{"text_format":"1","workbook":"xlsx","n_sheets":16,"sheets":["cover","VO ORBITA CADUTA( 4 anni)","VO ORBITA CADUTA (16 anni)","VO ORBITA CIRCOLARE","VO REALE","VO > VO reale","VO= VII ORBITA PARABOLICA","VO> VII IPERBOLICA","VO = 0","SOLUZIONE ANALITICA  V0 = 0","DAI PLOT SINTESI ORBITE","ORBITE E CONFRONTO","ZONE ORBITALI","VI E VII","COMETA CHE RALLENTA","disegni"],"not_rendered":{"charts":18,"images":6,"macros":1,"external_links":0,"defined_names":0,"comments":2,"pivot_tables":0},"unopened":[{"sheet":"ORBITE E CONFRONTO","index":11,"reason":"not_a_worksheet"}],"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"}

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[null,null,"SOLE E TERRA"]
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[null,null,"Autore: Hume"]

{"sheet":"VO ORBITA CADUTA( 4 anni)","index":1,"n_rows":1219,"n_cols":20,"rows_kept":1219,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)"]
[null,null,null,null,null,null,null,6,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J"]
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[null,null,{"$f":"MAX(C19:C3000)","v":147098074000},55507071993.46125,65202.850179526125,23194.369911858201,105246.2509536959,147098074000,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":-4.7184389287636287E+33},"J","--->> ellisse"]
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[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":6.7191749999999998E+32}]
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["MOTO TERRA ATTORNO AL SOLE\""]
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{"sheet":"VO ORBITA CADUTA (16 anni)","index":2,"n_rows":4019,"n_cols":20,"rows_kept":4019,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)"]
[null,null,null,null,null,null,null,16,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J"]
["xterra (m)","yterra (m)","vx terra (m/s)","vy terra (m/s)","massasole  (kg)","tf (g)","NSTEP",null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg",null,null,null,null,"Ec",{"$f":"0.5*L4*D4^2","v":6.7191749999999998E+32},"J"]
[{"$f":"147098074000","v":147098074000},0,0,15000,1.9890999999999999E+30,{"$f":"365*H2","v":5840},{"$f":"200*H2","v":3200},null,null,null,"m=massa Terra",5.9726E+24,"kg",null,null,null,null,"Ec",{"$f":"SUM(S2:S3)","v":-4.7184389287636287E+33},"J"]
[]
[]
[]
[]
[]
[null,null,{"$f":"MAX(C19:C3219)","v":147098074000},55507071993.46125,80607.096895791678,59182.137634107239,105246.2509536959,147098074000,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":-4.7184389287636287E+33},"J","--->> ellisse"]
[null,null,{"$f":"MIN(C19:C3219)","v":-21678275484.460049},{"$f":"MIN(D19:D3219)","v":-54432609788.448738},{"$f":"MIN(E19:E3219)","v":-63221.234824121995},{"$f":"MIN(F19:F3219)","v":-105107.28213911215},{"$f":"MIN(G19:G3219)","v":15000},{"$f":"MIN(H19:H385)","v":20946463046.288803},"dmin"]
[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":6.7191749999999998E+32}]
[]
["MOTO TERRA ATTORNO AL SOLE\""]
[]
[]
[]
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{"sheet":"VO ORBITA CIRCOLARE","index":3,"n_rows":385,"n_cols":20,"rows_kept":385,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)"]
[null,null,null,null,null,null,null,null,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J"]
["xterra (m)","yterra (m)","vx terra (m/s)","vy terra (m/s)","massasole  (kg)","tf (g)","NSTEP",null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg",null,null,null,null,"Ec",{"$f":"0.5*L4*D4^2","v":2.6951782143818143E+33},"J"]
[{"$f":"147098074000","v":147098074000},0,0,30041.874437702922,1.9890999999999999E+30,356.08,100,null,null,null,"m=massa Terra",5.9726E+24,"kg",null,null,null,null,"E",{"$f":"SUM(S2:S3)","v":-2.6951782143818143E+33},"J"]
[]
[]
[]
[]
[]
[null,null,{"$f":"MAX(C19:C385)","v":147098074000},147098034944.47232,30041.884278589572,30041.876997956992,30041.890403398724,147098074000,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":-2.6951782143818143E+33},"J","--->> ellisse",null,null,null,"Ep/Ec",{"$f":"S2/S3","v":-2}]
