B  young Mars: R0 5084 km  rho 1166  vt 1.775 km/s  g 1.66  ac 0.62  geff 1.04 m/s2  v_circ 2.90  v_esc 4.10  line 7057 km (1.39 R0)
B  spin vs today: L/L0 12.2 -> loss 92%;  contracting to today's radius keeping L would give a 2.0-h day
E  Deimos: throw 3.19 km/s (total 3.65); lowest point 991 km (surface 5084); speed at top 0.38, circular 1.35; to clear the surface 0.81 (44% of the missing speed)
E  Phobos: throw 2.34 km/s (total 2.94); lowest point 1058 km (surface 5084); speed at top 0.96, circular 2.14; to clear the surface 1.79 (71% of the missing speed)
E  free gas expansion limit ~1.0-1.2 km/s (cited); piston needs 2.3-3.2 km/s radial
A  Phobos: a 9375 km  e 0.0151  i 1.093  period 7.66 h (3.22 per Mars day)  speed 2.137 km/s  V 5740 km3
A  Deimos: a 23463 km  e 0.0003  i 1.79  period 30.31 h (0.81 per Mars day)  speed 1.351 km/s  V 998 km3
A  today's corotation radius 20428 km
D  Pavonis caldera cylinder 47 km x 4.8 km = 8328 km3; moons together 6738 km3
D  Pavonis caldera cylinder 47 km x 5.0 km = 8675 km3; moons together 6738 km3
J  room left for a first plug if both came from the caldera volume: 2588 km3 -> sphere diameter 17.0 km
J  Deimos at exit (sphere diameter -> volume -> share lost by today):
      12.4 km      998 km3  lost    0%  layer removed 0.0 km
      15.0 km     1767 km3  lost   44%  layer removed 1.3 km
      17.6 km     2855 km3  lost   65%  layer removed 2.6 km
      20.0 km     4189 km3  lost   76%  layer removed 3.8 km
      22.2 km     5729 km3  lost   83%  layer removed 4.9 km
      25.0 km     8181 km3  lost   88%  layer removed 6.3 km
F  Deimos: missing speed at the top 0.97 km/s; perfectly coupled ring mass >= 0.72 x body mass
F  Phobos: missing speed at the top 1.17 km/s; perfectly coupled ring mass >= 0.55 x body mass
H  Phobos back-integrated start 3.5 Gyr ago: 18807 km
H  Phobos back-integrated start 3.9 Gyr ago: 19119 km
H  Phobos back-integrated start 4.5 Gyr ago: 19541 km
H  line reaches 19,000 km when the day is 22.1 h
H  Phobos from R 3390 km, day 24.6 h: tangential 0.24, throw 4.55 km/s, at top 0.04 vs circular 1.50; clear surface needs 54% of the missing speed
H  Phobos from R 3600 km, day 22 h: tangential 0.29, throw 4.38 km/s, at top 0.05 vs circular 1.50; clear surface needs 55% of the missing speed
H  Phobos from R 4000 km, day 22 h: tangential 0.32, throw 4.10 km/s, at top 0.07 vs circular 1.50; clear surface needs 57% of the missing speed
H  Deimos tidal recession over 4.5 Gyr with today's Mars: ~154 km (Paper 10)
H  Phobos to 19,000 km from the fast expanded Mars (5 h, 5,084 km): throw 3.07 km/s; at top 0.47 vs circular 1.50; clear surface needs 49%
C  steam at 1200 K: sound speed 0.85 km/s; free expansion into vacuum limit 2c0/(gamma-1) = 5.7 km/s
C  steam at 1500 K: sound speed 0.95 km/s; free expansion into vacuum limit 2c0/(gamma-1) = 6.3 km/s
C  steam at 2000 K: sound speed 1.10 km/s; free expansion into vacuum limit 2c0/(gamma-1) = 7.3 km/s
C  plug 15 km long, 1,500 kg/m3, to 3.19 km/s over a 20-km barrel: mean pressure 5.72 GPa
C  plug 15 km long, 1,500 kg/m3, to 3.19 km/s over a 50-km barrel: mean pressure 2.29 GPa
C  plug 15 km long, 1,500 kg/m3, to 3.19 km/s over a 200-km barrel: mean pressure 0.57 GPa
