From 86aa51d2a5318aa3109c57bfbc1126058b8a95c0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Jo=C3=A3o=20Faria?= Date: Mon, 29 Jan 2024 17:32:34 +0100 Subject: [PATCH] update multi_instrument example --- docs/docs/examples/multi_instrument.ipynb | 576 +++++++++++++++++++--- 1 file changed, 512 insertions(+), 64 deletions(-) diff --git a/docs/docs/examples/multi_instrument.ipynb b/docs/docs/examples/multi_instrument.ipynb index 34258a2..8832793 100644 --- a/docs/docs/examples/multi_instrument.ipynb +++ b/docs/docs/examples/multi_instrument.ipynb @@ -36,9 +36,37 @@ " \n", " \n", "

\n", + "\n", + "\n", + "\n", + "
\n", + "
New
\n", + "

\n", + " Newer versions of kima now allow for a stellar jitter parameter \n", + " which is shared between all the instruments. By default, this parameter is fixed to zero \n", + " to recover the old behaviour.\n", + "

\n", "
" ] }, + { + "cell_type": "markdown", + "id": "94d6d52d", + "metadata": {}, + "source": [ + "First of all, let's import the package" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "e4266df4", + "metadata": {}, + "outputs": [], + "source": [ + "import kima" + ] + }, { "cell_type": "markdown", "id": "18806855", @@ -63,7 +91,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "3ddb996c", "metadata": {}, "outputs": [], @@ -81,21 +109,10 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "5e371ace", "metadata": {}, "outputs": [ - { - "data": { - "text/plain": [ - "(
,\n", - " )" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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5kqRf/epXkqT33ntPR44c0U9+8hP5+fkpPT1dM2fO1P/7f//P2u+YMWO0YMECTZgwQQ8++KA2b96slStXav369Vfw23DPheM0VRi5zAMAgIbh0dC0c+dO3X777dZ8WlqaJGnEiBF65ZVXtGfPHr3++us6ceKEIiMjNWjQIM2YMcOlL9GcOXPk6+ur+++/X6dPn1ZcXJw2b96s4OBgSVLLli21cOFCjRs3TsYYxcTEaN68eRo9erRVR5cuXbR+/XqNGzdO8+fPV8eOHfXHP/7R68Zokqofp+li4zbVpLi0TL0mfyBJ+mp6In2hAACohc2c/+w9LpnT6VRQUJAKCwsVGBjYYPvJKzytm2ZvdglK54/bVJfwc/TUGQ38z3O3JXdOulMhrXnyDgDQvNTl97tR9WnCuXGapg35cVwmH5tc5gEAQMMgNDVC54/LtCntNpd5AADQMAhNjdyFg1nmFzIEAQAADYHQ1ASs3nXY+pwwb6tWfFbzGFUAAODSEJoaufzCM5qydp81X2Gk597Zq7zC6l//AgAALg2hqZH7rqDqEATlxij3aLFnGgQAQBNFaGrkOrdvJR+b67IWNpuiQwI80yAAAJooQlMjFx7kV2UIgplD+ygiqG7vzOMddgAA1I7Q1AgF2H2VOztFubNTFGD3rTIEwT3Xd3KrngvfYUcHcgAAakZoamIuHIKgJtW9w44O5AAA1IzQ1ExV9w47OpADAFAzQlMz1SWklS7oPy6bTXQgBwCgBoQm/IhXNwMAUCNCUzOVc7SoSkYyErfnAACoAaGpmeoSwvhOAADUBaGpmYoI8tdzP+9pzV/q+E4AADQXhKZmLLV/pPX5vSducnt8JwBoyopLyxT97HpFP7texaVlnm4OvIivpxuAy1c52OXlCAt0b3wnAICr4tIy9Zr8gSTpq+mJCrDz09pUcaUJAADADYQmAAAANxCaAAAA3EBoAgAAcAOhqRk7v7MiHRcBAKgdoQkAAMANhCYAAAA3EJoAAADcQGgCAKAG+YVnGrQ8GhdCUzNWOZJ47uwUOoIDwL+s3nXY+pwwb6tWfHaoXsuj8SI0AQDwL3mFpzVl7T5rvsJIz72zV3mFp+ulPBo3QhMAAP+Sc7RIFcZ1Wbkxyj1aXC/l0bgRmgAA+JcuIa3kY3Nd1sJmU3RIQL2UR+NGaAIA4F8igvw1bUhva97HJs0c2kcRQf71Uh6NG6EJAIDzDBvQ0fq8Ke023XN9p3otj8aL0AQAQA3Cg/watDwaF0ITAACAGwhNAAAAbiA0AQAAuIHQBAAA4AZCEwAAgBs8Gpq2bdumwYMHKzIyUjabTWvWrHFZP3LkSNlsNpcpKSmpSj3r169XXFyc/P39FRwcrNTUVJf1hw4dUkpKigICAhQaGqrx48errKzMpUxmZqauu+46ORwOxcTEaOnSpfV8tAAAoDHz6Ftai4qK1K9fPz344IMaOnRotWWSkpK0ZMkSa97hcLisX716tUaPHq2ZM2fqjjvuUFlZmfbu3WutLy8vV0pKisLDw7V9+3bl5eXpgQceUMuWLTVz5kxJUk5OjlJSUjRmzBi98cYbysjI0EMPPaSIiAglJiY2wJEDAIDGxmaMMRcv1vBsNpveffddl6tEI0eO1IkTJ6pcgapUVlam6OhoTZs2TaNGjaq2zMaNG3XXXXfp+++/V1hYmCRp0aJFeuaZZ/R///d/stvteuaZZ7R+/XqXsDV8+HCdOHFC77//vlvtdzqdCgoKUmFhoQIDA907aACA1ykuLVOvyR9Ikr6anqgAu0evL6CB1eX32+v7NGVmZio0NFTdu3fXo48+qoKCAmvd559/rn/+85/y8fFR//79FRERoeTkZJfwk5WVpdjYWCswSVJiYqKcTqf27dtnlUlISHDZb2JiorKysmpsV0lJiZxOp8sEAGj8Auy+yp2dotzZKQQmuPDq0JSUlKRly5YpIyNDzz//vLZu3ark5GSVl5dLkr799ltJ0tSpUzVp0iStW7dOwcHB+ulPf6pjx45JkvLz810CkyRrPj8/v9YyTqdTp0+frrZts2bNUlBQkDVFRUXV34EDAACv49Whafjw4RoyZIhiY2OVmpqqdevW6bPPPlNmZqYkqaKiQpL0H//xHxo2bJgGDBigJUuWyGazadWqVQ3atokTJ6qwsNCa/vGPfzTo/gAAjVdxaZmin12v6GfXq7i07OIbwCt5dWi6UNeuXRUSEqIDBw5IkiIiIiRJvXr1sso4HA517dpVhw4dkiSFh4fryJEjLvVUzoeHh9daJjAwUP7+1b+p2uFwKDAw0GUCAABNV6MKTYcPH1ZBQYEVlgYMGCCHw6H9+/dbZc6ePavc3Fx17txZkhQfH68vv/xSP/zwg1UmPT1dgYGBVtiKj49XRkaGy77S09MVHx/f0IcEAAAaCY+GplOnTik7O1vZ2dmSzj36n52drUOHDunUqVMaP368duzYodzcXGVkZOjuu+9WTEyMNQxAYGCgxowZoylTpujDDz/U/v379eijj0qSfvWrX0mSBg0apF69eun+++/XF198oQ8++ECTJk3S2LFjreELxowZo2+//VYTJkzQN998oz/84Q9auXKlxo0bd+W/FAAA4J2MB23ZssVIqjKNGDHCFBcXm0GDBpkOHTqYli1bms6dO5vRo0eb/Px8lzpKS0vN008/bUJDQ02bNm1MQkKC2bt3r0uZ3Nxck5ycbPz9/U1ISIh5+umnzdmzZ6u05dprrzV2u9107drVLFmypE7HUlhYaCSZwsLCS/ouAABNV1HJWdP5mXWm8zPrTFHJ2YtvgCumLr/fXjNOU2PHOE0AgJow9pP3alLjNAEAAHgDQhMAAIAbCE0AAABuIDQBAAC4gdAEAADgBkITAABXUH7hGU83AZfIrWcer7vuujpVarPZtHbtWl111VWX1CgAAJqS1bsOW58T5m3VrKGxuuf6TpIYjqAxcevMZGdn6+mnn1br1q0vWtYYo9mzZ6ukpOSyGwcAQGOXV3haU9bus+YrjPTcO3t16zUdFBFU/ftN4Z3cjrPjx49XaGioW2Xnzp17yQ0CAKApyTlapIoLhpEuN0a5R4sJTY2MW6EpJydHHTp0cLvSr776SpGRkZfcKAAAmoouIa3kY5NLcGphsyk6JMBzjcIlcasjeOfOnWWz2dyuNCoqSi1atLjkRgEA0FREBPlr2pDe1ryPTZo5tA9XmRqhOj899/777+vjjz+25hcuXKhrr71W9913n44fP16vjQMAoCkYNqCj9XlT2m1WJ3A0LnUOTePHj5fT6ZQkffnll3r66af185//XDk5OUpLS6v3BgIA0JSEB/l5ugm4RHV+rjEnJ0e9evWSJK1evVp33XWXZs6cqc8//1w///nP672BAAAA3qDOV5rsdruKi4slSZs2bdKgQYMkSe3atbOuQAEAgLpj4EvvVufQdPPNNystLU0zZszQp59+qpSUFEnS3/72N3Xs2PEiWwMAgPNdOPDlis8OebA1qE2dQ9OCBQvk6+urt99+W6+88oo16vfGjRuVlJRU7w0EAKCpqmngy7zC0x5sFWridp+mzZs367bbblOnTp20bt26KutffPHFem0YAABNHQNfNi5uX2l66KGH1KFDB913331auXKlTp482ZDtAgCgyasc+PJ8DHzpvdwOTd9++60yMzPVq1cv/fd//7dCQ0P1s5/9TC+//LIOHeL+KwAAdcXAl41Lnfo09e3bV5MmTdKnn36qgwcPatiwYdq4caO6d++ua6+9VpMnT9bOnTsbqq0AADQ5DHzZeNS5I3ilyMhIjRkzRhs2bNDRo0