Nutation.

4 files changed, 2493 insertions, 3 deletions

diff --git a/org/madore/ephem/Nutation.java b/org/madore/ephem/Nutation.java
new file mode 100644
index 0000000..ecc08a4
--- /dev/null
+++ b/org/madore/ephem/Nutation.java
@@ -0,0 +1,73 @@
+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 Nutation {
+
+    public static enum Variable {
+	PSI("psi"), EPSILON("epsilon");
+	final String name;
+	Variable(String name) { this.name = name; }
+    }
+
+    // The argument is in Julian centuries (value is in radians).
+    public static Comput.Polynomial[] lambdas = new Comput.Polynomial[] {
+	new Comput.Polynomial(134.96340251*Comput.degree, 1717915923.2178*Comput.arcsecond, 31.8792*Comput.arcsecond +0.051635*Comput.arcsecond, -0.00024470*Comput.arcsecond), // Delaunay l
+	new Comput.Polynomial(357.52910918*Comput.degree, 129596581.0481*Comput.arcsecond, -0.5532*Comput.arcsecond +0.000136*Comput.arcsecond, -0.00001149*Comput.arcsecond), // Delaunay l′
+	new Comput.Polynomial(93.27209062*Comput.degree, 1739527262.8478*Comput.arcsecond, -12.7512*Comput.arcsecond -0.001037*Comput.arcsecond, 0.00000417*Comput.arcsecond), // Delaunay F
+	new Comput.Polynomial(297.85019547*Comput.degree, 1602961601.2090*Comput.arcsecond, -6.3706*Comput.arcsecond +0.006593*Comput.arcsecond, -0.00003169*Comput.arcsecond), // Delaunay D
+	new Comput.Polynomial(125.04455501*Comput.degree, -6962890.5431*Comput.arcsecond, 7.4722*Comput.arcsecond +0.007702*Comput.arcsecond, -0.00005939*Comput.arcsecond), // Delaunay Ω
+	new Comput.Polynomial(4.402608842, 2608.7903141574), // L(Mercury)
+	new Comput.Polynomial(3.176146697, 1021.3285546211), // L(Venus)
+	new Comput.Polynomial(1.753470314, 628.3075849991), // L(Earth)
+	new Comput.Polynomial(6.203480913, 334.0612426700), // L(Mars)
+	new Comput.Polynomial(0.599546497, 52.9690962641), // L(Jupiter)
+	new Comput.Polynomial(0.874016757, 21.3299104960), // L(Saturn)
+	new Comput.Polynomial(5.481293872, 7.4781598567), // L(Uranus)
+	new Comput.Polynomial(5.311886287, 3.8133035638), // L(Neptune)
+	new Comput.Polynomial(0, 0.02438175, 0.00000538691) // General precession
+    };
+
+    private static EnumMap<Variable, Comput.SumPoisson2Terms> data = new EnumMap<Variable, Comput.SumPoisson2Terms>(Variable.class);
+
+    public static Comput.SumPoisson2Terms getFunc(Variable v) {
+	if ( ! data.containsKey(v) ) {
+	    List<Comput.Poisson2Term> series = new ArrayList<Comput.Poisson2Term>();
+	    try {
+		InputStream str = Nutation.class.getResourceAsStream("nutation.dat");
+		BufferedReader in = new BufferedReader(new InputStreamReader(str, "utf-8"));
