# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

1 Page

### HW04

Course: ASEN 5070, Fall 2008
Rating:

#### Document Preview

problem HW#4 # 2 ^ x = ( H T + WH W ) -1 ( H T Wy + Wx )

Register Now

#### Unformatted Document Excerpt

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
problem HW#4 # 2 ^ x = ( H T + WH W ) -1 ( H T...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

HW#4 problem # 2 ^ x = ( H T WH + W ) -1 ( H T Wy + Wx )
0 337 3804667.985855 -1050.874546927 20 337 3785734.353535 -841.842382370 40 337 3771017.732122 -629.297670376 60 337 3760580.809039 -414.001756791 80 337 3754470.727600 -196.75229
sum HTWH 0 6652.68138911 -4252.90678798 -2044.42590989 -341.340482624 218.244802757 104.870783536 0 0 0
New table containing conventional gravity coefficients generated fromTable D.1 (normalized gravity coefficients)Table D.3 JGM-3 Earth Gravity Field (Conventional Coefficients)lm C S20 -0.108263602
0 0 0 1 0 0 0 0 0 0
H 0 -0.815628974909 0.521493329427 0.250587475051 0 0 0 0 0 0 0 0 0
sum HTWY 0 125498.965928 -80275.8492203 -38530.3176532 18143.3475313 -11600.4151423 -5574.22037065 0 0
0 757700.000000 5222607.000000 4851500.000000 2213.210000 4678.340000 -5371.300000 20 801797.307176 5315038.691050 4743030.867004 2196.361728 4564.494933 -5475.222
xhat (first pass) -0.0355074965116273 -0.27341590598553 -0.179970761622627 0.0409377124301569 0.0327563065901537 -0.0147606324122311 -9310103.07490921 -6.57354368573488e-07 0.1085
sum HTWY 0 6878.1177 -34210.021 -64377.356 0 0 0 0 0 0 0 0
280.613280.61280.607280.603280.598280.593280.587280.581280.574280.566280.559280.55280.542280.533280.524280.515280.506280.497280.488280.48280.471280.463280.456280.449280.442280.436280.43280.425280.421280.417280.414280.41
% % % %Alpha Centauri Specs Tiffany J Finley 12-10-2003 ASEN 5050, Final Projectalphacentauri_ly = 4.35; % 4.35 light years away au = 149597870; % 1AU = 149,597,870 km c_light = 2.99792458e8; % speed of light = 3e8 m/s lightyear = 9.4605284e15; %
Space Situational Awareness Defending Space AssetsMarc Saunders1 University of Colorado, Boulder, Colorado, 80309 A top priority for the United States Air Force is to maintain constant awareness of space based assets at any given time2. Many assets
TLE Info from celestrack.com, Wed 10 December 2003: HST 1 20580U 90037B 03344.18528653 .00001589 00000-0 11545-3 0 8425 2 20580 28.4685 282.6751 0004082 151.4139 339.8088 14.98808002546867 ISS (ZARYA) 1 25544U 98067A 03344.16943444 .00019866 00000-0
210.491210.489210.487210.484210.481210.477210.473210.468210.463210.457210.451210.445210.439210.432210.425210.418210.411210.404210.397210.39210.384210.377210.371210.366210.361210.356210.352210.348210.345210.342210.34210.
This simulation was run with no practice. Note that once again, most the delta V occurs at the last phase of the maneuver when fine tuning needs to be performed. Also, once again, we are hindered by this simulation by relatively large delta Vs when w
Voyager Interstellar MissionNicholee PageASEN 5050: SPACEFLIGHT DYNAMICSUniversity of Colorado at Boulder12/13/01The two Voyager Spacecraft, launched in 1977, are now reaching the end of our solar system. The primary mission of the Voyager spa
This maneuver was a short range maneuver from 10 m away. I made one impulse towards the target and then coasted until we intersected the y-axis. This shows how the orbital dynamics affect even a short maneuver such as this one. When I reached the y-a
ASEN5050SpaceFlightDynamics ResearchPaperSatoshiKogure December14,2000 TheOrbitDynamicsofFormationFlightforthe3CSMission Abstract:The Three Corners Satellites (3CS) Constellation is one of the projects of the University Nanosatellites
Mapping the HIGHways of SpacePosted by: Heather Cohea Graduate Student in Aerospace Engineering University of ColoradoBoulder 12 December, 2001above photo from HST websiteAbstractLibration points are areas of space where the gravitational pull
