General Astronomy (29:61)
Fall 2012
Lecture 31 Notes, November 14, 2012
1
The Earths Magnetic Field
The form of the Earths magnetic eld is called a dipole magnetic eld. This is
the same type of magnetic eld that a bar magnet has. See online plots and
diag

S. Widnall J. Peraire
16.07 Dynamics
Fall 2008
Version 2.0
Lecture L13 Conservative Internal Forces and Potential Energy
The forces internal to a system are of two types. Conservative forces, such as gravity; and dissipative forces
such as friction. Inter

J. Peraire S. Widnall
16.07 Dynamics
Fall 2009
Version 2.0
Lecture L9 Linear Impulse and Momentum. Collisions
In this lecture, we will consider the equations that result from integrating Newtons second law,
= ma,
in time. This will lead to the principle o

APPROACH
Orbitswillbeusedastheindependentvariableforourthreesubsystemsandtotalmassandpowerwillbe
used as the analysis metric. This analysis assumes thattheearthreturnvehicleisalreadypresent onMars.
Therefore, this transportation vehicle will only address

16.100 Homework Assignment # 3
Due: Monday, September 26th, 9am
Problem 1 (70%)
Useful reading: Anderson: Section 3.14, 3.16, 4.5, 4.10
2
1
V
X
0.12c X
X
c
3
nodes where vortices
are located
X control points where
v v
u n = 0 is enforced
Consider the isos

S. Widnall J. Peraire
16.07 Dynamics
Fall 2009
Version 2.0
Lecture L6 Intrinsic Coordinates
In lecture L4, we introduced the position, velocity and acceleration vectors and referred them to a xed
cartesian coordinate system . Then we showed how they could

16.100 Homework Assignment # 3
Due: Monday, September 26th, 9am
Problem 1 (70%)
Useful reading: Anderson: Section 3.14, 3.16, 4.5, 4.10
2
1
V
X
0.12c X
X
c
3
nodes where vortices
are located
X control points where
v v
u n = 0 is enforced
Consider the isos

5. Use values of environmental disturbances and values of mission objectives to
determine size and weight of actuators.
Solution:
A. Derivations
There are many factors that must be analyzed when sizing an attitude control system.
External torques due to s

Inertial Instruments and Inertial Navigation
Gimbals
Gimbals are essentially hinges that allow freedom of rotation about one axis.
Gimbals often have superb bearings and motors to help achieve virtually
frictionless behavior. Sensors in the bearings provi

Auroras: plasmas from deep space
A dipole magne3c eld
Earths magne3c eld
The Earths magnetosphere
Van Allen Probe spacecra=
The Planets
Part 1: the terrestrial planets
Mercury and Venus in the
night sky
Mercury

J. Peraire S. Widnall
16.07 Dynamics
Fall 2008
Version 2.0
Lecture L27 3D Rigid Body Dynamics: Kinetic Energy;
Instability; Equations of Motion
3D Rigid Body Dynamics
In Lecture 25 and 26, we laid the foundation for our study of the three-dimensional dyna