Question: Animated plots and efficiency

Hi there.

I would like to get advice about most elegant and effective ways of building animated plots (sequnces of plots) of two kinds:

1. Coordinates of point on some background curve. So each plot in sequence contain constant background curve and single point that moving from plot to plot;

2. Line of points from some array. So i-th plot in sequence draw line that build on i (1..i) points from array.

I want to demonstrate these animated plots on some example - Kepler problem (point moving on ellipse):

But I don't think that my code is effective.

Thank you.

Please Wait...