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authorDavid A. Madore <david+git@madore.org>2012-03-27 16:08:35 +0200
committerDavid A. Madore <david+git@madore.org>2012-03-27 19:37:08 +0200
commit2ee3f055058d10ec7a50182e102ba0a235878f71 (patch)
tree8f0340e704f6b38bb0c95cb881603bd0ecfc8c7d
parentd64c37f6f24abbfb7e02b8f9ea670a9b5e794f2e (diff)
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Simple matrix library + formula for precession.
-rw-r--r--org/madore/ephem/Comput.java5
-rw-r--r--org/madore/ephem/Frames.java85
-rw-r--r--org/madore/ephem/Precession.java22
-rw-r--r--org/madore/ephem/Smart97.java46
-rw-r--r--org/madore/ephem/smart97-simp.dat392
5 files changed, 111 insertions, 439 deletions
diff --git a/org/madore/ephem/Comput.java b/org/madore/ephem/Comput.java
index dee77f0..214d5e8 100644
--- a/org/madore/ephem/Comput.java
+++ b/org/madore/ephem/Comput.java
@@ -6,6 +6,9 @@ import java.util.Arrays;
public final class Comput {
+ public static final double degree = Math.PI/180;
+ public static final double arcsecond = degree/3600;
+
public static final double ipow(double x, int n) {
if ( n == 0 )
return 1;
@@ -127,7 +130,7 @@ public final class Comput {
public Polynomial(Double[] c) {
this(Arrays.asList(c));
}
- public Polynomial(double[] c) {
+ public Polynomial(double... c) {
this(boxDoubleArray(c));
}
public double v(double t) {
diff --git a/org/madore/ephem/Frames.java b/org/madore/ephem/Frames.java
new file mode 100644
index 0000000..e85412c
--- /dev/null
+++ b/org/madore/ephem/Frames.java
@@ -0,0 +1,85 @@
+package org.madore.ephem;
+
+public final class Frames {
+
+ private static double[] unboxDoubleArray(Double[] c) {
+ double[] unboxed = new double[c.length];
+ for ( int i=0 ; i<unboxed.length ; i++ )
+ unboxed[i] = c[i];
+ return unboxed;
+ }
+
+ public static final class Vector {
+ double[] crd;
+ public Vector(double... crd) {
+ if ( crd.length != 3 )
+ throw new IllegalArgumentException("Vector constructor expects 3 coordinates");
+ this.crd = crd;
+ }
+ public Vector(Double... crd) {
+ this(unboxDoubleArray(crd));
+ }
+ public double dotprod(Vector v) {
+ double res = 0;
+ for ( int i=0 ; i<3 ; i++ )
+ res += crd[i]*v.crd[i];
+ return res;
+ }
+ public double sqnorm() {
+ double res = 0;
+ for ( int i=0 ; i<3 ; i++ )
+ res += crd[i]*crd[i];
+ return res;
+ }
+ }
+
+ public static final class RotationMatrix {
+ double[][] mat;
+ public RotationMatrix(double[][] mat) {
+ if ( mat.length != 3 )
+ throw new IllegalArgumentException("RotationMatrix constructor expects 3 lines");
+ for ( int i=0 ; i<3 ; i++ )
+ if ( mat[i].length != 3 )
+ throw new IllegalArgumentException("RotationMatrix constructor expects 3 columns");
+ this.mat = mat;
+ }
+ private static double[][] matOfVectors(Vector[] vecs) {
+ double[][] mat = new double[vecs.length][];
+ for ( int i=0 ; i<mat.length ; i++ )
+ mat[i] = vecs[i].crd;
+ return mat;
+ }
+ public RotationMatrix(Vector... vecs) {
+ this(matOfVectors(vecs));
+ }
+ public Vector apply(double[] v) {
+ double out[] = new double[3];
+ for ( int i=0 ; i<3 ; i++ )
+ for ( int j=0 ; j<3 ; j++ )
+ out[i] += v[j]*mat[j][i];
+ return new Vector(out);
+ }
+ public Vector apply(Vector v) {
+ return apply(v.crd);
+ }
+ public RotationMatrix apply(RotationMatrix mv) {
+ return new RotationMatrix(this.apply(mv.mat[0]), this.apply(mv.mat[1]), this.apply(mv.mat[2]));
+ }
+ public static RotationMatrix rotx(double theta) {
+ return new RotationMatrix(new Vector(1, 0, 0),
+ new Vector(0, Math.cos(theta), -Math.sin(theta)),
+ new Vector(0, Math.sin(theta), Math.cos(theta)));
+ }
+ public static RotationMatrix roty(double theta) {
+ return new RotationMatrix(new Vector(Math.cos(theta), 0, Math.sin(theta)),
+ new Vector(0, 1, 0),
+ new Vector(-Math.sin(theta), 0, Math.cos(theta)));
+ }
+ public static RotationMatrix rotz(double theta) {
+ return new RotationMatrix(new Vector(Math.cos(theta), -Math.sin(theta), 0),
+ new Vector(Math.sin(theta), Math.cos(theta), 0),
+ new Vector(0, 0, 1));
+ }
+ }
+
+}
diff --git a/org/madore/ephem/Precession.java b/org/madore/ephem/Precession.java
new file mode 100644
index 0000000..5ac3a03
--- /dev/null
+++ b/org/madore/ephem/Precession.java
@@ -0,0 +1,22 @@
+package org.madore.ephem;
+
+public final class Precession {
+
+ // The following angles are in arcseconds, argument is in Julian centuries since J2000.
