Teob. Note WRE 36
""ben " is the eurla06 IIOmiuivity
B is the ste!,,"-iolt..1UIlI con.tant.
The eminivit)' is' taken to be "th,,$ of ,pW'e tUaoiwn oAidiaed ifey (reference 3),
bence £ .: 0.;5. lind is 1'Oq:bly constant above IcroO~ This value for" 1a
probably ccIIUlena11ve, 10 rtlaul-ce are also given for"· 0.7, O.B.
Substitution of equations {3} and (4) in equation (1), together with appropriale
vllues of the coutenla, yields tbe fonowing diffeTential eq'lIllion for .pnere wall
temperature:
uilrcovereod ill ref81'ilJl0fl 12, (~ original .OIU'QO
is unavaHable)_ 'l'h.1.1' r e~u ,lB are compared with the preliept onei fOf 6 • 0.8
ill f1.cur. 7. It is i1pparcnl that very cU.U.l'.mi ....lu. tor the. init;1I1
tempeTllture of the IIpJ:!.sreI in orbit have been assnmed. bul Ibal the ~1'lC7
1I.peI'a'tv... b'uoriea _ tOUKhly cOlDpamble,
It i& immediately IppaN:nt tpcm ncure 6 Ibat the sphere rr.y be a;NIchd to
1IUrVi.,. re-eutry by den: Crom oirVoilar o rbit ... tbe skin. tlmlporature ~
rCllehes the meltin g temp~rUure, Lt is f elt Ibal II s urface emissivity of al
I=~ ~h! ;:~d t:~~.;:,:.:e~h:~~~~~d:.=~ga~~u~h;~~ :':[o~ee.
tb e 'apeutura at whiBh molU.taB first OtOUfS with this m.aterial. tt is not
ImawD ..... hat ullits were oonneota4 to the bosses, bm tf ... ~ seenJll likely. tbese
'MlrI! oomparatfvely thin pipo, or lI~tural ~ tbcn mellin& of thelie Unite
could quit. eaaily occur o'IiDg to their ~mill1 but oapaoiQ', while tbe nutin
IIpherc remAined aoll4..
Study if Ibe llllter1al 11;;rUOWre IlJ.on Ihilt 'lSllpel'aWr'ea of tbe order of thoie
inMcltaa. r.. figure 6 have been TClchad on tbo outcr Wl'ta... of the ~herlh
However. it seems likely that w:I.\h noh II good he., ooD1uo\tn' u thc aphcre.
alloy. tbe nigh t.IiI:pUnlU'llll would penetrate furtber into the ~ 'lhm Ibe
micro - sDalys;' don. Tbis would appear .... illdiollllO Ihd the liphere _
1111eldeci duritlg at least psrt of tho rll-entry, aud tbat Ifur the shield was
bul'll,t off ~a sphere was subjected to a hea t pulse of .horter d'Clution thin tbat
Indicated in figure!h 'The discovery of the ~eeund sphere 'I) elolc to tbe: 80ullla
Bill is .trong· moano:l9 thai bruk-up of 'the mlIin vehicle stfucture ~ tbe
bulh o<JOlll'l'8d after re-eutry, rather tba.n lit 110m otllZ'U.l' "'.be during Gr'bU. 'l'b.'J
lick of __ 1pIif111Mt: radiation COUllt reponed ·earlier Gould Iiso bll eOQ8trued 16
being d~ HI the sphere being well .hlelded by the splice vehicle structure \Lnlil
laiC i n the orbit life; lIowever, tbe paucity of the radiation eY14anCle, IiIld tbe
ummt:a-m leo&th of limo between re'-cntry lind discovery preclude U'I.It.i:a we;&ht t.1tIs'
given to -th1.. evidence, An aUempt is ba1lli nlIU: to 1Ia.IIWl' Ihls question as tn
whether Of uot the sphere nl shielded 4:tIr1.l!8 pITt d: hs re-entry, by &o\ution of
tb.e equations for 'kmptll's'httt gradient 1lI \b.e akin v.bw i\abjected to the tranJ1811t