{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import CactusTool\n", "\n", "name = 'RIT0377_res0'\n", "sim = CactusTool.load(name, '/Volumes/simulations/HUST_Catalog', 'RIT0377')\n", "\n", "# name = 'BBH0000_D25'\n", "# sim = CactusTool.load(name, '/Volumes/simulations/HUST_Catalog')\n", "\n", "trajectory = sim.ThornOutput('puncturetracker')\n", "bbh = sim.ThornOutput('twopunctures')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "mode": "lines+markers", "name": "y", "type": "scatter", "x": [ 0, 0.609910714285714, 1.22705357142857, 1.84419642857143, 2.46133928571429, 3.07848214285714, 3.695625, 4.31276785714286, 4.92991071428571, 5.54705357142857, 6.16419642857143, 6.78133928571429, 7.39848214285714, 8.015625, 8.63276785714286, 9.24991071428571, 9.86705357142857, 10.4841964285714, 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", 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