{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["Calc"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"Calc","index":0,"n_rows":8036,"n_cols":16,"rows_kept":8036,"cut":false,"hidden":false,"merged":[[1,13,1,15],[3,4,3,5],[8,6,8,13],[12,6,12,8],[13,13,14,13],[16,6,16,8]],"flags":["formulas_cached_only"]}
[]
[null,"SuperPressure Balloon float calculator (by Steve Randall)",{"$nulls":7},"Version 1g – 17/11/2020",null,null,null,"Gas Density Table in Kg/cu m"]
[{"$nulls":13},"at 101.325kPa at MSL","0 deg C","15 deg C"]
[null,null,"Chosen Gas","Free Lift","SP balloon",null,"Payload","Gas","Total",null,"Neck","Launch",null,"Hydrogen",0.0899,0.08521933356473446]
[null,"Gas ","Density","(g)"," vol (cu m)","weight (g)","Weight (g)","Mass (g)","Mass (Kg)",null,"Lift (g)","Gas Fill (cu m)",null,"Helium",0.1786,0.16930114543561264]
[null,"Hydrogen",0.08521933356473446,8,0.5,105,10,9.198652358372845,0.12419865235837284,">>>",18,0.1079409093405471,"<<<","Helium 97%",0.21200200000000002,0.20096406178410275]
[{"$nulls":13},"Air",1.292,1.224731690385283]
[]
[null,"System Density at float (Kg/cu m)",null,null,"K",null,"Float",{"$nulls":8},"Atmospheric"]
[null,0.24839730471674568,null,null,0.0379860786069792,null,"Internal Pressure (kPa)",null,"External Pressure (kPa)",null,null,"Temp (deg C)",null,"Altitude (m)",null,"Pressure (kPa)"]
[{"$nulls":6},16.448567039902798,null,15.415443813347974,null,null,-56.46,">>>",13470,"<<<",101.325]
[null,"free lift ratio (see [1])",null,null,"K/V",{"$nulls":8},"(44181.6 ft)"]
[null,0.06441293724279835,null,null,0.0759721572139584,null,"Differential Pressure at float"]
[{"$nulls":6},"(kPa)",null,"(psi)",{"$nulls":4},"Superpressure Onset (m)",null,"Altitude at which the balloon envelope becomes "]
[{"$nulls":5},">>>",1.0331232265548245,null,0.14984212653305864,"<<<",{"$nulls":5},"full, superpressure starts and the ascent rate slows"]
[{"$nulls":12},">>>",13060,"<<<","down into float"]
[{"$nulls":6},"Supper Pressure by [1]",{"$nulls":6},"(42836.8 ft)"]
[null,"Use:",{"$nulls":4},"(kPa)",null,"(psi)"]
[null,null,"Inputs in green cells",null,null,">>>",0.9929540149190672,null,0.14401606441583167,"<<<"]
[null,null,"Results in arrowed pink cells"]
[]
[null,"Inputs:"]
[null,null,"Gas – drop-down of the the type of gas you will use to fill the balloon (Hydrogen/Helium)"]
[null,null,"Free Lift – desired free lift – sets the amount of gas needed, float differential pressure and altitude"]
[null,null,"SP balloon vol. – the volume of the balloon (or total volume if multiple balloons) that you will be using"]
[null,null,"SP balloon weight – the weight of the balloon envelope (or total weight if multiple balloons)",{"$nulls":10},"References:"]
[null,null,"Payload weight – weight should include everything that is not included in the balloon weight (so line, tape etc).",{"$nulls":10},"[1] Superpressure Balloons for Horizontal Soundings of the Atmosphere V.E. Lally"]
[]
[null,"Version History:"]
[null,null,"1 – 0-65.5Km in 1m steps (02-02-2011)",{"$nulls":4},"1d – changed so user now enters desired free lift and gas fill becomes an output (20-10-2020)"]
[null,null,"1a – 0 – 100Km in 10m steps (03-02-2011)",{"$nulls":4},"1e – added superpressure calculation as verification.  (see [1])  (20-10-2020)"]
[null,null,"1b – corrected table range lookup (04-02-2011)",{"$nulls":4},"1f – Added Superpressure Onset Calculation, results in ft, NASA model (tropo temp) error corrected (13-11-2020)"]
[null,null,"1c – added 97% Helium as gas choice (10-10-2020)",{"$nulls":4},"1g – Corrected error in External pressure VLOOKUP (17-11-2020)"]
[]
["P/T (kPa/K)","Den (Kg/cu m)","Temp (C)","Pres (kPa)","Alt (m)"]
[1.0484784449744196e-05,3.654508347767235e-05,107.99,0.003995646505953016,80000]
[1.0494980511529848e-05,3.658062220819048e-05,107.96009999999998,0.003999218323221616,79990]
[1.0505187289841188e-05,3.661619829153429e-05,107.93019999999999,0.004002793614085646,79980]
[1.0515404796784022e-05,3.6651811769899e-05,107.90029999999999,0.004006372382196152,79970]
[1.0525633044478803e-05,3.6687462685530856e-05,107.87039999999999,0.0040099546312083074,79960]
[1.0535872045060627e-05,3.672315108072717e-05,107.84049999999999,0.004013540364781418,79950]
[1.0546121810679258e-05,3.675887699783638e-05,107.8106,0.004017129586578923,79940]
[1.055638235349914e-05,3.679464047925807e-05,107.7807,0.0040207223002684,79930]
[1.056665368569942e-05,3.683044156744308e-05,107.7508,0.004024318509521573,79920]
[1.0576935819473964e-05,3.686628030489357e-05,107.7209,0.004027918218014313,79910]
[1.058722876703139e-05,3.690215673416308e-05,107.691,0.00403152142942665,79900]
[1.0597532540595054e-05,3.693807089785659e-05,107.6611,0.004035128147442768,79890]
