For a hyperbolic trajectory the total energy must be positive. E > 0 means epsilon > 1 (hyperbola). For E = 0 you get eps = 1 (parabola) and for E < 1 you get eps < 1 (ellips or circle when eps = 0). Read this too: en.wikipedia.org/wiki/Kepler_orbit#Properties_of_trajectory_equation
THANK YOU. Great explanation
Thank you very much for making these videos, professor, they are very valuable and useful to me!
Someone who can't draw, isn't a very good teacher. Graphically this is so simple.
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Plz keep helping and uploading videos
Thank you
You just arrived my friend the equation for the equation of the path of any orbiting body in the influence of gravity which is a conic section
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Any videos related to eq of orbit in polar coordinates
Why can r not be smaller than r(hyperbola)?
For a hyperbolic trajectory the total energy must be positive. E > 0 means epsilon > 1 (hyperbola).
For E = 0 you get eps = 1 (parabola) and for E < 1 you get eps < 1 (ellips or circle when eps = 0).
Read this too: en.wikipedia.org/wiki/Kepler_orbit#Properties_of_trajectory_equation
Why do you Cross (B sin phi)?