package calculator import ( "bufio" "bytes" _ "embed" "fmt" "io" "math" "os" "strconv" "strings" "time" "github.com/hebl/gofa" ) const ( ARC_SECONDS_PER_RADIAN = 206264.80624709636 ) // https://www.iers.org/IERS/EN/DataProducts/EarthOrientationData/eop.html // https://maia.usno.navy.mil/ser7/finals2000A.all type EOPEntry struct { Year int Month int Day int MJD float64 Xp float64 // 弧度 rad Yp float64 // 弧度 rad Dut1 float64 } // https://earth-info.nga.mil/#eopp type EOPP5Line struct { Ta float64 A, B float64 C, D, P [2]float64 E, F float64 G, H, Q [2]float64 Tb float64 I, J float64 K, L, R [4]float64 } type EOPTable struct { URL string Local2000A string EOPs map[float64]*EOPEntry EOPP5Line EOPP5Line UseEOPP5Line bool } var EOP *EOPTable func NewEOPTable() *EOPTable { eop := &EOPTable{ URL: "https://maia.usno.navy.mil/ser7/finals2000A.all", Local2000A: "data/EOP/finals2000A.all", EOPs: make(map[float64]*EOPEntry), UseEOPP5Line: false, // 当天使用 EOPP5Line 预测结果无法通过测试 } return eop } func (eop *EOPTable) Load(eopData []byte, eopp5Line []byte) error { f, err := os.Open(eop.Local2000A) if err != nil { return eop.loadEmbed(eopData, eopp5Line) } defer f.Close() data, err := io.ReadAll(f) if err != nil { return eop.loadEmbed(eopData, eopp5Line) } return eop.loadEmbed(data, eopp5Line) } func (eop *EOPTable) loadEmbed(eopData []byte, eopp5Line []byte) error { reader := bufio.NewReader(bytes.NewReader(eopData)) for { line, _, err := reader.ReadLine() if err == io.EOF { break } if err != nil { return err } var e EOPEntry if err := e.line2EOPEntry(line); err != nil { break } eop.EOPs[e.MJD] = &e } eop.EOPP5Line.parse(eopp5Line) return nil } func (eop EOPTable) Get(mjd float64) (*EOPEntry, bool) { e, ok := eop.EOPs[mjd] if !ok && eop.UseEOPP5Line { xp, yp, dut1 := eop.EOPP5Line.Predict(mjd) e = &EOPEntry{ MJD: mjd, Xp: xp / ARC_SECONDS_PER_RADIAN, Yp: yp / ARC_SECONDS_PER_RADIAN, Dut1: dut1, } ok = true } return e, ok } func (eop EOPTable) GetByUTCTime(utctime time.Time) (*EOPEntry, bool) { var djm0, mjd float64 gofa.Cal2jd(int(utctime.Year()), int(utctime.Month()), int(utctime.Day()), &djm0, &mjd) return eop.Get(mjd) } // https://maia.usno.navy.mil/ser7/readme.finals2000A // The format of the finals2000A.data, finals2000A.daily, and finals2000A.all files is: // Col.# Format Quantity // ------- ------ ------------------------------------------------------------- // 1-2 I2 year (to get true calendar year, add 1900 for MJD<=51543 or add 2000 for MJD>=51544) // 3-4 I2 month number // 5-6 I2 day of month // 7 X [blank] // 8-15 F8.2 fractional Modified Julian Date (MJD UTC) // 16 X [blank] // 17 A1 IERS (I) or Prediction (P) flag for Bull. A polar motion values // 18 X [blank] // 19-27 F9.6 Bull. A PM-x (sec. of arc) // 28-36 F9.6 error in PM-x (sec. of arc) // 37 X [blank] // 38-46 F9.6 Bull. A PM-y (sec. of arc) // 47-55 F9.6 error in PM-y (sec. of arc) // 56-57 2X [blanks] // 58 A1 IERS (I) or Prediction (P) flag for Bull. A UT1-UTC values // 59-68 F10.7 Bull. A UT1-UTC (sec. of time) // 69-78 F10.7 error in UT1-UTC (sec. of time) // 79 X [blank] // 80-86 F7.4 Bull. A LOD (msec. of time) -- NOT ALWAYS FILLED // 87-93 F7.4 error in LOD (msec. of time) -- NOT ALWAYS FILLED // 94-95 2X [blanks] // 96 A1 IERS (I) or Prediction (P) flag for Bull. A nutation values // 97 X [blank] // 98-106 F9.3 Bull. A dX wrt IAU2000A Nutation (msec. of arc), Free Core Nutation NOT Removed // 107-115 F9.3 error in dX (msec. of arc) // 116 X [blank] // 117-125 F9.3 Bull. A dY wrt IAU2000A Nutation (msec. of arc), Free Core Nutation NOT Removed // 126-134 F9.3 error in dY (msec. of arc) // 135-144 F10.6 Bull. B PM-x (sec. of arc) // 145-154 F10.6 Bull. B PM-y (sec. of arc) // 155-165 F11.7 Bull. B UT1-UTC (sec. of time) // 166-175 F10.3 Bull. B dX wrt IAU2000A Nutation (msec. of arc) // 176-185 F10.3 Bull. B dY wrt IAU2000A Nutation (msec. of arc) func (e *EOPEntry) line2EOPEntry(line []byte) error { if len(line) < 68 { return fmt.Errorf("invalid eop line") } e.Year, _ = strconv.Atoi(string(line[0:2])) e.Month, _ = strconv.Atoi(strings.TrimSpace(string(line[2:4]))) e.Day, _ = strconv.Atoi(strings.TrimSpace(string(line[4:6]))) e.MJD, _ = strconv.ParseFloat(string(line[7:15]), 64) e.Xp, _ = strconv.ParseFloat(strings.TrimSpace(string(line[18:27])), 64) e.Yp, _ = strconv.ParseFloat(strings.TrimSpace(string(line[37:46])), 64) e.Xp = e.Xp / ARC_SECONDS_PER_RADIAN e.Yp = e.Yp / ARC_SECONDS_PER_RADIAN e.Dut1, _ = strconv.ParseFloat(strings.TrimSpace(string(line[58:68])), 64) return nil } func (e *EOPP5Line) parse(eopp5Line []byte) error { e.P[0] = 1.0 e.P[1] = 1.0 for i := 0; i < 4; i++ { e.R[i] = 1.0 } reader := bufio.NewReader(bytes.NewReader(eopp5Line)) var lines [][]byte for { line, _, err := reader.ReadLine() if err == io.EOF { break } if err != nil { return err } lines = append(lines, line) } if len(lines) < 5 { return fmt.Errorf("invalid eopp5 lines") } e.Ta, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][0:10])), 64) e.A, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][10:20])), 64) e.B, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][20:30])), 64) e.C[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][30:40])), 64) e.C[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][40:50])), 64) e.D[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][50:60])), 64) e.D[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][60:70])), 64) e.P[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[0][70:76])), 64) e.P[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][0:6])), 64) e.E, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][6:16])), 64) e.F, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][16:26])), 64) e.G[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][26:36])), 64) e.G[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][36:46])), 64) e.H[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][46:56])), 64) e.H[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][56:66])), 64) e.Q[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][66:72])), 64) e.Q[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[1][72:78])), 64) e.Tb, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][0:10])), 64) e.I, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][10:20])), 64) e.J, _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][20:30])), 64) e.K[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][30:40])), 64) e.K[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][40:50])), 64) e.K[2], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][50:60])), 64) e.K[3], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[2][60:70])), 64) e.L[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][0:10])), 64) e.L[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][10:20])), 64) e.L[2], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][20:30])), 64) e.L[3], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][30:40])), 64) e.R[0], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][40:49])), 64) e.R[1], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][49:58])), 64) e.R[2], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][58:67])), 64) e.R[3], _ = strconv.ParseFloat(strings.TrimSpace(string(lines[3][67:76])), 64) return nil } // https://earth-info.nga.mil/php/download.php?file=gnss-eopp func (e *EOPP5Line) Predict(mjd float64) (xp, yp, dut1 float64) { xp = e.A + e.B*(mjd-e.Ta) + e.C[0]*math.Sin(2*math.Pi*(mjd-e.Ta)/e.P[0]) + e.D[0]*math.Cos(2*math.Pi*(mjd-e.Ta)/e.P[0]) + e.C[1]*math.Sin(2*math.Pi*(mjd-e.Ta)/e.P[1]) + e.D[1]*math.Cos(2*math.Pi*(mjd-e.Ta)/e.P[1]) yp = e.E + e.F*(mjd-e.Ta) + e.G[0]*math.Sin(2*math.Pi*(mjd-e.Ta)/e.Q[0]) + e.H[0]*math.Cos(2*math.Pi*(mjd-e.Ta)/e.Q[0]) + e.G[1]*math.Sin(2*math.Pi*(mjd-e.Ta)/e.Q[1]) + e.H[1]*math.Cos(2*math.Pi*(mjd-e.Ta)/e.Q[1]) dut1 = e.I + e.J*(mjd-e.Tb) + e.K[0]*math.Sin(2*math.Pi*(mjd-e.Tb)/e.R[0]) + e.L[0]*math.Cos(2*math.Pi*(mjd-e.Tb)/e.R[0]) + e.K[1]*math.Sin(2*math.Pi*(mjd-e.Tb)/e.R[1]) + e.L[1]*math.Cos(2*math.Pi*(mjd-e.Tb)/e.R[1]) + e.K[2]*math.Sin(2*math.Pi*(mjd-e.Tb)/e.R[2]) + e.L[2]*math.Cos(2*math.Pi*(mjd-e.Tb)/e.R[2]) + e.K[3]*math.Sin(2*math.Pi*(mjd-e.Tb)/e.R[3]) + e.L[3]*math.Cos(2*math.Pi*(mjd-e.Tb)/e.R[3]) return }