[null,null,{"$f":"MIN(C19:C385)","v":-147097989870.24286},-147098016327.67828,-30041.881770726151,-30041.890330470236,30041.874437702922,147097989196.37573,"dmin"]
[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":2.6951782143818143E+33}]
[]
["MOTO TERRA ATTORNO AL SOLE\""]
[]
[]
[]
["step","t(giorni)","xterra","yterra","vxterra","vyterra","vterra","distanza","angolo","E",null,null,null,null,null,null,"(x,y) sole"]
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{"sheet":"VO REALE","index":4,"n_rows":385,"n_cols":20,"rows_kept":385,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)",null,null,null,null,"giorno 1 = Perielio ( 3 gennaio 2018)"]
[null,null,null,30287,null,null,null,null,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3904690767507251E+33},"J"]
["xterra (m)","yterra (m)","vx terra (m/s)","vy terra (m/s)","massasole  (kg)","tf (g)","NSTEP",null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg",null,null,null,null,"Ec",{"$f":"0.5*L4*D4^2","v":2.7406426427351321E+33},"J"]
[{"$f":"147095000000","v":147095000000},0,0,30294.2,1.9890999999999999E+30,365.25636300399998,100,null,null,null,"m=massa Terra",5.9726E+24,"kg",null,null,null,null,"Ec",{"$f":"SUM(S2:S3)","v":-2.649826434015593E+33},"J"]
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[null,null,{"$f":"MAX(C19:C385)","v":147095000000},149573183516.44797,29779.640838862935,30294.202088248745,30294.202121300907,152136225181.2536,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":-2.649826434015593E+33},"J","--->> ellisse",null,null,null,{"$f":"G10*3.6","v":109059.12763668326},null,{"$f":"S3/S2","v":-0.50842377605978972}]
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[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":2.7406426427351321E+33}]
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["MOTO TERRA ATTORNO AL SOLE\""]
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{"sheet":"VO > VO reale","index":5,"n_rows":419,"n_cols":20,"rows_kept":419,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)"]
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[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":3.31617759770951E+33}]
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["MOTO TERRA ATTORNO AL SOLE\"",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"C10-C11","v":382256097749.28888},"m"]
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{"sheet":"VO= VII ORBITA PARABOLICA","index":6,"n_rows":1219,"n_cols":20,"rows_kept":1219,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)"]
[null,null,null,null,null,null,null,6,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J"]
["xterra (m)","yterra (m)","vx terra (m/s)","vy terra (m/s)","massasole  (kg)","tf (g)","NSTEP",null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg",null,null,null,null,"Ec",{"$f":"0.5*L4*D4^2","v":5.3903564287636285E+33},"J"]
[{"$f":"147098074000","v":147098074000},0,0,{"$f":"'VI E VII'!J27","v":42485.626268909073},1.9890999999999999E+30,{"$f":"365*H2","v":2190},{"$f":"200*H2","v":1200},null,null,null,"m=massa Terra",5.9726E+24,"kg",null,null,null,null,"Ec",{"$f":"SUM(S2:S3)","v":0},"J"]
[]
[]
[]
[]
[]
[null,null,{"$f":"MAX(C19:C3000)","v":147098074000},1210345089763.5972,0,42485.626268909073,42485.626268909073,2636824136682.8955,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":0},"J","--->> ellisse"]
[null,null,{"$f":"MIN(C19:C3000)","v":-2342628073655.4502},0,-21242.542714201609,2370.1052755911364,10034.711555311898,147098074000,"dmin"]
[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":5.3903564287636285E+33}]
[]
["MOTO TERRA ATTORNO AL SOLE\""]
[]
[]
[]
["step","t(giorni)","xterra","yterra","vxterra","vyterra","vterra","distanza","angolo","E",null,null,"T","U",null,null,"(x,y) sole"]
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{"sheet":"VO> VII IPERBOLICA","index":7,"n_rows":1219,"n_cols":20,"rows_kept":1219,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)"]
[null,null,null,null,null,null,null,6,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J"]
