+01 2.245e-03
3.3943 3.7373e-09 5.4745 29.6 -1.2221e-12
129 14454 6.825749e+03 1.350e-01 2.750e+01 2.309e-03
3.3943 3.7793e-09 5.4745 29.6 5.0306e-12
130 14565 6.825704e+03 1.749e-01 2.750e+01 2.315e-03
3.3943 4.0178e-09 5.4745 29.6 1.1369e-13
131 14674 6.825659e+03 1.375e-01 2.750e+01 2.293e-03
3.3943 3.7991e-09 5.4745 29.6 4.4054e-12
132 14785 6.825613e+03 1.668e-01 2.750e+01 2.221e-03
3.3942 3.7734e-09 5.4745 29.6 -1.8474e-12
133 14894 6.825566e+03 1.303e-01 2.750e+01 2.131e-03
3.3942 3.3771e-09 5.4745 29.6 -5.9686e-13
134 15005 6.825519e+03 1.441e-01 2.749e+01 2.006e-03
3.3942 3.1405e-09 5.4745 29.6 -2.4158e-12
135 15114 6.825471e+03 1.109e-01 2.749e+01 1.879e-03
3.3942 2.6701e-09 5.4745 29.6 1.5064e-12
136 15225 6.825423e+03 1.102e-01 2.749e+01 1.730e-03
3.3941 2.3273e-09 5.4745 29.6 1.6769e-12
137 15336 6.825374e+03 8.371e-02 2.749e+01 1.593e-03
3.3941 1.889e-09 5.4745 29.6 -1.3927e-12
138 15447 6.825324e+03 7.517e-02 2.748e+01 1.448e-03
3.3941 1.5479e-09 5.4745 29.6 7.9581e-13
139 15558 6.825273e+03 5.574e-02 2.748e+01 1.324e-03
3.394 1.2006e-09 5.4745 29.6 -1.0232e-12
140 15669 6.825223e+03 4.616e-02 2.748e+01 1.204e-03
3.394 9.3591e-10 5.4745 29.6 -3.6096e-12
141 15780 6.825171e+03 3.398e-02 2.748e+01 1.114e-03
3.394 7.1266e-10 5.4745 29.6 -8.8107e-13
142 15895 6.825125e+03 1.823e-02 2.747e+01 9.066e-04
3.394 3.6896e-10 5.4745 29.6 -4.4338e-12
143 16008 6.825045e+03 5.790e-02 2.747e+01 1.431e-03
3.3939 1.1999e-09 5.4745 29.6 -2.4158e-12
144 16123 6.824973e+03 6.553e-02 2.747e+01 1.399e-03
3.3939 1.3289e-09 5.4745 29.6 -2.7001e-12
145 16234 6.824901e+03 9.196e-02 2.746e+01 1.559e-03
3.3938 1.9316e-09 5.4745 29.6 2.3022e-12
146 16345 6.824827e+03 1.405e-01 2.746e+01 1.756e-03
3.3938 2.8595e-09 5.4745 29.6 -3.4959e-12
147 16454 6.824753e+03 1.877e-01 2.746e+01 2.016e-03
3.3937 4.1116e-09 5.4745 29.6 4.4054e-12
148 16565 6.824715e+03 3.454e-02 2.745e+01 1.147e-03
3.3937 7.2852e-10 5.4745 29.6 3.2117e-12
149 16678 6.824648e+03 2.359e-02 2.745e+01 1.123e-03
3.3937 4.8905e-10 5.4745 29.6 -8.8107e-13
150 16791 6.824530e+03 1.295e-01 2.744e+01 1.982e-03
3.3936 2.6708e-09 5.4745 29.6 -1.6769e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
151 16900 6.824408e+03 1.702e-01 2.744e+01 2.100e-03
3.3935 3.5265e-09 5.4745 29.6 1.7053e-12
152 17013 6.824347e+03 4.345e-02 2.743e+01 1.223e-03
3.3935 8.8218e-10 5.4745 29.6 1.9327e-12
153 17126 6.824237e+03 1.419e-01 2.743e+01 1.942e-03
3.3934 2.9392e-09 5.4745 29.6 -4.8317e-13
154 17235 6.824126e+03 2.470e-01 2.742e+01 2.191e-03
3.3934 5.0216e-09 5.4745 29.6 -5.0306e-12
155 17346 6.824069e+03 5.972e-02 2.742e+01 1.368e-03
3.3933 1.2877e-09 5.4745 29.6 7.9581e-13
156 17459 6.823969e+03 1.012e-01 2.741e+01 1.749e-03
3.3933 2.0682e-09 5.4745 29.6 -2.1316e-12
157 17570 6.823867e+03 1.218e-01 2.741e+01 1.835e-03
3.3932 2.5282e-09 5.4745 29.6 -1.9327e-12
158 17681 6.823763e+03 1.544e-01 2.740e+01 1.927e-03
3.3932 3.1451e-09 5.4745 29.6 1.6769e-12
