From 35743c64b63fcc76204ac8067453317ae25981af Mon Sep 17 00:00:00 2001
From: Lorenz Stechauner <lorenz.stechauner@necronda.net>
Date: Wed, 27 Apr 2022 23:29:24 +0200
Subject: [PATCH] Finish AB4

---
 src/Aufgabe4Test.java       |  55 +++++++++----------
 src/Body.java               |   6 +++
 src/HierarchicalSystem.java | 103 ++++++++++++++++++++++++++++++++++--
 src/NamedBodyForcePair.java |  77 ++++++++++++++++++++++++---
 src/Simulation4.java        |  66 +++++++++++------------
 src/SolSystem4.java         |  37 ++++++++-----
 src/Vector3.java            |  28 ++++++++--
 7 files changed, 284 insertions(+), 88 deletions(-)

diff --git a/src/Aufgabe4Test.java b/src/Aufgabe4Test.java
index 422940e..e86e94a 100644
--- a/src/Aufgabe4Test.java
+++ b/src/Aufgabe4Test.java
@@ -8,41 +8,36 @@ public class Aufgabe4Test {
     private NamedBodyForcePair sun2, mercury2, venus2, earth2, moon2, mars2, deimos2, phobos2, vesta2, pallas2, hygiea2, ceres2;
 
     public void resetBodies() {
-        sun2 = new NamedBodyForcePair(SolSystem4.SUN);
-        earth2 = new NamedBodyForcePair(SolSystem4.EARTH);
-        moon2 = new NamedBodyForcePair(SolSystem4.MOON);
-        mars2 = new NamedBodyForcePair(SolSystem4.MARS);
-        deimos2 = new NamedBodyForcePair(SolSystem4.DEIMOS);
-        phobos2 = new NamedBodyForcePair(SolSystem4.PHOBOS);
-        mercury2 = new NamedBodyForcePair(SolSystem4.MERCURY);
-        venus2 = new NamedBodyForcePair(SolSystem4.VENUS);
-        vesta2 = new NamedBodyForcePair(SolSystem4.VESTA);
-        pallas2 = new NamedBodyForcePair(SolSystem4.PALLAS);
-        hygiea2 = new NamedBodyForcePair(SolSystem4.HYGIEA);
-        ceres2 = new NamedBodyForcePair(SolSystem4.CERES);
+        sun2 = new NamedBodyForcePair(SolSystem4.SUN_NAMED);
+        earth2 = new NamedBodyForcePair(SolSystem4.EARTH_NAMED);
+        moon2 = new NamedBodyForcePair(SolSystem4.MOON_NAMED);
+        mars2 = new NamedBodyForcePair(SolSystem4.MARS_NAMED);
+        deimos2 = new NamedBodyForcePair(SolSystem4.DEIMOS_NAMED);
+        phobos2 = new NamedBodyForcePair(SolSystem4.PHOBOS_NAMED);
+        mercury2 = new NamedBodyForcePair(SolSystem4.MERCURY_NAMED);
+        venus2 = new NamedBodyForcePair(SolSystem4.VENUS_NAMED);
+        vesta2 = new NamedBodyForcePair(SolSystem4.VESTA_NAMED);
+        pallas2 = new NamedBodyForcePair(SolSystem4.PALLAS_NAMED);
+        hygiea2 = new NamedBodyForcePair(SolSystem4.HYGIEA_NAMED);
+        ceres2 = new NamedBodyForcePair(SolSystem4.CERES_NAMED);
     }
 
     @Test
     public void testEP2() {
-        assertEquals(2, 3);
-        //TODO: uncomment for testing
-        /*
         //test classes HierarchicalSystem and NamedBodyForcePair
 
