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57 lines
1.8 KiB
Python
57 lines
1.8 KiB
Python
#!/usr/bin/env python
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"""
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Energies
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Compute energies (kinetic or total)
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@ Author: Moussouni, Yaël (MSc student) & Bhat, Junaid Ramzan (MSc student)
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@ Institution: Université de Strasbourg, CNRS, Observatoire astronomique
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de Strasbourg, UMR 7550, F-67000 Strasbourg, France
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@ Date: 2025-01-01
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Licence:
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Order and Chaos in a 2D potential
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Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
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Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr)
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energies.py
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Copyright (C) 2025 Yaël Moussouni (yael.moussouni@etu.unistra.fr)
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Bhat, Junaid Ramzan (junaid-ramzan.bhat@etu.unistra.fr)
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see https://www.gnu.org/licenses/.
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"""
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import numpy as np
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def kinetic(W: np.ndarray) -> np.ndarray:
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"""Computes the kinetic energy.
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@param
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- W: Phase-space vectors
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@returns
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- T: Kinetic energy
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"""
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U = W[1,0]
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V = W[1,1]
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# If U or V is not an array (or a list), but rather a scalar, then we
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# create a list of one element so that it can work either way
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if np.ndim(U) == 0: U = np.array([U])
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if np.ndim(V) == 0: V = np.array([V])
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return (U**2 + V**2)/2
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def total(W: np.ndarray,
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potential,
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kinetic = kinetic) -> np.ndarray:
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return potential(W) + kinetic(W)
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