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Table 1

Structure and physical conditions in the molecular disk in the Red Rectangle derived from our model fitting of the CO data.

Inner disk (r<Rkep) Outer disk (r>Rkep) Outflow
Parameter Law Values Law Values Law Values

Outer radius Rkep = 106 cm Rout = 2.3 × 1016 cm

Thickness linear H(Rkep) = 1.3 × 1016cm constant H = 1.3 × 1016 cm ellipsoidal
H(0) = 6.5 × 1015 cm (see Fig. 8)

Tangential Vt ∝ 1/ Vt(Rkep) = 1.5 km s-1 Vt ∝ 1 /r Vt(Rkep) = 1.5 km s-1
velocity (Keplerian) (central mass: 1.7 M) (ang. mom. cons.)

Expansion 0 km s-1 Vexp(Rkep) = 1.6 km s-1 | Vmax | = 12 km s-1
velocity Vexp(Rout) = 0 km s-1

Temperature T ∝ 1 /rαT T(Rkep) = 80 K T ∝ 1 /rαT T(Rkep) = 95 K Tmax = 500 K
αT = 1 αT = 0.6 αT = 1

Gas density n ∝ 1 /rαn n(Rkep) = 7 × 105 cm-3 n ∝ 1 /rαn n(Rkep) = 2 × 105 cm-3 n(Rkep) = 1.6 × 104 cm-3
αn = 2 αn = 1.5 αn = 2
Other parameters Law Values Comments

Axis inclination from the plane of the sky 5° from optical and CO data

Axis inclination in the plane of the sky (PA) 12.°5 from optical and CO data

Distance 710 pc various arguments (Sect. 1)

12CO relative abundance constant 1.2 × 10-4 this paper
13CO relative abundance constant 1.2 × 10-5 this paper
C17O relative abundance constant 6 × 10-7 this paper

Notes. The fitting of the H13CN line requires the same structure and velocity field but with a peculiar abundance distribution; see Sect. 5.3. The values of the physical conditions depend on three geometrical parameters: the distance to the center, r, the distance to the inner conical boundary of the outflow, pc, and the distance to the equator, h. See Fig. 8 for a scheme of the density and velocity distribution.

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