The generalized Kepler orbit is given in polar coordinates r($)=c/(1+ɛ-cos(6)), where c is a constant and & is the eccentricity of the orbit. Rewrite this in Cartesian coordinates for -1 and show that the orbit is a parabola, y2 = A + B-x, where A and B are constants. Define constants A and B via constant c.
The generalized Kepler orbit is given in polar coordinates r($)=c/(1+ɛ-cos(6)), where c is a constant and & is the eccentricity of the orbit. Rewrite this in Cartesian coordinates for -1 and show that the orbit is a parabola, y2 = A + B-x, where A and B are constants. Define constants A and B via constant c.
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Transcribed Image Text:2. The generalized Kepler orbit is given in polar coordinates r($)=c/(1+e cos()), where c is a constant and
& is the eccentricity of the orbit. Rewrite this in Cartesian coordinates for -1 and show that the orbit is a
parabola, y² = A + B x, where A and B are constants. Define constants A and B via constant c.
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