{"text_format":"1","workbook":"xlsx","n_sheets":4,"sheets":["Sheet1","自転の遅れ","Sheet2","経緯度表"],"not_rendered":{"charts":1,"images":1,"macros":1,"external_links":0,"defined_names":0,"comments":0,"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":"Sheet1","index":0,"n_rows":109,"n_cols":14,"rows_kept":109,"cut":false,"hidden":false,"merged":[[63,2,63,3],[57,2,57,3]]}
[]
[]
[null,"地球～太陽の距離計算"]
[]
[null,"1.計算式"]
[null,"地球から太陽までの中心距離は”日の出・日の入りの計算”（長沢　工　著）ｐ.71に示される"]
[null,"次の計算式により求めることとができる。ただし、この計算式は日本時間に適用するものである。"]
[null,null,"m","n"]
[null,null,7.2560000000000003E-3,-1.9999999999999999E-7,null,"1AU=1.4959781×108km"]
[]
[null,"a(1)=","（m+n・T)"]
[]
[null,"i","a(i)","b(i)","c(i)"]
[null,1,"a(1)",267.54000000000002,359.99099999999999]
[null,2,9.1000000000000003E-5,265.10000000000002,719.98]
[null,3,3.0000000000000001E-5,90,0]
[null,4,1.2999999999999999E-5,27.8,4452.67]
[null,5,6.9999999999999999E-6,254,450.4]
[null,6,6.9999999999999999E-6,156,329.6]
[]
[null,"q =","Σa(i)・sin(b(i)+c(i)・T)"]
[]
[null,"r =","10q"]
[]
[null,"2.データ入力"]
[]
[null,null,null,"年","月","日","時"]
[null,null,null,"Y","M","D","H"]
[null,null,"計算年月日",2009,12,31,0]
[null,null,"(世界時）",2009,1,1,0]
[null,null,"基準年は2000年1月1日0時であるが、データ入力ではこのことを気にすることなく"]
[null,null,"日常的に使用する年月日（西暦）を入力する。"]
[]
[]
[null,"3.計算結果"]
[null,"K’=","365・Y + 30・M + D - 33.875 + [ 3・（M+1）/ 5 ]+[ Y/ 4 ]"]
[]
[null,"=","365×9 + 30×12 + 31- 33.875 + [ 3×( 12 + 1 )/ 5 ] + [ 9 ]"]
[]
[null,"=",3651.125]
[null,null,null,null,null,null,null,"暦計算に使われた⊿T"]
[null,"⊿K=","H/24",null,null,"年","⊿T（秒）","年","⊿T（秒）","年","⊿T（秒）","年","⊿T（秒）"]
[null,null,null,null,null,1981,51,1986,56,1991,57,1996,62]
[null,"=","0 / 24",null,null,1982,51,1987,56,1992,58,1997,63]
[null,null,null,null,null,1983,52,1988,56,1993,59,1998,63]
[null,"=",0,null,null,1984,53,1989,57,1994,60,1999,64]
[null,null,null,null,null,1985,55,1990,57,1995,61]
[null,"⊿T=","0.704・Dnen-1349.5"]
[null,null,null,null,null,null,"⊿Tの回帰式"]
[null,"=","0.704×2009 -　1349.5",null,null,null,"⊿T=0.704×西暦年-1349.5　（秒）"]
[null,null,null,null,null,null,"R2=0.9737"]
[null,"=",64.835999999999913]
[]
[null,"K=","K’+⊿K+⊿T/86400",null,null,null,null,null,null,null,null,null,"T"]
[null,null,null,null,null,null,null,null,null,null,355.05099999999999,719.98099999999999,-0.13312596600000001,{"$f":"K55+L55*M55","v":259.202833873354}]
[null,"=","3651.1250000 + 0.0000000 + 65 / 86400"]
[]
[null,"=",3651.1257504]
[]
[null,"T=","K/365.25"]
[]
[null,"=","3651.1257504/ 365.25"]
[]
[null,"=",9.9962375096965541]
[]
[null,"q =",-7.3068031328091957E-3]
[]
[null,"r =","10^( -0.00730680 )"]
[]
[null,"=",0.98331620612206871,"(AU)"]
[]
[]
[null,"(3)太陽の赤経α,赤緯δへの換算"]
[]
[null,null,"日の出,日の入りの計算に使用するのは太陽の赤道座標であるから、略算式で算"]
[null,null,"出した黄経λsは赤経,赤緯（α,δ）に換算する必要がある。太陽の黄緯がβ=0で"]
[null,null,"あることを考えると、（3.11）式からただちに"]
[]
[null,null,"tanα=tanλs・cosε"]
[]
[null,null,"sinδ=sinλs・sinε"]
[]
[null,null,"の関係式を求めることができる。ここで、αとλsとはいつも同じ象限にあるので、"]
[]
[]
[null,null,"0°≦　λs　＜180°　のとき　0°≦α＜180°"]
[]
[null,null,"180°≦　λs　＜360°　のとき　180°≦α＜360°"]
[]
[null,null,"となる。換算には黄道傾角εが必要であるが、この計算には上記の時刻変数Tを"]
[null,null,"使って"]
[]
[]
[null,null,"ε=","23.439291-0.000130042・T"]
[]
[null,null,"で計算できる。"]
[]
[null,null,"以上から下記の値が得られる。"]
[]
[]
[null,null,"ε=",23.439308]
[]
[null,null,"tanα=",null,"α="]
[]
[null,null,"sinδ=",null,"δ="]
[]
[]
[]
[null,"(4)恒星時Θ"]

{"sheet":"自転の遅れ","index":1,"n_rows":29,"n_cols":9,"rows_kept":29,"cut":false,"hidden":false,"merged":[]}
[]
[]
[null,"地球自転の遅れ"]
[]
[null,"年","⊿T（秒）"]
[null,1981,51]
[null,1982,51]
[null,1983,52]
[null,1984,53]
[null,1985,55]
[null,1986,56]
[null,1987,56]
[null,1988,56]
[null,1989,57]
[null,1990,57]
[null,1991,57]
[null,1992,58]
[null,1993,59]
[null,1994,60]
[null,1995,61]
[null,1996,62]
[null,1997,63]
[null,1998,63]
[null,1999,64]
[]
[]
[]
[]
[null,null,null,null,null,null,null,null,"0.704*X-1349.5"]

{"sheet":"Sheet2","index":2,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"経緯度表","index":3,"n_rows":4,"n_cols":15,"rows_kept":4,"cut":false,"hidden":false,"merged":[[2,2,2,4],[2,5,2,7],[2,9,2,11],[2,12,2,14]]}
[]
[]
[null,"北海道","経度",null,null,"緯度",null,null,"青森","経度",null,null,"緯度"]
[null,null,"°","’","”","°","’","”",null,"°","’","”","°","’","”"]