{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "43a9c218",
   "metadata": {},
   "source": [
    "# 09 · Física e investigación espacial\n",
    "\n",
    "Desde deducir ecuaciones hasta simular órbitas, Python cubre todo el ciclo de la ciencia física: **SymPy** hace\n",
    "el álgebra, **SciPy** resuelve lo que no tiene solución cerrada, **NumPy** analiza señales y **Astropy**, la\n",
    "biblioteca comunitaria de la astronomía, mantiene correctas las unidades y las constantes.\n",
    "\n",
    "**Aprenderás**\n",
    "1. Matemáticas simbólicas: deducir la ecuación de movimiento de un péndulo con SymPy\n",
    "2. Simulación numérica: resolverla con SciPy y ver dónde falla la aproximación de los libros de texto\n",
    "3. Análisis de señales: recuperar la frecuencia de un péndulo con la transformada de Fourier\n",
    "4. Unidades y constantes con Astropy, y la tercera ley de Kepler comprobada con los planetas reales\n",
    "5. Integrar una órbita y validarla con la conservación de la energía y del momento angular\n",
    "6. Coordenadas celestes: convertir entre sistemas de referencia"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "001a9c09",
   "metadata": {},
   "source": [
    "## 1. Deducir la ecuación de movimiento de forma simbólica\n",
    "Para un péndulo de longitud $L$, el lagrangiano es la energía cinética menos la potencial,\n",
    "$\\mathcal{L} = \\tfrac12 m L^2 \\dot\\theta^2 + m g L \\cos\\theta$. La ecuación de Euler-Lagrange da el movimiento;\n",
    "SymPy hace el cálculo."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "69e4ca63",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:11:50.318510Z",
     "iopub.status.busy": "2026-10-18T10:11:50.318002Z",
     "iopub.status.idle": "2026-10-18T10:11:51.486835Z",
     "shell.execute_reply": "2026-10-18T10:11:51.484830Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - \\frac{g \\sin{\\left(\\theta{\\left(t \\right)} \\right)}}{L} = \\frac{d^{2}}{d t^{2}} \\theta{\\left(t \\right)}$"
      ],
      "text/plain": [
       "Eq(-g*sin(theta(t))/L, Derivative(theta(t), (t, 2)))"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sympy as sp\n",
    "\n",
    "t = sp.symbols(\"t\")\n",
    "m, g, L = sp.symbols(\"m g L\", positive=True)\n",
    "theta = sp.Function(\"theta\")(t)\n",
    "lagrangian = sp.Rational(1, 2) * m * L**2 * theta.diff(t)**2 + m * g * L * sp.cos(theta)\n",
    "euler_lagrange = sp.diff(lagrangian.diff(theta.diff(t)), t) - lagrangian.diff(theta)\n",
    "eq = sp.Eq(sp.solve(euler_lagrange, theta.diff(t, 2))[0], theta.diff(t, 2))\n",
    "eq"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "106a8092",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:11:51.491193Z",
     "iopub.status.busy": "2026-10-18T10:11:51.490641Z",
     "iopub.status.idle": "2026-10-18T10:11:51.708098Z",
     "shell.execute_reply": "2026-10-18T10:11:51.706167Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Eq(theta(t), theta0*cos(sqrt(g)*t/sqrt(L)))\n",
      "periodo con ángulos pequeños: 2*pi*sqrt(L)/sqrt(g)\n"
     ]
    }
   ],
   "source": [
    "# for small angles sin(θ) ≈ θ and the equation has a closed-form solution with period 2π√(L/g)\n",
    "theta0 = sp.symbols(\"theta0\")\n",
    "small = sp.dsolve(theta.diff(t, 2) + g / L * theta, theta, ics={theta.subs(t, 0): theta0, theta.diff(t).subs(t, 0): 0})\n",
    "print(small)\n",
    "print(\"periodo con ángulos pequeños:\", sp.simplify(2 * sp.pi / sp.sqrt(g / L)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70889d64",
   "metadata": {},
   "source": [
    "## 2. Simular el péndulo completo\n",
