Transferring a circular orbits radius using kinetic energy
A space vehicle is in a circular orbit about the earth. The mass of the vehicle is 3,000 kg and the radius of the orbit is 2Re= 12,800km. The vehicle must be transferred to a circular orbit of radius 4Re.
a) What is the minimum energy expenditure required for the transfer?
b) An efficient way to accomplish the transfer is to use a semielliptical orbit (Hohmann transfer orbit). What velocity changes are required at the points of intersection between the original orbit and the semiellipse called A, and between the semiellipse and new circular orbit B?
Â© BrainMass Inc. brainmass.com June 7, 2023, 2:18 pm ad1c9bdddfhttps://brainmass.com/physics/orbits/transferringcircularorbitsradiuskineticenergy6486
Solution Preview
(a)
Energy (E1) = (GMe.m/2Re) + (1/2) m.v1^2
Eneryg (E2) = (GMe.m/4Re) + (1/2) m.v2^2
Here, v1 = sqrt(GMe/2Re)
and, v2 = ...
Solution Summary
This solution outlines the calculations needed to determine the energy and velocity changes required to modify the orbit of a space vehicle.
Free BrainMass Quizzes

Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Test your knowledge of moon phases and movement.

Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

This quiz will test your knowledge about basic Physics.