## A study of the effect of man's motion on the attitude and orbital motion of a satelliteSystems Engineering Group. Research and Technology Division, Air Force Systems Command, 1965 - Science - 137 pages A mathematical model is developed and used for investigating the effects of man's motion on the attitude and orbital motion of an earth satellite. The model is obtained by writing the translational and rotational equations of motion for a rigid-body vehicle containing interconnected moving parts and then reducing these equations to a system consisting of a rigid-body satellite and a 'point mass' man. For the particular portion of the model concerned with the perturbations in the satellite attitude, the equations obtained are found to be independent of the orbit of the vehicle. The solution to the system of equations is primarily restricted to the case determining the disturbance of a given satellite due to an astronaut walking on the surface. It is shown here that the disturbance of the attitude, due to man's motion, is of greater importance than the disturbance due to gravity gradient while the disturbance of the satellite orbit is of the same order of magnitude as that due to the oblateness of the earth. Except for some special cases which contain closed form solutions, the general equations are solved on an analog computer. In all cases studied, the magnitude of the constraint force between the astronaut and the spacecraft is seen to be small. However, the changes in the angular velocity and attitude of the vehicle are shown to be significant. Unlike the attitude of the vehicle, the orbit of the center of mass of the satellite is found not to be seriously affected by man's motion. (Author). |

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### Contents

SECTION PAGE | 1 |

Reference System for Defining the Relative Momentum of a Particle | 4 |

Angular Momentum With Respect to Two Points in Space | 6 |

27 other sections not shown

### Common terms and phrases

_ n _ 9 cos 9 9 sin 9 analog computer angle angular acceleration angular velocity components angular velocity ratio astronaut walking body axes c o x center of mass closed form solution constant Constraint Force Versus cylindrical satellite deg/sec denotes direction cosines due to man's Equation 41 equations of motion Force Versus Displacement front surface ft/sec gives gravity gradient inertial axes initial angular velocity initial values ith body longitudinal axis main vehicle man's motion oblateness obtained orbital equations orbital trajectory path perturbations point mass position vector preceding expressions reduce reference relative angular momentum rigid body rotational equations spherical coordinate system Substituting unit vectors vehicle containing WALKING WALKING Figure x y z XYZ axis system y o z'o yr(l zero