159 17792 6.823658e+03 1.879e-01 2.740e+01 2.047e-03
3.3931 3.9232e-09 5.4745 29.6 1.0232e-12
160 17903 6.823550e+03 2.376e-01 2.739e+01 2.161e-03
3.393 4.8444e-09 5.4745 29.6 1.7906e-12
161 18012 6.823442e+03 2.732e-01 2.739e+01 2.289e-03
3.393 5.7806e-09 5.4745 29.6 -2.7001e-12
162 18121 6.823331e+03 3.262e-01 2.738e+01 2.385e-03
3.3929 6.6987e-09 5.4745 29.6 3.4959e-12
163 18230 6.823219e+03 3.441e-01 2.737e+01 2.475e-03
3.3928 7.3624e-09 5.4745 29.6 -3.3253e-12
164 18338 6.823105e+03 3.785e-01 2.737e+01 2.513e-03
3.3928 7.8114e-09 5.4745 29.6 -2.7001e-12
165 18446 6.822989e+03 3.654e-01 2.736e+01 2.535e-03
3.3927 7.8241e-09 5.4745 29.6 9.0949e-13
166 18556 6.822871e+03 3.685e-01 2.735e+01 2.505e-03
3.3926 7.5889e-09 5.4745 29.6 -5.0306e-12
167 18664 6.822751e+03 3.306e-01 2.735e+01 2.469e-03
3.3926 7.0088e-09 5.4745 29.6 -1.2221e-12
168 18774 6.822629e+03 3.087e-01 2.734e+01 2.401e-03
3.3925 6.3166e-09 5.4745 29.6 -1.5064e-12
169 18884 6.822505e+03 2.649e-01 2.733e+01 2.347e-03
3.3924 5.5387e-09 5.4745 29.6 5.9686e-13
170 18994 6.822379e+03 2.365e-01 2.732e+01 2.285e-03
3.3924 4.8324e-09 5.4745 29.6 2.3022e-12
171 19104 6.822250e+03 2.056e-01 2.732e+01 2.253e-03
3.3923 4.2715e-09 5.4745 29.6 -3.5243e-12
172 19214 6.822119e+03 1.883e-01 2.731e+01 2.226e-03
3.3922 3.8619e-09 5.4745 29.6 4.2633e-13
173 19324 6.821987e+03 1.746e-01 2.728e+01 2.227e-03
3.3921 3.6236e-09 5.4745 29.6 6.8212e-12
174 19434 6.821852e+03 1.704e-01 2.726e+01 2.235e-03
3.3921 3.5143e-09 5.4745 29.6 -2.7569e-12
175 19544 6.821714e+03 1.698e-01 2.723e+01 2.259e-03
3.392 3.5223e-09 5.4745 29.6 -3.1264e-13
176 19654 6.821575e+03 1.735e-01 2.721e+01 2.286e-03
3.3919 3.5917e-09 5.4745 29.6 -9.0949e-13
177 19764 6.821433e+03 1.789e-01 2.718e+01 2.319e-03
3.3918 3.7087e-09 5.4745 29.6 -2.3874e-12
178 19874 6.821289e+03 1.856e-01 2.716e+01 2.354e-03
3.3917 3.848e-09 5.4745 29.6 -5.0306e-12
179 19984 6.821142e+03 1.929e-01 2.713e+01 2.390e-03
3.3916 4.0038e-09 5.4745 29.6 2.2737e-12
180 20094 6.820994e+03 2.012e-01 2.710e+01 2.427e-03
3.3916 4.1718e-09 5.4745 29.6 2.7569e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
181 20204 6.820842e+03 2.094e-01 2.707e+01 2.465e-03
3.3915 4.3442e-09 5.4745 29.6 3.2117e-12
182 20314 6.820689e+03 2.180e-01 2.705e+01 2.504e-03
3.3914 4.5238e-09 5.4745 29.6 -1.0232e-12
183 20424 6.820532e+03 2.271e-01 2.702e+01 2.543e-03
3.3913 4.7115e-09 5.4745 29.6 7.9581e-13
184 20534 6.820374e+03 2.365e-01 2.699e+01 2.582e-03
3.3912 4.9105e-09 5.4745 29.6 -3.3253e-12
185 20644 6.820213e+03 2.461e-01 2.696e+01 2.622e-03
3.3911 5.1104e-09 5.4745 29.6 1.6769e-12
186 20754 6.820049e+03 2.563e-01 2.692e+01 2.663e-03
3.391 5.321e-09 5.4745 29.6 -2.4158e-12
187 20864 6.819882e+03 2.669e-01 2.689e+01 2.704e-03
3.3909 5.5401e-09 5.4745 29.6 2.5864e-12
188 20974 6.819713e+03 2.776e-01 2.686e+01 2.746e-03
3.3908 5.7657e-09 5.4745 29.6 -2.3022e-12
189 21084 6.819541e+03 2.887e-01 2.682e+01 2.788e-03
