Orbital Maneuvers - Orbital and Celestial Mechanics Website
Orbital Maneuvers - Orbital and Celestial Mechanics Website
Orbital Maneuvers - Orbital and Celestial Mechanics Website
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<strong>Orbital</strong> <strong>Mechanics</strong> with MATLAB<br />
final spacecraft mass 959.8933 kilograms<br />
propellant mass 187.8393 kilograms<br />
total inclination change 28.5000 degrees<br />
total delta-v 5783.7751 meters/second<br />
thrust duration 191.2624 days<br />
initial yaw angle 21.9850 degrees<br />
thrust acceleration 0.000350 meters/second^2<br />
The software will also graphically display the time evolution of the thrust vector yaw angle,<br />
spacecraft speed, inclination change <strong>and</strong> semimajor axis.<br />
cdeorbit.m – single impulse de-orbit from a circular orbit<br />
This MATLAB script calculates the single impulsive maneuver required to establish a reentry<br />
altitude <strong>and</strong> flight path angle relative to a non-rotating, spherical Earth. The algorithm uses a<br />
tangential delta-v applied opposite to the velocity vector of an initial circular orbit to establish<br />
the de-orbit trajectory.<br />
The scalar magnitude of the single impulsive maneuver required to de-orbit a spacecraft from an<br />
initial circular orbit can be determined from the following expression<br />
where<br />
<strong>and</strong><br />
V<br />
V<br />
<br />
<br />
1 2r1 2r1 <br />
V Vc 1 V 1<br />
e 2 c <br />
i<br />
2 <br />
r r r<br />
<br />
1 1<br />
cos <br />
e cos<br />
<br />
e <br />
hi req ri<br />
r<br />
radius<br />
ratio<br />
h r r<br />
ce<br />
ci<br />
e eq e<br />
<br />
<br />
r<br />
he req<br />
<br />
<br />
r<br />
hi req<br />
e<br />
i<br />
local circular velocity at entry interface<br />
local circular velocity of initial circular orbit<br />
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