{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Live Calc","Eclipse Duration"],"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":50,"n_cols":7,"rows_kept":50,"cut":false,"hidden":false,"merged":[[0,4,0,6],[8,0,9,0],[14,0,15,0],[8,4,9,4],[12,4,13,4]]}
["Figure 14-23. Eclipse Duration vs. Date for SCS Spacecraft Over One Year",null,null,null,"Constants and Conversion Factors"]
["Implemented by Anthony Shao, Microcosm. Contact: bookproject@smad.com",null,null,null,"Earth's Radius",6378.1365999999998,"km"]
["Version 1. August 4, 2011. copyright, 2011, Microcosm, Inc.",null,null,null,"μEarth",398600.43560000003,"km3/s2"]
["See text for discussion.",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)",0,"deg",null,"Start Date"]
[null,{"$f":"IF(B9=\"synch\",ACOS(0.9856*(1-B11^2)^2/((3600*24*180/PI())*-1.5*#REF!*#REF!*(F2/B14)^2))*180/PI(),B9)","v":0},"deg"]
["Eccentricity, e",{"$f":"(B13+F2)/B14-1","v":0},null,null,"2012-01-01"]
["Perigee Altitude, Hp",21000,"km"]
["Apogee Altitude, Ha",21000,"km",null,"Ascending Node Local Time at Start"]
["Semi-major axis, a",{"$f":"(2*F2+B12+B13)/2","v":27378.136599999998},"km"]
["Orbit Period",{"$f":"SQRT(B14^3/F3)*2*PI()","v":45083.415741324374},"sec",null,"22:30:00"]
[null,{"$f":"B15/60","v":751.39026235540621},"min"]
["Mean Motion, n",{"$f":"SQRT(F3/B14^3)","v":1.3936799605492826E-4},"rad/s"]
["Node Rate",{"$f":"(3600*24*180/PI())*-1.5*B17*F4*(F2/B14)^2*COS(B10*PI()/180)/(1-B11^2)^2","v":-6.0806584134520912E-2},"deg/day"]
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["Note: If the figure is not working, make sure Macros is enabled"]

{"sheet":"Eclipse Duration","index":1,"n_rows":372,"n_cols":8,"rows_kept":372,"cut":false,"hidden":false,"merged":[]}
[]
[null,null,"Start Date","Ascending Node Local Time at Start","Orbit Precession Rate (deg/day)","Orbit Normal Declination (deg)"]
[null,null,{"$f":"'Live Calc'!E11","v":"2012-01-01"},{"$f":"'Live Calc'!E15","v":"22:30:00"},{"$f":"'Live Calc'!B18","v":-6.0806584134520912E-2},{"$f":"90-'Live Calc'!B10","v":90}]
[]
["Date","Right Ascension, RA (hrs)","Declination (deg)","Distance (AU)","Orbit Normal Right Ascension (hrs)","Beta Angle, β  (deg)","cos(ρ*)/cos(β)","Eclipse Duration (minutes)"]
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["*ρ is the angular radius of the earth as seen from the spacecraft"]