3.3907 5.9939e-09 5.4745 29.6 -5.0306e-12
190 21194 6.819367e+03 3.003e-01 2.679e+01 2.830e-03
3.3906 6.2365e-09 5.4745 29.6 2.7001e-12
191 21304 6.819189e+03 3.124e-01 2.675e+01 2.874e-03
3.3905 6.4896e-09 5.4745 29.6 3.5243e-12
192 21414 6.819009e+03 3.245e-01 2.672e+01 2.918e-03
3.3904 6.7452e-09 5.4745 29.6 1.2221e-12
193 21524 6.818826e+03 3.375e-01 2.668e+01 2.962e-03
3.3903 7.0117e-09 5.4745 29.6 -5.1159e-12
194 21634 6.818640e+03 3.507e-01 2.664e+01 3.007e-03
3.3902 7.2896e-09 5.4745 29.6 -2.2737e-12
195 21744 6.818452e+03 3.641e-01 2.660e+01 3.052e-03
3.3901 7.569e-09 5.4745 29.6 -3.2969e-12
196 21854 6.818260e+03 3.784e-01 2.656e+01 3.099e-03
3.39 7.8689e-09 5.4745 29.6 -8.8107e-13
197 21964 6.818065e+03 3.929e-01 2.652e+01 3.145e-03
3.3898 8.169e-09 5.4745 29.6 4.4054e-12
198 22074 6.817867e+03 4.080e-01 2.648e+01 3.192e-03
3.3897 8.4885e-09 5.4745 29.6 -2.5864e-12
199 22184 6.817666e+03 4.236e-01 2.644e+01 3.240e-03
3.3896 8.8139e-09 5.4745 29.6 -1.3927e-12
200 22294 6.817462e+03 4.392e-01 2.640e+01 3.288e-03
3.3895 9.142e-09 5.4745 29.6 1.7906e-12
201 22404 6.817255e+03 4.556e-01 2.635e+01 3.337e-03
3.3894 9.4834e-09 5.4745 29.6 1.9327e-12
202 22514 6.817045e+03 4.720e-01 2.631e+01 3.387e-03
3.3893 9.8266e-09 5.4745 29.6 5.9401e-12
203 22624 6.816831e+03 4.892e-01 2.626e+01 3.437e-03
3.3891 1.019e-08 5.4745 29.6 1.9327e-12
204 22734 6.816614e+03 5.069e-01 2.621e+01 3.487e-03
3.389 1.056e-08 5.4745 29.6 1.1369e-13
205 22844 6.816394e+03 5.252e-01 2.616e+01 3.539e-03
3.3889 1.0947e-08 5.4745 29.6 -5.0022e-12
206 22954 6.816171e+03 5.443e-01 2.612e+01 3.590e-03
3.3887 1.1342e-08 5.4745 29.6 -2.3874e-12
207 23064 6.815944e+03 5.636e-01 2.607e+01 3.643e-03
3.3886 1.1752e-08 5.4745 29.6 -5.3149e-12
208 23174 6.815714e+03 5.837e-01 2.601e+01 3.696e-03
3.3885 1.2174e-08 5.4745 29.6 1.8474e-12
209 23284 6.815480e+03 6.038e-01 2.596e+01 3.749e-03
3.3883 1.2601e-08 5.4745 29.6 -2.7569e-12
210 23394 6.815243e+03 6.247e-01 2.591e+01 3.803e-03
3.3882 1.304e-08 5.4745 29.6 -2.3874e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
211 23504 6.815002e+03 6.463e-01 2.585e+01 3.858e-03
3.3881 1.3496e-08 5.4745 29.6 8.8107e-13
212 23614 6.814758e+03 6.684e-01 2.580e+01 3.913e-03
3.3879 1.3959e-08 5.4745 29.6 -3.3253e-12
213 23724 6.814510e+03 6.911e-01 2.574e+01 3.969e-03
3.3878 1.4439e-08 5.4745 29.6 2.5864e-12
214 23834 6.814258e+03 7.138e-01 2.568e+01 4.026e-03
3.3876 1.492e-08 5.4745 29.6 1.0516e-12
215 23944 6.814003e+03 7.373e-01 2.562e+01 4.083e-03
3.3875 1.5422e-08 5.4745 29.6 7.9581e-13
216 24052 6.813744e+03 7.617e-01 2.556e+01 4.140e-03
3.3873 1.5937e-08 5.4745 29.6 -9.3792e-13
217 24160 6.813481e+03 7.860e-01 2.550e+01 4.198e-03
3.3872 1.6456e-08 5.4745 29.6 1.0516e-12
218 24268 6.813214e+03 8.119e-01 2.544e+01 4.257e-03
3.387 1.6995e-08 5.4745 29.6 2.3874e-12
219 24376 6.812944e+03 8.376e-01 2.538e+01 4.316e-03
3.3869 1.7545e-08 5.4745 29.6 2.8422e-14
220 24484 6.812670e+03 8.632e-01 2.531e+01 4.376e-03
