Planet 9 orbit

See also: Constant, RVOrbGen, Date2JD, TrajectoryBetweenTwoPlanets, SpacecraftFromAccel

Contents

%--------------------------------------------------------------------------
%   Copyright (c) 2021 Princeton Satellite Systems, Inc.
%   All rights reserved.
%--------------------------------------------------------------------------
%   Since 2021.1
%--------------------------------------------------------------------------

Constants

aU        = Constant('au');
mu        = Constant('mu sun');
secInYear = 86400*365.25;
dToR      = pi/180;

el        = [700*aU [30 100 140]*dToR 0.6 0];

[r,v,t]   = RVOrbGen(el,[],[],mu);

jD0       = Date2JD;

HelioPlot([7 8 9],150,jD0,r,{'Planet 9'});

Trajectory

years         = 11;  % 50, 20
planet1       = 3;
planet2.name  = 'Planet 9';
planet2.el    = el;
nSteps        = 10;
s             = TrajectoryBetweenTwoPlanets( jD0, planet1, planet2, years, nSteps );
                                            First-order      Norm of
 Iter F-count            f(x)  Feasibility   optimality         step
    0      61    6.975926e-06    8.101e+09    3.992e-06
    1     122    9.513127e-06    3.318e+07    2.266e+02    9.655e-07
    2     183    9.522518e-06    2.075e+06    8.555e+00    2.363e-08
    3     244    9.522470e-06    3.508e+04    8.580e-02    3.695e-10

Optimization completed: The relative first-order optimality measure, 8.580027e-02,
is less than options.OptimalityTolerance = 1.000000e-01, and the relative maximum constraint
violation, 4.330541e-06, is less than options.ConstraintTolerance = 1.000000e-05.

Final Equality Constraints
        35082
        20231
       -13627
   0.00010901
   6.4317e-05
   -4.206e-05

Size the spacecraft

sC            = struct('uE',300,'sigma',2e3,'fS',0.02,'mP',2000,'eff',0.5,'pMin',1);

SpacecraftFromAccel(sC,s);


%--------------------------------------
Total mission DV:    330.6 km/s
Max thrust power:   12.136 MW
Total mass:        26959.1 kg
Engine mass:      6068 kg
Payload mass:     2000 kg
Fuel mass:        18001 kg
Structural mass:  360 kg