-        // create 12 bodies
-        Body sun1, earth1, moon1, mars1, deimos1, phobos1, mercury1, venus1, vesta1, pallas1, hygiea1, ceres1;
-        sun1 = new Body(1.989E30, new Vector3(0.0, 0.0, 0.0), new Vector3(0.0, 0.0, 0.0));
-        earth1 = new Body(5.972E24, new Vector3(-6.13135922534815E10, -1.383789852227691E11, 2.719682263474911E7), new Vector3(26832.720535473603, -11948.23168764519, 1.9948243075997851));
-        moon1 = new Body(7.349E22, new Vector3(-6.132484773775896E10, -1.387394951280871E11, 1.701046736294776E7), new Vector3(27916.62329282941, -12020.39526008238, -94.89703264508708));
-        mars1 = new Body(6.41712E23, new Vector3(-1.7923193702925848E11, 1.726665823982123E11, 7.991673845249474E9), new Vector3(-15925.78496403673, -15381.16179928219, 68.67560910598857));
-        deimos1 = new Body(1.8E20, new Vector3(-1.792255010450533E11, 1.726891122683271E11, 7.990659337380297E9), new Vector3(-17100.476719804457, -15020.348656808, 631.2927851249581));
-        phobos1 = new Body(1.08E20, new Vector3(-1.792253482539647E11, 1.72661109673625E11, 7.987848354800322E9), new Vector3(-14738.203714241401, -13671.17675223948, -411.0012490555253));
-        mercury1 = new Body(3.301E23, new Vector3(-5.167375560011926E10, -4.217574885682655E10, 1.14808913958168E9), new Vector3(21580.25398577148, -34951.03632847389, -4835.225596525241));
-        venus1 = new Body(4.86747E24, new Vector3(-3.123150865740532E10, 1.0395568504115701E11, 3.173401325838074E9), new Vector3(-33748.180519629335, -10014.25141045021, 1809.94488874165));
-        vesta1 = new Body(2.5908E20, new Vector3(-3.337493557929893E11, -4.7147908276077385E10, 4.1923010146878105E10), new Vector3(4440.54247538484, -19718.49074006637, 48.06573124543601));
-        pallas1 = new Body(2.14E20, new Vector3(4.3452066613895575E11, -2.057319365171432E11, 1.0549957423213101E11), new Vector3(5058.947582097117, 11184.45711782372, -8183.524138259704));
-        hygiea1 = new Body(8.32E19, new Vector3(-3.983943433707043E11, 2.325833000024021E11, -2.233667695713672E10), new Vector3(-6931.864585548552, -15686.8108598699, -690.5791992347208));
-        ceres1 = new Body(9.394E20, new Vector3(3.781372641419032E11, 1.96718960466285E11, -6.366459168068592E10), new Vector3(-8555.324226752316, 14718.33755980907, 2040.230135060142));
+        Body sun1 = new Body(SolSystem4.SUN);
+        Body earth1 = new Body(SolSystem4.EARTH);
+        Body moon1 = new Body(SolSystem4.MOON);
+        Body mars1 = new Body(SolSystem4.MARS);
+        Body deimos1 = new Body(SolSystem4.DEIMOS);
+        Body phobos1 = new Body(SolSystem4.PHOBOS);
+        Body mercury1 = new Body(SolSystem4.MERCURY);
+        Body venus1 = new Body(SolSystem4.VENUS);
+        Body vesta1 = new Body(SolSystem4.VESTA);
+        Body pallas1 = new Body(SolSystem4.PALLAS);
+        Body hygiea1 = new Body(SolSystem4.HYGIEA);
+        Body ceres1 = new Body(SolSystem4.CERES);
 
         Body[] bodies = new Body[]{sun1, mercury1, venus1, earth1, moon1, mars1, deimos1, phobos1, vesta1, pallas1, hygiea1, ceres1};
         Vector3[] forceOnBody = new Vector3[bodies.length];
@@ -57,6 +52,7 @@ public class Aufgabe4Test {
         assertEquals(2, earthSystem.numberOfBodies());
         assertEquals(12, solarSystem.numberOfBodies());
 
+        System.out.println(solarSystem);
         assertTrue(solarSystem.toString().contains("Mars"));
         assertTrue(solarSystem.toString().contains("Deimos"));
         assertTrue(solarSystem.toString().contains("Moon"));
@@ -110,6 +106,5 @@ public class Aufgabe4Test {
         for (int i = 0; i < bodies.length; i++) {
             assertEquals(0, bodies[i].massCenter().distanceTo(pairs[i].getMassCenter()));
         }
-        */ //TODO: uncomment
     }
 }
diff --git a/src/Body.java b/src/Body.java
index acc0650..f5ab255 100644
--- a/src/Body.java
+++ b/src/Body.java
@@ -35,8 +35,10 @@ public class Body {
      * Hint: see simulation loop in Simulation.java to find out how this is done.
      */
     public Vector3 gravitationalForce(Body b) {
+        if (b == this) return new Vector3();
         Vector3 direction = b.massCenter.minus(massCenter);
         double distance = direction.length();
+        if (distance == 0) return new Vector3();
         direction.normalize();
         double force = Simulation.G * mass * b.mass / (distance * distance);
         return direction.times(force);
@@ -76,6 +78,10 @@ public class Body {
         return mass;
     }
 
