Astronomy 275 Lecture Notes, Spring 2015
c
Edward L. Wright, 2015
Cosmology has long been a fairly speculative eld of study, short on data and long on
theory. This has inspired some interesting aphorisms:
Cosmologist are often in error but never in doubt

APPROACH
The following block diagram depicts the inputs and outputs of our model:
Position (t)
Compute Magnetic
Field Intensity
Magnetic Field (t)
Compute Electron
and Proton Radiation
Rate of Electron and Proton Fluence
Compute Solar Cell
Degradation
Com

1. Choose their desired combination of power requirements and orbital elements.
To achieve this requirement, the user must input the following information:
Pe Power needed during eclipse
Pd Power needed during daylight
Orbit altitude
Orbit inclination
Mis

Solution:
I. Requirements Specifications:
Given specific payload constraints (Table 1), output the launch vehicles that satisfy
those requirements and optimize them according to user flagged options. Any
combination of constraints can be applied to the se

1. (9 points) What is the maximum acceleration which can be given to the cart
without tipping over the container with dimensions h and b? Assume that friction
is large enough to prevent any slipping.
b
g
h
a
2. (9 points) A pendulum consists of a massless

- The cost of the energy storage and power generation systems in millions of dollars.
- The time history of the state of charge of the energy storage system, in Joules.
- The time indices at which the energy storage capacity was insufficient to meet
deman

S Widnall
16 07 Dynamics
Fall 2009
Lecture notes based on J Peraire Version 2 0
Lecture L3 - Vectors Matrices and Coordinate Transformations
By using vectors and dening appropriate operations between them, physical laws can often be written in
a simple fo

S. Widnall, J. Peraire
16.07 Dynamics
Fall 2008
Version 2.0
Lecture L12 Work and Energy
So far we have used Newtons second law
= ma to establish the instantaneous relation between
the sum of the forces acting on a particle and the acceleration of that par

Given the following flow paths and temperatures:
Twall = 80o C
Twall = 50o C
Which of these is most likely true:
DT
(1)
=0
Dt
DT
(2)
0
Dt
darmofal:
darmofal:
11
Given the following flow paths and temperatures:
Twall = 50o C
Twall = 80o C
Twall = 50o C
Twa

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

S Widnall
16 07 Dynamics
Fall 2009
Version 1 0
Lecture L19 - Vibration Normal Modes Natural Frequencies
Instability
Vibration Instability
An important class of problems in dynamics concerns the free vibrations of systems. (The concept of free
vibrations i

16.100 Homework Assignment # 4
Due: Monday, October 3 at 9am
Reading Assignment
Handout Thin Airfoil Theory Summary
Anderson, 3rd edition: Chapter 4 Section 4.1 4.9
Note: I did not give a targeted reading assignment for the problems, because essentially a

23.
Gravitational Lensing
Gravitational lensing is the bending of light by massive bodies along the line of sight.
In the Newtonian bullet model for light, the deection of a ray passing a mass M with
impact parameter b is given by = a dt/v = c1 [GMb/(c2 t