FYKOS Year 28 Series 2 Problem 5 — gravitational manuevers · FYKOS 28 #28.2.5

Physics · mechanics

Problem

Assume a satelite which orbits the sun on an elliptical orbit. If we lower the speed in the aphelion

v_{a}

to 4⁄5 of the initial velocity (i.e. to 4⁄5

v_{a})

, how will the speed of the satelite change in the perihellion? Express the new velocity using the initial velocity

v_{p}

and the parameters of the ellipse (main axis

a

and relative eccentricity

ε)