%function[Total_Delta_V,DeltaV_1,DeltaV_2,Time_of_Flight,Time_of_Flight_days] = Hohmann_Transfer(R1,R2,MU) % %Calculate the Total Delta V required and time of flight of a satellite %going from a circular orbit of radius R1 to a co-planar circular orb
The Near Earth Asteroid Rendezvous MissionResearch, Analysis and Extension ASEN 5050, Spaceflight Dynamics Erin SchenkAbstractThe NEAR (Near Earth Asteroid Rendezvous) Satellite mission is NASA's first mission to go into orbit around an asteroid.
In this case, I learned from practice of the coupled-motion dynamics. I exerted two impulses towards the target and one pulse perpendicular to the target. This put me on a nice slope towards the target. Most of the 0.9 m/s delta V expended in this ma
Orbit Changes Using a Blowdown Hydrazine Propulsion SystemSubmitted December 13, 2001 ASEN 5050 David Waller1.0 AbstractSpacecraft orbits often need to be changed from the injection orbit by a launch vehicle to an operational orbit. Orbit correc
Europa Orbiter MissionAleksandr Arustamyan ASEN 5050 Space Flight Dynamics Research PaperAbstractThe primary objective of this paper was to reduce time of the Europa Orbiter mission. We will first introduce the entire trajectory proposed by NAS
%assumptions: % 1. Circular orbits wrt earth % 2. Orbits are co-planer (in I,J or X,Y plane of ECI coordinates) wrt earth % 3. Orbits around earth in IJK (ECI) % 4. Thrust in RSW, converted to IJK (ECI) wrt sun clc, clear all, close all; %constants:
Table of ContentsAbstract Astrobiology Background Mission IntroductionMission Basis Analysis of MUSES-CSpin-off of Muses-C MissionFigure 1. Graphical View of the ASTROBIOLOGIST-1 mission (*Note not to scale) Figure 2. STK View of Phase 1 of the
function T = TOF(mass, alpha, time_step) % % % % % Inputs: % mass - Mass of the spacecraft in kg. % alpha - Angle of the orientation of the sail with respect to % the radiation in degrees. % time_step - Time interval for the algorithm to step through
ASEN 5070 EXAM No. 1 October 4, 2004 Solution to Problem # 1 I.x (50%) The state vector is given by X = 1 , where x1 and x2 are constants. An x2 * x a priori value X* = 1 is given with it relative accuracy described by the * x2 matrix, W
STATISTICAL ORBIT DETERMINATION The Minimum Variance EstimateASEN 5070 LECTURE 16 10/04/06Colorado Center for Astrodynamics Research The University of Colorado 14.4 THE MINIMUM VARIANCE ESTIMATE The least squares and weighted least squares meth
Linked, Autonomous, Interplanetary Satellite Orbit Navigation (LiAISON)Presentation by Keric Hill For ASEN 5070 Statistical Orbit Determination Fall 20061Why Do We Need Autonomy?New Lunar Missions: Orbiters Rovers Sample Return Comm Sats Space
STATISTICAL ORBIT DETERMINATION Kalman FilteringASEN 5070 LECTURE 21 10/20/06Colorado Center for Astrodynamics Research The University of Colorado 1Numerical Considerations for the Kalman FilterTime and measurement update Of the estimation error
ASEN 5070 HW # 101. Program the Givens square root free algorithm (Eq. 5.4.70). Given the problem of HW # 8 i. e.,\$1/ &quot; 2 0 % \$ y1 % \$3 % \$1 &quot; % \$ x1 % \$!1 % \$ x % \$4% =&amp; '=&amp; + &amp; ' , X = &amp; 1 ' = &amp; ' , P0 = &amp; ' &amp;y ' 2 '&amp; ' 1/ &quot; 2 ' &amp;0 ( 2 ) ( ) (1 1
ASEN 5070 HW # 101. Program the Givens square root free algorithm (Eq. 5.4.70). Given the problem of HW # 8 i. e.,\$1/ &quot; 2 0 % \$ y1 % \$3 % \$1 &quot; % \$ x1 % \$!1 % \$ x % \$4% =&amp; '=&amp; + &amp; ' , X = &amp; 1 ' = &amp; ' , P0 = &amp; ' &amp;y ' 2 '&amp; ' 1/ &quot; 2 ' &amp;0 ( 2 ) ( ) (1 1
ASEN 5070HW #11. Given the following Earth orbiting spacecraft position and velocity vectors in Cartesian coordinates, solve for the Keplerian elements (a, e, i, , , M). See cart2kep.htm.^ ^ R = - 2436.45 i - 2436.45 ^ + 6891.037 k km j^ ^ V =