+		String s;
+		while ( ( s = in.readLine() ) != null ) {
+		    String[] fields = s.split("\t");
+		    if ( ! fields[1].equals(v.name) )
+			continue;
+		    int deg = Integer.parseInt(fields[2]);
+		    String[] subfields = fields[3].split(",");
+		    double[] om = new double[14];
+		    for ( int j=0 ; j<14 ; j++ )
+			om[j] = Double.parseDouble(subfields[j]);
+		    double b = Double.parseDouble(fields[4]);
+		    double a = Double.parseDouble(fields[5]);
+		    series.add(Comput.Poisson2Term.ab(deg, a, b, om, lambdas));
+		}
+	    } catch ( Exception e ) {
+		throw new RuntimeException(e);
+	    }
+	    data.put(v, new Comput.SumPoisson2Terms(series));
+	}
+	return data.get(v);
+    }
+
+    public static Frames.RotationMatrix matrix(double t) {
+	Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(Precession.epsilon.v(t)*Comput.arcsecond);
+	Frames.RotationMatrix mat2 = Frames.RotationMatrix.rotz(-getFunc(Variable.PSI).v(t)*Comput.arcsecond).apply(mat1);
+	Frames.RotationMatrix mat3 = Frames.RotationMatrix.rotx(-(Precession.epsilon.v(t)+getFunc(Variable.EPSILON).v(t))*Comput.arcsecond).apply(mat2);
+	return mat3;
+    }
+
+}
diff --git a/org/madore/ephem/Precession.java b/org/madore/ephem/Precession.java
index 5ac3a03..b52a1c5 100644
--- a/org/madore/ephem/Precession.java
+++ b/org/madore/ephem/Precession.java
@@ -3,16 +3,18 @@ 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 final double epsilon0 = 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);
+	= new Comput.Polynomial(epsilon0, -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 Comput.Polynomial epsilon
+	= new Comput.Polynomial(epsilon0, -46.836769, -0.0001831, 0.00200340, -0.000000576, -0.0000000434);
 
     public static Frames.RotationMatrix matrix(double t) {
-	Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(epsilon*Comput.arcsecond);
+	Frames.RotationMatrix mat1 = Frames.RotationMatrix.rotx(epsilon0*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);
diff --git a/org/madore/ephem/VSOP87.java b/org/madore/ephem/VSOP87.java
index 442e985..3f06cf8 100644
--- a/org/madore/ephem/VSOP87.java
+++ b/org/madore/ephem/VSOP87.java
@@ -23,6 +23,7 @@ public final class VSOP87 {
 	Variable(String name) { this.name = name; }
     }
 
+    // The argument is in Julian millennia (value is in radians).
     public static Comput.Polynomial[] lambdas = new Comput.Polynomial[] {
 	new Comput.Polynomial(4.40260884240, 26087.9031415742),  // Mercury
 	new Comput.Polynomial(3.17614669689, 10213.2855462110),  // Venus
diff --git a/org/madore/ephem/nutation.dat b/org/madore/ephem/nutation.dat
