Firstly, we must define what is Perigee and Apogee:
The apogee is the point in an elliptical orbit around the Earth <u>where a body is furthest from the center of it and according to Kepler's 2nd law the speed of a satellite at this point is the lowest.
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On the other hand, the <u>perigee</u> is the opposite orbital point. <u>It is where a satellite is closest to Earth and its orbital speed is maximum.
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Therefore, if we want to throw an object in such a way that it is orbiting the Earth at the same distance respect to the ground, the minimum speed must be that which is in the perigee.
It is the winter solstice. T<span>he solstice that marks the onset of winter, at the time of the shortest day, about December 22 in the northern hemisphere and June 21 in the southern hemisphere. I know this mainly because I had the same question. Good luck :)</span>