c1adIk5ebmKikpSTNnzqzPNgIA0Cww8KV3q/PgltVp1aqVfvnLX+qXv/ylysvLdezYsfqoFgCAJiHA7qvc2SmebgYu0yWFps8++0xbtmzRDz/8oIqKCmu5zWbT3Llz1aFDh3prIAAAgDeoc2iaOXOmJk2apO7duyssLEw224/d/s//DAAA0JTUOTTNnz9fixcv1siRIxugOQAAAN6pzh3BfXx8dNNNNzVEWwAAALxWnUPTuHHjtHDhwoZoCwAAgNeyGWPMxYv9qKKiQikpKfrb3/6mXr16qWXLli7r33nnnXptYGPhdDoVFBSkwsJCBQYGero5TUJxaZl6Tf5AkvTV9EQF2OvlYU8AACx1+f2u86/Qk08+qS1btuj2229X+/bt6fwNAACahTqHptdff12rV69WSgrjTcD7cHUKANBQ6tynqV27durWrVtDtAUAAMBr1Tk0TZ06VVOmTFFxcXFDtAcAAMAr1fnexe9//3sdPHhQYWFhio6OrtIR/PPPP6+3xgGV8gvPqGuH1p5uBgCgGatzaEpNTW2AZgBVrd512PqcMG+rZg2NdXn7N/2XAABXUp1/ZaZMmdIQ7QBc5BWe1pS1+6z5CiM9985e3XpNB0UE+XuwZQCA5qrOfZqAKyHnaJEqLhhBrNwY5R51vy9dfuGZem4VAKA5cys0tWvXTkePHnW70k6dOum777675EYBXUJayeeCIcBa2GyKDgmodbsLb+mt+OxQQzQPANAMuXV77sSJE9q4caOCgoLcqrSgoEDl5eWX1TA0bxFB/po2pLd+95dzt+h8bNLMoX1qvTXHLT0AQENy+/bciBEjlJqa6tZ0+vRpt+rctm2bBg8erMjISNlsNq1Zs8Zl/ciRI2Wz2VympKQklzLR0dFVysyePdtan5ubW2W9zWbTjh07XOpZtWqVevToIT8/P8XGxmrDhg3ufjVoIMMGdLQ+b0q7zaUTeHXq45YeAAA1cetKU0VFRYPsvKioSP369dODDz6ooUOHVlsmKSlJS5YsseYdDkeVMtOnT9fo0aOt+TZt2lQps2nTJvXu3duab9++vfV5+/btuvfeezVr1izdddddevPNN5WamqrPP/9cffr0uaRjQ/0KD/K7aJnKW3rnByd3bukBAOAOjz6jnZycrOTk5FrLOBwOhYeH11qmTZs2Fy3Tvn37GsvMnz9fSUlJGj9+vCRpxowZSk9P14IFC7Ro0aJa64X3uJRbegAAuMvrn57LzMxUaGiounfvrkcffVQFBQVVysyePVvt27dX//79NWfOHJWVlVUpM2TIEIWGhurmm2/W2rVrXdZlZWUpISHBZVliYqKysrJqbFdJSYmcTqfLBM+pfFKurrf0AABwl1eHpqSkJC1btkwZGRl6/vnntXXrViUnJ7t0Mn/yySe1fPlybdmyRY888ohmzpypCRMmWOtbt26tuXPnatWqVVq/fr1uvvlmpaamugSn/Px8hYWFuew7LCxM+fn5NbZt1qxZCgoKsqaoqKh6PHK442JPyrlzSw8AAHfZjDHm4sUans1m07vvvlvriOPffvutunXrpk2bNunOO++stszixYv1yCOP6NSpU9X2f5KkBx54QDk5Ofroo48kSXa7Xa+//rruvfdeq8wf/vAHTZs2TUeOHKm2jpKSEpWUlFjzTqdTUVFRKiwsVGBg4MUOF5cpr/C0bpq9uUr/pfS0W3XH3K2SGCUcAHBxTqdTQUFBbv1+u32l6dixY5fdsMvVtWtXhYSE6MCBAzWWiYuLU1lZmXJzc2stc34d4eHhVcLRkSNHau0n5XA4FBgY6DLhyqnpSblDx3hSDgDQMNwOTZGRkRo+fLjS09Mbsj21Onz4sAoKChQREVFjmezsbPn4+Cg0NLTWMufXER8fr4yMDJcy6enpio+Pv/xGo0HUNPhlhzZ2a764tGrfNgAALpXb9y5ee+01LV26VElJSYqKitLIkSM1cuRIRUdHX/LOT5065XLFJycnR9nZ2WrXrp3atWunadOmadiwYQoPD9fBgwc1YcIExcTEKDExUdK5DtyffPKJbr/9drVp00ZZWVkaN26cfvOb3yg4OFiS9Prrr8tut6t///6SpHfeeUeLFy/WH//4R2u/Tz31lG677TbNnTtXKSkpWr58uXbu3KlXX331ko8NDaumJ+XCAunHBABoIKaOvv32WzN58mQTHR1tWrRoYRISEszy5ctNSUlJXasyW7ZsMZKqTCNGjDDFxcVm0KBBpkOHDqZly5amc+fOZvTo0SY/P9/afteuXSYuLs4EBQUZPz8/07NnTzNz5kxz5swZq8zSpUtNz549TUBAgAkMDDQ33HCDWbVqVZW2rFy50lxzzTXGbreb3r17m/Xr19fpWAoLC40kU1hYWOfvAZemqOSs6fzMOtP5mXXm4A8nqywrKjnr4RYCALxdXX6/L6sj+KZNm7RkyRKtWbNGfn5++vWvf63f//739RLmGpu6dCRD/Th66owG/ue526o7J92pkNZ+Ki4tU6/JH0iiIzgA4OIapCN4dRISEvTGG29o2bJlkqSFCxdeTnUAAABe65JD03fffaepU6eqS5cuuueee3TdddfpjTfeqM+2AZelcsDLmhSXlin62fWKfnY9ncYBABdVp9BUUlKiN998UwkJCerWrZuWLFmiBx54QAcOHFB6erqGDx/eUO0E3HKxAS8BALhUbnf4eOyxx7R8+XIVFxfr7rvv1oYNG/Szn/1MNpvt4hsDV0Be4WlNWbvPmq8w0nPv7NWt13Tg/XMA4GFNoc+p2y3++OOPNWXKFP3mN79R+/btqy1z+vRp+fvz4wTPqGnAy9yjxYQmAMBlczs07dmzp8Z1JSUlWrBggebMmVPr+9qAhlQ54OWFr1aJDgnwXKMAAE2G232aSktLNXHiRA0cOFA33nij1qxZI0lasmSJunTpopdeeknjxo1rqHYCVZx/aTfA7msNeFmpcsBLd64yXazTOAAAboem3/3ud3rllVcUHR2t3Nxc/epXv9LDDz+sF198UfPmzVNubq6eeeaZhmwrUKPK0DNsQEdr2aa023TP9Z1q3IZO4wCAunA7NK1atUrLli3T22+/rQ8//FDl5eUqKyvTF198oeHDh6tFixYN2U6giouFnvCgml+pUlOn8bzC0/XfUABAk+B2aDp8+LAGDBggSerTp48cDofGjRvH03PwiJpCj7u32WrrNA4AQHXcDk3l5eWy2398g7yvr69at27dII0CLqam0HPomHuhp7LT+PnoNA4AqI3bT88ZYzRy5Eg5HA5J0pkzZzRmzBi1atXKpdw777xTvy0EqlHTk3Kd2lUNPdWNDVLZafx3fzl3taouncYBAM2T26FpxIgRLvO/+c1v6r0xgLtqCj1dO7RW7uwUt+oYNqCjtf2mtNvUtQNXTgEANXM7NC1ZsqQh2wHUWX2Gnto6jQMAIF3GC3sBb0LoAYDGo7GOjUdoAgAADa4pjI1HaAIAAA2qqYyN1/heMQzUkwC7r9udxgEAl66pvFCdK00AAKBBNZWx8QhNaFYaa+dDAGjMLueF6t6E0IQmryl0PgSAxq4uL1T3VvRpQqPlTp+kmjof3npNh0b3LxwAaCoa6zAxXGlCk8aLeQEA9YXQhCatqXQ+BAB4HqEJTVpT6XwIAPA8QhOavKbQ+RAA4HmEJjQrjbXzIQDA8whNAAAAbiA0AQAAuIHQBAAA4AZCEwAAgBsYERwAADQ4d97i4O240gQAAOAGrjShyWsK/7oBAHgeV5oAAADcQGgCAABwA6EJAADADYQmAAAANxCaAAAA3EBoAgAAcINHQ9O2bds0ePBgRUZGymazac2aNS7rR44cKZvN5jIlJSW5lImOjq5SZvbs2S5l9uzZo1tuuUV+fn6KiorSCy+8UKUtq1atUo8ePeTn56fY2Fht2LCh3o8XAAA0Xh4NTUVFRerXr58WLlxYY5mkpCTl5eVZ01tvvVWlzPTp013KPPHEE9Y6p9OpQYMGqXPnztq1a5fmzJmjqVOn6tVXX7XKbN++Xffee69GjRql3bt3KzU1Vampqdq7d2/9HjAAAGi0PDq4ZXJyspKTk2st43A4FB4eXmuZNm3a1FjmjTfeUGlpqRYvXiy73a7evXsrOztb8+bN08MPPyxJmj9/vpKSkjR+/HhJ0owZM5Senq4FCxZo0aJF1dZbUlKikpISa97pdNbaRgAA0Lh5fZ+mzMxMhYaGqnv37nr00UdVUFBQpczs2bPVvn179e/fX3PmzFFZWZm1LisrS7feeqvsdru1LDExUfv379fx48etMgkJCS51JiYmKisrq8Z2zZo1S0FBQdYUFRV1uYcKAAC8mFe/RiUpKUlDhw5Vly5ddPDgQT333HNKTk5WVlaWWrRoIUl68skndd1116ldu3bavn27Jk6cqLy8PM2bN0+SlJ+fry5durjUGxYWZq0LDg5Wfn6+tez8Mvn5+TW2beLEiUpLS7PmnU4nwQkAgCbMq0PT8OHDrc+xsbHq27evunXrpszMTN15552S5BJc+vbtK7vdrkceeUSzZs2Sw+FosLY5HI4GrR8AAJxTXFqmXpM/kCR9NT1RAXbPxBevvz13vq5duyokJEQHDhyosUxcXJzKysqUm5srSQoPD9eRI0dcylTOV/aDqqnMxfpSAQCA5qNRhabDhw+roKBAERERNZbJzs6Wj4+PQkNDJUnx8fHatm2bzp49a5VJT09X9+7dFRwcbJXJyMhwqSc9PV3x8fENcBQAAKAx8mhoOnXqlLKzs5WdnS1JysnJUXZ2tg4dOqRTp05p/Pjx2rFjh3Jzc5WRkaG7775bMTExSkxMlHSuA/dLL72kL774Qt9++63eeOMNjRs3Tr/5zW+sQHTffffJbrdr1KhR2rdvn1asWKH58+e73NZ76qmn9P7772vu3Ln65ptvNHXqVO3cuVOPP/74Ff9OAACAlzIetGXLFiOpyjRixAhTXFxsBg0aZDp06GBatmxpOnfubEaPHm3y8/Ot7Xft2mXi4uJMUFCQ8fPzMz179jQzZ840Z86ccdnPF198YW6++WbjcDjMVVddZWbPnl2lLStXrjTXXHONsdvtpnfv3mb9+vV1OpbCwkIjyRQWFl7alwEAAKpVVHLWdH5mnen8zDpTVHK2Xuuuy++3zRhjPJjZmgyn06mgoCAVFhYqMDDQ080BAKDJaMiO4HX5/W5UfZoAAAA8hdAEAADgBkITAABoNPILz3hs34QmAADg1VbvOmx9Tpi3VSs+O+SRdhCaAACA18orPK0pa/dZ8xVGeu6dvcorPH3F20JoAgAAXivnaJEqLnjOv9wY5R4tvuJtITQBAACv1SWklXxsrsta2GyKDgm44m0hNAEAAK8VEeSvaUN6W/M+Nmnm0