    "La ecuación real $\\ddot\\theta = -\\tfrac{g}{L}\\sin\\theta$ no tiene solución elemental. `scipy.integrate.solve_ivp`\n",
    "la integra numéricamente. Compararla con la fórmula de ángulos pequeños muestra cuándo basta la aproximación de\n",
    "los libros de texto."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2e8796d4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:11:51.712348Z",
     "iopub.status.busy": "2026-10-18T10:11:51.711945Z",
     "iopub.status.idle": "2026-10-18T10:12:04.518900Z",
     "shell.execute_reply": "2026-10-18T10:12:04.516989Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1100x340 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "error del periodo de ángulos pequeños: 0.19% a 10°, 7.3% a 60°\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from scipy.integrate import solve_ivp\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "G, LEN = 9.81, 1.0\n",
    "def pendulum(t, y):\n",
    "    th, om = y\n",
    "    return [om, -G / LEN * np.sin(th)]\n",
    "\n",
    "t_eval = np.linspace(0, 10, 4000)\n",
    "fig, ax = plt.subplots(1, 2, figsize=(11, 3.4))\n",
    "for amp_deg, color in [(10, \"#0ea5e9\"), (60, \"#f59e0b\"), (150, \"#ef4444\")]:\n",
    "    amp = np.radians(amp_deg)\n",
    "    sol = solve_ivp(pendulum, (0, 10), [amp, 0], t_eval=t_eval, rtol=1e-9, atol=1e-9)\n",
    "    ax[0].plot(sol.t, np.degrees(sol.y[0]), color=color, label=f\"{amp_deg}° (numérico)\")\n",
    "    ax[0].plot(t_eval, amp_deg * np.cos(np.sqrt(G / LEN) * t_eval), \"--\", color=color, alpha=.5)\n",
    "ax[0].set_xlabel(\"tiempo (s)\"); ax[0].set_ylabel(\"ángulo (°)\"); ax[0].legend(fontsize=8); ax[0].set_title(\"continua: exacta; discontinua: ángulos pequeños\")\n",
    "\n",
    "# period as a function of amplitude, measured from the simulation\n",
    "amps = np.radians(np.linspace(5, 170, 34))\n",
    "def period(amp):\n",
    "    s = solve_ivp(pendulum, (0, 20), [amp, 0], events=lambda t, y: y[1], rtol=1e-10, atol=1e-10, dense_output=True)\n",
    "    crossings = [tc for tc in s.t_events[0] if tc > 1e-6]\n",
    "    return 2 * crossings[0]              # la velocidad es cero en cada punto de retorno, separados medio periodo\n",
    "T0 = 2 * np.pi * np.sqrt(LEN / G)\n",
    "ax[1].plot(np.degrees(amps), [period(a) / T0 for a in amps], \"o-\", ms=3)\n",
    "ax[1].set_xlabel(\"amplitud (°)\"); ax[1].set_ylabel(\"periodo / periodo de ángulos pequeños\"); ax[1].set_title(\"El periodo crece con la amplitud\")\n",
    "plt.tight_layout(); plt.show()\n",
    "print(f\"error del periodo de ángulos pequeños: {100 * (period(np.radians(10)) / T0 - 1):.2f}% a 10°, \"\n",
    "      f\"{100 * (period(np.radians(60)) / T0 - 1):.1f}% a 60°\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "942c8985",
   "metadata": {},
   "source": [
    "## 3. Encontrar la frecuencia con una transformada de Fourier\n",
    "Los experimentos dan medidas con ruido, no ecuaciones. La transformada rápida de Fourier (FFT) encuentra la\n",
    "frecuencia dominante de una señal ruidosa."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "08b2632a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:04.523276Z",
     "iopub.status.busy": "2026-10-18T10:12:04.522785Z",
     "iopub.status.idle": "2026-10-18T10:12:05.443643Z",
     "shell.execute_reply": "2026-10-18T10:12:05.441711Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "frecuencia dominante 0.4833 Hz -> periodo 2.069 s (simulación: 2.041 s)\n",
      "resolución en frecuencia de una grabación de 60 s: 0.0167 Hz, así que la estimación es exacta dentro de un intervalo de frecuencia; graba más tiempo para afinar más\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rng = np.random.default_rng(0)\n",
