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20 Nov 2023: cos φm = A Be2, (12). and A and B are functions of a/aN that should be determined. ... φ̈ = (A B cos φ) sin φ, (19). where A and B are functions of the orbital parameters of the particle and satellite that should be determined.

29 Sep 2023: b) Starting from M = E e sin E, r = a(1 e cos E) and h = na2. ... cos g =(1 ra) e. 2. e(1 ra) e, (6). and so that cos g = cos M O(e2).

28 Jun 2020: θ = H0 η (m,0 1)1/2 (15.2). 3. whereby:r(θ) = A(1 cos θ) (15.3). ... m,0 1(15.7). and, more generally,r. rmax=. 1. 2(1 cos θ). (15.8).

6 Dec 2004: a. xx. =. Acos. 2. θBsin. 2. θ. a. yy. =. Asin. 2. θBcos. 2. θ. a. xy. =. 2(A-B)cosθsinθ. where A=1/a. ... 2. and B=1/b. 2. (a and b being the semi-major and semi-minor axes respectively).

22 Nov 2018: systemic velocity of the galaxyindicated by the Doppler shift of the nucleus, and b/a = cos i is the ratioof the minor to the major axis of the ellipse that a ... Right : The observer sees distorted, correlated, images of the distant galaxies.The

22 Mar 2024: to 20 Micron Spectrum of the Planetary-Mass Companion VHS 1256-1257 b. ... JWST Observations of VHS 1256 b 7. calculate a mean image to mitigate the effects of cos-.

14 Feb 2019: 4 becomes. L(θ) cos θσ2i. π/2θ. ie i2. 2σ2i. i2 θ2. ... A simple transformation between. reference frames shows that. cos(dI) = cos(Ib) cos(Ip) sin(Ib) sin(Ip) cos(p b).(9).

22 Mar 2024: b(m)s (α) =2. π. π0. cos(mθ)[1 α2 2α cos θ. ]sdθ, (4). ... B(m)s (α, H) =2. π. π0. cos(mθ). [1α22α cos θH2(1α2). ]sdθ,.

19 Apr 2006: cos. ; ð13Þ. where apl=a, and fs;1, fd, and fi are coefficients corre-sponding to the secular, resonant direct, and resonant indi-rect parts of the disturbing function, respectively. ... The result is. cosm2 : 1. 0:39 0:061=e ; ð26Þ. and these lines

19 Apr 2006: a@ a(1 [ b)/[1 [ 2b(1 ] e cos f )/(1 [ e2)] , (19). ... e@ (1 [ b)1Je2 ] 2be cos f ] b2 , (20)u8 @ [ u8 f [ f @ arctan [b sin f/(b cos f ] e)].

7 Jul 2020: cosI = cos Ib cos Ic sin Ib sin Ic cos (b c). ... thedirection of its angular momentum vector) without knowl-edge of c. In fact, the only unknown is c, which can rangefrom 02π, meaning that cos(b c) can range from -1

27 Jan 2016: 2011):. I (t) = I1(t)I2(t)2|V |. I1(t)I2(t) cos(φ(t))B(t) ,(3). where I1(t) and I2(t) are the individual instantaneousphotometries, |V | is ... I (t)〉 =I1 I2 2|V |. I1I2 〈cos(φ(t))〉 B. =I1 I2 2|V |. I1I2[cos(φ0) 〈cos ǫ(t)〉. sin(φ0) 〈sin

9 Feb 2015: cos ϕ =S2 cos(P2 P1) S1. S21 2S1S2 cos(P2 P1) S22. ... heṙ and cos f =. a(1 e2) rre. ,. (B6)where θ ω f,.

14 Sep 2015: 0.0. 0.5. e cos(ϖ - ϖplt)-0.5 0.0 0.5. A > ϖplt. ... coefficient, such that. b(j)s (α) 1. π. 2π0. cos(jψ)dψ. (1 2α cos ψ α2)s.

5 May 2017: sini sin θ2 sin φ2 cosi cos θ2 =R?/a. (4). Hence eq. ... by. b(ν)s (α)=1π. 2π0. cos(νx)dx(1 2α cos(x)α2)s. α < 1. (10). Eq.

17 Dec 2015: Laplace coefficients aregiven by. b(ν)s (α) =1π. 2π0. cos(νx)dx(1 2α cos( x) α2)s. , ... f 2(L1 L2)2 4L1 L2],. (10). where A = (πa1/21 b.

8 Oct 2013: ΥzzC6{. sin2 i sin (f ω)}. (ΥxxC3 ΥxyC4) {C6 sin cos i C5 cos }. (ΥyxC3 ΥyyC4) {C6 cos cos i C5 sin }]. didt. =equation (A3) ofVeras & Evans. ... ΥxxC3 ΥxyC4) {C8 sin cos i C7 cos } (ΥyxC3 ΥyyC4) {C8 cos cos i C7 sin }]. dfdt. = – dωdt. cos

18 Oct 2014: B. Mennesson1, R. Millan-Gabet2, E. Serabyn1, M. M. Colavita1, O. Absil3, G. ... groups (Figure 4, panels B & E): stars in Group 2 have their observed distribution shifted towards higher.

19 Nov 2009: the original Hippar-cos catalog (HIPgn, Perryman et al. ... 2005); Subasavage et al. (2005a,b);Finch et al. (2007); Henry et al.

14 Jun 2018: transit,. tcross(b = 0) =(. 2R?G M? ) rt/(1+ e cos $). ... rt < 0.31(1+ e cos $) (22). in au, and so rt < 0.62 au.