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dscom.m
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% -----------------------------------------------------------------------------
%
% procedure dscom
%
% this procedure provides deep space common items used by both the secular
% and periodics subroutines. input is provided as shown. this routine
% used to be called dpper, but the functions inside weren't well organized.
%
% Author:
% Jeff Beck
% 1.0 (aug 7, 2006) - update for paper dav
% original comments from Vallado C++ version:
% author : david vallado 719-573-2600 28 jun 2005
%
% inputs :
% epoch -
% ep - eccentricity
% argpp - argument of perigee
% tc -
% inclp - inclination
% nodep - right ascension of ascending node
% np - mean motion
%
% outputs :
% sinim , cosim , sinomm , cosomm , snodm , cnodm
% day -
% e3 -
% ee2 -
% em - eccentricity
% emsq - eccentricity squared
% gam -
% peo -
% pgho -
% pho -
% pinco -
% plo -
% rtemsq -
% se2, se3 -
% sgh2, sgh3, sgh4 -
% sh2, sh3, si2, si3, sl2, sl3, sl4 -
% s1, s2, s3, s4, s5, s6, s7 -
% ss1, ss2, ss3, ss4, ss5, ss6, ss7, sz1, sz2, sz3 -
% sz11, sz12, sz13, sz21, sz22, sz23, sz31, sz32, sz33 -
% xgh2, xgh3, xgh4, xh2, xh3, xi2, xi3, xl2, xl3, xl4 -
% nm - mean motion
% z1, z2, z3, z11, z12, z13, z21, z22, z23, z31, z32, z33 -
% zmol -
% zmos -
%
% locals :
% a1, a2, a3, a4, a5, a6, a7, a8, a9, a10 -
% betasq -
% cc -
% ctem, stem -
% x1, x2, x3, x4, x5, x6, x7, x8 -
% xnodce -
% xnoi -
% zcosg , zsing , zcosgl , zsingl , zcosh , zsinh , zcoshl , zsinhl ,
% zcosi , zsini , zcosil , zsinil ,
% zx -
% zy -
%
% coupling :
% none.
%
% references :
% hoots, roehrich, norad spacetrack report #3 1980
% hoots, norad spacetrack report #6 1986
% hoots, schumacher and glover 2004
% vallado, crawford, hujsak, kelso 2006
% ----------------------------------------------------------------------------*/
function [ sinim,cosim,sinomm,cosomm,snodm,cnodm,day,e3,ee2,em,emsq,gam,...
peo,pgho,pho,pinco,plo,rtemsq,se2,se3,sgh2,sgh3,sgh4,sh2,sh3,si2,...
si3,sl2,sl3,sl4,s1,s2,s3,s4,s5,s6,s7,ss1,ss2,ss3,ss4,ss5,ss6,ss7,...
sz1,sz2,sz3,sz11,sz12,sz13,sz21,sz22,sz23,sz31,sz32,sz33,xgh2,xgh3,...
xgh4,xh2,xh3,xi2,xi3,xl2,xl3,xl4,nm,z1,z2,z3,z11,z12,z13,z21,z22,...
z23,z31,z32,z33,zmol,zmos]...
= dscom (epoch, ep, argpp, tc, inclp, nodep, np)
% /* -------------------------- constants ------------------------- */
zes = 0.01675;
zel = 0.05490;
c1ss = 2.9864797e-6;
c1l = 4.7968065e-7;
zsinis = 0.39785416;
zcosis = 0.91744867;
zcosgs = 0.1945905;
zsings = -0.98088458;
twopi = 2.0 * pi;
% /* --------------------- local variables ------------------------ */
nm = np;
em = ep;
snodm = sin(nodep);
cnodm = cos(nodep);
sinomm = sin(argpp);
cosomm = cos(argpp);
sinim = sin(inclp);
cosim = cos(inclp);
emsq = em * em;
betasq = 1.0 - emsq;
rtemsq = sqrt(betasq);
% /* ----------------- initialize lunar solar terms --------------- */
peo = 0.0;
pinco = 0.0;
plo = 0.0;
pgho = 0.0;
pho = 0.0;
day = epoch + 18261.5 + tc / 1440.0;
xnodce = rem(4.5236020 - 9.2422029e-4 * day, twopi);
stem = sin(xnodce);
ctem = cos(xnodce);
zcosil = 0.91375164 - 0.03568096 * ctem;
zsinil = sqrt(1.0 - zcosil * zcosil);
zsinhl = 0.089683511 * stem / zsinil;
zcoshl = sqrt(1.0 - zsinhl * zsinhl);
gam = 5.8351514 + 0.0019443680 * day;
