The Origin Of Dense Star Clusters By Paul Nethercott Sun Rigel R-136a Dwarf October, 2010

Pismis

Area Probability Australian, Area Probability Australian, Target Radius Search Time, Seconds Search Time Solar Nebulae Volume R= Search area radius, metres r = Orbital radius, metres R= Search area radius, metres r = Orbital radius, metres A = Australia’s surface area, square centimetres P A = Bullseye’s surface area. v = Star’s velocity in space, metres/second T = Seconds M = Stars mass, kilograms P = Nebula density, kilograms/cubic metre V = Volume, cubic metres V= Star’s velocity in space, metres/second T = Seconds R= Target circle radius, metres [1] [2] [3] [4] [5] Solar Nebulae Overlap Ratio R = Orbital radius, metres R 1 = Star 1 radius, metres R 2 = Star 2 radius, metres Binary Stars cannot form if  or  [6]

Solar Nebulae Space Overlap Ratio Solar Space Volume Solar Separation Radius V s = Empty space around a star, cubic metres R c = Clusters radius, metres n = Number of stars in cluster R s = Metres [average] between stars centres Stars cannot form if  or  Solar Nebulas Radius, Overlap Metres [7] Solar Nebulae Radius [8] [10] [11] [12] [9] Star Clusters Volume, Cubic metres R= Radius, metres

The Origin Of Dense Star Clusters Arches Cluster R 136a NGC 3603 Quintuplet Star Cluster SystemsSolarCluster RadiusCubic MetresNebula Intervals NameMassesLight YearsPer StarAU Westerlund 141, E+455, RSGC227, E+4618, RSGC135, E+458, Quintuplet32, E+456, Arches56, E+431, Center56, E+431, NGC , E+431, Trumpler 1443, E+442, Westerlund 237, E+454, Cl , E+455,045.59

The Origin Of The Arches Star Cluster StarsActual RadiusMaximum RadiusOverlap Name AU Million Kms N4 2,5721,0251,547231,431 N1 2,5721,0251,547231,431 N14 2,5721,0251,547231,431 N11 2,5721,0251,547231,431 N9 2,5721,0251,547231,431 N8 2,5721,0251,547231,431 N10 2,5721,0251,547231,431 N7 2,5721,0251,547231,431 N5 2,5721,0251,547231,431 B30 2,5721,0251,547231,431 N6 2,5721,0251,547231,431 B31 2,5501,0251,525228,140 B12 2,4701,0251,445216,172 N12 2,4181,0251,393208,393 B19 2,4161,0251,391208,094 B29 2,4011,0251,376205,850 AR9 2,3541,0251,329198,818 AR6 2,3541,0251,329198,818 B7 2,3181,0251,293193,433 B27 2,3171,0251,292193,283 B2 2,1521,0251,127168,599 B18 2,0951,0251,070160,072 B16 2,0751,0251,050157,080 B14 2,0601,0251,035154,836 B9 2,0531,0251,028153,789 B15 2,0141, ,954 B13 2,0071, ,907 B5 2,0021, ,159 The Problem of overlapping accretion nebulas. Actual observed radius versus maximum allowed radius

The Origin Of NGC 3603 and R 136a The Problem of overlapping accretion nebulas. Actual observed radius versus maximum allowed radius StarStarsCloud RadiusMaximumOverlap ClusterName AURadius, AUAUMillion Kms NGC 3603Ala 2, ,427 NGC 3603Alb 2, ,816 NGC 3603A 2, ,847 NGC 3603B 2, ,795 R 136aA1 3, ,846 R 136aA2 3, ,150

Total Force Needed, Newtons Force Needed Per Second, Newtons Third Star’s Mass, Kilograms Binary Star Formation, Turning Force One Million Kilometres Third Star’s Second Star Turning Time, Seconds Power needed, Watts Distance [Y] with velocity v Orbital Period, Seconds Orbital Velocity, Metres/Second Binary StarsTerminal VelocityCentripetal ForceTurning ForceTurning Time NameMetres/SecondNewtons/SecondTotal NewtonsSeconds Westerlund 20a758, E E+382,071 Pismis 24755, E E+382,081 NGC , E E+381,886 HD , E E+373,543 R 14588, E E+3717,856 Cygnus OB2-B17664, E E+372,364 Wolf Rayet 25182, E E+378,623 DN Cassieopia24, E E+3663,200 WR22254, E E+376,167

Total Turning Force, Newtons Force Per Second, Newtons Third Star’s Mass, Kilograms Hypothetical Third Star, Mass And Size Third Star’s Volume, Cubic Metres Third Star’s Radius, Metres One Million Kilometres Third Star Second Star Binary StarsThird Stars Mass Third Stars RadiusThird Stars Mass NameKilogramsRadius [Kms]Sun = 1 Westerlund 20a8.63E+301,134, E Pismis E+301,131, E NGC E+311,208, E HD E+30793, E R E+29269, E Cygnus OB2-B176.62E+301,039, E Wolf Rayet E+29438, E DN Cassieopia9.26E+27116, E WR229.73E+29548, E

Total Force Needed, Newtons Second Planet’s Mass, Kilograms Binary Star Formation, Explosives Needed TNT, Tri Nitro Toluene Mass Of TNT, Tri Nitro Toluene Kilograms G = G constant = x M = Mass of the primary, kilograms X = Starting orbital radius, metres. Y = Final orbital radius, metres v= Final velocity, meters per seconds Mass Of Uranium Kilograms Force Needed Per Second, Newtons Orbital period, Seconds Power, Watts E = Free fall kinetic energy, Joules E = Orbital kinetic energy, Joules E h = Excess heat energy, Joules Radius explosive sphere Y = Final orbital radius, metres v= Final velocity, meters per seconds Nuclear energy conversion rate Turning Time Second Uranium [13] [14] [15] [16] [17][18] [19] [20] [21] [23] [24] [25] [26]

Binary Star Formation, Hydrostatic Equilibrium Excess Kinetic Energy The Tolman-Oppenheimer-Volkoff Equation Equation of State for Hydrostatic Equilibrium Schwarzschild radius: The Oppenheimer-Volkoff Equation Escape Velocity Gas Molecule Speed Hydrostatic Gas Equilibrium Hydrostatic Gravity Equilibrium Temperature Increase [29] [30] [31] [32] [35] [34] [33] [36] [37]