How do I color my orbits based off of Jacobi Constant?

Question

Mark 2024-2-7

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2079681-how-do-i-color-my-orbits-based-off-of-jacobi-constant

回答： Star Strider 2024-2-7

采纳的回答： Star Strider

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This is what I want my plot to look like:

This is what my plot looks like:

This is my plot code with Jacobi Constant vector:

figure(1), color_map = jet(15);
grid on, hold on,
for ii = 1:15
  plot(x(:, 1), x(:, 2), 'Color', color_map(ii, :), 'Linewidth', 1),
  xlabel('x, NDU'), ylabel('y, NDU'),
  plot(L(1, 1), 0, 'k.', 'MarkerSize', 20), 
  text(L(1, 1) + 0.013, 0, 'L1', 'Color', 'k'),
  plot(L(2, 1), 0, 'k.', 'MarkerSize', 20),
  text(L(2, 1) + 0.013, 0, 'L2', 'Color', 'k'),
  plot(L(3, 1), 0, 'k.', 'MarkerSize', 20), 
  text(L(3, 1) + 0.005062645806268, 0, 'L3', 'Color', 'k'),
  plot(L(4, 1), L(4, 2), 'k', 'Markersize', 20),
  text(L(4, 1) - 0.05, L(4, 2) + 0.05, 'L_4', 'Color', 'k'),
  plot(L(5, 1), L(5, 2), 'k', 'Markersize', 20),
  text(L(5, 1) - 0.05, L(5, 2) - 0.05, 'L_5', 'Color', 'k'),
  plot(1 - mu, 0, 'k.', 'MarkerSize', 20),
  text(1 - mu + 0.013, 0, 'Moon', 'Color', 'k'),
  plot(-mu, 0, 'k.', 'MarkerSize', 20),
  text(-mu + 0.02, 0, 'Earth', 'Color', 'k'),
end
colorbar
  
C =
   3.007676099413564
   2.994200622706611
   2.971545695246074
   2.939417270410701
   2.897381208873815
   2.844828980359512
   2.780923329169862
   2.704511298825675
   2.613980216377739
   2.507005968545220
   2.380077662128345
   2.227495703195107
   2.038881730418720
   1.791003662001313
   1.396075232221978
   

My central problem is that the Jacobi Constant values are not integers and I am not sure how to associate each value with a color to plot. This code has many support functions and I did not add them here. Hopefully this is enough to answer the question.

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Answer 1

Star Strider 2024-2-7

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2079681-how-do-i-color-my-orbits-based-off-of-jacobi-constant#answer_1404751

I would use the surf function with your matrix, with 'EdgeColor','interp' and then view(0,90). The contour (and contourf) funcitons are not designed to do the sort of plot you want. You might also consider using the daspect function.