{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Live Calc","Beta Angles"],"not_rendered":{"charts":1,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":1,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"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"}

{"sheet":"Live Calc","index":0,"n_rows":44,"n_cols":10,"rows_kept":44,"cut":false,"hidden":false,"merged":[[0,7,0,9],[14,4,14,5],[8,4,9,5],[8,0,9,0],[10,4,10,5],[12,4,13,5]]}
["Table 14-24. FireSat II Beta Angle Over a Year",null,null,null,null,null,null,"Constants and Conversion Factors"]
["Implemented by Anthony Shao, Microcosm. Contact: bookproject@smad.com",null,null,null,null,null,null,"Earth's Radius",6378.1365999999998,"km"]
["Version 1. August 4, 2011. copyright, 2011, Microcosm, Inc.",null,null,null,null,null,null,"μEarth",398600.43560000003,"km3/s2"]
["See text for discussion.",null,null,null,null,null,null,"Geopotential Coefficient, J2",1.08263E-3]
[]
["User Inputs in Orange"]
[]
["Parameter","Input","Units"]
["Inclination, i (input 'synchronous' in cell B9 for a synchronous orbit)",55,"deg",null,"Start Date"]
[null,{"$f":"IF(B9=\"synchronous\",ACOS(0.9856*(1-B11^2)^2/((3600*24*180/PI())*-1.5*B15*I4*(I2/B14)^2))*180/PI(),B9)","v":55},"deg"]
["Eccentricity, e",{"$f":"(B13+I2)/B14-1","v":0},null,null,"2012-01-01"]
["Perigee Altitude, Hp",700,"km"]
["Apogee Altitude, Ha",700,"km",null,"Ascending Node Local Time at Start"]
["Semi-major axis, a",{"$f":"(2*I2+B12+B13)/2","v":7078.1365999999998},"km"]
["Mean motion, n",{"$f":"SQRT(I3/B14^3)","v":1.0602065300768381E-3},"rad/s",null,"22:30:00"]
["Node Rate",{"$f":"(3600*24*180/PI())*-1.5*B15*I4*(I2/B14)^2*COS(B10*PI()/180)/(1-B11^2)^2","v":-3.9695312059061814},"deg/day"]
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["Note: If the figure is not working, make sure Macros is enabled"]

{"sheet":"Beta Angles","index":1,"n_rows":371,"n_cols":6,"rows_kept":371,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Start Date","Ascending Node Local Time at Start","Orbit Precession Rate (deg/day)","Orbit Normal Declination (deg)"]
[null,{"$f":"'Live Calc'!E11","v":"2012-01-01"},{"$f":"'Live Calc'!E15","v":"22:30:00"},{"$f":"'Live Calc'!B16","v":-3.9695312059061814},{"$f":"90-'Live Calc'!B10","v":35}]
[]
["Date","Right Ascension, RA (hrs)","Declination (deg)","Distance (AU)","Orbit Normal Right Ascension (hrs)","Beta Angle, β (deg)"]
[{"$f":"B3","v":"2012-01-01"},{"$f":"SunPosition(A6)","v":18.722294539857231},-23.063212451975904,0.98332112784574766,{"$f":"MOD(B6+C3*24+6,24)","v":23.222294539857231},{"$f":"90-ArcLength(E6,$E$3,B6,C6)","v":3.6536067247579496}]
[{"$f":"A6+1","v":"2012-01-02"},{"$f":"SunPosition(A7)","v":18.795896722232573},-22.983175849717753,0.98330770717080196,{"$f":"MOD((A7-A6)*$D$3/15+E6,24)","v":22.957659126130153},7.187495657319829]
[{"$f":"A7+1","v":"2012-01-03"},{"$f":"SunPosition(A8)","v":18.869409215227794},-22.895499614192701,0.98329939480136852,22.693023712403075,10.598292059529271]
[{"$f":"A8+1","v":"2012-01-04"},{"$f":"SunPosition(A9)","v":18.942823508024695},-22.80022660596342,0.98329619345331754,22.428388298675998,13.868357998694037]
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["2012-01-07",{"$f":"SunPosition(A12)","v":19.162395033915939},-22.469311828264374,0.98331725763955424,21.634482057494765,22.623764499201812]
["2012-01-08",{"$f":"SunPosition(A13)","v":19.235335454993958},-22.344154818015113,0.98333449412712748,21.369846643767687,25.109009359256376]
["2012-01-09",{"$f":"SunPosition(A14)","v":19.308138264638064},-22.211670485335926,0.98335683016249431,21.105211230040609,27.331865789764976]
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["2012-02-08",{"$f":"SunPosition(A44)","v":21.403284227516281},-15.244193721071495,0.98630358334205093,13.16614881822826,-35.992560693227958]
["2012-02-09",{"$f":"SunPosition(A45)","v":21.469742079256608},-14.928698928292548,0.98647240895462507,12.901513404501181,-39.846917991072331]
["2012-02-10",{"$f":"SunPosition(A46)","v":21.535980849218923},-14.609011180820282,0.98664531836142499,12.636877990774101,-43.643586277900681]
["2012-02-11",{"$f":"SunPosition(A47)","v":21.602002604294121},-14.285246141376176,0.98682225614562702,12.372242577047022,-47.355897289277976]
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