D6KCPK/4m0hNAEAAI8rLi1T9LPrFf3sehWXlrmsGzago/V5U9ptuuf6Tle6eZIITQAAoBEJD/Lz2L4JTQAAAG4gNAEAALiB0AQAAOAGQhMAAIAbCE1AM1DbUykAAPcQmgAAgFfx5Et5a0NoAgAAHlfbS3kD7L7KnZ2i3NkpCrD7eqJ5kghNAADAw7zppby1ITQBAACP8qaX8taG0AQAADzKm17KWxtCEwAA8ChveilvbQhNQDPjrU+lAGjevOWlvLUhNAHNQG1PpQCAt/HkS3lrQ2gCmrjG8lQKAHg7QhPQxNXnUymMLA6gOSM0AU3cpT6VQkACAFeEJqCJayxPpQBATbzlH3GEJqAZaAxPpQCAt/PcC1wAeIS3PpUCoHmrfL+cN+NKEwAAgBsITQAAAG4gNAG4qOpGEWdkcQDNDaEJQLWqG0WckcUBNGd0BAdQRXWjiE9c/aV03nhPlSOL33pNB4YvANAscKUJQBXVjSJeIdXbyOIA0BhxpQloBur6KG/lKOLnhyQfSbpgmTsjiwNAU8GVJgBVVDeK+KxhsYwsDqBZIzQBqFZ1o4gzsjiA5ozQBOCiqhtFnJHFAXiCJ4c78Who2rZtmwYPHqzIyEjZbDatWbPGZf3IkSNls9lcpqSkpGrrKikp0bXXXiubzabs7GxreW5ubpU6bDabduzY4bL9qlWr1KNHD/n5+Sk2NlYbNmyo78MFAACXwFuGO/FoaCoqKlK/fv20cOHCGsskJSUpLy/Pmt56661qy02YMEGRkZE11rNp0yaXegYMGGCt2759u+69916NGjVKu3fvVmpqqlJTU7V3795LPzgAAHDZqhsC5bl39iqv8PQVb4tHn55LTk5WcnJyrWUcDofCw8NrLbNx40Z9+OGHWr16tTZu3Fhtmfbt29dYz/z585WUlKTx48dLkmbMmKH09HQtWLBAixYtcuNIAABAQ6huCJTK4U6u9IMoXt+nKTMzU6GhoerevbseffRRFRQUuKw/cuSIRo8erf/93/9VQEDNjz4PGTJEoaGhuvnmm7V27VqXdVlZWUpISHBZlpiYqKysrBrrKykpkdPpdJmApqRymILc2SkKsDM6CQDPqBwC5XyeGu7Eq0NTUlKSli1bpoyMDD3//PPaunWrkpOTVV5eLkkyxmjkyJEaM2aMBg4cWG0drVu31ty5c7Vq1SqtX79eN998s1JTU12CU35+vsLCwly2CwsLU35+fo1tmzVrloKCgqwpKiqqHo4Y8G4EKQBXWnVDoHhquBOv/qs3fPhw63NsbKz69u2rbt26KTMzU3feeadefvllnTx5UhMnTqyxjpCQEKWlpVnz119/vb7//nvNmTNHQ4YMueS2TZw40aVep9NJcAIAoAEMG9BRv/vLuX5Nm9JuU9cOrT3SDq++0nShrl27KiQkRAcOHJAkbd68WVlZWXI4HPL19VVMTIwkaeDAgRoxYkSN9cTFxVl1SFJ4eLiOHDniUubIkSO19qVyOBwKDAx0mQAAQMPy5HAnjSo0HT58WAUFBYqIiJAk/f73v9cXX3yh7OxsZWdnW8MErFixQv/1X/9VYz3Z2dlWHZIUHx+vjIwMlzLp6emKj49vgKMAAACNkUdvz506dcrlik9OTo6ys7PVrl07tWvXTtOmTdOwYcMUHh6ugwcPasKECYqJiVFiYqIkqVMn19GIW7c+d7muW7du6tjx3MjFr7/+uux2u/r37y9Jeuedd7R48WL98Y9/tLZ76qmndNttt2nu3LlKSUnR8uXLtXPnTr366qsNevwAAKDx8Gho2rlzp26//XZrvrKP0IgRI/TKK69oz549ev3113XixAlFRkZq0KBBmjFjhhwOR532M2PGDH333Xfy9fVVjx49tGLFCv3yl7+01t9444168803NWnSJD333HO6+uqrtWbNGvXp06d+DhQAADR6NmOMuXgxXIzT6VRQUJAKCwvp3wQAQD0qLi1Tr8kfSJK+mp5Yr0/v1uX3u1H1aQIAAPAUQhMAAIAbCE0AAABuIDQBAAC4gdAEAADgBq9+jQoAAEDley89jStNAAAAbiA0AQAAuIHQBAAA4AZCEwAAgBsITQAAAG4gNAEAALiB0AQAAOAGQhOAZq24tEzRz65X9LPrVVxa5unmAPBihCYAAAA3EJoAAADcQGgCAABwA6EJQJNFfyUA9YnQBAD1iKAGNF2EJgAAADcQmgAAANxAaAIAAHADoQkA/iW/8IynmwDAixGaADRrq3cdtj4nzNuqFZ8d8mBrAHgzQhOAZqG6q0h5hac1Ze0+a77CSM+9s1d5hadrrcvdJ+S4cgU0LYQmAE3Wxa4i5RwtUoVx3abcGOUeLW6wfQJovAhNAJokd64idQlpJR+b63YtbDZFhwQ02D4BNF6EJgBNkjtXkSKC/DVtSG9r3scmzRzaRxFB/g22TwCNF6EJQJPk7lWkYQM6Wp83pd2me67vJOnSRvau7ytXALwLoQlAk3QpV5HCg/zqvJ/zO3vX95UrAN6F0ASgyarpKtLlqq2zd0PtE4DnEZoANAuXchWpOnXp7F1f+wTgHQhNAFAHdPYGmi9CEwDUAZ29geaL0AQAdUBnb6D5IjQBQB3R2Rtonnw93QAA8Hb5hWfUtUPratdd2Nk7wO6r3NkpV6JZAK4wQhOAJsudAFNTmQuHFZg1NJYrSkAzx+05ALgA75ADUB2PhqZt27Zp8ODBioyMlM1m05o1a1zWjxw5UjabzWVKSkqqtq6SkhJde+21stlsys7Odlm3Z88e3XLLLfLz81NUVJReeOGFKtuvWrVKPXr0kJ+fn2JjY7Vhw4b6OkwAjQzDCgCojkdDU1FRkfr166eFCxfWWCYpKUl5eXnW9NZbb1VbbsKECYqMjKyy3Ol0atCgQercubN27dqlOXPmaOrUqXr11VetMtu3b9e9996rUaNGaffu3UpNTVVqaqr27t17+QcJoNG52LAClbf0cmenKMBOLwegufDo/+3JyclKTk6utYzD4VB4eHitZTZu3KgPP/xQq1ev1saNG13WvfHGGyotLdXixYtlt9vVu3dvZWdna968eXr44YclSfPnz1dSUpLGjx8vSZoxY4bS09O1YMECLVq06DKOEEBjVDmswO/+cu4WHcMKAJAaQZ+mzMxMhYaGqnv37nr00UdVUFDgsv7IkSMaPXq0/vd//1cBAVUHl8vKytKtt94qu91uLUtMTNT+/ft1/Phxq0xCQoLLdomJicrKyqqxXSUlJXI6nS4TgKaDYQUAXMirQ1NSUpKWLVumjIwMPf/889q6dauSk5NVXl4uSTLGaOTIkRozZowGDhxYbR35+fkKCwtzWVY5n5+fX2uZyvXVmTVrloKCgqwpKirqko8TgHfjHXIAJC8fcmD48OHW59jYWPXt21fdunVTZmam7rzzTr388ss6efKkJk6ceMXbNnHiRKWlpVnzTqeT4AQAQBPm1VeaLtS1a1eFhITowIEDkqTNmzcrKytLDodDvr6+iomJkSQNHDhQI0aMkCSFh4fryJEjLvVUzlf2laqpTG19qRwOhwIDA10mAADQdDWq0HT48GEVFBQoIiJCkvT73/9eX3zxhbKzs5WdnW0NE7BixQr913/9lyQpPj5e27Zt09mzZ6160tPT1b17dwUHB1tlMjIyXPaVnp6u+Pj4K3FYAACgEfDo7blTp05ZV40kKScnR9nZ2WrXrp3atWunadOmadiwYQoPD9fBgwc1YcIExcTEKDExUZLUqZNrx8zWrc+95qBbt27q2PFcJ8777rtP06ZN06hRo/TMM89o7969mj9/vl588UVru6eeekq33Xab5s6dq5SUFC1fvlw7d+50GZYAAAA0bx690rRz5071799f/fv3lySlpaWpf//+mjx5slq0aKE9e/ZoyJAhuuaaazRq1CgNGDBAH330kRwOh9v7CAoK0ocffqicnBwNGDBATz/9tCZPnmwNNyBJN954o9588029+uqr6tevn95++22tWbNGffr0qfdjBgAAjZPNGGMuXgwX43Q6FRQUpMLCQvo3AU1AcWmZek3+QJL01fREBrEEmqi6/H7zVwAAquHOy34BNC+NqiM4AACApxCaAAAA3EBoAgAAcAOhCQAAwA2EJgAAADcQmgAAANxAaAIAAHADoQkAAMANhCYAAAA3EJoAAADcQGgCAABwA6EJAADADYQmAAAANxCaAAAA3EBoAgAAcIOvpxvQVBhjJElOp9PDLQEAAO6q/N2u/B2vDaGpnpw8eVKSFBUV5eGWAACAujp58qSCgoJqLWMz7kQrXFRFRYW+//57tWnTRjabrV7qdDqdioqK0j/+8Q8FBgbWS524dJwP78M58S6cD+/DObk4Y4xOnjypyMhI+fjU3muJK031xMfHRx07dmyQugMDA/mP3YtwPrwP58S7cD68D+ekdhe7wlSJjuAAAABuIDQBAAC4gdDkxRwOh6ZMmSKHw+HppkCcD2/EOfEunA/vwzmpX3QEBwAAcANXmgAAANxAaAIAAHADoQkAAMANhCYAAAA3EJrq0dSpU2Wz2VymHj16WOvPnDmjsWPHqn379mrdurWGDRumI0eOuNRx4fY2m03Lly93KZOZmanrrrtODodDMTExWrp0aZW2LFy4UNHR0fLz81NcXJw+/fTTBjlmb3exc/Lqq6/qpz/9qQIDA2Wz2XTixIkqdRw7dky//vWvFRgYqLZt22rUqFE6deqUS5k9e/bolltukZ+fn6KiovTCCy9UqWfVqlXq0aOH/Pz8FBsbqw0bNtT78Xq7+jgf0dHRVeqYPXu2SxnOh/tqOyfHjh3TE088oe7du8vf31+dOnXSk08+qcLCQpc6Dh06pJSUFAUEBCg0NFTjx49XWVmZSxn+brmnPs4HvyMNyKDeTJkyxfTu3dvk5eVZ0//93/9Z68eMGWOioqJMRkaG2blzp/nJT35ibrzxRpc6JJklS5a41HH69Glr/bfffmsCAgJMWlqa+eqrr8zLL79sWrRoYd5//32rzPLly43dbjeLFy82+/btM6NHjzZt27Y1R44cafgvwctc7Jy8+OKLZtasWWbWrFlGkjl+/HiVOpKSkky/fv3Mjh07zEcffWRiYmLMvffea60vLCw0YWFh5te//rXZu3eveeutt4y/v7/5n//5H6vMX//6V9OiRQvzwgsvmK+++spMmjTJtGzZ0nz55ZcNevzepj7OR+fOnc306dNd6jh16pS1nvNRN7Wdky+//NIMHTrUrF271hw4cMBkZGSYq6++2gwbNszavqyszPTp08ckJCSY3bt3mw0bNpiQkBAzceJEqwx/t9x3uefDGH5HGhKhqR5NmTLF9OvXr9p1J06cMC1btjSrVq2yln399ddGksnKyrKWSTLvvvtujfuYMGGC6d27t8uye+65xyQmJlrzN9xwgxk7dqw1X15ebiIjI82sWbPqeESNX23n5Hxbtmyp9kf6q6++MpLMZ599Zi3buHGjsdls5p///Kcxxpg//OEPJjg42JSUlFhlnnnmGdO9e3dr/t/+7d9MSkqKS91xcXHmkUceuYSjarwu93wYcy40vfjiizVuy/moG3fPSaWVK1cau91uzp49a4wxZsOGDcbHx8fk5+dbZV555RUTGBhonQP+brnvcs+HMfyONCRuz9Wzv//974qMjFTXrl3161//WocOHZIk7dq1S2fPnlVCQoJVtkePHurUqZOysrJc6hg7dqxCQkJ0ww03aPHixTLnDaWVlZXlUockJSYmWnWUlpZq165dLmV8fHyUkJBQZT/NRU3nxB1ZWVlq27atBg4caC1LSEiQj4+PPvnkE6vMrbfeKrvdbpVJTEzU/v37dfz4catMbeetObmc81Fp9uzZat++vfr37685c+a43ArifNRdXc5JYWGhAgMD5et77tWlWVlZio2NVVhYmFUmMTFRTqdT+/bts8rwd8t9l3M+KvE70jB4YW89iouL09KlS9W9e3fl5eVp2rRpuuWWW7R3717l5+fLbrerbdu2LtuEhYUpPz/fmp8+fbruuOMOBQQE6MMPP9Rjjz2mU6dO6cknn5Qk5efnu/xxqqzD6XTq9OnTOn78uMrLy6st88033zTMgXux2s5JmzZtLrp9fn6+QkNDXZb5+vqqXbt21nnLz89Xly5dXMpUfv/5+fkKDg6u8bydf+6bg8s9H5L05JNP6rrrrlO7du20fft2TZw4UXl5eZo3b54kzkdd1eWcHD16VDNmzNDDDz9sLavpu6xcV1sZ/m5VdbnnQ+J3pCERmupRcnKy9blv376Ki4tT586dtXLlSvn7+7tVx+9+9zvrc//+/VVUVKQ5c+ZY/7Gjbmo7J6NGjfJgy5qn+jgfaWlpLnXY7XY98sgjmjVrFq+KuATunhOn06mUlBT16tVLU6dO9UBLm4f6OB/8jjQcbs81oLZt2+qaa67RgQMHFB4ertLS0ipPAx05ckTh4eE11hEXF6fDhw+rpKREkhQeHl7libsjR44oMDBQ/v7+CgkJUYsWLaotU9t+movzz4k7wsPD9cMPP7gsKysr07Fjx6zvs6ZzUrmutjLN/ZzU9XxUJy4uTmVlZcrNzZXE+bhc1Z2TkydPKikpSW3atNG7776rli1bWusu5/vm79bF1fV8VIffkfpDaGpAp06d0sGDBxUREaEBAwaoZcuWysjIsNbv379fhw4dUnx8fI11ZGdnKzg42PoXdHx8vEsdkpSenm7VYbfbNWDAAJcyFRUVysjIqHU/zcX558Qd8fHxOnHihHbt2mUt27x5syoqKhQXF2eV2bZtm86ePWuVSU9PV/fu3RUcHGyVqe28NVd1PR/Vyc7Olo+Pj3UblfNxeS48J06nU4MGDZLdbtfatWvl5+fnUj4+Pl5ffvmlyz8u0tPTFRgYqF69elll+Lt1aep6PqrD70g98nRP9Kbk6aefNpmZmSYnJ8f89a9/NQkJCSYkJMT88MMPxphzQw506tTJbN682ezcudPEx8eb+Ph4a/u1a9ea1157zXz55Zfm73//u/nDH/5gAgICzOTJk60ylY+Kjh8/3nz99ddm4cKF1T4q6nA4zNKlS81XX31lHn74YdO2bVuXp1uai4udk7y8PLN7927z2muvGUlm27ZtZvfu3aagoMCqIykpyfTv39988skn5uOPPzZXX321y5ADJ06cMGFhYeb+++83e/fuNcuXLzcBAQFVHnH39fU1//3f/22+/vprM2XKlGb5iPvlno/t27ebF1980WRnZ5uDBw+aP//5z6ZDhw7mgQcesPbB+aib2s5JYWGhiYuLM7GxsebAgQMuj7CXlZUZY34ccmDQoEEmOzvbvP/++6ZDhw7VDjnA362Lu9zzwe9IwyI01aN77rnHREREGLvdbq666ipzzz33mAMHDljrT58+bR577DETHBxsAgICzC9+8QuTl5dnrd+4caO59tprTevWrU2rVq1Mv379zKJFi0x5ebnLfrZs2WKuvfZaY7fbTdeuXc2SJUuqtOXll182nTp1Mna73dxwww1mx44dDXbc3uxi52TKlClGUpXp/O+0oKDA3HvvvaZ169YmMDDQ/Pa3vzUnT5502c8XX3xhbr75ZuNwOMxVV11lZs+eXaUtK1euNNdcc42x2+2md+/eZv369Q123N7qcs/Hrl27TFxcnAkKCjJ+fn6mZ8+eZubMmebMmTMu++F8uK+2c1I59EN1U05OjlVHbm6uSU5ONv7+/iYkJMQ8/fTTLo/AV9bF362Lu9zzwe9Iw7IZc95ziAAAAKgWfZoAAADcQGgCAABwA6EJAADADYQmAAAANxCaAAAA3EBoAgAAcAOhCQAAwA2EJgAAADcQmgDAy+Xm5spms8lms+naa6+ttezIkSOVmpp6RdpVub/Ktq1Zs+aK7RfwBEITAEmuP342m03t27dXUlKS9uzZ41Luwh/H87dp1aqVrr76ao0cOdLlJceXY9asWbr++uvVpk0bhYaGKjU1Vfv376+2rDFGycnJ1f6AHzp0SCkpKQoICFBoaKjGjx+vsrIylzKZmZm67rrr5HA4FBMTo6VLl1bZx8KFCxUdHS0/Pz/FxcXp008/dVl/5swZjR07Vu3bt1fr1q01bNiwKm+Ld6ct1dm0aVOVF6162vz585WXl+fpZgBXBKEJgCUpKUl5eXnKy8tTRkaGfH19ddddd110uyVLligvL0/79u3TwoULderUKcXFxWnZsmWX3aatW7dq7Nix2rFjh9LT03X27FkNGjRIRUVFVcq+9NJLstlsVZaXl5crJSVFpaWl2r59u15//XUtXbpUkydPtsrk5OQoJSVFt99+u7Kzs/Xv//7veuihh/TBBx9YZVasWKG0tDRNmTJFn3/+ufr166fExET98MMPVplx48bpvffe06pVq7R161Z9//33Gjp0aJ3aUpP27durffv2bn93V0JQUJDCw8M93QzgyvDwu+8AeIkRI0aYu+++22XZRx99ZCSZH374wVomybz77rs1zld64IEHTJs2bcyxY8fqtZ0//PCDkWS2bt3qsnz37t3mqquuMnl5eVXatGHDBuPj4+PyhvZXXnnFBAYGmpKSEmOMMRMmTDC9e/d2qfOee+4xiYmJ1vwNN9xgxo4da82Xl5ebyMhIM2vWLGOMMSdOnDAtW7Y0q1atssp8/fXXRpLJyspyuy0XysnJMZLM7t27XZaXlZWZcePGmaCgINOuXTszfvx488ADD7icx40bN5qbbrrJKpOSkuLykuTbb7/d5ZiMOfcdt2zZ0mzatMkYY8zChQtNTEyMcTgcJjQ01AwbNqxKG2v67wBoSrjSBKBap06d0p///GfFxMRc0tWNcePG6eTJk0pPT6/XdhUWFkqS2rVrZy0rLi7Wfffdp4ULF1Z71SMrK0uxsbEKCwuzliUmJsrpdGrfvn1WmYSEBJftEhMTlZWVJUkqLS3Vrl27XMr4+PgoISHBKrNr1y6dPXvWpUyPHj3UqVMnq4w7bXHX3LlztXTpUi1evFgff/yxjh07pnfffdelTFFRkdLS0rRz505lZGTIx8dHv/jFL1RRUSFJeuihh/Tmm2+qpKTE2ubPf/6zrrrqKt1xxx3auXOnnnzySU2fPl379+/X+++/r1tvvbVO7QSaCl9PNwCA91i3bp1at24t6dyPbUREhNatWycfn7r/+6pHjx6SznViri8VFRX693//d910003q06ePtXzcuHG68cYbdffdd1e7XX5+vktIkWTN5+fn11rG6XTq9OnTOn78uMrLy6st880331h12O12tW3btkqZi+3n/La466WXXtLEiROt23+LFi1yuZ0oScOGDXOZX7x4sTp06KCvvvpKffr00dChQ/X444/rL3/5i/7t3/5NkrR06VKrj9uhQ4fUqlUr3XXXXWrTpo06d+6s/v3716mdQFPBlSYAlsr+PNnZ2fr000+VmJio5ORkfffdd3WuyxgjSdX2MZKkMWPGqHXr1tbkjrFjx2rv3r1avny5tWzt2rXavHmzXnrppTq3sTErLCxUXl6e4uLirGW+vr4aOHCgS7m///3vuvfee9W1a1cFBgYqOjpa0rnO6JLk5+en+++/X4sXL5Ykff7559q7d69GjhwpSfrZz36mzp07q2vXrrr//vv1xhtvqLi4uOEPEPBChCYAllatWikmJkYxMTG6/vrr9cc//lFFRUV67bXX6lzX119/LUnq0qVLteunT59uBbTs7OyL1vf4449r3bp12rJlizp27Ggt37x5sw4ePKi2bdvK19dXvr7nLqAPGzZMP/3pTyVJ4eHhVZ5gq5yvvJ1XU5nAwED5+/srJCRELVq0qLbM+XWUlpbqxIkTtZa5WFvq0+DBg3Xs2DG99tpr+uSTT/TJJ59IOne7sdJDDz2k9PR0HT58WEuWLNEdd9yhzp07S5LatGmjzz//XG+99ZYiIiI0efJk9evXr8oxAs0BoQlAjWw2m3x8fHT69Ok6b/vSSy8pMDCwSj+hSqGhoVZAi4mJqbEeY4wef/xxvfvuu9q8eXOVEPbss89qz549VQLYiy++qCVLlkiS4uPj9eWXX7o85Zaenq7AwED16tXLKnPh4/zp6emKj4+XJNntdg0YMMClTEVFhTIyMqwyAwYMUMuWLV3K7N+/X4cOHbLKuNMWdwQFBSkiIsIKQZJUVlbmMtRDQUGB9u/fr0mTJunOO+9Uz549dfz48Sp1xcbGauDAgXrttdf05ptv6sEHH3RZ7+vrq4SEBL3wwgvas2ePcnNztXnzZrfbCjQV9GkCYCkpKbH61Rw/flwLFizQqVOnNHjw4Fq3O3HihPLz81VSUqK//e1v+p//+R+tWbNGy5Ytq9K/p67Gjh2rN998U3/5y1/Upk0bq31BQUHy9/dXeHh4tVdoOnXqZAWsQYMGqVevXrr//vv1wgsvKD8/X5MmTdLYsWPlcDgknbtduGDBAk2YMEEPPvigNm/erJUrV2r9+vVWnWlpaRoxYoQGDhyoG264QS+99JKKior029/+1mrTqFGjlJaWpnbt2ikwMFBPPPGE4uPj9ZOf/MTttrjrqaee0uzZs3X11VerR48emjdvnssVoODgYLVv316vvvqqIiIidOjQIT377LPV1vXQQw/p8ccfV6tWrfSLX/zCWr5u3Tp9++23uvXWWxUcHKwNGzaooqJC3bt3r1NbgSbB04/vAfAOI0aMMJKsqU2bNub66683b7/9tlWmvLzcSDLvvfeetez8bfz8/Ey3bt3MiBEjzK5du+qlXefXf/60ZMmSWre58PH33Nxck5ycbPz9/U1ISIh5+umnzdmzZ13KbNmyxVx77bXGbrebrl27VruPl19+2XTq1MnY7XZzww03mB07drisP336tHnsscdMcHCwCQgIML/4xS9MXl5endtyvpqGHDh79qx56qmnTGBgoGnbtq1JS0urMuRAenq66dmzp3E4HKZv374mMzOz2u/n5MmTJiAgwDz22GMuyz/66CNz2223meDgYOPv72/69u1rVqxYUaWN1dUJNDU2Y/7VWxMALiI/P18RERH67LPPqnQ4RsPJzc1Vly5dtHv37ou+RuVy9tGtWzd99tlnuu666+q8vc1m07vvvntFX+ECXGn0aQJwUcYY5ebm6j//8z8VFhbm8rg/rpwbb7xRN954Y73WefbsWesW4U9+8pM6B6bKpyCB5oArTQAu6sSJEwoLC1PPnj310ksvWU+l4cooKyuzxrtyOByKioqqt7ozMzN1++2365prrtHbb7+t2NjYOm3/ww8/yOl0SpIiIiLUqlWremsb4G0ITQAAAG7g9hwAAIAbCE0AAABuIDQBAAC4gdAEAADgBkITAACAGwhNAAAAbiA0AQAAuIHQBAAA4Ib/D3t3+cie7G0YAAAAAElFTkSuQmCC", @@ -108,7 +125,7 @@ } ], "source": [ - "HD106252_ELODIE.plot()" + "HD106252_ELODIE.plot();" ] }, { @@ -121,21 +138,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "id": "ccb30e85", "metadata": {}, "outputs": [ - { - "data": { - "text/plain": [ - "(
,\n", - " )" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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", @@ -150,7 +156,7 @@ "source": [ "from kima.examples.multi_instruments import HD106252_combined\n", "\n", - "HD106252_combined.plot()" + "HD106252_combined.plot();" ] }, { @@ -176,7 +182,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "id": "83f6c4e4", "metadata": {}, "outputs": [], @@ -197,7 +203,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "id": "85c7070f", "metadata": {}, "outputs": [], @@ -216,104 +222,546 @@ "a uniform prior between 0 and 1 (by setting `npmax=1`)." ] }, + { + "cell_type": "markdown", + "id": "a077718b", + "metadata": {}, + "source": [ + "This is all that is necessary to setup the data and model, and we are now ready\n", + "to run the analysis. Notice that we didn't explicitly assign any priors (except\n", + "for the number of planets). This means **kima** will use all the default priors.\n", + "\n", + "Let's run the model for a few thousand steps and load the results" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "6f8b4429", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "log(Z) = -498.67164265769134\n", + "Information = 67.6310091586351 nats.\n", + "Effective sample size = 2984.7236142899683\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 2984/2984 [00:00<00:00, 8048.22it/s]\n" + ] + } + ], + "source": [ + "model, res = multi_instruments(run=True, load=True, steps=30_000)" + ] + }, + { + "cell_type": "markdown", + "id": "b592e0ab", + "metadata": {}, + "source": [ + "Did we find HD106252 _b_?" + ] + }, { "cell_type": "code", "execution_count": 8, - "id": "172a2321-aff5-466a-9a22-a38576a4a6f7", + "id": "2a59eb55", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Np probability ratios: []\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res.plot_posterior_np();" + ] + }, + { + "cell_type": "markdown", + "id": "6e9de14a", "metadata": {}, - "outputs": [], "source": [ - "import kima\n", - "from kima import RVData, RVmodel\n", - "from kima.pykima.utils import get_gaussian_prior_vsys, get_gaussian_priors_individual_offsets" + "Yes! In fact, even though the $N_p$ parameter was free, all the samples have\n", + "$N_p=1$ because the posterior probability is so much higher than for $N_p=0$.\n", + "So we're pretty sure about this detection. How does the fit look?" ] }, { "cell_type": "code", - "execution_count": 6, - "id": "665b24d1-cb07-48ae-817c-21a93d09375b", + "execution_count": 9, + "id": "0e837dae", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "data = RVData(\n", - " [\n", - " \"HD106252_ELODIE.txt\",\n", - " \"HD106252_HET.txt\",\n", - " \"HD106252_HJS.txt\",\n", - " \"HD106252_Lick.txt\"\n", - " ]\n", - ")" + "res.plot_random_samples();" + ] + }, + { + "cell_type": "markdown", + "id": "f090b839", + "metadata": {}, + "source": [ + "The `plot_random_samples` function just shows the Keplerian curves from a few\n", + "random posterior samples, together with the data. Note that the RV offsets for\n", + "each instrument are not subtracted from the data. This is on purpose: since\n", + "we're showing _several_ posterior samples (50 by default), there are actually\n", + "several values for the offsets. Zooming in on one particular dataset helps (note\n", + "the several blue curves):" ] }, { "cell_type": "code", - "execution_count": 7, - "id": "6f4dca3d-3c6e-4f06-83c4-417d6904eb36", + "execution_count": 10, + "id": "25420e9f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = res.plot_random_samples();\n", + "fig.axes[0].set_ylim(9600, 10200);" + ] + }, + { + "cell_type": "markdown", + "id": "34cb31a2", + "metadata": {}, + "source": [ + "Looking at the posterior for the orbital period, semi-amplitude, and\n", + "eccentricity of the planet clearly shows that the default priors are a bit too wide" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "206a96ed", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res.plot_posterior_PKE(show_prior=True);" + ] + }, + { + "cell_type": "markdown", + "id": "96d7b219", + "metadata": {}, + "source": [ + "The situation is similar for the systemic velocity and for the RV offsets, as\n", + "evidenced in the plots below, where we might not even see the posterior!" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "492711c2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "[
,