    "amp = np.radians(30)\n",
    "fs, duration = 100, 60                            # 100 muestras por segundo, un minuto\n",
    "tt = np.arange(0, duration, 1 / fs)\n",
    "signal = solve_ivp(pendulum, (0, duration), [amp, 0], t_eval=tt, rtol=1e-9).y[0]\n",
    "measured = signal + rng.normal(0, 0.08, tt.size)   # ruido del sensor\n",
    "\n",
    "spectrum = np.abs(np.fft.rfft(measured * np.hanning(tt.size)))\n",
    "freqs = np.fft.rfftfreq(tt.size, 1 / fs)\n",
    "f_peak = freqs[np.argmax(spectrum[1:]) + 1]\n",
    "print(f\"frecuencia dominante {f_peak:.4f} Hz -> periodo {1 / f_peak:.3f} s (simulación: {period(amp):.3f} s)\")\n",
    "print(f\"resolución en frecuencia de una grabación de {duration} s: {1 / duration:.4f} Hz, así que la estimación es exacta \"\n",
    "      \"dentro de un intervalo de frecuencia; graba más tiempo para afinar más\")\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(11, 3))\n",
    "ax[0].plot(tt[:500], measured[:500], lw=.8); ax[0].set_xlabel(\"tiempo (s)\"); ax[0].set_title(\"medida con ruido\")\n",
    "ax[1].plot(freqs, spectrum); ax[1].set_xlim(0, 2); ax[1].set_xlabel(\"frecuencia (Hz)\"); ax[1].set_title(\"espectro de amplitud\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "113e7087",
   "metadata": {},
   "source": [
    "## 4. Unidades, constantes y la tercera ley de Kepler con Astropy\n",
    "Los errores de unidades han destruido naves espaciales. Astropy asocia unidades a los números, los convierte y\n",
    "se niega a sumar magnitudes incompatibles. La tercera ley de Kepler dice que $T^2 = \\frac{4\\pi^2}{G M_\\odot} a^3$:\n",
    "el cuadrado del periodo orbital de un planeta crece con el cubo de su distancia al Sol."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d3322d76",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:05.448254Z",
     "iopub.status.busy": "2026-10-18T10:12:05.447771Z",
     "iopub.status.idle": "2026-10-18T10:12:06.020224Z",
     "shell.execute_reply": "2026-10-18T10:12:06.018529Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Name   = Gravitational constant\n",
      "  Value  = 6.6743e-11\n",
      "  Uncertainty  = 1.5e-15\n",
      "  Unit  = m3 / (kg s2)\n",
      "  Reference = CODATA 2022 \n",
      "   Name   = Solar mass\n",
      "  Value  = 1.988409870698051e+30\n",
      "  Uncertainty  = 4.468805426856864e+25\n",
      "  Unit  = kg\n",
      "  Reference = IAU 2015 Resolution B 3 + CODATA 2022 \n",
      " 149597870.7 km | 63241.07708426628 AU\n",
      "rechazado: Can only apply 'add' function to quantities with compatible dimensions\n",
      "\n",
      "planeta   observado (a)   Kepler (a)    error\n",
      "Mercury           0.241        0.241    0.00%\n",
      "Venus             0.615        0.615   -0.01%\n",
      "Earth             1.000        1.000    0.00%\n",
      "Mars              1.881        1.881    0.00%\n",
      "Jupiter          11.862       11.870    0.06%\n",
      "Saturn           29.457       29.453   -0.01%\n",
      "Uranus           84.021       84.073    0.06%\n",
      "Neptune         164.769      164.887    0.07%\n"
     ]
    }
   ],
   "source": [
    "import astropy.units as u\n",
    "from astropy import constants as const\n",
    "\n",
    "print(const.G, \"\\n\", const.M_sun, \"\\n\", (1 * u.au).to(u.km), \"|\", (1 * u.lyr).to(u.au))\n",
    "try:\n",
    "    1 * u.m + 1 * u.s\n",
    "except u.UnitConversionError as e:\n",
    "    print(\"rechazado:\", e)\n",
    "\n",