new file mode 100644
index 0000000..a685e1f
--- /dev/null
+++ b/org/madore/ephem/nutation.dat
@@ -0,0 +1,2414 @@
+nutation	psi	0	0,0,0,0,1,0,0,0,0,0,0,0,0,0	-17.20642418	0.00333860
+nutation	psi	0	0,0,2,-2,2,0,0,0,0,0,0,0,0,0	-1.31709122	-0.00136960
+nutation	psi	0	0,0,2,0,2,0,0,0,0,0,0,0,0,0	-0.22764181	0.00027960
+nutation	psi	0	0,0,0,0,2,0,0,0,0,0,0,0,0,0	0.20745540	-0.00006980
+nutation	psi	0	0,1,0,0,0,0,0,0,0,0,0,0,0,0	0.14758770	0.00118170
+nutation	psi	0	1,0,0,0,0,0,0,0,0,0,0,0,0,0	0.07111590	-0.00008720
+nutation	psi	0	0,1,2,-2,2,0,0,0,0,0,0,0,0,0	-0.05168210	-0.00005240
+nutation	psi	0	0,0,2,0,1,0,0,0,0,0,0,0,0,0	-0.03873020	0.00003800
+nutation	psi	0	1,0,2,0,2,0,0,0,0,0,0,0,0,0	-0.03014640	0.00008160
+nutation	psi	0	0,1,-2,2,-2,0,0,0,0,0,0,0,0,0	-0.02158290	0.00001110
+nutation	psi	0	1,0,0,-2,0,0,0,0,0,0,0,0,0,0	-0.01569980	-0.00001680
+nutation	psi	0	0,0,2,-2,1,0,0,0,0,0,0,0,0,0	0.01282270	0.00001810
+nutation	psi	0	1,0,-2,0,-2,0,0,0,0,0,0,0,0,0	-0.01234570	0.00000190
+nutation	psi	0	0,0,0,2,0,0,0,0,0,0,0,0,0,0	0.00633790	-0.00001500
+nutation	psi	0	1,0,0,0,1,0,0,0,0,0,0,0,0,0	0.00631100	0.00000270
+nutation	psi	0	1,0,-2,-2,-2,0,0,0,0,0,0,0,0,0	0.00596450	0.00001490
+nutation	psi	0	1,0,0,0,-1,0,0,0,0,0,0,0,0,0	0.00579760	-0.00001890
+nutation	psi	0	1,0,2,0,1,0,0,0,0,0,0,0,0,0	-0.00516130	0.00001290
+nutation	psi	0	2,0,0,-2,0,0,0,0,0,0,0,0,0,0	0.00477220	-0.00000180
+nutation	psi	0	2,0,-2,0,-1,0,0,0,0,0,0,0,0,0	-0.00458930	0.00000310
+nutation	psi	0	0,0,2,2,2,0,0,0,0,0,0,0,0,0	-0.00385660	0.00001580
+nutation	psi	0	0,2,-2,2,-2,0,0,0,0,0,0,0,0,0	-0.00324810	0.00000000
+nutation	psi	0	2,0,2,0,2,0,0,0,0,0,0,0,0,0	-0.00310460	0.00001310
+nutation	psi	0	2,0,0,0,0,0,0,0,0,0,0,0,0,0	0.00292430	-0.00000740
+nutation	psi	0	1,0,2,-2,2,0,0,0,0,0,0,0,0,0	0.00285930	-0.00000010
+nutation	psi	0	0,0,2,0,0,0,0,0,0,0,0,0,0,0	0.00258870	-0.00000660
+nutation	psi	0	0,0,2,-2,0,0,0,0,0,0,0,0,0,0	-0.00217830	0.00000130
+nutation	psi	0	1,0,-2,0,-1,0,0,0,0,0,0,0,0,0	-0.00204410	0.00000100
+nutation	psi	0	0,2,0,0,0,0,0,0,0,0,0,0,0,0	0.00167070	-0.00000100
+nutation	psi	0	0,2,2,-2,2,0,0,0,0,0,0,0,0,0	-0.00157940	-0.00000160
+nutation	psi	0	1,0,0,-2,-1,0,0,0,0,0,0,0,0,0	-0.00151640	0.00000110
+nutation	psi	0	0,1,0,0,1,0,0,0,0,0,0,0,0,0	-0.00140530	0.00000790
+nutation	psi	0	1,0,0,-2,1,0,0,0,0,0,0,0,0,0	-0.00128730	-0.00000370
+nutation	psi	0	0,1,0,0,-1,0,0,0,0,0,0,0,0,0	0.00126540	0.00000630
+nutation	psi	0	2,0,-2,0,0,0,0,0,0,0,0,0,0,0	0.00110240	-0.00000140
+nutation	psi	0	1,0,-2,-2,-1,0,0,0,0,0,0,0,0,0	0.00102040	0.00000250
+nutation	psi	0	0,0,1,-1,1,0,0,-1,0,-2,5,0,0,0	-0.00030840	0.00051230
