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Question-215952




Question Number 215952 by ajfour last updated on 22/Jan/25
Commented by ajfour last updated on 22/Jan/25
A satellite been revolving about Earth in  orbit of radiud R_E  . If somewhere its  velocity is increased by 25% it would  go in an ellipse now. But where such   ellipse crosses orbit of radius 2R it is   given an impulse (hopefully be by   ejecting some mass at a certain   direction with some v_(rel) . Find the   Impulse exchange J it exchanges to   make it suddenly adopt the orbit of   radius 2R.
AsatellitebeenrevolvingaboutEarthinorbitofradiudRE.Ifsomewhereitsvelocityisincreasedby25%itwouldgoinanellipsenow.Butwheresuchellipsecrossesorbitofradius2Ritisgivenanimpulse(hopefullybebyejectingsomemassatacertaindirectionwithsomevrel.FindtheImpulseexchangeJitexchangestomakeitsuddenlyadopttheorbitofradius2R.

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