    "# semi-major axes (AU) and observed sidereal orbital periods (days)\n",
    "planets = {\"Mercury\": (0.3871, 87.969), \"Venus\": (0.7233, 224.701), \"Earth\": (1.0000, 365.256),\n",
    "           \"Mars\": (1.5237, 686.980), \"Jupiter\": (5.2034, 4332.59), \"Saturn\": (9.5371, 10759.22),\n",
    "           \"Uranus\": (19.191, 30688.5), \"Neptune\": (30.069, 60182.0)}\n",
    "print(f\"\\n{'planeta':<9}{'observado (a)':>14}{'Kepler (a)':>13}{'error':>9}\")\n",
    "for name, (a_au, t_days) in planets.items():\n",
    "    predicted = (2 * np.pi * np.sqrt((a_au * u.au) ** 3 / (const.G * const.M_sun))).to(u.yr)\n",
    "    observed = (t_days * u.day).to(u.yr)\n",
    "    print(f\"{name:<9}{observed.value:>14.3f}{predicted.value:>13.3f}{100 * (predicted / observed - 1).value:>8.2f}%\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1e3c682",
   "metadata": {},
   "source": [
    "## 5. Integrar una órbita y comprobarla con leyes de conservación\n",
    "Lanzamos un satélite a una órbita elíptica alrededor de la Tierra e integramos la ley de la gravitación de\n",
    "Newton. Una solución numérica solo es fiable si respeta la física: la **energía** y el **momento angular**\n",
    "deben mantenerse constantes. Comparar una integración descuidada con una precisa muestra por qué importan las\n",
    "tolerancias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "988cd5f6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:06.024927Z",
     "iopub.status.busy": "2026-10-18T10:12:06.024410Z",
     "iopub.status.idle": "2026-10-18T10:12:06.875636Z",
     "shell.execute_reply": "2026-10-18T10:12:06.873998Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rtol=0.001: 56 pasos, deriva relativa de la energía 2.5e-02, deriva del momento angular 1.1e-02\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rtol=1e-10: 1093 pasos, deriva relativa de la energía 7.8e-10, deriva del momento angular 3.0e-10\n",
      "tras un día, la integración poco precisa sitúa el satélite a 3,834 km de donde realmente está\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu = (const.G * const.M_earth).to(u.km**3 / u.s**2).value      # parámetro gravitatorio de la Tierra, km^3/s^2\n",
    "r0 = 6378 + 500                                                  # 500 km de altitud, en km\n",
    "v_circ = np.sqrt(mu / r0)\n",
    "state0 = [r0, 0, 0, 1.25 * v_circ]                               # un 25% más rápido que la circular: una elipse\n",
    "\n",
    "def two_body(t, s):\n",
    "    x, y, vx, vy = s\n",
    "    r3 = (x * x + y * y) ** 1.5\n",
    "    return [vx, vy, -mu * x / r3, -mu * y / r3]\n",
    "\n",
    "T_orbit = 24 * 3600                                               # un día, unas 4,4 órbitas\n",
    "tt = np.linspace(0, T_orbit, 4000)\n",
    "def run(rtol):\n",
    "    sol = solve_ivp(two_body, (0, T_orbit), state0, rtol=rtol, atol=min(rtol * 1e-3, 1e-6), dense_output=True)\n",
    "    x, y, vx, vy = sol.sol(tt)                                    # evaluar la solución en una malla fina\n",
    "    energy = 0.5 * (vx**2 + vy**2) - mu / np.hypot(x, y)\n",
    "    h = x * vy - y * vx\n",
    "    return sol, (x, y), energy, h\n",
    "\n",
    "fig, ax = plt.subplots(1, 2, figsize=(11, 4))\n",
    "final = {}\n",
    "for rtol, color in [(1e-3, \"#ef4444\"), (1e-10, \"#22c55e\")]:\n",
    "    sol, (x, y), energy, h = run(rtol)\n",
    "    final[rtol] = np.array([x[-1], y[-1]])\n",
    "    ax[0].plot(x, y, color=color, lw=.8, label=f\"rtol={rtol:g} ({sol.t.size} pasos)\")\n",
    "    ax[1].plot(tt / 3600, (energy - energy[0]) / abs(energy[0]), color=color, label=f\"rtol={rtol:g}\")\n",
