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@nstarman
Created October 11, 2019 18:52
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# test DehnenSphericalPotential implementation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```markdown\n",
"TITLE : test DehnenSphericalPotential implementation\n",
"AUTHOR : Nathaniel Starkman\n",
"PROJECT : Eridanus PBH\n",
"```\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br><br>\n",
"\n",
"- - - \n",
"- - - \n",
"\n",
"<br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Prepare"
]
},
{
"cell_type": "markdown",
"metadata": {
"inputHidden": false,
"outputHidden": false
},
"source": [
"## Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"base_imports:\n",
" Base: os, sys, time, pdb, warnings,\n",
" numpy -> np, scipy,\n",
" tqdm_notebook -> tqdm\n",
" Logging: .LogFile\n",
" Misc: ObjDict\n",
" IPython: display, Latex, Markdown, set_trace,\n",
" printmd, printMD, printltx, printLaTeX,\n",
" configure_matplotlib,\n",
" set_autoreload, aimport,\n",
" run_imports, import_from_file,\n",
"\n",
"Imported from Astropy:\n",
" astropy, .units->u, .coordinates->coords, .SkyCoord, .Table, .QTable\n",
"\n",
"Imported from Matplotlib:\n",
" starkplot->plt, .mpl_decorator\n",
" matplotlib->mpl, .colors, .cm\n",
" configure_matplotlib\n",
"\n",
"Imported from galpy:\n",
" potential, .MWPotential2014\n",
" galpy.orbit.Orbit\n",
" galpy.util: bovy_conversion, bovy_coords\n",
"\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/geir_data/scr/nstarkman/Research/Eridanus_PBH/envs/Eridanus_PBH/lib/python3.7/site-packages/astroPHD/ipython/import_files/matplotlib_imports.py:28: UserWarning: Cannot import starkplot, using matplotlib.pyplot instead.\n",
"mpl_decorator will not work.\n",
" warnings.warn('Cannot import starkplot, using matplotlib.pyplot instead.' +\n"
]
}
],
"source": [
"from astroPHD import ipython\n",
"ipython.run_imports(base=True, astropy=True, matplotlib=True, galpy=True,\n",
"# amuse=True\n",
")\n",
"\n",
"## General\n",
"from galpy.potential import (DehnenSphericalPotential,\n",
" HernquistPotential, JaffePotential,\n",
" TwoPowerSphericalPotential)\n",
"\n",
"# amuse\n",
"import sys; sys.path.append('/home/bovy/local/lib/python3.6/site-packages')\n",
"from amuse import units\n",
"\n",
"\n",
"## Custom\n",
"\n",
"## Project-Specific"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Parameters"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"t = np.linspace(0, 200, 1000) * u.Myr\n",
"eps = 1e-3"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"mass = 1e12 * u.solMass\n",
"a = 1."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"alpha_hern = 1.\n",
"alpha_jaffe = 2."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br><br>\n",
"\n",
"- - - \n",
"- - - \n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparing Dehnen Potential"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dehnen and Hernquist"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Hernquist potential has $\\alpha=1.$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Hernquist**"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"pot_hern = HernquistPotential(amp=mass*(3-alpha_hern), a=a)\n",
"o_hern = Orbit()\n",
"o_hern.integrate(t, pot_hern)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Dehnen**"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false,
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2000000000000.0 solMass\n",
"22.21548176689037\n",
"galpyWarning: Cannot use C integration because some of the potentials are not implemented in C (using leapfrog instead)\n"
]
}
],
"source": [
"pot_dehnen_hern = DehnenSphericalPotential(amp=mass, a=a, alpha=alpha_hern)\n",
"o_dehnen_hern = Orbit()\n",
"o_dehnen_hern.integrate(t, pot_dehnen_hern)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa04a4f83c8>]"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa04a53acf8>]"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 265,
"width": 397
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"o_hern.plot(c='k', lw=.5)\n",
"o_dehnen_hern.plot(overplot=True, c='g', ls=':', lw=.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"They are close except that Dehnen does not have a C implementation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Perturbing"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1999000000000.0 solMass\n",
"22.204374026006928\n"
]
}
],
"source": [
"pot_dehnen_hern_pert = DehnenSphericalPotential(amp=mass, a=a, alpha=alpha_hern + eps)\n",
"o_dehnen_hern_pert = Orbit()\n",
"o_dehnen_hern_pert.integrate(t, pot_dehnen_hern_pert)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Is the pert good?\n",
" Dehnen=Hernquist: True\n",
" Dehnen perturbation: True\n",
" Hernquist perturbation: True\n",
"\n"
]
}
],
"source": [
"print(f\"\"\"Is the pert good?\n",
" Dehnen=Hernquist: {pot_hern._amp == pot_dehnen_hern._amp}\n",
" Dehnen perturbation: {np.allclose(pot_dehnen_hern_pert._amp / pot_dehnen_hern._amp, (3 - alpha_hern - eps) / (3 - alpha_hern))}\n",
" Hernquist perturbation: {np.allclose(pot_dehnen_hern_pert._amp / pot_hern._amp, (3 - alpha_hern - eps) / (3 - alpha_hern))}\n",
"\"\"\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dehnen and Jaffe"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Jaffe potential has $\\alpha=2.$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Jaffe"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"pot_jaffe = JaffePotential(amp=mass, a=a)\n",
