Trajectory Design For A Visible Geosynchronous Earth Imager
|
|
|
- Opal Ford
- 6 years ago
- Views:
Transcription
1 Trajectr Design Fr A Visible Gesnchrnus Earth Imager Edmund M. C. Kng SSL Graduate Research Assistant Prf David W. Miller Directr, MIT Space Sstems Lab Dr. Ramnd J. Sedwick Pstdctral Assciate, MIT Space Sstems Lab AIAA Space Technlg Cnference & Expsitin Albuquerque, New Mexic 3 September, 999
2 Intrductin Objective : T cmpare the different imaging cnfiguratins fr a Separated Spacecraft Interfermeter perating frm an Earth s rbit Outline : Interfermetric requirements & Orbit Selectin Equatins f Mtins (Hill s Equatins Steered Planar Arra Prpellant Free Arra: Cllectr S/C Results Summar Space Sstems Labratr
3 Interfermetric Requirements & Orbit Selectin Interfermetric Requirements: Reqt. Equal science light pathlength fr visible imaging Reqt. Axi-smmetric angular reslutin abut LOS x Far-field assumptin Arra sees planar wavefrnts frm targets Orbit Selectin: Gesnchrnus Higher altitude, lwer perturbative effects (eg. J Space Sstems Labratr
4 Equatins f Mtins Assumptin : First rder perturbatin abut natural circular Keplerian rbit Hill s Equatins : a a a x && x 3n && + nx& && + n x n& Ttal Spacecraft Velcit Increment : (enith-nadir x (velcit vectr (crss-range N V T life ax + a + a Example : V required t hld a spacecraft statinar at (x,, dt S Spacecraft instantaneus acceleratin : V required : a x 3n x a a n V n T life 9x + Space Sstems Labratr
5 DSS Architecture Cnstraint cllectr spacecraft t a lcal hrintal circular trajectr with cmbiner spacecraft at the center (Reqts. & V Requirement N V fr statinar cmbiner spacecraft at (,, V fr cllectr spacecraft x cs φ sin φ cs ψ sin φ sin ψ sin φ sin ψ cs ψ Hill x φ x' LOS ψ x, a x ± R sin R cs ( nt + α ( nt + α b ' c, ' Average cllectr s/c V at GEO altitude : V / n R T.55 life Space Sstems Labratr
6 DSS Architecture Cnstraint the prjectin f the cllectr spacecraft s trajectr t circular (Reqt. Prpellant free trajectries - (Prject x ellipse in velcit plane x Cllectr ± ( R cs nt m R nt sin R cs nt Var R : (-, Zenith (x/r Crss Axis (/R.5.5 R R -.5 Velcit Vectr (/R Intersectin between a plane and a circular parablid results in an ellipse Placed cmbiner spacecraft placed at fcus fr equal pathlength (Reqt. fr R R x Fcus ( 6R 3p ( 6 p ± p 4 ψ (degrees R 5 (R -R [R -.87R ] R -R R (R - - (R (R R LEO (R R [R.87R ] GEO R R φ (degrees Space Sstems Labratr
7 DSS Architecture (cnt. A famil f parablids can fit nt the free elliptical trajectries Lcus f fci maps ut a hperbla fr R R x R ± 4 3 Hperbla (Fci V/n R T lif e x/r (Zenith Nadir Circular Parablid Optimal Fcus (p/r.76 Ellipse Prjected Circle /R /R (velcit vectr (Crss axis (.76, p/r Optimum fcus : p. 76R V.564nR T life V requirement: N V required fr cllectr spacecraft Onl need V t hld cmbiner spacecraft at parablid s fcus Space Sstems Labratr
8 Steering with ptical dela lines Optical Dela Lines Cllectr s/c fllw R R elliptical trajectr frm Architecture Dela lines t image ff-nadir targets (Reqt. Cllectr-Cmbiner s/c distance: (cs nt D cs R + Pn nt Pn P P n n Cllectr s/c trajectr in prpagatin vectr s (x frame: x csψ sinψ sinψ csψ csφ sinφ x sinφ sinφ Hill.6 x " Elliptical Trajectr Imaginar Parablid ψ (degrees 9 LEO.3 Zenith (x/r -.3 D Cmbiner (Fcus d target x " Dela/R D - D φ, ψ Crss Range (/R D 8 8 At GEO 9 φ (degrees 9 GEO 3 4 Dela/R Maximum dela length frm GEO (x,d.3r Minimum semi-minr axis prjectin (,.94R 8 Space Sstems Labratr
9 Missin Parameters Cmpnents Steered Planar ODL Cmbiner S/C 8. kg 8. kg Cmbiner Prpellant - V/(n R T life.56 Cllectr S/C 87. kg 87. kg Cllectr Dela Lines -.34R Cllectr Prpellant V/(n R T life.55 - Spacecraft Mass estimates frm initial Deep Space 3 (DS3 design T life 5 ears R 5 m (DS3 - m baseline Place ODL n Cllectr S/C Ease f peratin Lwer verall dr mass and therefre, lwer sstem mass Fr each spacecraft Determine V Prpellant mass frm Rcket equatin m m p d V exp I spg m p - Prpellant Mass (kg m d - Spacecraft Dr Mass (kg I sp - Specific impulse (sec g - Earth s gravit (9.8 m/sec Space Sstems Labratr
