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@eteq
Created December 21, 2020 19:48
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Using Jupyter and Saturn* to find the 2020 conjunction of Jupiter and Saturn\n",
"\n",
"## **and a few other packages*\n",
"\n",
"The following is all that should be needed to install the relevant dependencies:\n",
"\n",
"`pip install saturn astropy matplotlib scipy timezonefinder`"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy import optimize\n",
"\n",
"from astropy import coordinates, time, units as u\n",
"\n",
"import saturn\n",
"\n",
"from timezonefinder import TimezoneFinder"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets first use Astropy to determine the distance between both planets at a given time:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"dec21 = time.Time('2020-12-21 0:00')\n",
"baltimore = coordinates.EarthLocation.of_address('Baltimore, MD, USA')\n",
"surrey = coordinates.EarthLocation.of_address('Surrey, UK')\n",
"melb = coordinates.EarthLocation.of_address('Melbourne, Australia')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$0^\\circ07{}^\\prime49.9092{}^{\\prime\\prime}$"
],
"text/plain": [
"<Angle 0.13053034 deg>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def body_separation(t, loc, body1='jupiter', body2='saturn'):\n",
" b1 = coordinates.get_body(body1, t)\n",
" b2 = coordinates.get_body(body2, t)\n",
" \n",
" aa = coordinates.AltAz(obstime=t, location=loc)\n",
" \n",
" a1 = b1.transform_to(aa)\n",
" a2 = b2.transform_to(aa)\n",
" \n",
" return a1.separation(a2)\n",
"\n",
"body_separation(dec21, baltimore)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And then use `numpy` with `astropy` `Quantity` objects to map it out over the day of the conjunction:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fc8dfe43ee0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dts = np.linspace(12, 24, 100)*u.hour\n",
"\n",
"plt.figure(figsize=(12, 8))\n",
"\n",
"plt.plot(dts, body_separation(dec21 + dts, baltimore).arcmin, label='Baltimore')\n",
"plt.plot(dts, body_separation(dec21 + dts, surrey).arcmin, label='Surrey')\n",
"plt.plot(dts, body_separation(dec21 + dts, melb).arcmin, label='Melbourne')\n",
"\n",
"plt.xlabel('Dec 21 hour UTC')\n",
"plt.ylabel('J-S separation [arcmin]')\n",
"plt.legend(loc=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Neat! But can we do better anmd find the exact time of minimum separation?"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 6.136017\n",
" Iterations: 16\n",
" Function evaluations: 32\n",
"Optimization terminated successfully.\n",
" Current function value: 6.134437\n",
" Iterations: 16\n",
" Function evaluations: 32\n",
"Optimization terminated successfully.\n",
" Current function value: 6.117285\n",
" Iterations: 16\n",
" Function evaluations: 32\n"
]
}
],
"source": [
"def to_optimize(x, loc):\n",
" return body_separation(dec21 + x[0]*u.hour, loc).arcmin\n",
"\n",
"balt_conjunction_time = dec21 + optimize.fmin(to_optimize, [18], args=(baltimore,))[0]*u.hour\n",
"surrey_conjunction_time = dec21 + optimize.fmin(to_optimize, [18], args=(surrey,))[0]*u.hour\n",
"melb_conjunction_time = dec21 + optimize.fmin(to_optimize, [18], args=(melb,))[0]*u.hour"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(<Time object: scale='utc' format='iso' value=2020-12-21 17:23:18.999>,\n",
" <Time object: scale='utc' format='iso' value=2020-12-21 17:28:28.879>,\n",
" <Time object: scale='utc' format='iso' value=2020-12-21 17:19:28.616>)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"balt_conjunction_time, surrey_conjunction_time, melb_conjunction_time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OK, that's nice, but its all in UTC. What you really care about is your local time. The below uses `timezonefinder` to identify the right timezones, but probably you know your own yourself..."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"('America/New_York', 'Europe/London', 'Australia/Melbourne')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def get_timezone(site):\n",