]" ] }, - "execution_count": 7, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "data" + "res.hist_vsys(show_prior=True)" + ] + }, + { + "cell_type": "markdown", + "id": "3af8d2be", + "metadata": {}, + "source": [ + "but they're there:" ] }, { "cell_type": "code", - "execution_count": 8, - "id": "11adc444-8c2f-4dc4-9aa4-547199c10afe", + "execution_count": 13, + "id": "37146136", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "model = RVmodel(fix=False, npmax=1, data=data)" + "res.hist_vsys();" + ] + }, + { + "cell_type": "markdown", + "id": "40f4b30f", + "metadata": {}, + "source": [ + "What we see here is that **kima** tries very hard to have default priors which\n", + "will be appropriate for every RV dataset. However, this does sometimes mean that\n", + "the priors are way too wide, which might hurt the performance of the sampler.\n", + "\n", + "These issues can be easily solved by setting slightly more informative priors\n", + "for the RV offsets and some of the orbital parameters. We'll use a couple of\n", + "helper functions available in `pykima.utils` to assign appropriate Gaussian\n", + "priors." ] }, { "cell_type": "code", - "execution_count": 9, - "id": "dafa1e7c-8165-4c63-b06a-ac7c410f529d", + "execution_count": 14, + "id": "172a2321-aff5-466a-9a22-a38576a4a6f7", "metadata": {}, "outputs": [], "source": [ - "model.Cprior = get_gaussian_prior_vsys(data)\n", - "model.individual_offset_prior = get_gaussian_priors_individual_offsets(data)" + "from kima.pykima.utils import (get_gaussian_prior_vsys, \n", + " get_gaussian_priors_individual_offsets)" ] }, { "cell_type": "code", - "execution_count": 10, - "id": "c8f815a0-246f-4eba-b78c-fff3fd842cd1", + "execution_count": 15, + "id": "af5eb387", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "Gaussian(62; 102.095)" ] }, - "execution_count": 10, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "model.Cprior = get_gaussian_prior_vsys(model.data, use_std=True)\n", "model.Cprior" ] }, { "cell_type": "code", - "execution_count": null, - "id": "653a5099-88df-457c-a7cc-91286c4f8dde", + "execution_count": 16, + "id": "d31abab2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[Gaussian(15518.5; 96.3933),\n", + " Gaussian(-71.9; 59.0117),\n", + " Gaussian(-65.4; 61.2813)]" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.individual_offset_prior = get_gaussian_priors_individual_offsets(model.data, use_std=True)\n", + "model.individual_offset_prior" + ] + }, + { + "cell_type": "markdown", + "id": "a5e8d0a5", + "metadata": {}, + "source": [ + "and also set a narrower prior for the semi-amplitude" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "72a2f666", + "metadata": {}, + "outputs": [], + "source": [ + "model.conditional.Kprior = kima.distributions.Uniform(0, 500)" + ] + }, + { + "cell_type": "markdown", + "id": "25e99379", + "metadata": {}, + "source": [ + "Let's run the model again using the new priors" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "9ea07a18", "metadata": {}, "outputs": [], + "source": [ + "kima.run(model, steps=30_000, num_threads=4)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "7b52d05b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "log(Z) = -470.77601559796693\n", + "Information = 41.027161549708126 nats.\n", + "Effective sample size = 3207.732713141128\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "100%|██████████| 3207/3207 [00:00<00:00, 11334.12it/s]\n" + ] + } + ], + "source": [ + "res = kima.load_results()" + ] + }, + { + "cell_type": "markdown", + "id": "08e5879f", + "metadata": {}, + "source": [ + "The priors for the systemic velocity and RV offsets are still relatively wide\n", + "but much more comparable to the posteriors" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "c94b62aa", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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uuece63vrn5588kmb13fccYdOnz6t5ORkSX+/V4wxKlasmE0/X19feXl5afXq1Tp79uxNYytWrJhOnTqVm8PSkiVLFBkZqYceesja5unpqYEDB+rChQv64YcfbPp36dLFektObvXt29fm9o877rhD6enp+uuvvyQ59vn7p2uvesiNHj162FwR1rhxYxljslwl1bhxYx08eFBpaWmSpC+//FIZGRnq2rWrNQecOnVKkZGRqly5slatWmWzfkBAgB555BHray8vLzVq1Eh//vlnruJOT0/X8uXL1blzZ1WoUMHaXrJkST388MP66aefrO9De+TkvblixQolJSXpoYcesjl2d3d3NW7cOMuxZ+f06dOSlOWzkZmjvv3225vOI5W5bm4/GwCAvEVxBQAKuKlTp2rFihVatWqVdu7cqT///FNxcXGSpL/++ktubm6qVKmSzTqRkZEKCQmx/nHXvHlzdenSRS+//LLCwsLUqVMnzZkzJ9s5Fa71xx9/yBijUaNGqUSJEjY/o0ePlvR/E0Vmio6Ovul2M2OrUqWKTbuXl5cqVKhgXZ6pdOnSN7y95trtVq5cOcuya/eVnYkTJ2r79u2KiopSo0aNNGbMGLv/IMzJ8WcqVaqU/P39bdpiYmIkKcucD850vfMv/X3bzalTp7Lc0lW2bFmb15l/7F37R6m5ZjJab29vTZgwQUuXLlVERITuvPNOTZw48bqPXDbG5Hri47/++kuVK1fOMnFwtWrVrMv/yZ7f1fXc7Lw48vnL5OHhkaPb2uyNNfOP+6ioqCztGRkZ1nk/9uzZI2OMKleunCUP7Nq1K0sOKFOmTJbfYbFixXJUXMvOyZMndenSpeu+XzMyMrLM/ZITOXlv7tmzR9Lf811de+zLly/Pcuw3cu1nIzo6WkOGDNEHH3ygsLAwxcXFaerUqVnmW/nnus6aFBwA4FzMuQIABVyjRo3UsGHDG/a52Zdti8WiBQsWaN26dfrf//6nb7/9Vr169dJbb72ldevW3XBejoyMDEnS0KFDrUWda11b3MnpVRv2yIttZqdr166644479NVXX2n58uV64403NGHCBH355Zdq27Ztjrbh7Fiv9/tNT0936n5u5npXI2X+0RcaGiqLxZLtH9CDBg1Shw4dtHDhQn377bcaNWqUxo8fr++//z7L3CpJSUkKCwtz/gFkwxm/q5udF0c+f5m8vb2zfdLUjd4b2cV1vVhvdgwZGRmyWCxaunRptn2vPYabba8gudl7MzMHzp8/X5GRkVnWz8nTxjLnyMrus/HWW2+pZ8+eWrRokZYvX66BAwdq/PjxWrdunU1BLXPd/PpsAADsw5UrAFCIlStXThkZGdb/Wc10/PhxJSUlWZ+aken222/XuHHj9Msvv+jjjz/Wjh079Omnn0q6/h9pmZfge3p6qlWrVtn+BAYG5ip2Sdq9e7dNe2pqqvbt25cldnu3e+05yW5f11OyZEk9/fTTWrhwofbt26fixYtr3Lhx1uXO/J/jI0eOZLlCJDExUZKsk2lmXglx7VOUrr0Kw57Yrnf+pb+fDBUWFpblipqb8fDwUMWKFa1PsrpWxYoV9eyzz2r58uXavn27UlNT9dZbb9n0OXz4sFJTU61XmtirXLly