3.3867 1.8096e-08 5.4745 29.6 -5.1159e-12
221 24592 6.812392e+03 8.901e-01 2.525e+01 4.437e-03
3.3865 1.8668e-08 5.4745 29.6 8.8107e-13
222 24700 6.812109e+03 9.171e-01 2.518e+01 4.498e-03
3.3864 1.9246e-08 5.4745 29.6 -4.8317e-13
223 24808 6.811823e+03 9.446e-01 2.511e+01 4.559e-03
3.3862 1.9839e-08 5.4745 29.6 4.4054e-12
224 24916 6.811533e+03 9.731e-01 2.504e+01 4.621e-03
3.386 2.0444e-08 5.4745 29.6 -4.2064e-12
225 25024 6.811239e+03 1.001e+00 2.497e+01 4.684e-03
3.3859 2.1055e-08 5.4745 29.6 -2.1316e-12
226 25132 6.810941e+03 1.030e+00 2.490e+01 4.747e-03
3.3857 2.1671e-08 5.4745 29.6 4.1211e-12
227 25240 6.810639e+03 1.060e+00 2.482e+01 4.810e-03
3.3855 2.2309e-08 5.4745 29.6 -2.3874e-12
228 25348 6.810332e+03 1.090e+00 2.475e+01 4.875e-03
3.3853 2.2955e-08 5.4745 29.6 -1.7906e-12
229 25456 6.810022e+03 1.120e+00 2.467e+01 4.939e-03
3.3852 2.3602e-08 5.4745 29.6 3.4959e-12
230 25564 6.809707e+03 1.150e+00 2.460e+01 5.004e-03
3.385 2.4268e-08 5.4745 29.6 -1.1369e-13
231 25672 6.809388e+03 1.181e+00 2.452e+01 5.070e-03
3.3848 2.4933e-08 5.4745 29.6 4.4054e-12
232 25780 6.809065e+03 1.212e+00 2.444e+01 5.136e-03
3.3846 2.561e-08 5.4745 29.6 -2.7001e-12
233 25888 6.808738e+03 1.244e+00 2.436e+01 5.203e-03
3.3844 2.6296e-08 5.4745 29.6 3.4106e-13
234 25996 6.808406e+03 1.275e+00 2.427e+01 5.270e-03
3.3842 2.6987e-08 5.4745 29.6 4.4054e-12
235 26104 6.808070e+03 1.306e+00 2.419e+01 5.338e-03
3.384 2.7676e-08 5.4745 29.6 -2.1316e-12
236 26212 6.807730e+03 1.338e+00 2.411e+01 5.406e-03
3.3838 2.8382e-08 5.4745 29.6 7.6739e-13
237 26320 6.807385e+03 1.370e+00 2.402e+01 5.474e-03
3.3836 2.9089e-08 5.4745 29.6 6.8212e-12
238 26428 6.807036e+03 1.402e+00 2.393e+01 5.543e-03
3.3834 2.9797e-08 5.4745 29.6 2.7001e-12
239 26536 6.806683e+03 1.434e+00 2.389e+01 5.612e-03
3.3832 3.0516e-08 5.4745 29.6 4.4054e-12
240 26644 6.806325e+03 1.466e+00 2.386e+01 5.682e-03
3.383 3.1228e-08 5.4745 29.6 2.3874e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
241 26752 6.805963e+03 1.498e+00 2.382e+01 5.752e-03
3.3828 3.1949e-08 5.4745 29.6 -1.4211e-13
242 26860 6.805596e+03 1.530e+00 2.378e+01 5.823e-03
3.3826 3.2675e-08 5.4745 29.6 7.9581e-13
243 26968 6.805225e+03 1.561e+00 2.374e+01 5.894e-03
3.3824 3.3382e-08 5.4745 29.6 -2.5864e-12
244 27076 6.804849e+03 1.593e+00 2.369e+01 5.965e-03
3.3821 3.4115e-08 5.4745 29.6 3.2969e-12
245 27184 6.804469e+03 1.623e+00 2.365e+01 6.037e-03
3.3819 3.4809e-08 5.4745 29.6 -1.3927e-12
246 27292 6.804085e+03 1.654e+00 2.361e+01 6.109e-03
3.3817 3.5521e-08 5.4745 29.6 1.2506e-12
247 27400 6.803696e+03 1.683e+00 2.356e+01 6.181e-03
3.3815 3.6219e-08 5.4745 29.6 -5.9686e-13
248 27508 6.803303e+03 1.713e+00 2.351e+01 6.254e-03
3.3812 3.693e-08 5.4745 29.6 1.4211e-13
249 27616 6.802905e+03 1.742e+00 2.347e+01 6.327e-03
3.381 3.7616e-08 5.4745 29.6 1.9611e-12
250 27724 6.802502e+03 1.771e+00 2.342e+01 6.400e-03
3.3808 3.8305e-08 5.4745 29.6 -6.8496e-12
