{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Integrating eccentric Comets with MERCURIUS\n",
    "In this example, we study highly eccentric comets which interact with a Neptune mass planet.\n",
    "\n",
    "MERCURIUS is a hybrid integration scheme which combines the WHFAST and IAS15 algorithms. It smoothly transitions between the two integrators, similar to what the hybrid integrator in the MERCURY package is doing. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import rebound\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First let's choose the basic properties required for the MERCURIUS integrator to run correctly. In particular, we are:  \n",
    "* adding comets as *semi-active* bodies, which means they can influence/be influenced by other active bodies, but are invisible to each other. This is done by setting `testparticle_type = 1`. Setting `testparticle_type = 0` would indicate that we are adding comets as *test* bodies.\n",
    "* merging bodies when a collision is triggered, conserving momentum and mass.\n",
    "* removing particles that leave our pre-defined box.\n",
    "* tracking the energy lost due to ejections or collisions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim = rebound.Simulation()\n",
    "np.random.seed(42)\n",
    "\n",
    "#integrator options\n",
    "sim.integrator = \"mercurius\"\n",
    "sim.dt = 1\n",
    "sim.testparticle_type = 1\n",
    "\n",
    "#collision and boundary options\n",
    "sim.collision = \"direct\"\n",
    "sim.collision_resolve = \"merge\"\n",
    "sim.collision_resolve_keep_sorted = 1\n",
    "sim.boundary = \"open\"\n",
    "boxsize = 200.\n",
    "sim.configure_box(boxsize)\n",
    "sim.track_energy_offset = 1\n",
    "\n",
    "#simulation time\n",
    "tmax = 1e4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that the preliminary setup is complete, it's time to add some particles to the system! When using the MERCURIUS integrator it is important to add active bodies first and semi-active bodies later. The `sim.N_active` variable distinguishes massive bodies from semi-active/test bodies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#massive bodies\n",
    "sim.add(m=1., r=0.005)                     # Sun\n",
    "a_neptune = 30.05\n",
    "sim.add(m=5e-5,r=2e-4,a=a_neptune,e=0.01)  # Neptune\n",
    "\n",
    "sim.N_active = sim.N"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's create some comets! For this simple example we are assuming that all comets have the same mass and radius."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# semi-active bodies\n",
    "n_comets = 100\n",
    "a = np.random.random(n_comets)*10 + a_neptune\n",
    "e = np.random.random(n_comets)*0.009 + 0.99\n",
    "inc = np.random.random(n_comets)*np.pi/2.\n",
    "m = 1e-10\n",
    "r = 1e-7\n",
    "\n",
    "for i in xrange(0,n_comets):\n",
    "    rand = np.random.random()*2*np.pi\n",
    "    sim.add(m=m, r=r, a=a[i], e=e[i], inc=inc[i], Omega=0, omega=rand, f=rand)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need to move to the COM frame to avoid drifting out of our simulation box. Also, it is always good practice to monitor the change in energy over the course of a simulation, which requires us to calculate it before and after the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "sim.move_to_com()\n",
    "E0 = sim.energy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can visualize our setup using `rebound.OrbitPlot`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "op = rebound.OrbitPlot(sim,Narc=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let's simulate our system for and check that our final relative energy error is small. The energy error is a key measure of whether the integration was performed accurately or not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5543044854706415e-06\n"
     ]
    }
   ],
   "source": [
    "sim.integrate(tmax)\n",
    "dE = abs((sim.energy() - E0)/E0)\n",
    "print(dE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}