2rNnj/UP4ky///67dbmr5ObzdzPFihXL8r6Qsn9vOKJixYoyxig6OjrbHHD77bfbvU17jrlEiRLy8/O77vvVzc0ty9U39rjRezPzyVfh4eHZHvs/n8p0vWMqW7asfH19r/vZqFWrll588UWtWbNGP/74ow4fPpzlqWGZ6+b2swEAyFsUVwCgEGvXrp0kafLkyTbtkyZNkiS1b99e0t//43nt/xjXrVtXkqy3JmQ+feTaP9TCw8PVokULzZgxQ0ePHs0Sw7WPnM2pVq1aycvLS++++65NbB9++KHOnTtnjd1eJUuWVN26dTVv3jybS+tXrFhxw8fsSn//b/+1l+OHh4erVKlSNrdw+Pv7Z3vZfm6kpaVpxowZ1tepqamaMWOGSpQoYX1yTuYfd2vWrLGJdebMmVm2l9PY/nme/vk73759u5YvX259b9krNjZWv/zyi03bpUuXdOXKFZu2ihUrKjAwMMutMZnzzNzoqTE30q5dOx07dsz6pB7p73M8ZcoUBQQEWB/Hm58c+fzdTMWKFbVu3TqlpqZa2xYvXpyrW2Ru5P7775e7u7tefvnlLMdijLHOKWKPzOJdTo7Z3d1drVu31qJFi2xulzt+/Lg++eQTNWvWTEFBQXbHkJP3ZlxcnIKCgvTaa69lO2fOP3Pg9Y7J09NTDRs2zPLZSE5Ots5rk6lWrVpyc3PL9rNhsVgUGxtr30ECAPIFtwUBQCFWp04dxcfHa+bMmUpKSlLz5s21YcMGzZs3T507d9Zdd90lSZo3b57ef/993XfffapYsaLOnz+vWbNmKSgoyPpHtK+vr6pXr67PPvtMMTExCg0NVc2aNVWzZk1NnTpVzZo1U61atdSnTx9VqFBBx48fV0JCgg4dOqRff/3V7thLlCihkSNH6uWXX1abNm3UsWNH7d69W++//75uu+02m8kw7TV+/Hi1b99ezZo1U69evXTmzBlNmTJFNWrU0IULF6673vnz51WmTBk98MADqlOnjgICArRy5Upt3LjR5gqLBg0a6LPPPtOQIUN02223KSAgQB06dMhVrKVKldKECRO0f/9+xcTE6LPPPtPWrVs1c+ZM68SjNWrU0O23366RI0fqzJkzCg0N1aeffprljzJ7Y3vjjTfUtm1bxcbGqnfv3tZHMQcHB2vMmDG5Op5OnTpp/vz5SkxMtM4dk5iYqJYtW6pr166qXr26PDw89NVXX+n48ePq1q2bzforVqxQ2bJlr/sY5pvp27evZsyYoZ49e2rTpk0qX768FixYoLVr12ry5Mm5usrKUY5+/m7k8ccf14IFC9SmTRt17dpVe/fu1b///W9rQc5ZKlasqFdffVUjR47U/v371blzZwUGBmrfvn366quv1LdvXw0dOtTubYaEhGj69OkKDAyUv7+/GjdufN15cF599VWtWLFCzZo109NPPy0PDw/NmDFDKSkpmjhxYq6OKyfvzaCgIE2bNk2PPvqo6tevr27duqlEiRI6cOCAvvnmGzVt2lTvvfeepP97lPjAgQMVFxcnd3d363Y6deqkF154QcnJydZC0Pfff6/+/fvrwQcfVExMjNLS0jR//ny5u7urS5cuNrGuWLFCTZs2td5iBAAoYPL78UQAgJzJfMzrjR7faszfj799+eWXTXR0tPH09DRRUVFm5MiRNo9N3rx5s3nooYdM2bJljbe3twkPDzf33nuv+eWXX2y29fPPP5sGDRoYLy+vLI+F3bt3r+nRo4eJjIw0np6epnTp0ubee+81CxYsyFHM13uc8HvvvWeqVq1qPD09TUREhHnqqafM2bNnbfo0b97c1KhR4yZnzNYXX3xhqlWrZry9vU316tXNl19+aeLj42/4KOaUlBQzbNgwU6dOHRMYGGj8/f1NnTp1zPvvv2+zzoULF8zDDz9sQkJCbB7vnN2jXjNd71HMNWrUML/88ouJjY01Pj4+ply5cua9997Lsv7evXtNq1atjLe3t4mIiDDPP/+8WbFiRZZtXi+27B7FbIwxK1euNE2bNjW+vr4mKCjIdOjQwezcudOmT+ajmE+ePGnTnt3vNCUlxYSFhZlXXnnF2nbq1CnTr18/U7VqVePv72+Cg4NN48aNzX//+1+b7aWnp5uSJUuaF198McvxZye7RzEbY8zx48fNY489ZsLCwoyXl5epVatWluO+3uN6b7a/7B7FfO37/drftaOfv/j4eOPv73/duN566y1TunRp4+3tbZo2bWp++eWX6z6K+dr35vWO4Xq/8y+++MI0a9bM+Pv7G39/f1O1alXTr18/s3v3bmuf631es/v8LVq0yFSvXt14eHjk6LHMmzdvNnFxcSYgIMD4+fmZu+66y/z88882fex5FHNO35uZ68fFxZng4GDj4+NjKlasaHr27Gnze0xLSzMDBgwwJUqUMBaLxeaxzMePHzceHh5m/vz51rY///zT9OrVy1SsWNH4+PiY0NBQc9ddd5mVK1fa7DspKcl4eXmZDz744IbnBwDgOhZjCuDMYgAAoNB65ZVXNGfOHO3Zs+emj+T+p4ULF+rhhx/W3r17VbJkyTyMEHCN3r17KzExUT/++KNd602ePFkTJ07U3r17821ybwCAfSiuAAAAp7pw4YIqVKigt99+W927d8/xerGxsbrjjjtyfYsHUNAdOHBAMTEx+u6779S0adMcrXP16lVVrFhRI0aM0NNPP53HEQIAcoviCgAAAAAAgAN4WhAAAAAAAIADKK4AAAAAAAA4gOIKAAAAAACAAyiuAAAAAAAAOIDiCgAAAAAAgAMorgAAAAAAADiA4goAAAAAAIADKK4AAAAAAAA4gOIKAAAAAACAAyiuAAAAAAAAOIDiClBItWjRQj4+PgoICFBAQIDatm3r6pAA4JZG3gWA/DNx4kRFRUUpMDBQ9erV0/nz510dEnBDFFeAAq5nz56aO3dutss++OADXbhwQRcuXNDSpUvzNzAAuAXdKOdK5F0AcJYb5dupU6dq2bJlWrt2rZKTkzVv3jx5eXnlb4CAnSiuAEXUxIkTVbVqVWVkZLg0junTp6ts2bJKSUlxaRwAkJcKSs6VyLsACrb09HSNGzdOs2bNUtmyZWWxWFS7dm15e3vnaH3yLVyF4goKvQsXLmj06NFq06aNQkNDZbFYsq2Cr169WhaLJdufdevW5apvTvedadOmTWrTpo2CgoIUGBio1q1ba+vWrbk+9sGDB6tEiRK65557tG3bthyvl5ycrAkTJmj48OFyc3NuGsjIyFCJEiU0ceLEHPXv2bOnUlNTNWPGDKfGAaDwsDeXpqSkaPjw4SpVqpR8fX3VuHFjrVixIku/jRs3qn///qpRo4b8/f1VtmxZde3aVYmJibmONTd5Ny9zrkTeBZA39uzZo27duqlMmTLy8/NT1apVNXbsWF26dCnb/ps3b1bHjh0VGhoqPz8/1axZU++++67d+z106JAuXbqkBQsWKCIiQlWqVNGsWbNytG5B+o4rkW+LGg9XBwA46tSpUxo7dqzKli2rOnXqaPXq1TfsP3DgQN122202bZUqVcpVX3v2vXnzZjVr1kxRUVEaPXq0MjIy9P7776t58+basGGDqlSpcuMDvcbEiRNVvXp1ubu7a8qUKWrbtq1+//13BQYG3nTd2bNnKy0tTQ899JBd+8yJDRs26NSpU2rfvn2O+vv4+Cg+Pl6TJk3SgAEDZLFYnB4TgILN3jzes2dPLViwQIMGDVLlypU1d+5ctWvXTqtWrVKzZs2s/SZMmKC1a9fqwQcfVO3atXXs2DG99957ql+/vtatW6eaNWvaFWdu825e5lyJvAvA+Q4ePKhGjRopODhY/fv3V2hoqBISEjR69Ght2rRJixYtsum/fPlydejQQfXq1dOoUaMUEBCgvXv36tChQ3bv+/Dhwzp37pwSExO1f/9+7dmzRy1btlTVqlV1xx133HDdgvQdVyLfFjkGKOSuXLlijh49aowxZuPGjUaSmTNnTpZ+q1atMpLM559/ftNt5rRvTvdtjDHt2rUzxYoVM6dOnbK2HTlyxAQEBJj777/fpm/79u1NcHCwCQ4ONp6ensbX19f6evz48dluv0qVKmb58uU3PTZjjKldu7Z55JFHctTXXqNGjTLlypWza51ffvnFSDLfffddnsQEoGCzJ5euX7/eSDJvvPGGte3y5cumYsWKJjY21qbv2rVrTUpKik1bYmKi8fb2Nt27d7e25SbnGpPzvJuXOdcY8i4A5xs3bpyRZLZv327T3qNHDyPJnDlzxtp27tw5ExERYe677z6Tnp5+w+3mJN9u3rzZSDL79++3rte/f38zYsSIm8Zd0L7jGkO+LUq4LQiFnre3tyIjI+1a5/z580pLS3O4rz37/vHHH9WqVSsVL17c2layZEk1b95cixcv1oULF6ztixcvVlJSkpKSkvTwww/r/ffft74eMWJEttt3c3OTMeamcezbt0/btm1Tq1atbNrHjBkji8WixMREPfLIIwoODlaJEiU0atQoGWN08OBBderUSUFBQYqMjNRbb72V7fa/+eYbm4r++fPnNWjQIJUvX17e3t4KDw/XPffco82bN1v7NGjQQKGhoVn+FwRA0WBPLl2wYIHc3d3Vt29fa5uPj4969+6thIQEHTx40NrepEmTLBMgVq5cWTVq1NCuXbusbbnJuVLO8u71cq5E3gVQcCUnJ0uSIiIibNpLliwpNzc3m9z6ySef6Pjx4xo3bpzc3Nx08eLF6853kpN8GxMTIy8vL5urPHJyxUdB/I4rkW+LEoorKHIee+wxBQUFycfHR3fddZd++eUXp/S9mZSUFPn6+mZp9/PzU2pqqrZv357jbSUlJWnFihVKSUlRamqq3n77bZ05c0aNGze+6bo///yzJKl+/frZLv/Xv/6ljIwMvf7662rcuLFeffVVTZ48Wffcc49Kly6tCRMmqFKlSho6dKjWrFljs+6xY8e0ZcsWtWvXztr25JNPatq0aerSpYvef/99DR06VL6+vjZ/2GTGs3bt2hyfAwBF05YtWxQTE6OgoCCb9kaNGknSTeexMsbo+PHjCgsLs2u/uc27N8u5EnkXQMHTokULSVLv3r21detWHTx4UJ999pmmTZumgQMHyt/f39p35cqVCgoK0uHDh1WlShUFBAQoKChITz31lK5cuWL3vv39/fXAAw9o3LhxSklJ0a5du/TZZ5/Z5LnsFNTvuJkxkW+LAFdeNgM4240uJ1+7dq3p0qWL+fDDD82iRYvM+PHjTfHixY2Pj4/ZvHlzrvvmZN/GGFOrVi0TExNj0tLSrG0pKSmmbNmyRpJZsGBBtuvFx8dn2eaJEydMgwYNTEBAgClWrJi56667zKZNm65/Yv7hxRdfNJLM+fPnbdpHjx5tJJm+ffta