251 27832 6.802096e+03 1.798e+00 2.337e+01 6.473e-03
3.3805 3.8966e-08 5.4745 29.6 1.8474e-12
252 27940 6.801684e+03 1.824e+00 2.332e+01 6.547e-03
3.3803 3.9632e-08 5.4745 29.6 5.0306e-12
253 28048 6.801268e+03 1.850e+00 2.327e+01 6.621e-03
3.3801 4.0277e-08 5.4745 29.6 -1.2221e-12
254 28156 6.800848e+03 1.875e+00 2.321e+01 6.696e-03
3.3798 4.0905e-08 5.4745 29.6 -1.1369e-13
255 28264 6.800424e+03 1.898e+00 2.316e+01 6.770e-03
3.3796 4.1515e-08 5.4745 29.6 -1.6769e-12
256 28372 6.799994e+03 1.921e+00 2.310e+01 6.845e-03
3.3793 4.2116e-08 5.4745 29.6 3.3253e-12
257 28480 6.799561e+03 1.941e+00 2.305e+01 6.919e-03
3.3791 4.2684e-08 5.4745 29.6 2.3022e-12
258 28588 6.799123e+03 1.961e+00 2.299e+01 6.994e-03
3.3788 4.3237e-08 5.4745 29.6 1.6769e-12
259 28696 6.798681e+03 1.979e+00 2.293e+01 7.070e-03
3.3786 4.376e-08 5.4745 29.6 4.1211e-12
260 28804 6.798234e+03 1.995e+00 2.287e+01 7.145e-03
3.3783 4.4258e-08 5.4745 29.6 1.2506e-12
261 28912 6.797783e+03 2.009e+00 2.280e+01 7.220e-03
3.378 4.4734e-08 5.4745 29.6 7.9581e-13
262 29020 6.797328e+03 2.022e+00 2.274e+01 7.296e-03
3.3778 4.5176e-08 5.4745 29.6 -3.1264e-13
263 29128 6.796868e+03 2.032e+00 2.267e+01 7.371e-03
3.3775 4.5591e-08 5.4745 29.6 2.3022e-12
264 29236 6.796405e+03 2.041e+00 2.261e+01 7.447e-03
3.3772 4.5967e-08 5.4745 29.6 3.4959e-12
265 29344 6.795937e+03 2.047e+00 2.254e+01 7.523e-03
3.377 4.63e-08 5.4745 29.6 -3.4106e-13
266 29453 6.795464e+03 2.050e+00 2.247e+01 7.598e-03
3.3767 4.6586e-08 5.4745 29.6 2.7001e-12
267 29561 6.794988e+03 2.052e+00 2.240e+01 7.674e-03
3.3764 4.6845e-08 5.4745 29.6 -1.6769e-12
268 29670 6.794508e+03 2.050e+00 2.233e+01 7.750e-03
3.3761 4.7062e-08 5.4745 29.6 3.5243e-12
269 29779 6.794023e+03 2.045e+00 2.225e+01 7.826e-03
3.3758 4.7215e-08 5.4745 29.6 -6.8212e-12
270 29888 6.793535e+03 2.038e+00 2.217e+01 7.901e-03
3.3756 4.7331e-08 5.4745 29.6 -5.3149e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
271 29997 6.793043e+03 2.027e+00 2.210e+01 7.977e-03
3.3753 4.7391e-08 5.4745 29.6 -4.2064e-12
272 30106 6.792546e+03 2.013e+00 2.202e+01 8.052e-03
3.375 4.739e-08 5.4745 29.6 1.6769e-12
273 30215 6.792046e+03 1.996e+00 2.193e+01 8.128e-03
3.3747 4.735e-08 5.4745 29.6 3.2969e-12
274 30324 6.791543e+03 1.975e+00 2.185e+01 8.203e-03
3.3744 4.7231e-08 5.4745 29.6 3.4959e-12
275 30433 6.791035e+03 1.951e+00 2.177e+01 8.279e-03
3.3741 4.7069e-08 5.4745 29.6 -6.8212e-12
276 30542 6.790524e+03 1.920e+00 2.168e+01 8.354e-03
3.3738 4.6815e-08 5.4745 29.6 3.5243e-12
277 30651 6.790009e+03 1.888e+00 2.159e+01 8.429e-03
3.3735 4.6512e-08 5.4745 29.6 -1.9327e-12
278 30760 6.789491e+03 1.851e+00 2.150e+01 8.503e-03
3.3732 4.6133e-08 5.4745 29.6 5.0306e-12
279 30869 6.788969e+03 1.809e+00 2.141e+01 8.578e-03
3.3729 4.5661e-08 5.4745 29.6 7.9581e-13
280 30978 6.788444e+03 1.761e+00 2.131e+01 8.653e-03
3.3726 4.5114e-08 5.4745 29.6 -2.8422e-14
281 31087 6.787916e+03 1.711e+00 2.122e+01 8.727e-03
3.3723 4.4498e-08 5.4745 29.6 7.6739e-13
