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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 />

page 18

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