Hohmann transfer to Mars.
This is the most fuel efficient way to get to Mars. Assumes Mars and Earth are coplanar. Creates a plot showing the transfer orbit.
Since version 2014.1 ------------------------------------------------------------------------- See also DVHoh, Constant, Period -------------------------------------------------------------------------
%-------------------------------------------------------------------------- % Copyright (c) 2013 Princeton Satellite Systems, Inc. % All Rights Reserved. %-------------------------------------------------------------------------- aU = Constant('au'); muSun = Constant('mu sun'); v1 = sqrt(muSun/aU); [dV, dV1, dV2, eT, aT] = DVHoh( aU, 1.5*aU, v1, muSun ); tOF = Period(aT,muSun)/2; t = linspace(0,tOF); el = [aT 0 0 0 eT 0]; rT = RVFromKepler( el, t, muSun ); a = linspace(0,2*pi); NewFig('Hohmann Transfer') plot(rT(1,:)/aU,rT(2,:)/aU,'--g','linewidth',2); hold on plot(cos(a),sin(a),'b'); plot(1.5*cos(a),1.5*sin(a),'r'); plot(0,0,'oy','linewidth',4) text(0,0,' Sun') text(1.02,0,' Earth') text(-1.49,0,' Mars') title(sprintf('Total Delta-V: %.2g km/s; Duration: %.1f days',dV,tOF/86400)) grid axis image %-------------------------------------- % PSS internal file version information %--------------------------------------
grid = 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1