+    public Vector3 massCenter() {
+        return massCenter;
+    }
+
     public boolean collidesWith(Body body) {
         return this.distanceTo(body) < this.radius() + body.radius();
     }
diff --git a/src/HierarchicalSystem.java b/src/HierarchicalSystem.java
index 86b8f48..3ec93ca 100644
--- a/src/HierarchicalSystem.java
+++ b/src/HierarchicalSystem.java
@@ -1,16 +1,113 @@
+import codedraw.CodeDraw;
+
 /**
  * A cosmic system that is composed of a central named body (of type 'NamedBodyForcePair')
  * and an arbitrary number of subsystems (of type 'CosmicSystem') in its orbit.
  * This class implements 'CosmicSystem'.
  */
-public class HierarchicalSystem /* TODO: add clause */ {
+public class HierarchicalSystem implements CosmicSystem {
 
-    // TODO: define missing parts of this class.
+    private final NamedBodyForcePair central;
+    private final CosmicSystem[] orbit;
+    private final CosmicSystem[] all;
 
     /**
      * Initializes this system with a name and a central body.
      */
     public HierarchicalSystem(NamedBodyForcePair central, CosmicSystem... inOrbit) {
-        // TODO: implement constructor.
+        this.central = central;
+        this.orbit = inOrbit;
+        this.all = new CosmicSystem[this.orbit.length + 1];
+        this.all[0] = central;
+        System.arraycopy(this.orbit, 0, this.all, 1, this.orbit.length);
+    }
+
+    @Override
+    public Vector3 getMassCenter() {
+        double mass = this.getMass();
+        Vector3 massCenter = new Vector3();
+        for (CosmicSystem sys : all) {
+            massCenter.add(sys.getMassCenter().times(sys.getMass() / mass));
+        }
+        return massCenter;
+    }
+
+    @Override
+    public double getMass() {
+        double mass = 0;
+        for (CosmicSystem sys : all) {
+            mass += sys.getMass();
+        }
+        return mass;
+    }
+
+    @Override
+    public int numberOfBodies() {
+        int num = 0;
+        for (CosmicSystem sys : all) {
+            num += sys.numberOfBodies();
+        }
+        return num;
+    }
+
+    @Override
+    public double distanceTo(CosmicSystem cs) {
+        return this.getMassCenter().distanceTo(cs.getMassCenter());
+    }
+
+    @Override
+    public void addForceFrom(Body b) {
+        for (CosmicSystem sys : all) {
+            sys.addForceFrom(b);
+        }
+    }
+
+    @Override
+    public void addForceTo(CosmicSystem cs) {
+        for (CosmicSystem sys : all) {
+            sys.addForceTo(cs);
+        }
+    }
+
+    @Override
+    public BodyLinkedList getBodies() {
+        BodyLinkedList list = new BodyLinkedList();
+        for (CosmicSystem sys : all) {
+            for (Body b : sys.getBodies()) {
+                list.addFirst(b);
+            }
+        }
+        return list;
+    }
+
+    @Override
+    public void update() {
+        for (CosmicSystem sys : all) {
+            sys.update();
+        }
+    }
+
+    @Override
+    public void draw(CodeDraw cd) {
+        for (CosmicSystem sys : all) {
+            sys.draw(cd);
+        }
+    }
+
+    @Override
+    public String toString() {
+        StringBuilder sb = new StringBuilder();
+        sb.append(central.getName());
+
+        sb.append(" {");
+        boolean first = true;
+        for (CosmicSystem sys : orbit) {
+            if (!first) sb.append(", ");
+            sb.append(sys.toString());
+            first = false;
+        }
+        sb.append("}");
+
+        return sb.toString();
     }
 }
diff --git a/src/NamedBodyForcePair.java b/src/NamedBodyForcePair.java
index 1568c5a..5b5820d 100644
--- a/src/NamedBodyForcePair.java
+++ b/src/NamedBodyForcePair.java
@@ -1,28 +1,93 @@
+import codedraw.CodeDraw;
+
 /**
  * A body with a name and an associated force. The leaf node of
  * a hierarchical cosmic system. This class implements 'CosmicSystem'.
  */
-public class NamedBodyForcePair /* TODO: add clause */ {
+public class NamedBodyForcePair implements CosmicSystem {
 