282 31198 6.787384e+03 1.653e+00 2.112e+01 8.801e-03
3.372 4.3785e-08 5.4745 29.6 -4.2633e-13
283 31309 6.786850e+03 1.592e+00 2.102e+01 8.875e-03
3.3717 4.2982e-08 5.4745 29.6 1.2221e-12
284 31420 6.786312e+03 1.524e+00 2.092e+01 8.948e-03
3.3713 4.2091e-08 5.4745 29.6 2.3022e-12
285 31531 6.785772e+03 1.450e+00 2.081e+01 9.021e-03
3.371 4.1088e-08 5.4745 29.6 -3.5243e-12
286 31642 6.785228e+03 1.371e+00 2.071e+01 9.094e-03
3.3707 4.0003e-08 5.4745 29.6 -9.3792e-13
287 31753 6.784682e+03 1.286e+00 2.060e+01 9.167e-03
3.3704 3.881e-08 5.4745 29.6 5.9686e-13
288 31864 6.784134e+03 1.194e+00 2.049e+01 9.239e-03
3.3701 3.7501e-08 5.4745 29.6 2.3022e-12
289 31975 6.783583e+03 1.096e+00 2.037e+01 9.311e-03
3.3698 3.6092e-08 5.4745 29.6 2.7001e-12
290 32086 6.783029e+03 9.906e-01 2.026e+01 9.383e-03
3.3694 3.4561e-08 5.4745 29.6 1.0232e-12
291 32197 6.782473e+03 8.790e-01 2.014e+01 9.454e-03
3.3691 3.2922e-08 5.4745 29.6 1.3927e-12
292 32308 6.781915e+03 7.610e-01 2.002e+01 9.525e-03
3.3688 3.1177e-08 5.4745 29.6 1.0516e-12
293 32419 6.781355e+03 6.339e-01 1.990e+01 9.596e-03
3.3685 2.9252e-08 5.4745 29.6 2.3022e-12
294 32530 6.780793e+03 4.979e-01 1.977e+01 9.666e-03
3.3681 2.7204e-08 5.4745 29.6 1.0516e-12
295 32641 6.780229e+03 3.541e-01 1.965e+01 9.736e-03
3.3678 2.5053e-08 5.4745 29.6 3.2969e-12
296 32754 6.779241e+03 8.548e-01 1.942e+01 1.715e-02
3.3672 1.1746e-07 5.4745 29.6 -5.0306e-12
297 32865 6.778249e+03 6.850e-01 1.918e+01 1.736e-02
3.3666 9.3622e-08 5.4745 29.6 1.4211e-13
298 32980 6.777377e+03 1.536e+00 1.897e+01 1.538e-02
3.3661 4.6088e-08 5.4745 29.6 -4.4338e-12
299 33091 6.776939e+03 3.036e-01 1.886e+01 7.771e-03
3.3659 4.0822e-09 5.4745 29.6 3.4959e-12
300 33206 6.776555e+03 2.482e-01 1.877e+01 6.834e-03
3.3657 2.0214e-09 5.4745 29.6 -1.7906e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
301 33321 6.776218e+03 1.943e-01 1.868e+01 6.007e-03
3.3655 9.3402e-10 5.4745 29.6 4.2348e-12
302 33436 6.775924e+03 1.467e-01 1.861e+01 5.276e-03
3.3653 3.6282e-10 5.4745 29.6 2.3874e-12
303 33551 6.775666e+03 1.083e-01 1.854e+01 4.632e-03
3.3651 8.2865e-11 5.4745 29.6 8.8107e-13
304 33666 6.775440e+03 7.846e-02 1.848e+01 4.065e-03
3.365 -3.6649e-11 5.4745 29.6 -3.5243e-12
305 33779 6.775045e+03 4.581e-01 1.838e+01 7.130e-03
3.3648 -8.0734e-10 5.4745 29.6 3.5243e-12
306 33888 6.774649e+03 5.111e-01 1.827e+01 7.161e-03
3.3645 -1.6573e-09 5.4745 29.6 -1.4779e-12
307 33999 6.774254e+03 5.665e-01 1.817e+01 7.192e-03
3.3643 -2.55e-09 5.4745 29.6 -4.2064e-12
308 34110 6.773858e+03 6.237e-01 1.806e+01 7.222e-03
3.3641 -3.4598e-09 5.4745 29.6 -5.9686e-13
309 34221 6.773463e+03 6.825e-01 1.795e+01 7.253e-03
3.3639 -4.392e-09 5.4745 29.6 -1.6769e-12
310 34332 6.773067e+03 7.431e-01 1.784e+01 7.283e-03
3.3636 -5.376e-09 5.4745 29.6 -4.8317e-13
311 34443 6.772672e+03 8.053e-01 1.773e+01 7.313e-03
3.3634 -6.3657e-09 5.4745 29.6 -3.2117e-12
312 34554 6.772277e+03 8.685e-01 1.762e+01 7.344e-03