["xterra (m)","yterra (m)","vx terra (m/s)","vy terra (m/s)","massasole  (kg)","tf (g)","NSTEP",null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg",null,null,null,null,"Ec",{"$f":"0.5*L4*D4^2","v":6.5223312788039918E+33},"J"]
[{"$f":"147098074000","v":147098074000},0,0,{"$f":"'VO= VII ORBITA PARABOLICA'!D4*1.1","v":46734.188895799984},1.9890999999999999E+30,{"$f":"365*H2","v":2190},{"$f":"200*H2","v":1200},null,null,null,"m=massa Terra",5.9726E+24,"kg",null,null,null,null,"Ec",{"$f":"SUM(S2:S3)","v":1.1319748500403633E+33},"J"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"iperbole"]
[]
[]
[]
[]
[null,null,{"$f":"MAX(C19:C3000)","v":147098074000},3347853089647.9434,0,46734.188895799984,46734.188895799984,4391362593419.2974,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":1.1319748500403633E+33},"J","--->> ellisse"]
[null,null,{"$f":"MIN(C19:C3000)","v":-2841820739775.29},0,-19311.639630022524,14925.224811812053,20964.71386612135,147098074000,"dmin"]
[null,null,"CONCLUSIONE: SIMULAZIONE QUASI PERFETTA .AUMENTANDO GLI STEPS I RISULTATI NON CAMBIANO",null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":6.5223312788039918E+33}]
[]
["MOTO TERRA ATTORNO AL SOLE\""]
[]
[]
[]
["step","t(giorni)","xterra","yterra","vxterra","vyterra","vterra","distanza","angolo",null,null,null,null,null,null,null,"(x,y) sole"]
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{"sheet":"VO = 0","index":8,"n_rows":1021,"n_cols":20,"rows_kept":1021,"cut":false,"hidden":false,"merged":[]}
["GRAVITAZIONE - TERRA(1) E SOLE(2)",null,null,null,null,"giorno 1 = Perielio ( 3 gennaio 2010)"]
[null,null,null,null,null,null,null,null,null,null,"kg= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2",null,null,null,null,"Ep",{"$f":"-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J"]
["xterra (m)","yterra (m)","vx terra (m/s)","vy terra (m/s)","massasole  (kg)","tf (g)","NSTEP",null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg",null,null,null,null,"Ec",{"$f":"0.5*L4*D4^2","v":0},"J"]
[{"$f":"147098074000","v":147098074000},0,0,0,1.9890999999999999E+30,62.88,1000,null,null,null,"m=massa Terra",5.9726E+24,"kg",null,null,null,null,"Ec",{"$f":"SUM(S2:S3)","v":-5.3903564287636285E+33},"J"]
[]
[]
[]
[]
[]
[null,null,{"$f":"MAX(C19:C385)","v":147098074000},0,0,0,12938.452855225152,147098074000,"dmax",null,"E0",{"$f":"0.5*L4*D4^2-L2*L3*L4/A4","v":-5.3903564287636285E+33},"J","--->> ellisse"]
[null,null,{"$f":"MIN(C19:C1019)","v":2691141970.4601603},0,-311584.58804936748,0,0,2691141970.4601603,"dmin"]
[null,null,null,null,null,null,null,null,null,null,null,{"$f":"0.5*L4*D4^2","v":0}]
[]
["MOTO TERRA ATTORNO AL SOLE\""]
[]
[]
[]
["step","t(giorni)","xterra","yterra","vxterra","vyterra","vterra","distanza","angolo","Acc","E",null,null,null,null,null,"(x,y) sole"]
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{"sheet":"SOLUZIONE ANALITICA  V0 = 0","index":9,"n_rows":1006,"n_cols":20,"rows_kept":1006,"cut":false,"hidden":false,"merged":[]}
[]
[null,"SOLUZIONE ANALITICA CASO V0 = 0"]
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[null,{"$f":"'VO> VII IPERBOLICA'!C243","v":-464481092023.80011},null,null,null,null,null,{"$f":"'VO> VII IPERBOLICA'!D243","v":903094519350.31152}]
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[null,{"$f":"'VO> VII IPERBOLICA'!C245","v":-469893966783.62006},null,null,null,null,null,{"$f":"'VO> VII IPERBOLICA'!D245","v":908951370935.63794}]
[null,{"$f":"'VO> VII IPERBOLICA'!C246","v":-472598228505.76678},null,null,null,null,null,{"$f":"'VO> VII IPERBOLICA'!D246","v":911875584575.00354}]
[null,{"$f":"'VO> VII IPERBOLICA'!C247","v":-475301050395.86249},null,null,null,null,null,{"$f":"'VO> VII IPERBOLICA'!D247","v":914797020053.58447}]

{"sheet":"ZONE ORBITALI","index":12,"n_rows":34,"n_cols":16,"rows_kept":34,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,0,null,10,null,20,null,30,null,40,null,null,null,null,"∞","Km/s"]