" tf = TimezoneFinder()\n",
" return tf.timezone_at(lng=site.geodetic.lon.degree, lat=site.geodetic.lat.degree)\n",
"\n",
"get_timezone(baltimore), get_timezone(surrey), get_timezone(melb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And now we can use `saturn` to easily localize these times!"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(datetime.datetime(2020, 12, 21, 12, 23, 18, 999023, tzinfo=<DstTzInfo 'America/New_York' EST-1 day, 19:00:00 STD>),\n",
" datetime.datetime(2020, 12, 21, 17, 28, 28, 879395, tzinfo=<DstTzInfo 'Europe/London' GMT0:00:00 STD>),\n",
" datetime.datetime(2020, 12, 22, 4, 19, 28, 615723, tzinfo=<DstTzInfo 'Australia/Melbourne' AEDT+11:00:00 DST>))"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"balt_local_conjunction_time = saturn.move_tz(saturn.fix_naive(balt_conjunction_time.datetime), get_timezone(baltimore))\n",
"surrey_local_conjunction_time = saturn.move_tz(saturn.fix_naive(surrey_conjunction_time.datetime), get_timezone(surrey))\n",
"melb_local_conjunction_time = saturn.move_tz(saturn.fix_naive(melb_conjunction_time.datetime), get_timezone(melb))\n",
"\n",
"balt_local_conjunction_time, surrey_local_conjunction_time, melb_local_conjunction_time"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"datetime.datetime(2020, 12, 21, 12, 23, 18, 999023, tzinfo=<DstTzInfo 'America/New_York' EST-1 day, 19:00:00 STD>)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dec21_balt = time.Time(saturn.datetime(2020,12, 21, tz=get_timezone(baltimore)))\n",
"dts = np.linspace(0, 24, 1000)*u.hour\n",
"\n",
"plt.figure(figsize=(12, 8))\n",
"plt.plot(dts, body_separation(dec21_balt + dts, baltimore).arcmin)\n",
"plt.axvline((balt_conjunction_time - dec21_balt).to(u.hour).value, ls='--')\n",
"plt.xlim(dts[0].value, dts[-1].value)\n",
"\n",
"plt.xlabel('Hour on Dec 21 (local time)')\n",
"plt.ylabel('J-S separation from Baltimore [arcmin]')\n",
"balt_local_conjunction_time"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"datetime.datetime(2020, 12, 21, 17, 28, 28, 879395, tzinfo=<DstTzInfo 'Europe/London' GMT0:00:00 STD>)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dec21_surrey = time.Time(saturn.datetime(2020,12, 21, tz=get_timezone(surrey)))\n",
"dts = np.linspace(0, 24, 1000)*u.hour\n",
"\n",
"plt.figure(figsize=(12, 8))\n",
"plt.plot(dts, body_separation(dec21_surrey + dts, surrey).arcmin)\n",
"plt.axvline((surrey_conjunction_time - dec21_surrey).to(u.hour).value, ls='--')\n",
"plt.xlim(dts[0].value, dts[-1].value)\n",
"\n",
"plt.xlabel('Hour on Dec 21 (local time)')\n",
"plt.ylabel('J-S separation from Surrey [arcmin]')\n",
"surrey_local_conjunction_time"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"datetime.datetime(2020, 12, 22, 4, 19, 28, 615723, tzinfo=<DstTzInfo 'Australia/Melbourne' AEDT+11:00:00 DST>)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dec21_melb = time.Time(saturn.datetime(2020,12, 21, tz=get_timezone(melb)))\n",
"dts = np.linspace(0, 48, 1000)*u.hour\n",
"\n",
"plt.figure(figsize=(12, 8))\n",
"plt.plot(dts, body_separation(dec21_melb + dts, melb).arcmin)\n",
"plt.axvline((surrey_conjunction_time - dec21_melb).to(u.hour).value, ls='--')\n",
"plt.xlim(dts[0].value, dts[-1].value)\n",
"\n",
"plt.xlabel('Hour after Dec 21 midnight (local time)')\n",
"plt.ylabel('J-S separation from Melbourne [arcmin]')\n",
"melb_local_conjunction_time"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python (astro)",
"language": "python",
"name": "astro"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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