29LS0kyZMmWMxWIxr7/+urX97NmzxtfX18THx9ts48MPPzS+vr7m0qVL1rbg4GDTr1+/m8bVt29f4+vrm6NjAHDrulkurVGjhrn77ruztO/YscNIMtOnT7/h9ufPn28kmQ8//DDb5dnlXGNyn3evl3ONIe8CKNheeeUV4+vrayRZf1544YUs/WrXrm38/PyMn5+fGTBggPniiy/MgAEDjCTTrVu3627/evnWmL9z3v33328CAgJM+fLlzYwZM24ab0H9jmsM+baoYEJbFBlNmjRRkyZNrK87duyoBx54QLVr19bIkSO1bNmyXPXNqaefflpPPfWUevfureeee04ZGRl69dVXdfToUUnS5cuXs10vuydmlChRItdX0Zw+fVoeHh4KCAjIdvnjjz9u/be7u7saNmyoQ4cOqXfv3tb2kJAQValSRX/++afNukuWLNFdd91lc4VOSEiI1q9fryNHjqhUqVLXjatYsWK6fPmyLl26JD8/v1wdGwDXy8jIUGpqao76ent72z253+XLl7N9HKePj491+fX8/vvv6tevn2JjYxUfH59tn+s9pSi3efdmOVci7wLIW7nNy+XLl9edd96pLl26qHjx4vrmm2/02muvKTIyUv3797euc+HCBV26dElPPvmk9elA999/v/UpOWPHjlXlypWz7OtGT4ULCQnRF198YcdRFtzvuBL5tqjgtiAUaZUqVVKnTp20atUqpaenO61vdp588kk9//zz+uSTT1SjRg3VqlVLe/fu1XPPPSdJN/zinZ/Kli1r8zo4OFg+Pj5ZLqEPDg7W2bNnra+vXr2qFStWZJlBfeLEidq+fbuioqLUqFEjjRkzJsuAJck6bwGzqAOF25o1a+Tr65ujn927d9u9fV9fX6WkpGRpz7z0PLvbL6W/L+lu3769goODrfO2FBTkXQB5KTd5+dNPP1Xfvn31wQcfqE+fPrr//vv14YcfKj4+XsOHD9fp06et28/Mu9c+oefhhx+WJCUkJOTTkd6Yq3KtRL4tKrhyBUVeVFSUUlNTdfHixSz38DvSNzvjxo3T0KFDtWPHDgUHB6tWrVp6/vnnJf09eVd+KF68uNLS0nT+/PlsHx+a3R8c1/sjxPxjIseffvpJycnJWe6H7dq1q+644w599dVXWr58ud544w1NmDBBX375pdq2bWvtd/bsWfn5+V33DyMAhUPVqlU1Z86cHPUtWbKk3dsvWbKkDh8+nKU98yrA7P738Ny5c2rbtq2SkpL0448/3vR/GJ3pZjlXIu8CyFu5ycvvv/++6tWrpzJlytgs79ixo+bOnastW7ZYJ44tVaqUduzYkWXy2/DwcEmyKVTkpYL6HVci3xYVFFdQ5P3555/y8fHJ0ZUj9vS9nmLFiqlZs2bW1ytXrlSZMmVUtWrVXG0vISFBTZs21dixY/Xiiy/etH/mfvbt26fatWvnap/Z+eabb1S9enWVL18+y7KSJUvq6aef1tNPP60TJ06ofv36GjdunM3As2/fPlWrVs1p8QBwjcjISPXs2TPPtl+3bl2tWrVKycnJNkXu9evXW5f/05UrV9ShQwclJiZq5cqVql69ukP7nzhxoqZMmaKkpCRVqlRJa9asuW7RRMq7nCuRdwHkTG7y8vHjx1WsWLEs7VevXpUkmydpNmjQQCtWrLBOaJvpyJEjkv6+rdJe137XvnTpkt544w09++yz112noH7HzYyJfHvr47YgFBknT57M0vbrr7/q66+/VuvWreXm5parvo747LPPtHHjRg0aNChX28zIyNDgwYN122235Xid2NhYSXLoyUfZWbJkSZbLJdPT03Xu3DmbtvDwcJUqVSrLZf2bN2+2mecGALLzwAMPKD09XTNnzrS2paSkaM6cOWrcuLGioqKs7enp6frXv/6lhIQEff7559b8l1tTp07VsmXLtHbtWiUnJ2vevHlZHvV8rbzKuRJ5F0DeiYmJ0ZYtW5SYmGjT/p///Edubm42xYuuXbtKkj788EObvh988IE8PDysTx6yx4ULF6w/iYmJcnNz0/3333/DdQrqd1yJfFtUcOUKbgnvvfeekpKSrBXy//3vfzp06JAkacCAAQoODta//vUv+fr6qkmTJgoPD9fOnTs1c+ZM+fn56fXXX7fZnj19c7Jv6e/7XceOHavWrVurePHiWrdunebMmaM2bdromWeeydVxz5w5U40bN86S3G+kQoUKqlmzplauXKlevXrlar/X2rdvn3bt2qVp06bZtJ8/f15lypTRAw88oDp16iggIEArV67Uxo0b9dZbb1n7bdq0SWfOnFGnTp2cEg+AwienubRx48Z68MEHNXLkSJ04cUKVKlXSvHnztH///ixf7J999ll9/fXX6tChg86cOaN///vfNssfeeSRHMeXnp6ucePG6ccff7Tet5+T/xnNi5wrkXcB5K1hw4Zp6dKluuOOO9S/f38VL15cixcv1tKlS/X444/b3F5Zr1499erVS7Nnz1ZaWpqaN2+u1atX6/PPP9fIkSMdvhXzk08+UWxsrKKjo2/YryB+x5XIt0WKKx9VBDhLuXLlbB4T98+fffv2GWOMeeedd0yjRo1MaGio8fDwMCVLljSPPPKI2bNnT5bt2dM3J/s2xpg//vjDtG7d2oSFhRlvb29TtWpVM378eJOSkpKrYz516pSpUqWKOXv2rImPjzevvPJKjtedNGmSCQgIsHmcXOZj6k6ePGnTNz4+3vj7+2fZRvPmzU2NGjWMMca89957Jjg42Fy9etWmT0pKihk2bJipU6eOCQwMNP7+/qZOnTrm/ffft+k3fPhwU7ZsWZORkZHjYwBwa8lpLjXGmMuXL5uhQ4eayMhI4+3tbW677TazbNmyLNts3rz5dbdp71eg/fv3m+DgYPP666+b8PBwExMTY2bOnJmjdbPLucaQdwEUbOvXrzdt27Y1kZGRxtPT08TExJhx48ZlyTvGGJOammrGjBljypUrZzw9PU2lSpX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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res.hist_vsys(show_prior=True);" + ] + }, + { + "cell_type": "markdown", + "id": "a3ed4b26", + "metadata": {}, + "source": [ + "and for the orbital parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "72390f2e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res.plot_posterior_PKE(show_prior=True);" + ] + }, + { + "cell_type": "markdown", + "id": "80893f9f", + "metadata": {}, + "source": [ + "In any case, the orbital parameters of HD106252 _b_ are well recovered. The\n", + "maximum likelihood solution provides an excellent fit to the data." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "63771a9d", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample with the highest likelihood value (logL = -422.84)\n", + "-> might not be representative of the full posterior distribution\n", + "\n", + "jitter:\n", + "[ 0. 6.40600629 0.92606019 10.59487361 3.81708227]\n", + "number of planets: 1\n", + "orbital parameters: P K M0 e ω \n", + " 1532.14695 140.23845 0.72411 0.48398 5.10110\n", + "instrument offsets: (relative to Lick) \n", + " ELODIE HET HJS \n", + " 15519.108 -98.130 -84.104 \n", + "vsys: 6.95947983\n", + "0 1 1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p = res.maximum_likelihood_sample()\n", + "res.phase_plot(p);" + ] + }, + { + "cell_type": "markdown", + "id": "af37caae", + "metadata": {}, + "source": [ + "
\n", + "
Warning
\n", + "

\n", + " In this example, we used some properties of the data to assign priors for a few parameters.\n", + " Some Bayesians might not agree with this and, in general, they would be right. \n", + " However, note in the figures above for the original analysis how there's just no posterior \n", + " mass across very very wide regions of the prior. Upon realizing this, we tried to come up \n", + " with more informative priors. That means that, in essence, we just performed a prior \n", + " sensitivity analysis, and concluded that the posterior estimates for the parameters were consistent.\n", + "

\n", + "

\n", + " Note also that this is very different from setting a prior for the orbital period\n", + " based on a periodogram analysis, for example, which is almost never justified.\n", + "

\n", + "
" + ] + }, + { + "cell_type": "markdown", + "id": "899fc59a", + "metadata": {}, "source": [] } ],