-    // TODO: define missing parts of this class.
+    private final String name;
+    private final Body body;
+    private final Vector3 force = new Vector3();
 
     /**
      * Initializes this with name, mass, current position and movement. The associated force
      * is initialized with a zero vector.
      */
     public NamedBodyForcePair(String name, double mass, Vector3 massCenter, Vector3 currentMovement) {
-        // TODO: implement constructor.
+        this(name, new Body(mass, massCenter, currentMovement));
+    }
+
+    public NamedBodyForcePair(String name, Body b) {
+        this.body = b;
+        this.name = name;
     }
 
     public NamedBodyForcePair(NamedBodyForcePair other) {
-        // TODO
+        this(other.name, new Body(other.body));
+    }
+
+    public Body getBody() {
+        return body;
     }
 
     /**
      * Returns the name of the body.
      */
     public String getName() {
-        // TODO: implement method.
-        return "";
+        return name;
+    }
+
+    @Override
+    public String toString() {
+        return this.getName();
+    }
+
+    @Override
+    public Vector3 getMassCenter() {
+        return body.massCenter();
+    }
+
+    @Override
+    public double getMass() {
+        return body.mass();
+    }
+
+    @Override
+    public int numberOfBodies() {
+        return 1;
+    }
+
+    @Override
+    public double distanceTo(CosmicSystem cs) {
+        return getMassCenter().distanceTo(cs.getMassCenter());
+    }
+
+    @Override
+    public void addForceFrom(Body b) {
+        force.add(body.gravitationalForce(b));
+    }
+
+    @Override
+    public void addForceTo(CosmicSystem cs) {
+        cs.addForceFrom(body);
+    }
+
+    @Override
+    public BodyLinkedList getBodies() {
+        BodyLinkedList list = new BodyLinkedList();
+        list.addFirst(body);
+        return list;
+    }
+
+    @Override
+    public void update() {
+        body.move(force);
+        force.set(0);
+    }
+
+    @Override
+    public void draw(CodeDraw cd) {
+        body.draw(cd);
     }
 }
diff --git a/src/Simulation4.java b/src/Simulation4.java
index 84737c1..b62bb2d 100644
--- a/src/Simulation4.java
+++ b/src/Simulation4.java
@@ -7,47 +7,45 @@ import java.awt.*;
  */
 public class Simulation4 {
 
-    // gravitational constant
-    public static final double G = 6.6743e-11;
-
-    // one astronomical unit (AU) is the average distance of earth to the sun.
-    public static final double AU = 150e9; // meters
-
-    // one light year
-    public static final double LY = 9.461e15; // meters
-
-    // some further constants needed in the simulation
-    public static final double SUN_MASS = 1.989e30; // kilograms
-    public static final double SUN_RADIUS = 696340e3; // meters
-    public static final double EARTH_MASS = 5.972e24; // kilograms
-    public static final double EARTH_RADIUS = 6371e3; // meters
-
-    // set some system parameters
-    public static final double SECTION_SIZE = 10 * AU; // the size of the square region in space
-
-    // all quantities are based on units of kilogram respectively second and meter.
+    public static final double SECTION_SIZE = 10 * Simulation.AU;
 
     /**
      * The main simulation method using instances of other classes.
      */
     public static void main(String[] args) {
-        // simulation
         CodeDraw cd = new CodeDraw();
 
