force per unit mass


F2(x) vector-valued function representing equations in a constrained optimization problem (A.2.1) F3(x) vector-valued function representing inequalities in a constrained optimization problem (A.2.1)

f focal length of the spectrograph camera 50 f fill-out parameter (3.1.1o1)

fj fill-out factor of component j 112 f (x) continuous real-valued objective function in an optimization problem (A.1.1)

f mass function f (M1, M2, i) (4.4.33) f optimal objective function value of a nonlinear optimization problem (4.1.12)

G gravity constant; G = 6.673 ■ 10-11 m3kg-1s-2 96 g exponent in gravity-brightening law as expressed in terms of bolometric flux (3.2.13)

g surface gravity acceleration (3.2.11)

g vector of surface gravity acceleration (3.2.10)

g0 solar surface acceleration; g0 = 2.74 ■ 102m ■ s-2 (4.4.21)

H(x) Hessian matrix of a real-valued function (A.1.7)

h Planck's constant; h = 6.62608 ■ 10-34 J ■ s 55

I local monochromatic intensity 119 i orbital inclination; angle between orbital plane and plane-of-sky

(angular degree) 83

J(x) Jacobian matrix of a vector-valued function (A.1.6)

j referring to component j of the binary system if used as subscript xxxv k Boltzmann's constant; k = 1.3807 ■ 10-23 J ■ K-1 120

k ratio of radii, k = rs/rg in Russell-Merrill notation 91

k refering to iteration k in an iterative algorithm if used as subscript 354 ljp normalized monochromatic luminosity of component j in passband p, p e U, B, V, u, b, v, y, ljp = Ljp/(L 1 p + L2p) 24 I system light received (observable radiation flux in a given passband in energy/time/area), often normalized in some way (3.2.50)

ID system light received by observer at distance D (3.2.51)

I j light received from component j (3.2.48) l3 third light, sum of all contributions to I from any systems parts beyond the binary pair (usually assumed to be constant) 132 L bolometric luminosity (radiant power in Watts or L0, over 4n steradians, units could be W/micron or L 0) (4.4.24) Lj monochromatic luminosity (in a specified passband) of component j over 4n steradians 286

Lp inner Lagrangian point 109

Lp outer Lagrangian point 110

M binary system mass (in units of M0); M = M1 + M2 (4.4.17)


absolute visual magnitude



solar mass, M0 = 1.9891 ■ 1030 kg

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