+ public static final double epsilon = 84381.406;
+ public static Comput.Polynomial psi
+ = new Comput.Polynomial(0, 5038.481507, -1.0790069, -0.00114045, 0.000132851, -0.0000000951);
+ public static Comput.Polynomial omega
+ = new Comput.Polynomial(epsilon, -0.025754, 0.0512623, -0.00772503, -0.000000467, 0.0000003337);
+ public static Comput.Polynomial chi
+ = new Comput.Polynomial(0, 10.556403, -2.3814292, -0.00121197, 0.000170663, -0.0000000560);
+
+ public static Frames.RotationMatrix matrix(double t) {
+ Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(epsilon*Comput.arcsecond);
+ Frames.RotationMatrix mat2 = Frames.RotationMatrix.rotz(-psi.v(t)*Comput.arcsecond).apply(mat1);
+ Frames.RotationMatrix mat3 = Frames.RotationMatrix.rotx(-omega.v(t)*Comput.arcsecond).apply(mat2);
+ Frames.RotationMatrix mat4 = Frames.RotationMatrix.rotz(chi.v(t)*Comput.arcsecond).apply(mat3);
+ return mat4;
+ }
+
+}
diff --git a/org/madore/ephem/Smart97.java b/org/madore/ephem/Smart97.java
deleted file mode 100644
index 3fa2b80..0000000
--- a/org/madore/ephem/Smart97.java
+++ /dev/null
@@ -1,46 +0,0 @@
-package org.madore.ephem;
-
-import java.util.List;
-import java.util.ArrayList;
-import java.util.EnumMap;
-import java.io.InputStream;
-import java.io.InputStreamReader;
-import java.io.BufferedReader;
-
-public final class Smart97 {
-
- public static enum Variable {
- CHI("chi"), P("p"), EPSILON("epsilon"),
- PHI("phi"), OMEGA("omega"), SIDTIME("sidtime");
- final String name;
- Variable(String name) { this.name = name; }
- }
-
- private static EnumMap<Variable, Comput.SumPoissonTerms> data = new EnumMap<Variable, Comput.SumPoissonTerms>(Variable.class);
-
- public static Comput.SumPoissonTerms getFunc(Variable v) {
- if ( ! data.containsKey(v) ) {
- List<Comput.PoissonTerm> series = new ArrayList<Comput.PoissonTerm>();
- try {
- InputStream str = Smart97.class.getResourceAsStream("smart97-simp.dat");
- BufferedReader in = new BufferedReader(new InputStreamReader(str, "utf-8"));
- String s;
- while ( ( s = in.readLine() ) != null ) {
- String[] fields = s.split("\t");
- if ( ! fields[0].equals("orient") || ! fields[1].equals(v.name) )
- continue;
- int deg = Integer.parseInt(fields[2]);
- double c = Double.parseDouble(fields[3]);
- double phi = Double.parseDouble(fields[4]);
- double om = Double.parseDouble(fields[5]);
- series.add(Comput.PoissonTerm.cphi(deg, c, phi, om));
- }
- } catch ( Exception e ) {
- throw new RuntimeException(e);
- }
- data.put(v, new Comput.SumPoissonTerms(series));
- }
- return data.get(v);
- }
-
-}
diff --git a/org/madore/ephem/smart97-simp.dat b/org/madore/ephem/smart97-simp.dat
deleted file mode 100644
index 1431272..0000000
--- a/org/madore/ephem/smart97-simp.dat
+++ /dev/null
@@ -1,392 +0,0 @@
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-orient chi 1 99190.44310000000 0.50156174030 -337.57047081000
-orient chi 1 7325.97150000000 1.84631616800 12566.63930559000
-orient chi 1 1268.67470000000 5.96146554720 167994.18220195000
-orient chi 1 1202.48390000000 5.84620520680 -675.14094162000
-orient chi 2 -238245949.46639999747 0.00000000000 0.00000000000
-orient chi 2 24670.38870000000 2.09788180320 -337.57047081000
-orient chi 3 -1214073.17859999998 0.00000000000 0.00000000000
-orient chi 4 1704654.16800000006 0.00000000000 0.00000000000
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