从位置和速度计算验证轨道到地心坐标系的旋转矩阵

This commit is contained in:
nuknal
2024-06-13 15:07:15 +08:00
parent ee427949e3
commit cd9a534458
8 changed files with 118 additions and 42 deletions

View File

@@ -1,9 +1,11 @@
package calculator
import (
"fmt"
"math"
"time"
"github.com/sirupsen/logrus"
"gonum.org/v1/gonum/mat"
)
@@ -13,7 +15,7 @@ type IntersectionPoint struct {
H float64
}
func Intersection(q Quaternion, satPos84 []float64, satTime time.Time, ucam int) IntersectionPoint {
func IntersectionAttitude(q Quaternion, satPos84 []float64, satTime time.Time, ucam int) (IntersectionPoint, error) {
// alpha := FOV * math.Pi / 180.0
// alpha = -alpha/2.0 + float64(ucam)*(alpha/float64(PANPixels))
// direction := []float64{0, math.Tan(alpha), -1.3}
@@ -35,12 +37,16 @@ func Intersection(q Quaternion, satPos84 []float64, satTime time.Time, ucam int)
dECEF := []float64{x, y, z}
// -------- 计算与地球表面的交点 --------
intersection := intersectWithEllipsoid(satPos84, dECEF)
intersection, err := intersectWithEllipsoid(satPos84, dECEF)
if err != nil {
return IntersectionPoint{}, err
}
lat, lon, h := ECEFToGeodetic(intersection[0], intersection[1], intersection[2])
return IntersectionPoint{Lat: lat, Lon: lon, H: h}
return IntersectionPoint{Lat: lat, Lon: lon, H: h}, nil
}
func Intersection2(Qsat2orbit, Qorbit2eci Quaternion, satPos84 []float64, satTime time.Time, ucam int) IntersectionPoint {
func IntersectionECI(Qsat2orbit, Qorbit2eci Quaternion, satPos84 []float64, satTime time.Time, ucam int) (IntersectionPoint, error) {
alpha := FOV * math.Pi / 180.0
alpha = -alpha/2.0 + float64(ucam)*(alpha/float64(PANPixels))
direction := []float64{0, math.Tan(alpha), -1.3} // 卫星相机坐标系下CCD成像方向向量
@@ -67,14 +73,18 @@ func Intersection2(Qsat2orbit, Qorbit2eci Quaternion, satPos84 []float64, satTim
dECEF := []float64{x, y, z}
// -------- 计算交点 --------}
intersection := intersectWithEllipsoid(satPos84, dECEF)
intersection, err := intersectWithEllipsoid(satPos84, dECEF)
if err != nil {
return IntersectionPoint{}, err
}
lat, lon, h := ECEFToGeodetic(intersection[0], intersection[1], intersection[2])
return IntersectionPoint{Lat: lat, Lon: lon, H: h}
return IntersectionPoint{Lat: lat, Lon: lon, H: h}, nil
}
// 计算与椭球表面的交点
func intersectWithEllipsoid(p0, d []float64) []float64 {
func intersectWithEllipsoid(p0, d []float64) ([]float64, error) {
a2 := a * a
b2 := b * b
@@ -84,7 +94,8 @@ func intersectWithEllipsoid(p0, d []float64) []float64 {
delta := B*B - 4*A*C
if delta < 0 {
return nil // No intersection
logrus.Error("line of sight: no intersection with ellipsoid")
return nil, fmt.Errorf("line of sight: no intersection with ellipsoid") // No intersection
}
t1 := (-B + math.Sqrt(delta)) / (2 * A)
t2 := (-B - math.Sqrt(delta)) / (2 * A)
@@ -93,5 +104,5 @@ func intersectWithEllipsoid(p0, d []float64) []float64 {
p0[0] + t*d[0],
p0[1] + t*d[1],
p0[2] + t*d[2],
}
}, nil
}