Solution Found!
The general Kepler orbit is given in polar coordinates by
Chapter 8, Problem 8.30(choose chapter or problem)
The general Kepler orbit is given in polar coordinates by (8.49). Rewrite this in Cartesian coordinates for the cases that E = 1 and E > 1. Show that if E = 1, you get the parabola (8.60), and if E > 1, the hyperbola (8.61). For the latter, identify the constants a, ,8, and 6 in terms of c and E.
Questions & Answers
QUESTION:
The general Kepler orbit is given in polar coordinates by (8.49). Rewrite this in Cartesian coordinates for the cases that E = 1 and E > 1. Show that if E = 1, you get the parabola (8.60), and if E > 1, the hyperbola (8.61). For the latter, identify the constants a, ,8, and 6 in terms of c and E.
ANSWER:Step 1 of 4
The Kepler orbit in polar coordinates is given as,
Here, is the eccentricity and is the length.