{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lab 3 — Find a Planet in Noisy Starlight\n",
    "\n",
    "## Goal\n",
    "\n",
    "Recover the period and radius ratio of a synthetic transiting planet, while distinguishing a candidate signal from a confirmed interpretation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "The observation times are irregular and include daily gaps. The model is deliberately simple: a box-shaped transit, constant star, and independent Gaussian noise. Real light curves include limb darkening, stellar variability, dilution, and correlated systematics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-29T07:42:49.684693Z",
     "iopub.status.busy": "2026-07-29T07:42:49.684496Z",
     "iopub.status.idle": "2026-07-29T07:42:49.898018Z",
     "shell.execute_reply": "2026-07-29T07:42:49.897513Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "RNG = np.random.default_rng(42)\n",
    "TRUE_PERIOD_DAYS = 3.70\n",
    "TRUE_EPOCH_DAYS = 0.80\n",
    "TRUE_DURATION_DAYS = 0.16\n",
    "TRUE_DEPTH = 0.012\n",
    "NOISE_SIGMA = 0.003\n",
    "\n",
    "candidate_times = np.sort(RNG.uniform(0.0, 40.0, 1200))\n",
    "times_days = candidate_times[(candidate_times % 1.0) < 0.72]\n",
    "\n",
    "def circular_time_distance(times, epoch, period):\n",
    "    return np.abs((times - epoch + period / 2) % period - period / 2)\n",
    "\n",
    "def box_transit(times, period, epoch, duration, depth):\n",
    "    in_transit = circular_time_distance(times, epoch, period) < duration / 2\n",
    "    return 1.0 - depth * in_transit.astype(float)\n",
    "\n",
    "true_flux = box_transit(\n",
    "    times_days, TRUE_PERIOD_DAYS, TRUE_EPOCH_DAYS, TRUE_DURATION_DAYS, TRUE_DEPTH\n",
    ")\n",
    "observed_flux = true_flux + RNG.normal(0.0, NOISE_SIGMA, len(times_days))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Steps\n",
    "\n",
    "### 1. Look at the raw time series\n",
    "\n",
    "The signal is only 1.2%, and individual noisy points do not announce a planet."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-29T07:42:49.899283Z",
     "iopub.status.busy": "2026-07-29T07:42:49.899189Z",
     "iopub.status.idle": "2026-07-29T07:42:49.953611Z",
     "shell.execute_reply": "2026-07-29T07:42:49.953168Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1100x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "observations: 861\n",
      "single-point noise: 0.300%\n"
     ]
    }
   ],
   "source": [
    "fig, axis = plt.subplots(figsize=(11, 4))\n",
    "axis.scatter(times_days, observed_flux, s=9, alpha=0.65)\n",
    "axis.set(xlabel=\"time [days]\", ylabel=\"relative flux\", title=\"Irregular noisy light curve\")\n",
    "axis.grid(alpha=0.2)\n",
    "plt.show()\n",
    "print(f\"observations: {len(times_days)}\")\n",
    "print(f\"single-point noise: {NOISE_SIGMA:.3%}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Search trial periods and epochs\n",
    "\n",
    "For each period, scan possible transit centers. The score is fitted depth divided by an approximate uncertainty in the in-transit mean. Because we maximize over many trials, it is a search statistic—not automatically a calibrated false-alarm probability."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-29T07:42:49.954981Z",
     "iopub.status.busy": "2026-07-29T07:42:49.954887Z",
     "iopub.status.idle": "2026-07-29T07:42:50.163229Z",
     "shell.execute_reply": "2026-07-29T07:42:50.162795Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "best period: 3.7027 days (injected 3.7000)\n",
      "best depth: 0.0121 ± 0.0005 (approx.)\n"
     ]
    }
   ],
   "source": [
    "def best_box_at_period(times, flux, period, duration, noise_sigma, epoch_steps=70):\n",
    "    epochs = np.linspace(0.0, period, epoch_steps, endpoint=False)\n",
    "    distances = np.abs(\n",
    "        (times[None, :] - epochs[:, None] + period / 2) % period - period / 2\n",
    "    )\n",
    "    masks = distances < duration / 2\n",
    "    counts_in = masks.sum(axis=1)\n",
    "    counts_out = len(times) - counts_in\n",
    "    valid = (counts_in >= 8) & (counts_out >= 20)\n",
    "\n",
    "    sums_in = masks @ flux\n",
    "    sums_out = (~masks) @ flux\n",
    "    depths = np.full(len(epochs), -np.inf)\n",
    "    uncertainties = np.full(len(epochs), np.inf)\n",
    "    depths[valid] = (\n",
    "        sums_out[valid] / counts_out[valid] - sums_in[valid] / counts_in[valid]\n",
    "    )\n",
    "    uncertainties[valid] = noise_sigma * np.sqrt(\n",
    "        1 / counts_in[valid] + 1 / counts_out[valid]\n",
    "    )\n",
    "    scores = np.full(len(epochs), -np.inf)\n",
    "    scores[valid] = depths[valid] / uncertainties[valid]\n",
    "    best = int(np.argmax(scores))\n",
    "    return scores[best], epochs[best], depths[best], uncertainties[best]\n",
    "\n",
    "trial_periods = np.linspace(2.5, 5.2, 450)\n",
    "search_results = np.array([\n",
    "    best_box_at_period(\n",
    "        times_days, observed_flux, period, TRUE_DURATION_DAYS, NOISE_SIGMA\n",
    "    )\n",
    "    for period in trial_periods\n",
    "])\n",
    "search_scores = search_results[:, 0]\n",