    "    print(f\"rtol={rtol:g}: {sol.t.size} pasos, deriva relativa de la energía {abs(energy[-1] / energy[0] - 1):.1e}, \"\n",
    "          f\"deriva del momento angular {abs(h[-1] / h[0] - 1):.1e}\")\n",
    "print(f\"tras un día, la integración poco precisa sitúa el satélite a {np.linalg.norm(final[1e-3] - final[1e-10]):,.0f} km \"\n",
    "      \"de donde realmente está\")\n",
    "ax[0].add_patch(plt.Circle((0, 0), 6378, color=\"#3b82f6\")); ax[0].set_aspect(\"equal\"); ax[0].legend(); ax[0].set_title(\"órbita (km)\")\n",
    "ax[1].set_xlabel(\"horas\"); ax[1].set_ylabel(\"error relativo de la energía\"); ax[1].legend(); ax[1].set_title(\"comprobación de la conservación\")\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aedbf9b9",
   "metadata": {},
   "source": [
    "## 6. Coordenadas celestes\n",
    "Los astrónomos describen posiciones en distintos sistemas de referencia: ecuatorial (ascensión recta,\n",
    "declinación), galáctico, eclíptico. Astropy convierte entre ellos."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "96f652b2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-18T10:12:06.879727Z",
     "iopub.status.busy": "2026-10-18T10:12:06.879353Z",
     "iopub.status.idle": "2026-10-18T10:12:07.347231Z",
     "shell.execute_reply": "2026-10-18T10:12:07.345385Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sirius                   RA  101.29°  Dec -16.72°  ->  galactic l  227.23°  b  -8.89°\n",
      "Betelgeuse               RA   88.79°  Dec   7.41°  ->  galactic l  199.79°  b  -8.96°\n",
      "Galaxia de Andrómeda (M31) RA   10.68°  Dec  41.27°  ->  galactic l  121.17°  b -21.57°\n",
      "separación angular Sirius-Betelgeuse: 27d06m15.8s\n"
     ]
    }
   ],
   "source": [
    "from astropy.coordinates import SkyCoord\n",
    "\n",
    "targets = {\"Sirius\": (\"06h45m08.9s\", \"-16d42m58s\"), \"Betelgeuse\": (\"05h55m10.3s\", \"+07d24m25s\"),\n",
    "           \"Galaxia de Andrómeda (M31)\": (\"00h42m44.3s\", \"+41d16m09s\")}\n",
    "for name, (ra, dec) in targets.items():\n",
    "    c = SkyCoord(ra, dec, frame=\"icrs\")\n",
    "    gal = c.galactic\n",
    "    print(f\"{name:<24} RA {c.ra.deg:7.2f}°  Dec {c.dec.deg:6.2f}°  ->  galactic l {gal.l.deg:7.2f}°  b {gal.b.deg:6.2f}°\")\n",
    "sirius, betel = SkyCoord(*targets[\"Sirius\"]), SkyCoord(*targets[\"Betelgeuse\"])\n",
    "print(\"separación angular Sirius-Betelgeuse:\", sirius.separation(betel).to_string(unit=u.deg, precision=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "834b05e8",
   "metadata": {},
   "source": [
    "## Bibliotecas que conviene conocer\n",
    "| Área | Bibliotecas |\n",
    "|---|---|\n",
    "| matemáticas simbólicas | SymPy |\n",
    "| simulación, EDO, optimización | SciPy, JAX (simulación diferenciable) |\n",
    "| astronomía | Astropy, astroquery (consultas a archivos), Skyfield (efemérides precisas), poliastro/hapsira (astrodinámica), lightkurve (curvas de luz de Kepler/TESS) |\n",
    "| física de partículas y nuclear | uproot, awkward-array, scikit-hep |\n",
    "| fluidos, elementos finitos | FEniCS, PyClaw |\n",
    "| computación cuántica | Qiskit, Cirq, PennyLane |\n",
    "\n",
    "## Ejercicios\n",
    "1. Añade resistencia del aire (un término $-c\\,\\dot\\theta$) al péndulo y mide cómo decae la amplitud.\n",
    "2. Aumenta la velocidad de lanzamiento a 1,45 veces la circular. ¿Sigue siendo una órbita ligada? Mira el signo de la energía.\n",
    "3. Usa la tabla de planetas para ajustar $\\log T$ frente a $\\log a$ con NumPy y recuperar el exponente 3/2."
   ]
  }
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