3.3632 -7.377e-09 5.4745 29.6 2.16e-12
313 34665 6.771882e+03 9.347e-01 1.751e+01 7.373e-03
3.3629 -8.4358e-09 5.4745 29.6 -5.3149e-12
314 34776 6.771487e+03 1.003e+00 1.739e+01 7.403e-03
3.3627 -9.5183e-09 5.4745 29.6 -1.0516e-12
315 34887 6.771092e+03 1.072e+00 1.727e+01 7.433e-03
3.3625 -1.0649e-08 5.4745 29.6 -1.0516e-12
316 34996 6.770698e+03 1.143e+00 1.716e+01 7.462e-03
3.3622 -1.1797e-08 5.4745 29.6 5.0306e-12
317 35105 6.770305e+03 1.217e+00 1.704e+01 7.491e-03
3.362 -1.2995e-08 5.4745 29.6 -7.9581e-13
318 35214 6.769912e+03 1.292e+00 1.692e+01 7.521e-03
3.3618 -1.4215e-08 5.4745 29.6 3.5243e-12
319 35323 6.769519e+03 1.369e+00 1.680e+01 7.550e-03
3.3616 -1.5476e-08 5.4745 29.6 5.1159e-12
320 35432 6.769127e+03 1.449e+00 1.667e+01 7.578e-03
3.3613 -1.6761e-08 5.4745 29.6 -2.5864e-12
321 35541 6.768736e+03 1.530e+00 1.655e+01 7.607e-03
3.3611 -1.8081e-08 5.4745 29.6 -3.4106e-13
322 35650 6.768345e+03 1.614e+00 1.642e+01 7.635e-03
3.3609 -1.9436e-08 5.4745 29.6 -4.4054e-12
323 35759 6.767955e+03 1.699e+00 1.629e+01 7.664e-03
3.3606 -2.0832e-08 5.4745 29.6 1.8474e-12
324 35868 6.767567e+03 1.786e+00 1.617e+01 7.692e-03
3.3604 -2.2264e-08 5.4745 29.6 2.8422e-14
325 35977 6.767179e+03 1.875e+00 1.603e+01 7.720e-03
3.3602 -2.3721e-08 5.4745 29.6 1.6769e-12
326 36086 6.766792e+03 1.966e+00 1.590e+01 7.748e-03
3.36 -2.52e-08 5.4745 29.6 1.9327e-12
327 36195 6.766406e+03 2.060e+00 1.577e+01 7.776e-03
3.3597 -2.674e-08 5.4745 29.6 -3.2969e-12
328 36304 6.766021e+03 2.156e+00 1.564e+01 7.803e-03
3.3595 -2.8321e-08 5.4745 29.6 -5.1159e-12
329 36413 6.765638e+03 2.254e+00 1.550e+01 7.830e-03
3.3593 -2.9913e-08 5.4745 29.6 2.6148e-12
330 36522 6.765255e+03 2.353e+00 1.536e+01 7.858e-03
3.3591 -3.1555e-08 5.4745 29.6 -2.7569e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
331 36631 6.764875e+03 2.455e+00 1.522e+01 7.885e-03
3.3589 -3.3209e-08 5.4745 29.6 -5.9686e-13
332 36740 6.764495e+03 2.559e+00 1.508e+01 7.912e-03
3.3586 -3.4923e-08 5.4745 29.6 4.8317e-13
333 36849 6.764117e+03 2.665e+00 1.494e+01 7.938e-03
3.3584 -3.6657e-08 5.4745 29.6 3.2969e-12
334 36958 6.763741e+03 2.773e+00 1.480e+01 7.965e-03
3.3582 -3.8447e-08 5.4745 29.6 3.1264e-13
335 37067 6.763366e+03 2.882e+00 1.465e+01 7.991e-03
3.358 -4.0226e-08 5.4745 29.6 -4.2064e-12
336 37176 6.762993e+03 2.994e+00 1.451e+01 8.018e-03
3.3578 -4.2082e-08 5.4745 29.6 2.5864e-12
337 37285 6.762622e+03 3.108e+00 1.436e+01 8.044e-03
3.3575 -4.3965e-08 5.4745 29.6 5.0306e-12
338 37394 6.762253e+03 3.223e+00 1.421e+01 8.070e-03
3.3573 -4.5862e-08 5.4745 29.6 -1.1369e-13
339 37503 6.761885e+03 3.342e+00 1.406e+01 8.096e-03
3.3571 -4.7811e-08 5.4745 29.6 -2.8422e-14
340 37612 6.761520e+03 3.460e+00 1.391e+01 8.122e-03
3.3569 -4.976e-08 5.4745 29.6 3.2117e-12
341 37721 6.761157e+03 3.581e+00 1.375e+01 8.147e-03
3.3567 -5.1775e-08 5.4745 29.6 3.4959e-12
342 37830 6.760796e+03 3.704e+00 1.360e+01 8.173e-03
3.3565 -5.3782e-08 5.4745 29.6 2.4158e-12