+nutation	psi	0	1,0,2,2,2,0,0,0,0,0,0,0,0,0	-0.00076870	0.00000440
+nutation	psi	0	0,1,2,0,2,0,0,0,0,0,0,0,0,0	0.00075660	-0.00000110
+nutation	psi	0	1,1,0,-2,0,0,0,0,0,0,0,0,0,0	-0.00073500	-0.00000080
+nutation	psi	0	0,1,-2,0,-2,0,0,0,0,0,0,0,0,0	0.00071410	0.00000080
+nutation	psi	0	0,0,2,2,1,0,0,0,0,0,0,0,0,0	-0.00066370	0.00000250
+nutation	psi	0	1,0,0,2,0,0,0,0,0,0,0,0,0,0	0.00065750	-0.00000240
+nutation	psi	0	2,0,2,-2,2,0,0,0,0,0,0,0,0,0	0.00064430	-0.00000070
+nutation	psi	0	0,0,0,2,1,0,0,0,0,0,0,0,0,0	-0.00063020	0.00000020
+nutation	psi	0	1,0,2,-2,1,0,0,0,0,0,0,0,0,0	0.00058000	0.00000020
+nutation	psi	0	2,0,0,-2,-1,0,0,0,0,0,0,0,0,0	0.00057740	-0.00000150
+nutation	psi	0	2,0,2,0,1,0,0,0,0,0,0,0,0,0	-0.00053500	0.00000210
+nutation	psi	0	0,0,0,2,-1,0,0,0,0,0,0,0,0,0	0.00049400	-0.00000210
+nutation	psi	0	0,1,-2,2,-1,0,0,0,0,0,0,0,0,0	0.00047520	-0.00000030
+nutation	psi	0	1,-1,0,0,0,0,0,0,0,0,0,0,0,0	0.00047250	-0.00000060
+nutation	psi	0	1,0,0,-1,0,0,0,0,0,0,0,0,0,0	-0.00040260	-0.00003530
+nutation	psi	0	0,1,0,-2,0,0,0,0,0,0,0,0,0,0	-0.00043480	-0.00000100
+nutation	psi	0	0,0,0,1,0,0,0,0,0,0,0,0,0,0	-0.00042300	0.00000050
+nutation	psi	0	2,0,0,-2,1,0,0,0,0,0,0,0,0,0	0.00040650	0.00000060
+nutation	psi	0	1,0,-2,0,0,0,0,0,0,0,0,0,0,0	0.00040560	0.00000050
+nutation	psi	0	0,0,0,0,0,0,0,0,0,2,-5,0,0,-1	0.00014440	0.00024090
+nutation	psi	0	0,1,2,-2,1,0,0,0,0,0,0,0,0,0	0.00035790	0.00000050
+nutation	psi	0	1,1,0,0,0,0,0,0,0,0,0,0,0,0	-0.00033890	0.00000050
+nutation	psi	0	1,0,2,0,0,0,0,0,0,0,0,0,0,0	0.00033390	-0.00000130
+nutation	psi	0	1,-1,0,-1,0,0,0,0,0,0,0,0,0,0	-0.00032760	0.00000010
+nutation	psi	0	2,0,-2,0,-2,0,0,0,0,0,0,0,0,0	0.00030710	-0.00000020
+nutation	psi	0	3,0,2,0,2,0,0,0,0,0,0,0,0,0	-0.00029010	0.00000150
+nutation	psi	0	1,-1,2,0,2,0,0,0,0,0,0,0,0,0	-0.00028780	0.00000080
+nutation	psi	0	1,1,-2,-2,-2,0,0,0,0,0,0,0,0,0	0.00028190	0.00000070
+nutation	psi	0	0,1,-2,-2,-2,0,0,0,0,0,0,0,0,0	0.00026470	0.00000110
+nutation	psi	0	1,1,2,0,2,0,0,0,0,0,0,0,0,0	0.00024810	-0.00000070
+nutation	psi	0	2,0,0,0,-1,0,0,0,0,0,0,0,0,0	0.00022940	-0.00000100
+nutation	psi	0	2,0,0,0,1,0,0,0,0,0,0,0,0,0	0.00021790	-0.00000020
+nutation	psi	0	0,0,0,0,0,0,0,4,-8,3,0,0,0,0	-0.00004620	0.00016040
+nutation	psi	0	0,0,0,0,0,0,3,-5,0,0,0,0,0,-2	0.00020650	0.00000000
+nutation	psi	0	1,0,-2,2,-1,0,0,0,0,0,0,0,0,0	0.00019870	-0.00000060
+nutation	psi	0	0,1,-1,1,-1,0,0,0,0,0,0,0,0,0	0.00000000	-0.00019880
+nutation	psi	0	1,0,0,0,2,0,0,0,0,0,0,0,0,0	-0.00019810	0.00000000
+nutation	psi	0	0,0,1,-1,1,0,-8,12,0,0,0,0,0,0	0.00012000	0.00005980