-        // create solar system with 12 bodies
-        NamedBodyForcePair sun = new NamedBodyForcePair(SolSystem4.SUN);
-        NamedBodyForcePair earth = new NamedBodyForcePair(SolSystem4.EARTH);
-        NamedBodyForcePair moon = new NamedBodyForcePair(SolSystem4.MOON);
-        NamedBodyForcePair mars = new NamedBodyForcePair(SolSystem4.MARS);
-        NamedBodyForcePair deimos = new NamedBodyForcePair(SolSystem4.DEIMOS);
-        NamedBodyForcePair phobos = new NamedBodyForcePair(SolSystem4.PHOBOS);
-        NamedBodyForcePair mercury = new NamedBodyForcePair(SolSystem4.MERCURY);
-        NamedBodyForcePair venus = new NamedBodyForcePair(SolSystem4.VENUS);
-        NamedBodyForcePair vesta = new NamedBodyForcePair(SolSystem4.VESTA);
-        NamedBodyForcePair pallas = new NamedBodyForcePair(SolSystem4.PALLAS);
-        NamedBodyForcePair hygiea = new NamedBodyForcePair(SolSystem4.HYGIEA);
-        NamedBodyForcePair ceres = new NamedBodyForcePair(SolSystem4.CERES);
+        NamedBodyForcePair sun = new NamedBodyForcePair(SolSystem4.SUN_NAMED);
+        NamedBodyForcePair earth = new NamedBodyForcePair(SolSystem4.EARTH_NAMED);
+        NamedBodyForcePair moon = new NamedBodyForcePair(SolSystem4.MOON_NAMED);
+        NamedBodyForcePair mars = new NamedBodyForcePair(SolSystem4.MARS_NAMED);
+        NamedBodyForcePair deimos = new NamedBodyForcePair(SolSystem4.DEIMOS_NAMED);
+        NamedBodyForcePair phobos = new NamedBodyForcePair(SolSystem4.PHOBOS_NAMED);
+        NamedBodyForcePair mercury = new NamedBodyForcePair(SolSystem4.MERCURY_NAMED);
+        NamedBodyForcePair venus = new NamedBodyForcePair(SolSystem4.VENUS_NAMED);
+        NamedBodyForcePair vesta = new NamedBodyForcePair(SolSystem4.VESTA_NAMED);
+        NamedBodyForcePair pallas = new NamedBodyForcePair(SolSystem4.PALLAS_NAMED);
+        NamedBodyForcePair hygiea = new NamedBodyForcePair(SolSystem4.HYGIEA_NAMED);
+        NamedBodyForcePair ceres = new NamedBodyForcePair(SolSystem4.CERES_NAMED);
 