[1.0607847152403107e-05,3.697402283863056e-05,107.6312,0.004038738375751018,79880]
[1.0618172614708479e-05,3.7010012599193024e-05,107.60130000000001,0.0040423521180439174,79870]
[1.062850893977899e-05,3.70460402223039e-05,107.57139999999998,0.0040459693780181836,79860]
[1.063885613989714e-05,3.7082105750774276e-05,107.54149999999998,0.004049590159374657,79850]
[1.064921422736044e-05,3.7118209227467545e-05,107.51159999999999,0.004053214465818421,79840]
[1.06595832144812e-05,3.7154350695298705e-05,107.48169999999999,0.004056842301058719,79830]
[1.0669963113586632e-05,3.719053019723469e-05,107.45179999999999,0.004060473668808997,79820]
[1.0680353937018866e-05,3.7226747776294416e-05,107.4219,0.0040641085727869,79810]
[1.069075569713496e-05,3.726300347554883e-05,107.392,0.004067747016714275,79800]
[1.070116840630692e-05,3.7299297338121027e-05,107.3621,0.0040713890043171845,79790]
[1.0711592076921727e-05,3.733562940718622e-05,107.3322,0.0040750345393259025,79780]
[1.0722026721381352e-05,3.7371999725971954e-05,107.3023,0.004078683625474926,79770]
[1.0732472352102763e-05,3.7408408337757973e-05,107.2724,0.004082336266502973,79760]
[1.0742928981517966e-05,3.7444855285876494e-05,107.2425,0.004085992466152997,79750]
[1.0753396622073999e-05,3.748134061371209e-05,107.21260000000001,0.00408965222817218,79740]
[1.0763875286233036e-05,3.7517864364702114e-05,107.18269999999998,0.0040933155563119715,79730]
[1.0774364986472202e-05,3.755442658233602e-05,107.15279999999998,0.004096982454328017,79720]
[1.0784865735283823e-05,3.759102731015623e-05,107.12289999999999,0.004100652925980247,79710]
[1.0795377545175357e-05,3.762766659175795e-05,107.09299999999999,0.004104326975032854,79700]
[1.0805900428669367e-05,3.7664344470789015e-05,107.06309999999999,0.004108004605254276,79690]
[1.0816434398303596e-05,3.770106099095015e-05,107.0332,0.004111685820417221,79680]
[1.0826979466630966e-05,3.773781619599501e-05,107.0033,0.00411537062429867,79670]
[1.08375356462196e-05,3.777461012973023e-05,106.9734,0.004119059020679881,79660]
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[1.0858681389529303e-05,3.78483143587637e-05,106.9136,0.004126446606088033,79640]
[1.0869270978462814e-05,3.78852247419408e-05,106.8837,0.00413014580269892,79630]
[1.0879871729082516e-05,3.792217402956611e-05,106.8538,0.0041338486069774725,79620]
[1.0890483654032843e-05,3.795916226571225e-05,106.82390000000001,0.004137555022726409,79610]
[1.0901106765973539e-05,3.7996189494505184e-05,106.79399999999998,0.004141265053752751,79600]
[1.0911741077579727e-05,3.803325576012453e-05,106.76409999999998,0.0041449787038678534,79590]
[1.0922386601541856e-05,3.8070361106803266e-05,106.73419999999999,0.00414869597688737,79580]
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[1.1181276150137891e-05,3.897272969723908e-05,106.01659999999998,0.004239007397701367,79340]
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[1.1730671452668437e-05,4.088766626932184e-05,104.5515,0.004430105670107415,78850]
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[1.176524277941998e-05,4.1008165839735036e-05,104.46179999999998,0.004442106241234811,78820]
[1.1776791010946121e-05,4.104841760524964e-05,104.43189999999998,0.00444611428626541,78810]
[1.1788351493682369e-05,4.108871207278623e-05,104.40199999999999,0.004450126265568082,78800]
[1.1799924241597604e-05,4.112904929103383e-05,104.37209999999999,0.004454142183316755,78790]
[1.1811509268677743e-05,4.1169429308740824e-05,104.34219999999999,0.004458162043690118,78780]
[1.1823106588925764e-05,4.120985217471511e-05,104.3123,0.004462185850871627,78770]
[1.1834716216361716e-05,4.125031793782403e-05,104.2824,0.004466213609049504,78760]
[1.1846338165022761e-05,4.129082664699464e-05,104.2525,0.004470245322416752,78750]
[1.1857972448963182e-05,4.13313783512136e-05,104.2226,0.004474280995171155,78740]
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[1.1881278078985027e-05,4.1412610941042266e-05,104.1628,0.0044823642356565125,78720]
[1.1892949453260818e-05,4.145329192492443e-05,104.1329,0.004486411811806993,78710]
[1.1904633219204817e-05,4.1494016100400194e-05,104.10300000000001,0.0044904633641837145,78700]
[1.1916329390957263e-05,4.153478351675588e-05,104.07309999999998,0.004494518897008463,78690]
[1.1928037982675614e-05,4.15755942233378e-05,104.04319999999998,0.004498578414507825,78680]
[1.1939759008534667e-05,4.161644826955269e-05,104.01329999999999,0.004502641920913236,78670]
[1.1951492482726501e-05,4.1657345704867556e-05,103.98339999999999,0.00450670942046095,78660]
[1.1963238419460526e-05,4.169828657880978e-05,103.95349999999999,0.004510780917392059,78650]
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