{"sheet":"VI E VII","index":13,"n_rows":28,"n_cols":16,"rows_kept":28,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,"VELOCITA' MINIMA ( ORBITA CIRCOLARE) = PRIMA VELOCITA' COSMICA",null,null,null,null,null,null,null,null,null,"G= costante gravitazione universale",6.6742799999999995E-11,"N*m^2/kg^2"]
[null,null,null,null,null,null,null,null,null,null,null,"M= massa Sole",1.9890999999999999E+30,"kg"]
[null,null,null,null,null,null,null,null,null,null,null,"r = distanza Sole_Terra",{"$f":"147098074000","v":147098074000},"m/s","al Perielio( distanza minima)"]
[null,null,null,null,null,null,null,null,null,null,null,"r = distanza Sole_Terra",152097597098.02353,null,"all'Afelio ( distanza massima)"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,{"$f":"SQRT($M$3*$M$4/$M$5)","v":30041.874437702922},"m/s","al Perielio( distanza minima)",null,null,{"$f":"J10*3.6","v":108150.74797573053},"km/h"]
[null,null,null,null,null,null,null,null,null,{"$f":"SQRT($M$3*$M$4/$M$6)","v":29544.003313892914},"m/s","all'Afelio ( distanza massima)",null,null,{"$f":"J11*3.6","v":106358.4119300145},"km/h"]
[]
[]
[]
[]
[]
[]
[null,"VELOCITA' DI FUGA DELLA TERRA DAL SOLE  = SECONDA VELOCITA' COSMICA"]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,"ve = velocità di fuga(escape velocity)",{"$f":"SQRT(2*$M$3*$M$4/$M$5)","v":42485.626268909073},"m/s","al Perielio( distanza minima)",null,null,{"$f":"J27*3.6","v":152948.25456807268},"km/h"]
[null,null,null,null,null,null,null,null,null,{"$f":"SQRT(2*$M$3*$M$4/$M$6)","v":41781.530173303021},"m/s","all'Afelio ( distanza massima)",null,null,{"$f":"J28*3.6","v":150413.50862389087},"km/h"]

{"sheet":"COMETA CHE RALLENTA","index":14,"n_rows":32,"n_cols":20,"rows_kept":32,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,"IPOTESI COMETA CHE RALLENTA LA TERRA "]
[null,"PER IMPATTO AL PERIELIO"]
[]
[]
[null,"La velocità reale al perielio è solo 1% superiore alla velocità dell'orbita circolare."]
[null,"Potrebbe un urto contro un corpo cosmico ( grandissimo meteorite o cometa) ridurre dell' 1% la velocità della Terra?"]
[null,"Basta fare un bilancio di quantità di moto Terra-cometa che probabilmente evidenzia che non esistono asteroidi o comete dotate di tale quantità di moto."]
[]
[]
[]
[null,"Cometa di Halley"]
[null,"UA",{"$f":"149598000000","v":149598000000},"m","distanza Terra-Sole"]
[null,"m",220000000000000,"kg","massa cometa"]
[null,"periodo",75,"anni",{"$f":"C16*3600*24*365","v":2365200000},"s",null,null,null,null,null,null,null,null,null,null,null,null,null,"mc"]
[null,"semiasse",{"$f":"(0.586+35.082)/2","v":17.834},"ua",{"$f":"C17*C14","v":2667930732000},"m"]
[null,"r = dist perielio",{"$f":"0.586*C14","v":87664428000},"m","distanza min Sole-Halley (perielio)"]
[null,"G*M",{"$f":"'VO REALE'!L3*'VO REALE'!L2","v":1.3275810347999999E+20},"m","costante equazione a lato"]
[null,"vmax",{"$f":"SQRT(C19*(2/C18-1/E17))","v":54580.386795955106},"m/s","velocità max Halley ( rispetto al Sole)",null,null,null,null,null,null,null,null,null,null,null,null,null," Vc"]
[null,"En. Cinetica",{"$f":"0.5*C15*C20^2","v":3.2769204850756779E+23},"J"]
[]
[]
[null,"Ipotesi cometa che rallenta la Terra al Perigeo"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null," V0"]
[null,"m",5.9726E+24,"kg","massa Terra"]
[null,"mc",{"$f":"220000000000000","v":220000000000000},"kg","massa cometa Halley"]
[null,"ϑ= m/mc",{"$f":"C26/C27","v":27148181818.18182},"adim","rapporto massa Terra/Halley"]
[null,"α",0.99,"adim","frazione rallentamento Vo",null,null,null,null,null,null,null,null,null,null,null,null,null,null,"     m"]
[null,"Vc/V0",{"$f":"C28*(C29-1)","v":-271481818.18181843},"adim","rapporto velocità"]
[null,"V0",{"$f":"'VO REALE'!D4","v":30294.2},"m/s","vel max Terra (perielio)"]
[null,"Vc",{"$f":"C30*C31","v":-8224324496363.6436},"m/s","velocità cometa necessaria per riduzione V0 ipotizzata",null,null,null,null,null,"( il valore è negativo perché diretto in senso opposto all' asse y)"]

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[null,null,null,null,null,null,null,"         Moto della Terra attorno al Sole "]