Term
Key advantages of minimizing J 

Definition
Key advantages: you do not need all eigenvalues/eigenvectors, only need the maximum eigenvalue and its eigenvector, easy and fast methods for finding that eigen pair. 


Term
What are the axes of rotation? What does energy dissipation do to the axes? 

Definition
Major axis (x) stable, intermediate axis (y) unstable, minor axis (z) stable. Makes the minor axis unstable. 


Term

Definition
The reason for the failure of this satellite was it spun about its minor axis. 


Term
What is G2 stabilization? 

Definition
This method is a way of stabilizing a satellite’s orbit by using only the satellite’s mass distribution and the Earth’s gravitational field. 


Term
Is G2 stabilization accurate? Why or why not. 

Definition
This stabilization method is not accurate because spacecraft can flip over, and needs extra payload mass due to the “boom” mass. 


Term
Is the moon G2 stabilized? 

Definition


Term
What is dualspin stabilization? 

Definition
stabilization method of having the spacecraft contain two parts: one that spins relatively fast, and the other spins slow or not at all. It allows satellites to spin stably about its minor axis. 


Term
The name of the first satellite to be dualspin stabilized. 

Definition


Term
What happened to Polar BEAR? 

Definition
It inverted its stabilization because of solar heating on the boom mass. 


Term
What was the first spinstabilized satellite? 

Definition


Term
What is 3 axis stabilization? 

Definition
Threeaxis stabilization is a method of keeping all 3 axes pointed in specific directions. 


Term
What is magnetic stabilization? 

Definition
Magnetic Stabilization is a method of creating a torque due to the movement through the Earth’s magnetic field to increase or decrease the spin of a satellite. 


Term
In particle model analysis, what motion(s) is/are of interest? 

Definition


Term
In rigid body analysis, what motion(s) is/are of interest? 

Definition
translational and rotational 


Term
Inertia matrices are always... 

Definition


Term
All eigenvalues of real symmetric matrices are ____ and all eigenvectors of real symmetric matrices are _____. 

Definition
real;real and mutually orthogonal 


Term
What is the significance of inertia matrices being diagonal? 

Definition
the axes in which it is expressed are principal axes. 


Term
(T/F) If a rigid body has 3 axes of symmetry, then those are the principal axes. 

Definition


Term
(T/F) A rigid body's principal axes are always its axes of symmetry. 

Definition


Term
Normalizing eigenvectors makes them... 

Definition


Term
What is the Change of Basis Theorem? 

Definition
It can be used to verify that for principal axes the inertia matrix is diagonal. 


Term
(T/F) Angular momentum and energy are constant for asymmetric torque free rigid body. 

Definition


Term
(T/F) Longest axis corresponds to SMALLEST PMOI (principal moment of inertia). 

Definition


Term
What do the directions of the orbital frame correspond to? 

Definition
o3 axis is nadir direction, o2 axis is negative orbit normal direction, o1 axis completes frame. 


Term
The motion of the satellite’s center of mass motion around Earth’s center applies to... 

Definition
Translational equation (Newton's Equation). 


Term
satellite’s rotation around satellite’s center of mass applies to... 

Definition
Rotational equation (Euler's equation). 


Term
What is required for G2 stabilization? 

Definition
A body fixed ref. frame, and a long boom. 


Term
Why are the equilibrium solutions for Euler's equations hard to solve? 

Definition
angular velocity is of the body frame with respect to the inertia frame, o3 is a column vector made by projecting o3hat onto body axes, and these equations are nonlinear. 


Term
(T/F) You need small angle assumptions to find equilibrium solutions. 

Definition


Term
(T/F) You do not need small angle assumptions to find equilibrium solutions. 

Definition


Term
You do not need all eigenvalues/eigenvectors, only need the maximum eigenvalue and its eigenvector, easy and fast methods for finding that eigen pair are key advantages of what? 

Definition


Term
Minor axis becoming unstable is due to... 

Definition


Term
This satellite failed due to spinning about its minor axis. 

Definition


Term
This stabilization method is a way of stabilizing a satellite’s orbit by using only the satellite’s mass distribution and the Earth’s gravitational field. 

Definition


Term
This stabilization method is not accurate because spacecraft can flip over, and needs extra payload mass due to the “boom” mass. 

Definition


Term
This stabilization method has the spacecraft contain two parts: one that spins relatively fast, and the other spins slow or not at all. It allows satellites to spin stably about its minor axis. 

Definition


Term
What is the significance of TACSAT I? 

Definition
The first satellite to be dualspin stabilized. 


Term
What is the name of the satellite that inverted its stabilization because of solar heating on the boom mass? 

Definition


Term
What is the significance of Syncom 3? 

Definition
It was the first spinstabilized satellite. 


Term
What is the name of the stabilization method of keeping all 3 axes pointed in specific directions? 

Definition


Term
What is the name of the stabilization method of creating a torque due to the movement through the Earth’s magnetic field to increase or decrease the spin of a satellite. 

Definition


Term
(T/F) If a rigid body has 3 axes of symmetry, then those are NOT the principal axes. 

Definition


Term
(T/F) A rigid body's principal axes are NOT always its axes of symmetry. 

Definition


Term
How do you create orthonormal eigenvectors? 

Definition


Term
(T/F) Angular momentum and energy are NOT constant for asymmetric torque free rigid body. 

Definition


Term
(T/F) Longest axis corresponds to LARGEST PMOI (principal moment of inertia). 

Definition

