Comments by "" (@rstevewarmorycom) on "Simple DIY Round Earth Experiments" video.
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@nemeart
Gravitational orbit is composed of two energies, potential and kinetic. A circle is also an ellipse. When the orbital velocity matches the required velocity for that orbital radius, its path is a circle, The circular orbital velocity is given by v = SQRT (GM/r^2). If you have too much orbital velocity for the orbital distance from the center of the earth, the extra energy climbs the gravitational "hill" and that energy is stored in increased radius, and gravitational energy, for half the orbit, and when it falls down again it changes to the extra speed again, resulting in an ellipse with the earth at one focus. In an elliptical orbit the two energies, potential and kinetic, keep exchanging energies even though the total of the two is a constant, as in a circular orbit. When satellites or manned craft are launched, an extra engine burn is often done to circularize the orbit. In a circular orbit apogee and perigee are the same, but in an elliptical orbit, the apogee is greater than the perigee. Kinetic energy is KE = mv^2/2 and PE is mgr, where r is the radius of the orbit, and m is the objects mass, and g is the force of gravity. To know the apogee height, just calculate the increase in r from the energy equations.
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