ASEN 5070HW #11. Given the following Earth orbiting spacecraft position and velocity vectors in Cartesian coordinates, solve for the Keplerian elements (a, e, i, , , M). See cart2kep.htm.^ ^ R = - 2436.45 i - 2436.45 ^ + 6891.037 k km j^ ^ V =
ASEN 5070HW #11 Solutions Guide1. Calculate (18340,0 ) using the equation (t k ,0) = (t k , t k 1 ) (t k 1 , t k 2 ) (t1 ,0) Answer:Phi = Columns 1 through 3 -0.616425535105573 -2.85151637729318 5.017668891695 0.000799901714383846 0.0052583
ASEN 5070HW #11 Solutions Guide1. Calculate (18340,0 ) using the equation (t k ,0) = (t k , t k 1 ) (t k 1 , t k 2 ) (t1 ,0) Answer:Phi = Columns 1 through 3 -0.616425535105573 -2.85151637729318 5.017668891695 0.000799901714383846 0.0052583
ASEN 5070HW #11 Solutions Guide1. Calculate (18340,0 ) using the equation (t k ,0) = (t k , t k 1 ) (t k 1 , t k 2 ) (t1 ,0) Answer:Phi = Columns 1 through 3 -0.616425535105573 -2.85151637729318 5.017668891695 0.000799901714383846 0.0052583
ASEN 5070 Exam No. 1 July 2, 2003 Open Book and Notes 1. (35%) Given that the observations are related to the state by yi = (ti 1) x1 + (ti 2 + 1) x2 + i i = 1, 2 Observations yi are taken at t1=0, t2=1, and y1 is as accurate as y2 . y 2 x The v
Lecture 19: Term Project IntroductionBrandon A. Jones University of Colorado / CCAROD Project The OD project will consist of deriving the theory and algorithms and developing a computer program to establish the trajectory of an Earth-orbiting sat
Example of Kalman Filter Application ASEN 5070 October 18, 2005 George H. Born(Problem 43c of text) Given: x ( t ) 1 1 x1 ( ti ) X ( ti +1 ) = 1 i +1 = x2 ( ti +1 ) 0 1 x2 ( ti ) y1 ( ti ) 0 Y ( ti ) = = y 2 ( ti ) 1 1 2 x1
STATISTICAL ORBIT DETERMINATION Givens Operational Procedure (Example) Kalman Filter with Process Noise (Algorithm) Gauss-Markov Process Examples of SNC and DMCASEN 5070 LECTURE 30 11/13/06Colorado Center for Astrodynamics Research The University
STATISTICAL ORBIT DETERMINATIONASEN 5070 LECTURE 11 9/22/06Colorado Center for Astrodynamics Research The University of Colorado 1Constant of the motion when potential function contains tesseral and sectoral harmonicsColorado Center for Astrody
FORTUNE EIGHTAerospace Industries, Inc.International Technical ServicesMEMORANDUM To: From: CMA Class Chauncey Uphoff 2002 Feb 1Subject: A Word ProblemSir, I send a rhyme excelling In sacred truth and rigid spelling Numerical sprites elucidate
PHIL 3600 Philosophy of Religion Handout 9: The Problem of Evil I. The Leibnizian (or &quot;Best World&quot;) Version of the Problem of Evil&quot;The wisdom of God, not content with embracing all the possibilities, penetrates them, compares them, weighs them one
Fred Feldman Playing God: A Problem for Physician Assisted Suicide? presented at Lafayette College, November 12, 19981. Introductory Comments The 1998 elections were held just about two weeks ago. All across the country, Americans went to the polls
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
PLEASE NOTE: The following selection from the Journal on Telecommunications &amp; High Technology Law is not paginated and should not be used for citation purposes. A paginated version of the selection may be purchased from Journal on Telecommunications
Homework Set # 3 Answers.Physics 1140, Fall 2008For many of the problems, you can solve either using the &quot;master rule&quot; or one of the subrules (for multiplying, dividing, raising to a power) presented in lecture notes. I'll just present one or the
Physics 1140, Summer `07Problem Set 2Due in the brown homework cabinet in the 1140 Lab, Room G2B66, by 5:00pm, Friday, July 201. How many significant figures in the following numbers?(a) 52.000 (b) 0.0009 (c) 5.5 x 103 (d) 7381.0 (e) 0.052.