File:Tidal field and gravity field.svg

Original file ‎(SVG file, nominally 985 × 581 pixels, file size: 49 KB)

Summary

Description
English: Tidal field (thick red arrows) and gravity field (thin blue arrows) exerted on Earth's surface and center (label O) by the Moon (label S).
Date
Source Own work
Author fgnievinski
SVG development
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Source code
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Matplotlib code 
import matplotlib.pyplot as plt import numpy as np  if __name__ == "__main__":     fig = plt.figure(figsize=(15.2, 8))     ax = fig.add_subplot(111)      R = 10  # planet radius     pp = [0, 0]  # planet position     ps = [40, 0]  # satellite position     k = 2750  # force scale      dist = lambda p1, p2: np.sqrt( (p1[0]-p2[0])**2 + (p1[1]-p2[1])**2 )  # Euclidean distance     irsq = lambda p: 1 / dist(p, ps)**2   # inverse square distance     gmag = lambda p: k*irsq(p)           # satellite's gravity force magnitude     gdir = lambda p: np.divide(np.subtract(ps, p), dist(ps, p))  # satellite's gravity force direction     gvec = lambda p: gmag(p)*gdir(p)     # satellite's gravity force vector          gp = gvec(pp)  # satellite's gravity vector at center of planet     tvec = lambda p: gvec(p)-gp  # satellite's tide force vector      theta = np.linspace(-np.pi, np.pi, 50)  # circle internal angle     for ti in theta:         pi = [-R * np.cos(ti), R * np.sin(ti)]  # evaluation point on the perimeter (planet's surface)         ti = tvec(pi)  # tide at evaluation point         gi = gvec(pi)  # gravity at evaluation point                   ax.arrow(pp[0], pp[1], gp[0], gp[1], head_width=0.5/2, head_length=0.7/2, fc='b', color='b')         ax.arrow(pi[0], pi[1], gi[0], gi[1], head_width=0.5/2, head_length=0.7/2, fc='b', color='b')         ax.arrow(pi[0], pi[1], ti[0], ti[1], head_width=0.5/1, head_length=0.7/1, fc='r', color='r')      ax.plot(pp[0], pp[1], 'ok')     #ax.annotate(r"+", xytext=(0,0), size=30, xy=(0,0), ha="center", va="center")     ax.annotate(r"O", xytext=(-1,0), size=30, xy=(0,0), ha="center", va="center")     ax.annotate(r"S", xy=(25,0), xytext=(15,0),                 size=30, va="center",                 arrowprops=dict(arrowstyle="fancy", fc='k'))     ax.set_xlim(-13, 25)     ax.set_ylim(-11, 11)     ax.plot(R*np.cos(theta), R*np.sin(theta), '-k', linewidth=3.)     ax.set_aspect('equal', 'box')     ax.axis('off')     plt.savefig('field tidal.svg', bbox_inches='tight', pad_inches=.15, transparent='true')

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This file was derived from: Field tidal.svg by original author

Captions

Tidal field and gravity field

Items portrayed in this file

depicts

tidal force

gravitational field

inception

2 September 2023

media type

image/svg+xml

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Date/TimeThumbnailDimensionsUserComment
current01:35, 3 September 2023Thumbnail for version as of 01:35, 3 September 2023985 × 581 (49 KB)FgnievinskiUploaded own work with UploadWizard
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