Viewing page 39 of 63

This transcription has been completed. Contact us with corrections.

Velocity transformation IJK->SEZ

IJK is an inertial reference frame
SEZ is a non-inertial reference frame
                                 either way, IJK is moving.
Vx, Vy, and Vz (from telemetry are given in terms of
i j k coordinates)

Before applying the rotation matnces, need to express
Vx, Vy, Vz in the non-inertial frame(although they will still be in i,j,k coordinates-> the rotation matnces will get the min s,e,z,coords)

vel of object = Vel of object + true vel of pt in
reltofixed      relto              moving frame
frame           monng frame        where object is
(Vx,Vy,Vz)      (Vi,Vj,Vk)         located
                                   (wxr)             Wo=ano
                                    w=(0,0,Wo)       Velocity
                                    r=(x,y,z)        of earth
                                       [up arrow] from telemetry

wxr=(0,0,Wo)x(x,y,z) = -WoYX+WoXY
                        [up arrow] subtract these from Vx and Vy
                        components from telemetry

(Vi,Vy,Vk)=(Vx+WoY,Vy-WoXVz)
[up arrow]
Apply rotation 
 matrices to                         SEE PG. 87 "FUN. OF ASTRODYNAMICS"
 this velocity                        CORIOLIS THM
 vector to get this