C  plug 15 km long, 1,500 kg/m3, to 3.07 km/s over a 20-km barrel: mean pressure 5.30 GPa
C  plug 15 km long, 1,500 kg/m3, to 3.07 km/s over a 50-km barrel: mean pressure 2.12 GPa
C  plug 15 km long, 1,500 kg/m3, to 3.07 km/s over a 200-km barrel: mean pressure 0.53 GPa
C  plug 15 km long, 1,500 kg/m3, to 2.34 km/s over a 20-km barrel: mean pressure 3.08 GPa
C  plug 15 km long, 1,500 kg/m3, to 2.34 km/s over a 50-km barrel: mean pressure 1.23 GPa
C  plug 15 km long, 1,500 kg/m3, to 2.34 km/s over a 200-km barrel: mean pressure 0.31 GPa
C  lithostatic pressure at 20 km in the expanded Mars (rho 3000, g 1.0): 0.06 GPa
I  to start at a 5-h day with radius ~5483 km, about 20% of the starting mass must leave through the line

--- v2 ---
E  Deimos, ring height: to 15000 km throw 2.89 km/s; top 0.60, circular 1.69; lowest point 1015 km; ring >= 0.64 body mass; pressure 20/50/200 km barrel 4.7/1.9/0.47 GPa
E  Deimos, lower: to 12000 km throw 2.67 km/s; top 0.75, circular 1.89; lowest point 1032 km; ring >= 0.60 body mass; pressure 20/50/200 km barrel 4.0/1.6/0.40 GPa
E  Phobos, braked: to 11000 km throw 2.57 km/s; top 0.82, circular 1.97; lowest point 1040 km; ring >= 0.58 body mass; pressure 20/50/200 km barrel 3.7/1.5/0.37 GPa
E  Phobos, lower: to 10000 km throw 2.44 km/s; top 0.90, circular 2.07; lowest point 1050 km; ring >= 0.56 body mass; pressure 20/50/200 km barrel 3.3/1.3/0.33 GPa
E  Deimos straight: to 23463 km throw 3.19 km/s; top 0.38, circular 1.35; lowest point 990 km; ring >= 0.72 body mass; pressure 20/50/200 km barrel 5.7/2.3/0.57 GPa
G.2 Deimos lost 30%: exit 1,429 km3; constant-mass climb 15,000->23,463 km at x10 dissipation: 939 Myr
G.2 Deimos lost 50%: exit 2,000 km3; constant-mass climb 15,000->23,463 km at x10 dissipation: 671 Myr
G.2 Deimos lost 60%: exit 2,500 km3; constant-mass climb 15,000->23,463 km at x10 dissipation: 537 Myr
G.3 Phobos (5,800 km3) climb 11,000->19,000 km at x8/x20: 60/24 Myr (young radius)
G.3 line at 11000 km when the day is 9.7 h
G.3 line at 15000 km when the day is 15.5 h
G.3 line at 19000 km when the day is 22.1 h
G.3 line at 20428 km when the day is 24.6 h
J.1 Deimos at 15000 km: period 15.5 h, speed 1.69 km/s
J.1 Deimos at 23463 km: period 30.3 h, speed 1.35 km/s
K.1 Phobos 1% loss: layer 37 m
C.4 Coriolis on a plug rising at 2.57 km/s: 1.79 m/s2
C.4 Coriolis on a plug rising at 2.89 km/s: 2.02 m/s2
C.4 net gravity 1.04 m/s2 over a 20-km barrel adds 0.5% to the work for 2.89 km/s
C.4 net gravity 1.04 m/s2 over a 50-km barrel adds 1.2% to the work for 2.89 km/s
C.4 net gravity 1.04 m/s2 over a 200-km barrel adds 5.0% to the work for 2.89 km/s
K.3 Stickney impactor 2 km at 1 km/s slows Phobos by 0.79 m/s
C.6 path 20 km: Deimos 4.70, Phobos 3.72 GPa; confining mean 0.03, base 0.05 GPa
C.6 path 50 km: Deimos 1.88, Phobos 1.49 GPa; confining mean 0.07, base 0.13 GPa
C.6 path 100 km: Deimos 0.94, Phobos 0.74 GPa; confining mean 0.13, base 0.26 GPa
C.6 path 200 km: Deimos 0.47, Phobos 0.37 GPa; confining mean 0.26, base 0.52 GPa
C.6 path 300 km: Deimos 0.31, Phobos 0.25 GPa; confining mean 0.39, base 0.78 GPa
C.8 Deimos: kinetic energy 1.3e+22 J; steam (3e6 J/kg, 40%) 1.0e+16 kg
C.8 Phobos: kinetic energy 3.6e+22 J; steam (3e6 J/kg, 40%) 3.0e+16 kg
C.7 200-km path: 138 s, mean acceleration 21 m/s2