-        //TODO: implementation of this method according to 'Aufgabenblatt4.md'.
+        CosmicSystem earthSystem = new HierarchicalSystem(earth, moon);
+        CosmicSystem marsSystem = new HierarchicalSystem(mars, deimos, phobos);
+        CosmicSystem sol = new HierarchicalSystem(sun, mercury, venus, earthSystem, marsSystem, vesta, pallas, hygiea, ceres);
+
+        long seconds = 0;
+        while (true) {
+            seconds++;
+
+            for (Body b : sol.getBodies()) {
+                sol.addForceFrom(b);
+            }
+            sol.update();
+
+            if ((seconds % 3600) == 0) {
+                cd.clear(Color.BLACK);
+                sol.draw(cd);
+                cd.show();
+            }
+        }
     }
 }
diff --git a/src/SolSystem4.java b/src/SolSystem4.java
index 2cd31ae..1f2fa19 100644
--- a/src/SolSystem4.java
+++ b/src/SolSystem4.java
@@ -1,14 +1,27 @@
 public class SolSystem4 {
-    public static final NamedBodyForcePair SUN = new NamedBodyForcePair("Sun", 1.989E30, new Vector3(0.0, 0.0, 0.0), new Vector3(0.0, 0.0, 0.0));
-    public static final NamedBodyForcePair EARTH = new NamedBodyForcePair("Earth", 5.972E24, new Vector3(-6.13135922534815E10, -1.383789852227691E11, 2.719682263474911E7), new Vector3(26832.720535473603, -11948.23168764519, 1.9948243075997851));
-    public static final NamedBodyForcePair MOON = new NamedBodyForcePair("Moon", 7.349E22, new Vector3(-6.132484773775896E10, -1.387394951280871E11, 1.701046736294776E7), new Vector3(27916.62329282941, -12020.39526008238, -94.89703264508708));
-    public static final NamedBodyForcePair MARS = new NamedBodyForcePair("Mars", 6.41712E23, new Vector3(-1.7923193702925848E11, 1.726665823982123E11, 7.991673845249474E9), new Vector3(-15925.78496403673, -15381.16179928219, 68.67560910598857));
-    public static final NamedBodyForcePair DEIMOS = new NamedBodyForcePair("Deimos", 1.8E20, new Vector3(-1.792255010450533E11, 1.726891122683271E11, 7.990659337380297E9), new Vector3(-17100.476719804457, -15020.348656808, 631.2927851249581));
-    public static final NamedBodyForcePair PHOBOS = new NamedBodyForcePair("Phobos", 1.08E20, new Vector3(-1.792253482539647E11, 1.72661109673625E11, 7.987848354800322E9), new Vector3(-14738.203714241401, -13671.17675223948, -411.0012490555253));
-    public static final NamedBodyForcePair MERCURY = new NamedBodyForcePair("Mercury", 3.301E23, new Vector3(-5.167375560011926E10, -4.217574885682655E10, 1.14808913958168E9), new Vector3(21580.25398577148, -34951.03632847389, -4835.225596525241));
-    public static final NamedBodyForcePair VENUS = new NamedBodyForcePair("Venus", 4.86747E24, new Vector3(-3.123150865740532E10, 1.0395568504115701E11, 3.173401325838074E9), new Vector3(-33748.180519629335, -10014.25141045021, 1809.94488874165));
-    public static final NamedBodyForcePair VESTA = new NamedBodyForcePair("Vesta", 2.5908E20, new Vector3(-3.337493557929893E11, -4.7147908276077385E10, 4.1923010146878105E10), new Vector3(4440.54247538484, -19718.49074006637, 48.06573124543601));
-    public static final NamedBodyForcePair PALLAS = new NamedBodyForcePair("Pallas", 2.14E20, new Vector3(4.3452066613895575E11, -2.057319365171432E11, 1.0549957423213101E11), new Vector3(5058.947582097117, 11184.45711782372, -8183.524138259704));
-    public static final NamedBodyForcePair HYGIEA = new NamedBodyForcePair("Hygiea", 8.32E19, new Vector3(-3.983943433707043E11, 2.325833000024021E11, -2.233667695713672E10), new Vector3(-6931.864585548552, -15686.8108598699, -690.5791992347208));
-    public static final NamedBodyForcePair CERES = new NamedBodyForcePair("Ceres", 9.394E20, new Vector3(3.781372641419032E11, 1.96718960466285E11, -6.366459168068592E10), new Vector3(-8555.324226752316, 14718.33755980907, 2040.230135060142));
+    public static final Body SUN = new Body(1.989E30, new Vector3(0.0, 0.0, 0.0), new Vector3(0.0, 0.0, 0.0));
+    public static final Body EARTH = new Body(5.972E24, new Vector3(-6.13135922534815E10, -1.383789852227691E11, 2.719682263474911E7), new Vector3(26832.720535473603, -11948.23168764519, 1.9948243075997851));
+    public static final Body MOON = new Body(7.349E22, new Vector3(-6.132484773775896E10, -1.387394951280871E11, 1.701046736294776E7), new Vector3(27916.62329282941, -12020.39526008238, -94.89703264508708));
+    public static final Body MARS = new Body(6.41712E23, new Vector3(-1.7923193702925848E11, 1.726665823982123E11, 7.991673845249474E9), new Vector3(-15925.78496403673, -15381.16179928219, 68.67560910598857));
+    public static final Body DEIMOS = new Body(1.8E20, new Vector3(-1.792255010450533E11, 1.726891122683271E11, 7.990659337380297E9), new Vector3(-17100.476719804457, -15020.348656808, 631.2927851249581));
+    public static final Body PHOBOS = new Body(1.08E20, new Vector3(-1.792253482539647E11, 1.72661109673625E11, 7.987848354800322E9), new Vector3(-14738.203714241401, -13671.17675223948, -411.0012490555253));
+    public static final Body MERCURY = new Body(3.301E23, new Vector3(-5.167375560011926E10, -4.217574885682655E10, 1.14808913958168E9), new Vector3(21580.25398577148, -34951.03632847389, -4835.225596525241));
+    public static final Body VENUS = new Body(4.86747E24, new Vector3(-3.123150865740532E10, 1.0395568504115701E11, 3.173401325838074E9), new Vector3(-33748.180519629335, -10014.25141045021, 1809.94488874165));
+    public static final Body VESTA = new Body(2.5908E20, new Vector3(-3.337493557929893E11, -4.7147908276077385E10, 4.1923010146878105E10), new Vector3(4440.54247538484, -19718.49074006637, 48.06573124543601));
+    public static final Body PALLAS = new Body(2.14E20, new Vector3(4.3452066613895575E11, -2.057319365171432E11, 1.0549957423213101E11), new Vector3(5058.947582097117, 11184.45711782372, -8183.524138259704));
+    public static final Body HYGIEA = new Body(8.32E19, new Vector3(-3.983943433707043E11, 2.325833000024021E11, -2.233667695713672E10), new Vector3(-6931.864585548552, -15686.8108598699, -690.5791992347208));
+    public static final Body CERES = new Body(9.394E20, new Vector3(3.781372641419032E11, 1.96718960466285E11, -6.366459168068592E10), new Vector3(-8555.324226752316, 14718.33755980907, 2040.230135060142));
+
+    public static final NamedBodyForcePair SUN_NAMED = new NamedBodyForcePair("Sun", SUN);
+    public static final NamedBodyForcePair EARTH_NAMED = new NamedBodyForcePair("Earth", EARTH);
+    public static final NamedBodyForcePair MOON_NAMED = new NamedBodyForcePair("Moon", MOON);
+    public static final NamedBodyForcePair MARS_NAMED = new NamedBodyForcePair("Mars", MARS);
+    public static final NamedBodyForcePair DEIMOS_NAMED = new NamedBodyForcePair("Deimos", DEIMOS);
+    public static final NamedBodyForcePair PHOBOS_NAMED = new NamedBodyForcePair("Phobos", PHOBOS);
+    public static final NamedBodyForcePair MERCURY_NAMED = new NamedBodyForcePair("Mercury", MERCURY);
+    public static final NamedBodyForcePair VENUS_NAMED = new NamedBodyForcePair("Venus", VENUS);
+    public static final NamedBodyForcePair VESTA_NAMED = new NamedBodyForcePair("Vesta", VESTA);
+    public static final NamedBodyForcePair PALLAS_NAMED = new NamedBodyForcePair("Pallas", PALLAS);
+    public static final NamedBodyForcePair HYGIEA_NAMED = new NamedBodyForcePair("Hygiea", HYGIEA);
+    public static final NamedBodyForcePair CERES_NAMED = new NamedBodyForcePair("Ceres", CERES);
 }
diff --git a/src/Vector3.java b/src/Vector3.java
index fa74576..548c6df 100644
--- a/src/Vector3.java
+++ b/src/Vector3.java
@@ -26,6 +26,16 @@ public class Vector3 {
         this(other.x, other.y, other.z);
     }
 