zx = 0.39785416 * stem / zsinil;
zy = zcoshl * ctem + 0.91744867 * zsinhl * stem;
zx = atan2(zx, zy);
zx = gam + zx - xnodce;
zcosgl = cos(zx);
zsingl = sin(zx);
% /* ------------------------- do solar terms --------------------- */
zcosg = zcosgs;
zsing = zsings;
zcosi = zcosis;
zsini = zsinis;
zcosh = cnodm;
zsinh = snodm;
cc = c1ss;
xnoi = 1.0 / nm;
for (lsflg = 1:2)
a1 = zcosg * zcosh + zsing * zcosi * zsinh;
a3 = -zsing * zcosh + zcosg * zcosi * zsinh;
a7 = -zcosg * zsinh + zsing * zcosi * zcosh;
a8 = zsing * zsini;
a9 = zsing * zsinh + zcosg * zcosi * zcosh;
a10 = zcosg * zsini;
a2 = cosim * a7 + sinim * a8;
a4 = cosim * a9 + sinim * a10;
a5 = -sinim * a7 + cosim * a8;
a6 = -sinim * a9 + cosim * a10;
x1 = a1 * cosomm + a2 * sinomm;
x2 = a3 * cosomm + a4 * sinomm;
x3 = -a1 * sinomm + a2 * cosomm;
x4 = -a3 * sinomm + a4 * cosomm;
x5 = a5 * sinomm;
x6 = a6 * sinomm;
x7 = a5 * cosomm;
x8 = a6 * cosomm;
z31 = 12.0 * x1 * x1 - 3.0 * x3 * x3;
z32 = 24.0 * x1 * x2 - 6.0 * x3 * x4;
z33 = 12.0 * x2 * x2 - 3.0 * x4 * x4;
z1 = 3.0 * (a1 * a1 + a2 * a2) + z31 * emsq;
z2 = 6.0 * (a1 * a3 + a2 * a4) + z32 * emsq;
z3 = 3.0 * (a3 * a3 + a4 * a4) + z33 * emsq;
z11 = -6.0 * a1 * a5 + emsq * (-24.0 * x1 * x7-6.0 * x3 * x5);
z12 = -6.0 * (a1 * a6 + a3 * a5) + emsq *...
(-24.0 * (x2 * x7 + x1 * x8) - 6.0 * (x3 * x6 + x4 * x5));
z13 = -6.0 * a3 * a6 + emsq * (-24.0 * x2 * x8 - 6.0 * x4 * x6);
z21 = 6.0 * a2 * a5 + emsq * (24.0 * x1 * x5 - 6.0 * x3 * x7);
z22 = 6.0 * (a4 * a5 + a2 * a6) + emsq *...
(24.0 * (x2 * x5 + x1 * x6) - 6.0 * (x4 * x7 + x3 * x8));
z23 = 6.0 * a4 * a6 + emsq * (24.0 * x2 * x6 - 6.0 * x4 * x8);
z1 = z1 + z1 + betasq * z31;
z2 = z2 + z2 + betasq * z32;
z3 = z3 + z3 + betasq * z33;
s3 = cc * xnoi;
s2 = -0.5 * s3 / rtemsq;
s4 = s3 * rtemsq;
s1 = -15.0 * em * s4;
s5 = x1 * x3 + x2 * x4;
s6 = x2 * x3 + x1 * x4;
s7 = x2 * x4 - x1 * x3;
% /* ----------------------- do lunar terms ------------------- */
if (lsflg == 1)
ss1 = s1;
ss2 = s2;
ss3 = s3;
ss4 = s4;
ss5 = s5;
ss6 = s6;
ss7 = s7;
sz1 = z1;
sz2 = z2;
sz3 = z3;
sz11 = z11;
sz12 = z12;
sz13 = z13;
sz21 = z21;
sz22 = z22;
sz23 = z23;
sz31 = z31;
sz32 = z32;
sz33 = z33;
zcosg = zcosgl;
zsing = zsingl;
zcosi = zcosil;
zsini = zsinil;
zcosh = zcoshl * cnodm + zsinhl * snodm;
zsinh = snodm * zcoshl - cnodm * zsinhl;
cc = c1l;
end
end
zmol = rem(4.7199672 + 0.22997150 * day - gam, twopi);
zmos = rem(6.2565837 + 0.017201977 * day, twopi);
% /* ------------------------ do solar terms ---------------------- */
se2 = 2.0 * ss1 * ss6;
se3 = 2.0 * ss1 * ss7;
si2 = 2.0 * ss2 * sz12;
si3 = 2.0 * ss2 * (sz13 - sz11);
sl2 = -2.0 * ss3 * sz2;
sl3 = -2.0 * ss3 * (sz3 - sz1);
sl4 = -2.0 * ss3 * (-21.0 - 9.0 * emsq) * zes;
sgh2 = 2.0 * ss4 * sz32;
sgh3 = 2.0 * ss4 * (sz33 - sz31);
sgh4 = -18.0 * ss4 * zes;
sh2 = -2.0 * ss2 * sz22;
sh3 = -2.0 * ss2 * (sz23 - sz21);
% /* ------------------------ do lunar terms ---------------------- */
ee2 = 2.0 * s1 * s6;
e3 = 2.0 * s1 * s7;
xi2 = 2.0 * s2 * z12;
xi3 = 2.0 * s2 * (z13 - z11);
xl2 = -2.0 * s3 * z2;
xl3 = -2.0 * s3 * (z3 - z1);
xl4 = -2.0 * s3 * (-21.0 - 9.0 * emsq) * zel;
xgh2 = 2.0 * s4 * z32;
xgh3 = 2.0 * s4 * (z33 - z31);
xgh4 = -18.0 * s4 * zel;
xh2 = -2.0 * s2 * z22;
xh3 = -2.0 * s2 * (z23 - z21);
global idebug dbgfile
if idebug
debug2;
end
return;