+nutation	psi	0	0,0,2,1,2,0,0,0,0,0,0,0,0,0	0.00016600	-0.00000050
+nutation	psi	0	3,0,0,0,0,0,0,0,0,0,0,0,0,0	0.00015750	-0.00000060
+nutation	psi	0	1,0,-2,-4,-2,0,0,0,0,0,0,0,0,0	0.00015210	0.00000090
+nutation	psi	0	0,0,0,0,0,0,1,-1,0,0,0,0,0,0	0.00014850	0.00000000
+nutation	psi	0	0,0,0,0,0,0,0,8,-16,4,5,0,0,0	0.00014400	0.00000000
+nutation	psi	0	1,0,0,0,-2,0,0,0,0,0,0,0,0,0	-0.00014050	0.00000040
+nutation	psi	0	2,0,-2,-2,-2,0,0,0,0,0,0,0,0,0	-0.00013780	-0.00000020
+nutation	psi	0	1,0,0,-4,0,0,0,0,0,0,0,0,0,0	-0.00013380	-0.00000050
+nutation	psi	0	1,0,2,2,1,0,0,0,0,0,0,0,0,0	-0.00013310	0.00000080
+nutation	psi	0	1,-1,0,-1,-1,0,0,0,0,0,0,0,0,0	-0.00013140	0.00000000
+nutation	psi	0	1,1,2,-2,2,0,0,0,0,0,0,0,0,0	0.00012900	0.00000000
+nutation	psi	0	2,0,0,-4,0,0,0,0,0,0,0,0,0,0	-0.00012820	-0.00000030
+nutation	psi	0	0,2,-2,2,-1,0,0,0,0,0,0,0,0,0	0.00012830	0.00000000
+nutation	psi	0	0,0,0,0,0,0,0,1,0,-1,0,0,0,0	-0.00012230	-0.00000290
+nutation	psi	0	0,0,2,-2,3,0,0,0,0,0,0,0,0,0	0.00012480	0.00000000
+nutation	psi	0	2,0,-2,-4,-2,0,0,0,0,0,0,0,0,0	0.00012140	0.00000050
+nutation	psi	0	0,0,0,0,0,0,0,0,0,2,0,0,0,2	-0.00011660	0.00000000
+nutation	psi	0	1,0,-4,0,-2,0,0,0,0,0,0,0,0,0	-0.00011460	-0.00000030
+nutation	psi	0	2,0,2,2,2,0,0,0,0,0,0,0,0,0	-0.00011000	0.00000090
+nutation	psi	0	1,0,0,-1,-1,0,0,0,0,0,0,0,0,0	-0.00010200	-0.00000250
+nutation	psi	0	1,0,-1,0,-1,0,0,0,0,0,0,0,0,0	0.00000000	-0.00010440
+nutation	psi	0	2,0,2,-2,1,0,0,0,0,0,0,0,0,0	0.00010190	-0.00000010
+nutation	psi	0	2,1,0,-2,0,0,0,0,0,0,0,0,0,0	0.00010140	-0.00000010
+nutation	psi	0	1,0,0,2,1,0,0,0,0,0,0,0,0,0	-0.00009700	0.00000020
+nutation	psi	0	1,-1,0,-2,0,0,0,0,0,0,0,0,0,0	0.00009490	0.00000010
+nutation	psi	0	3,0,2,-2,2,0,0,0,0,0,0,0,0,0	0.00009340	-0.00000030
+nutation	psi	0	0,0,4,-2,2,0,0,0,0,0,0,0,0,0	0.00009220	-0.00000010
+nutation	psi	0	0,0,0,0,1,0,0,-1,2,0,0,0,0,0	-0.00004600	-0.00004350
+nutation	psi	0	0,0,0,0,0,0,0,1,-2,0,0,0,0,0	-0.00004490	0.00004300
+nutation	psi	0	0,1,-2,2,0,0,0,0,0,0,0,0,0,0	-0.00008750	0.00000010
+nutation	psi	0	0,0,2,-2,-1,0,0,0,0,0,0,0,0,0	-0.00008340	0.00000020
+nutation	psi	0	0,1,2,0,1,0,0,0,0,0,0,0,0,0	0.00008150	-0.00000010
+nutation	psi	0	1,0,2,-2,0,0,0,0,0,0,0,0,0,0	-0.00007660	0.00000010
+nutation	psi	0	1,1,0,-2,-1,0,0,0,0,0,0,0,0,0	-0.00007420	0.00000010
+nutation	psi	0	0,1,0,0,2,0,0,0,0,0,0,0,0,0	0.00007150	-0.00000040
+nutation	psi	0	2,0,-2,0,1,0,0,0,0,0,0,0,0,0	0.00007160	-0.00000020
+nutation	psi	0	0,0,2,-1,2,0,0,0,0,0,0,0,0,0	-0.00007040	0.00000000
+nutation	psi	0	0,0,2,4,2,0,0,0,0,0,0,0,0,0	-0.00006940	0.00000050
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