+    public void set(double v) {
+        set(v, v, v);
+    }
+
+    public void set(double x, double y, double z) {
+        this.x = x;
+        this.y = y;
+        this.z = z;
+    }
+
     /**
      * Returns the sum of this vector and vector 'v'.
      */
@@ -33,6 +43,12 @@ public class Vector3 {
         return new Vector3(x + v.x, y + v.y, z + v.z);
     }
 
+    public void add(Vector3 v) {
+        this.x += v.x;
+        this.y += v.y;
+        this.z += v.z;
+    }
+
     /**
      * Returns the product of this vector and 'd'.
      */
@@ -47,6 +63,12 @@ public class Vector3 {
         return new Vector3(x - v.x, y - v.y, z - v.z);
     }
 
+    public void sub(Vector3 v) {
+        this.x -= v.x;
+        this.y -= v.y;
+        this.z -= v.z;
+    }
+
     /**
      * Returns the Euclidean distance of this vector
      * to the specified vector 'v'.
@@ -77,11 +99,11 @@ public class Vector3 {
     }
 
     public double getScreenX(CodeDraw cd) {
-        return cd.getWidth() * (this.x + Simulation.SECTION_SIZE / 2) / Simulation.SECTION_SIZE;
+        return cd.getWidth() * (this.x + Simulation4.SECTION_SIZE / 2) / Simulation4.SECTION_SIZE;
     }
 
     public double getScreenY(CodeDraw cd) {
-        return cd.getWidth() * (this.y + Simulation.SECTION_SIZE / 2) / Simulation.SECTION_SIZE;
+        return cd.getWidth() * (this.y + Simulation4.SECTION_SIZE / 2) / Simulation4.SECTION_SIZE;
     }
 
     /**
@@ -89,7 +111,7 @@ public class Vector3 {
      * in the canvas associated with 'cd'. The z-coordinate is not used.
      */
     public void drawAsFilledCircle(CodeDraw cd, double radius) {
-        radius = cd.getWidth() * radius / Simulation.SECTION_SIZE;
+        radius = cd.getWidth() * radius / Simulation4.SECTION_SIZE;
         cd.fillCircle(getScreenX(cd), getScreenY(cd), Math.max(radius, 1.5));
     }