MIT OpenCourseWare http://ocw.mit.edu 16.346 Astrodynamics Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.the times of arrival. See Pages 427–42. At time t = t0 the position and velocity vectors of a spacecraft are r0 = √− 2 i x+ √2 i y and v0 = √− µ i x a. Prove that the orbit is a parabola. b. Find the orbital parameter and the direction of the apsidal line. c. Find the position and velocity vectors at time t = t 1 where 10 2 t1 − t0 = Do not use a calculator! 3 µ 1. The Hohmann Transfer er a Hohmann Transfer orbit arth to Mars. Assuming that an distance of Mars is 1.523 au at all planet orbits are circles, e time to travel from earth to n years. o the same for trips to Jupiter uto whose mean distances are u and 39.517 au. all three cases, calculate the n the earth arture. Also ocities of the et planets at 28 e velocity betweeConsidfrom ethe meand thfind thMars iDand Pl5.202 aInrelativand the spacecraft at depcalculate the relative velspacecraft and the targExercises 04 Fig. 9.3 from An Introduction to the Mathematics and Methods of Astrodynamics. Courtesy of AIAA. Used with
View Full Document
Unlocking...