343 37939 6.760437e+03 3.829e+00 1.344e+01 8.198e-03
3.3563 -5.5843e-08 5.4745 29.6 -1.7906e-12
344 38048 6.760080e+03 3.953e+00 1.328e+01 8.223e-03
3.3561 -5.7916e-08 5.4745 29.6 -2.5864e-12
345 38157 6.759726e+03 4.081e+00 1.312e+01 8.248e-03
3.3559 -6.0037e-08 5.4745 29.6 -7.9581e-13
346 38266 6.759375e+03 4.208e+00 1.296e+01 8.273e-03
3.3556 -6.2135e-08 5.4745 29.6 5.1159e-12
347 38375 6.759026e+03 4.338e+00 1.280e+01 8.298e-03
3.3554 -6.4288e-08 5.4745 29.6 3.2117e-12
348 38484 6.758680e+03 4.469e+00 1.263e+01 8.322e-03
3.3552 -6.6458e-08 5.4745 29.6 4.4054e-12
349 38593 6.758337e+03 4.602e+00 1.247e+01 8.347e-03
3.355 -6.8656e-08 5.4745 29.6 -8.8107e-13
350 38702 6.757996e+03 4.733e+00 1.230e+01 8.371e-03
3.3548 -7.0862e-08 5.4745 29.6 2.5864e-12
351 38811 6.757659e+03 4.868e+00 1.213e+01 8.395e-03
3.3546 -7.3068e-08 5.4745 29.6 3.2117e-12
352 38920 6.757324e+03 5.000e+00 1.196e+01 8.419e-03
3.3545 -7.5263e-08 5.4745 29.6 -5.9686e-13
353 39029 6.756993e+03 5.136e+00 1.179e+01 8.443e-03
3.3543 -7.7493e-08 5.4745 29.6 -5.9117e-12
354 39138 6.756665e+03 5.268e+00 1.161e+01 8.467e-03
3.3541 -7.9743e-08 5.4745 29.6 -1.3927e-12
355 39247 6.756340e+03 5.403e+00 1.144e+01 8.490e-03
3.3539 -8.1955e-08 5.4745 29.6 4.4054e-12
356 39356 6.756019e+03 5.540e+00 1.126e+01 8.514e-03
3.3537 -8.4199e-08 5.4745 29.6 1.2221e-12
357 39465 6.755701e+03 5.673e+00 1.108e+01 8.537e-03
3.3535 -8.6436e-08 5.4745 29.6 -1.6769e-12
358 39574 6.755387e+03 5.807e+00 1.090e+01 8.561e-03
3.3533 -8.8619e-08 5.4745 29.6 -1.4779e-12
359 39683 6.755077e+03 5.938e+00 1.072e+01 8.584e-03
3.3531 -9.0836e-08 5.4745 29.6 4.4054e-12
360 39789 6.755025e+03 6.146e-02 1.070e+01 4.791e-03
3.3531 6.1459e-06 5.4745 29.6 4.4338e-12
First-order Norm of
Iter F-count f(x) Feasibility optimality step
361 39901 6.754950e+03 9.507e-02 1.066e+01 2.153e-03
3.3531 -1.4556e-09 5.4745 29.6 2.1316e-12
362 40012 6.754873e+03 9.542e-02 1.061e+01 2.154e-03
3.353 -1.4631e-09 5.4745 29.6 9.0949e-13
3.353 -1.4631e-09 5.4745 29.6 9.0949e-13
Solver stopped prematurely.
fmincon stopped because it exceeded the function evaluation limit,
options.MaxFunctionEvaluations = 4.000000e+04.
Planar optimization results:
----------------------------
Destination: 29.6 AU
sigma: 740 W/kg
uE: 100 km/s
eta: 0.3
f: 0.05
Duration: 1643.6 days
Thrust: 3.4 N
Distance error: -0.095 km
Velocity errors: [-1.46314e-09;2.20927e-09] km/s
Payload: 1000 kg
Engine: 755.186 kg
Dry mass: 1993.27 kg
Fuel: 4761.61 kg
Total mass: 6754.87 kg
Total DV: 122.049 km/s
Power: 0.558838 MW
Mars Angle: 265.221 deg
Earth Angle: 1620 deg
Report:
Inputs -- --
Payload 1000 kg
Travel time 4.50 years
Specific Power 0.74 kW/kg
Exhaust velocity 100 km/s
Thrust Efficiency 0.30
Fuel Fraction 0.05
Outputs -- --
Thrust 3.35 N
Total Mass 6754.87 kg
Mass Dry 1993.27 kg
Mass Engine 755.19 kg
Mass Fuel 4761.61 kg
Flow Rate 0.03 g/s
Power 0.56 MW
Delta V 122.05 km/s
Final Distance 29.60 AU
Final Velocity 5.47 km/s