    "best_index = int(np.argmax(search_scores))\n",
    "best_period = trial_periods[best_index]\n",
    "best_epoch = search_results[best_index, 1]\n",
    "best_depth = search_results[best_index, 2]\n",
    "best_depth_error = search_results[best_index, 3]\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(9, 4))\n",
    "axis.plot(trial_periods, search_scores)\n",
    "axis.axvline(TRUE_PERIOD_DAYS, color=\"darkorange\", linestyle=\"--\", label=\"injected period\")\n",
    "axis.axvline(best_period, color=\"black\", linestyle=\":\", label=\"highest score\")\n",
    "axis.set(xlabel=\"trial period [days]\", ylabel=\"box-search score\",\n",
    "         title=\"Period search across many hypotheses\")\n",
    "axis.grid(alpha=0.2)\n",
    "axis.legend()\n",
    "plt.show()\n",
    "\n",
    "print(f\"best period: {best_period:.4f} days (injected {TRUE_PERIOD_DAYS:.4f})\")\n",
    "print(f\"best depth: {best_depth:.4f} ± {best_depth_error:.4f} (approx.)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Fold the data on the recovered period\n",
    "\n",
    "Folding overlays repeated events. If the period is correct, transit points accumulate at the same phase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-29T07:42:50.164345Z",
     "iopub.status.busy": "2026-07-29T07:42:50.164257Z",
     "iopub.status.idle": "2026-07-29T07:42:50.209426Z",
     "shell.execute_reply": "2026-07-29T07:42:50.209010Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def phase_fold(times, period, epoch):\n",
    "    return ((times - epoch + period / 2) % period) / period - 0.5\n",
    "\n",
    "phases = phase_fold(times_days, best_period, best_epoch)\n",
    "order = np.argsort(phases)\n",
    "phase_model = box_transit(\n",
    "    phases[order] * best_period,\n",
    "    best_period,\n",
    "    0.0,\n",
    "    TRUE_DURATION_DAYS,\n",
    "    best_depth,\n",
    ")\n",
    "\n",
    "fig, axis = plt.subplots(figsize=(9, 4))\n",
    "axis.scatter(phases, observed_flux, s=11, alpha=0.55, label=\"observations\")\n",
    "axis.plot(phases[order], phase_model, color=\"darkorange\", linewidth=2.5, label=\"best box model\")\n",
    "axis.set(xlabel=\"orbital phase\", ylabel=\"relative flux\", title=\"Light curve folded on recovered period\")\n",
    "axis.set_xlim(-0.18, 0.18)\n",
    "axis.grid(alpha=0.2)\n",
    "axis.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. Infer radius ratio—and name the assumptions\n",
    "\n",
    "For a small planet and a uniform stellar disk, $R_p/R_\\star\\approx\\sqrt{\\delta}$. Limb darkening, dilution, impact parameter, and stellar-radius uncertainty make a real inference more complex."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-29T07:42:50.210513Z",
     "iopub.status.busy": "2026-07-29T07:42:50.210452Z",
     "iopub.status.idle": "2026-07-29T07:42:50.212233Z",
     "shell.execute_reply": "2026-07-29T07:42:50.211925Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "inferred Rp/Rstar: 0.1099 ± 0.0024 (approx.)\n",
      "injected Rp/Rstar: 0.1095\n"
     ]
    }
   ],
   "source": [
    "radius_ratio = np.sqrt(max(best_depth, 0.0))\n",
    "radius_ratio_error = best_depth_error / (2 * radius_ratio)\n",
    "print(f\"inferred Rp/Rstar: {radius_ratio:.4f} ± {radius_ratio_error:.4f} (approx.)\")\n",
    "print(f\"injected Rp/Rstar: {np.sqrt(TRUE_DEPTH):.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Checks\n",
    "\n",
    "These checks verify recovery for the deterministic synthetic dataset. They do not validate the simplified model for real stars."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-07-29T07:42:50.213212Z",
     "iopub.status.busy": "2026-07-29T07:42:50.213158Z",
     "iopub.status.idle": "2026-07-29T07:42:50.214798Z",
     "shell.execute_reply": "2026-07-29T07:42:50.214475Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Checks passed: period and depth recovered for this synthetic light curve.\n"
     ]
    }
   ],
   "source": [
    "period_resolution = trial_periods[1] - trial_periods[0]\n",
    "assert abs(best_period - TRUE_PERIOD_DAYS) < 3 * period_resolution\n",
    "assert abs(best_depth - TRUE_DEPTH) < 5 * best_depth_error\n",
    "assert search_scores[best_index] > 5\n",
    "print(\"Checks passed: period and depth recovered for this synthetic light curve.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Next Steps\n",
    "\n",
    "1. Increase `NOISE_SIGMA`, regenerate the data, and find when recovery becomes unreliable.\n",
    "2. Randomly permute flux values 100 times and record the maximum score from each full search. Compare the real maximum with that empirical null distribution.\n",
    "3. Add a sinusoidal starspot signal. Why does shuffling no longer create a realistic null model?\n",
    "4. Compare odd and even events to look for an eclipsing-binary false positive.\n",
    "\n",
    "**Frontier connection:** detecting a planet is only the beginning. Atmosphere and habitability claims require stellar characterization, spectroscopy, climate and chemistry models, and aggressive tests of alternative explanations."
   ]
  }
 ],
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