"o_jaffe = Orbit()\n",
"o_jaffe.integrate(t, pot_jaffe)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Dehnen"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false,
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1000000000000.0 solMass\n",
"11.107740883445185\n"
]
}
],
"source": [
"pot_dehnen_jaffe = DehnenSphericalPotential(amp=mass, a=a, alpha=alpha_jaffe)\n",
"o_dehnen_jaffe = Orbit()\n",
"o_dehnen_jaffe.integrate(t, pot_dehnen_jaffe)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa04a345668>]"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa04a345b38>]"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 265,
"width": 397
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"o_jaffe.plot(c='k')\n",
"o_dehnen_jaffe.plot(overplot=True, ls=':', c='g')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Perturbing"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"999000000000.0001 solMass\n",
"11.096633142561743\n"
]
}
],
"source": [
"pot_dehnen_jaffe_pert = DehnenSphericalPotential(amp=mass, a=a, alpha=alpha_jaffe + eps)\n",
"o_dehnen_jaffe_pert = Orbit()\n",
"o_dehnen_jaffe_pert.integrate(t, pot_dehnen_jaffe_pert)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Is the pert good?\n",
" Dehnen=Jaffe: True\n",
" Dehnen perturbation: True\n",
" Jaffe perturbation: True\n",
"\n"
]
}
],
"source": [
"print(f\"\"\"Is the pert good?\n",
" Dehnen=Jaffe: {pot_jaffe._amp == pot_dehnen_jaffe._amp}\n",
" Dehnen perturbation: {np.allclose(pot_dehnen_jaffe_pert._amp / pot_dehnen_jaffe._amp, (3 - alpha_jaffe - eps) / (3 - alpha_jaffe))}\n",
" Jaffe perturbation: {np.allclose(pot_dehnen_jaffe_pert._amp / pot_jaffe._amp, (3 - alpha_jaffe - eps) / (3 - alpha_jaffe))}\n",
"\"\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dehnen & DoublePower"
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {},
"outputs": [],
"source": [
"alpha_2psp = 1.1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Dehnen"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false,
"inputHidden": false,
"outputHidden": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1900000000000.0 solMass\n",
"21.104707678545854\n"
]
}
],
"source": [
"pot_dehnen_2psp = DehnenSphericalPotential(amp=mass, a=a, alpha=alpha_2psp)\n",
"o_dehnen_2psp = Orbit()\n",
"o_dehnen_2psp.integrate(t, pot_dehnen_2psp)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### DoublePower"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"pot_2psp = TwoPowerSphericalPotential(amp=mass*(3-alpha), a=a, alpha=alpha_2psp, beta=4)\n",
"o_2psp = Orbit()\n",
"o_2psp.integrate(t, pot_2psp)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa050f350f0>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fa050f35da0>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 265,
"width": 397
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"o_2psp.plot(c='k')\n",
"o_dehnen_2psp.plot(overplot=True, c='g', ls=':')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Perturbing"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1899000000000.0 solMass\n",
"21.093599937662407\n",
"galpyWarning: Cannot use C integration because some of the potentials are not implemented in C (using leapfrog instead)\n"
]
}
],
"source": [
"pot_dehnen_2psp_pert = DehnenSphericalPotential(amp=mass, a=a, alpha=alpha_2psp + eps)\n",
"o_dehnen_2psp_pert = Orbit()\n",
"o_dehnen_2psp_pert.integrate(t, pot_dehnen_2psp_pert)"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Is the pert good?\n",
" Dehnen=2PSP: True\n",
" Dehnen perturbation: True\n",
" 2PSP perturbation: True\n",
"\n"
]
}
],
"source": [
"print(f\"\"\"Is the pert good?\n",
" Dehnen=2PSP: {pot_2psp._amp == pot_dehnen_2psp._amp}\n",
" Dehnen perturbation: {np.allclose(pot_dehnen_2psp_pert._amp / pot_dehnen_2psp._amp, (3 - alpha_2psp - eps) / (3 - alpha_2psp))}\n",
" 2PSP perturbation: {np.allclose(pot_dehnen_2psp_pert._amp / pot_2psp._amp, (3 - alpha_2psp - eps) / (3 - alpha_2psp))}\n",
"\"\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br><br>\n",
"\n",
"- - - \n",
"- - - \n",
"\n",
"<br>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Testing to_amuse"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"from galpy.potential import to_amuse"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"pot_amuse_dehnen = to_amuse(pot_dehnen_hern)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"type(pot_amuse_dehnen) == potential.amuse.galpy_profile"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Testing C implementation"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [],
"source": [
"# ((r/self.a)**(3.-self.beta)/special.gamma(self.beta-1.)\\\n",
"# *special.hyp2f1(self.beta-3.,\n",
"# self.beta-self.alpha,\n",
"# self.beta-1.,\n",
"# -self.a/r)\n",
"# -special.gamma(3.-self.alpha)/special.gamma(self.beta-self.alpha))/r"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<br><br>\n",
"\n",
"- - - \n",
"- - - \n",
"\n",
"<span style='font-size:40px;font-weight:650'>\n",
" END\n",
"</span>"
]
}
],
"metadata": {
"kernel_info": {
"name": "python3"
},
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
},
"nteract": {
"version": "0.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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