GNSS-Based Orbit Determination for Highly Elliptical Orbit Satellites

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2 u. h u u ug h xpd u- g vy d vg uy f w pd. vg C ud. wh p h J. h h Cd I CI d y. h X d Z x p wd h v qux d x f h h Juy, ::. UC pvy. J. = Juy. = JD. D Dy. ug h h p v = [ x y z] d h vy v v = [ v,, ] x vy vz, h v w : M X = # $ = % x, y, z, v, v, v % v x y z H Fgu. y f g p y H.. D gh. Mu Md h v qu h ph gv y: = R + u + v wh dx pudg f h H h vg R g d f h H h vg v d u u g quv h v ff wh p f If v, h K f d xpd : Z = h X + wh Z = [ ] h v v f pudg u, X h v, h X = [ + u + u + u ] v fu h df h hp w h v v d h v, d v v v # h = $ % v. y pu udd hx dd u wh [ ] = d [ ] = R.. Dy Md F h d dy d f H, h dy ud df h qu f I g f, h qu f pd : X = f X, + W wh f h fu h d h dy, d W h p f h qu. Igg h p W, h f dvv f h v X hf : X v = f X, = # $ = # $ % v % wh h f h. h p f h dpd h ud f h. F H wh ud v f ppxy, pg, pg, h w pud y h w-dy, h ph h gv p, h u- gv p,. hu, h f H w : = h + u + M + w 6 wh u d M h hd-dy ff f h u d M pvy, h ud h w-dy ff d h -ph gv p ff f h h, d w p h hgh-d h dd h f h y d. h pu uh ph dg, d pu, h d,. ud gg pd h g ff w. h z h dd J, J d J. h -ph gv p h pd h CI d y [9]: µ x # R $ # z $ # R $ # z $ z # R $ # z z $ % J + J 7 J 6 % + % % % + 8, * + * + * + * + * + * + - # $ # $ $ # z z $ * + * + 6 * + * + * 8 % +, + * + - µ z R z R z z R R z z J J 6 7 µ # $ # $ # $ # $ # $ # $ # $ % + % + % J + % J % * + * + * + * + 8,, * + * + - * + - µ y # R $ z # R $ z z # R h = % J + % J + % 7 % J

3 wh = x + y + z d w h g f h h d h H R h h du d W-8 f f µ h gv p f h h J J J ff fd z h, d h d. h u- gvy f dpd h u- p wh gd h H. h u- pu ud y[]: u µ # $ % # = # M µ # $ % # = # wh µ d µ h gv p f h u d M pvy, d = [ x, y, z ] d = [ x, y, z ] p v f h u d M h CI d f pvy. h v dd. h f h dv X pd f h df d h df,.. X = [ ] u. xpy d u d dv y z wh gd h p d; fd h f d Mv p. F v, ud h h fu dff hv ufd y, d h : # % u X = f X, + W = $ + [ w w ] 7 u u u u h p u h d. h ug v pd f x pf p d vy p d h v d. h v p d xpd : X = f X + W 8 wh h v X, h d f X d h u W, h CI f gv y: X X = # X $ %, f X, f X = # f, $ % X W W. W, = # $ % h u W xpd hv h u du wh [ W ] = d [ WW ] = Q. h v Q d R ud dg, whh p hyph wh K f ud. h, h pu d h p d u f d ud. yp vg u f f pf p, vy d d p f h v hvu. I h pp, h pfd ug xdd K F KF u f h - dy pd h pvu. h dvg f h K f pph wh p h gh : f h pvd uy f h u h p f d pu; d h pd dy d h f pd p d vy v fuu, v h f u []. h f u d d h y dy d gv qu d 8. I KF p, h p dvv f h pdd v f X d f h pdd u v h X h -h p u dd: h = h X H = H X f = f X F = F X h X H = X f Xˆ F = X wh ˆX d X h d d h pdd v pvy. F h pvu df, h p f h fwg p []: Xˆ + / = Xˆ / + f [ X ] # Xˆ + = Xˆ + / + Xˆ + Xˆ + = K + { Z + H[ Xˆ + / ]} + / = Ö + / / Ö + / + Q K + = + / H + [ H + + / H + + R + ] + = [ I K + H + ] + / [ I K + H + ] + K + R + K + wh h v x f h uy, K h K g x, Ö h x f h d dy y Ö I + F f.. u vvw. u Dp, d h g v f h h pph h H d h dd h pvu. H h ppd gh pd d pf yd ug M-C u[]. h dd Fgu ud y h pf f h ppd gh. I ud h fwg du: d, H dy, u pu d K f pg.. h xdd K F

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6 / y / y pg g pg g h dd Dv RM p pg g pg y dd Dv g h RM vy Fgu. Cvg f K f H g... pg g.. g h dd Dv RM p pg g h RM vy y dd Dv Fgu 6. Cvg f K f H-.. Cudg R h pp f u- g f p H d y p u p, dd y h u f h u udy pd h pp. g v h p f H -f-gh -vy, hwv, u- pvd dud u f v d hf u u d. I h udy, h xdd K f ppd u- ud v d d h wh p uy < f p v, d <./ f vy v. wdg h uh wh h h gu f h h f uvyg d p If y, Uvy f w uh W, u, d h Cg f u gg, g Uvy f u d u,.r. Ch. h f uh wh h h Ch hhp Cu f h hhp upp dug h g. Rf Mu, M.C., xd,.,, J.., g,.c. : Rv hu d xpd f f uu vg Hgh h. vg, 7, 9-. I, J., qu,., d, M., Chu, M., uh, D., y,., d, C., Czux, C., gd, F., Bh,. 999: w p vg xp. h I. h. Mg f h Dv f h U.. I. f vg, hv,, -7 p, pg u??? Bd,.M., Dy,.J. 999, hqu f h U f f Hgh g. U,9,96. H,., u, M. 999: R- Hgh uy d D F U R g. h I. h. Mg f h Dv f h U.. I. f vg, hv,, - 7 p, Muh, R., Rh,., Kug, D., Hf, M., Bg, W., B-v, Y. : D wh Hgh uy R- Dff y. h I. h. Mg f h Dv f h U.. I. f vg, Cy, Uh, - p, pg u???? v., B., f, B., H,.W., Z,., d, W., hdhu, M.,,. 998: g

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