10 General Observatins Relativel insensitive t the number f cllectr s/c (> 4 cllectr Trading between prpellant and ODL mass R 5 m Break even pint I sp 5 s (DLC. kg/m Arch : m cmb 8., m cll 4. Arch : m cmb.4, m cll 4. R 5 m Break even pint I sp s (DLC. kg/m Arch : m cmb 8., m cll 89.7 Arch : m cmb 84., m cll 88.8 Impact f ODL Dela Length Cnversin (kg/m DLC mcll (exp( V / Ispg.34R R 5 m R 5 m Specific Impulse (secs Space Sstems Labratr
11 Interfermetric Requirements x Summar ( Equatins f Mtins Hill s Equatins V Calculatin DSS Architecture V fr cllectr spacecraft nl Space Sstems Labratr
12 DSS Architecture Summar ( Free V trajectries fr cllectr spacecraft Minimum V cmbiner spacecraft lcatin Explitatin f cnic sectins ψ (degrees R (R -R [R -.87R ] R -R R - (R (R (R R (R - R LEO x/r (Zenith Nadir Hperbla (Fci Circular Parablid Optimal Fcus (p/r.76 Ellipse Optical Dela Lines Dela lines t steer arra s LOS.6 5 [R.87R ] GEO R R φ (degrees Prjected Circle /R (Crss axis /R (velcit vectr x " D Elliptical Trajectr Imaginar Parablid Results Dela Length vs Specific Impulse crss.4 ver pint R 5 m.35 R 5 m Zenith (x/r -.3 Cmbiner (Fcus d target x " Dela/R D - D φ, ψ Crss Range (/R D Dela Length Cnversin (kg/m Specific Impulse (secs Space Sstems Labratr
Minimum Energy Trajectories for Techsat 21 Earth Orbiting Clusters
Minimum Energy Trajectories for Techsat 1 Earth Orbiting Clusters Edmund M. C. Kong SSL Graduate Research Assistant Prof David W. Miller Director, MIT Space Systems Lab Space 1 Conference & Exposition
ENGI 4430 Parametric Vector Functions Page 2-01
ENGI 4430 Parametric Vectr Functins Page -01. Parametric Vectr Functins (cntinued) Any nn-zer vectr r can be decmpsed int its magnitude r and its directin: r rrˆ, where r r 0 Tangent Vectr: dx dy dz dr
i-clicker i-clicker Newton s Laws of Motion First Exam Coming Up! Components of Equation of Motion
First Eam Cming Up! Sunda, 1 Octber 6:10 7:30 PM. Lcatins t be psted nline. Yes this is a Sunda! There will be 17 questins n eam. If u have a legitimate cnflict, u must ask Prf. Shapir b Oct. 8 fr permissin
ASTRODYNAMICS. o o o. Early Space Exploration. Kepler's Laws. Nicolaus Copernicus ( ) Placed Sun at center of solar system
ASTRODYNAMICS Early Space Explratin Niclaus Cpernicus (1473-1543) Placed Sun at center f slar system Shwed Earth rtates n its axis nce a day Thught planets rbit in unifrm circles (wrng!) Jhannes Kepler
and the Doppler frequency rate f R , can be related to the coefficients of this polynomial. The relationships are:
Algrithm fr Estimating R and R - (David Sandwell, SIO, August 4, 2006) Azimith cmpressin invlves the alignment f successive eches t be fcused n a pint target Let s be the slw time alng the satellite track
Chapter 3 Kinematics in Two Dimensions; Vectors
Chapter 3 Kinematics in Tw Dimensins; Vectrs Vectrs and Scalars Additin f Vectrs Graphical Methds (One and Tw- Dimensin) Multiplicatin f a Vectr b a Scalar Subtractin f Vectrs Graphical Methds Adding Vectrs
Figure 1a. A planar mechanism.
ME 5 - Machine Design I Fall Semester 0 Name f Student Lab Sectin Number EXAM. OPEN BOOK AND CLOSED NOTES. Mnday, September rd, 0 Write n ne side nly f the paper prvided fr yur slutins. Where necessary,
Phy 213: General Physics III 6/14/2007 Chapter 28 Worksheet 1
Ph 13: General Phsics III 6/14/007 Chapter 8 Wrksheet 1 Magnetic Fields & Frce 1. A pint charge, q= 510 C and m=110-3 m kg, travels with a velcit f: v = 30 ˆ s i then enters a magnetic field: = 110 T ˆj.
Coupling High Fidelity Body Modeling with Non- Keplerian Dynamics to Design AIM-MASCOT-2 Landing Trajectories on Didymos Binary Asteroid
6 th Internatinal Cnference n Astrdynamics Tls and Techniques (ICATT) Darmstadt 14 17 March 2016 Cupling High Fidelity Bdy Mdeling with Nn- Keplerian Dynamics t Design AIM-MASCOT-2 Landing Trajectries
( ) ( ) Pre-Calculus Team Florida Regional Competition March Pre-Calculus Team Florida Regional Competition March α = for 0 < α <, and
Flrida Reginal Cmpetitin March 08 Given: sin ( ) sin π α = fr 0 < α
Introduction: A Generalized approach for computing the trajectories associated with the Newtonian N Body Problem
A Generalized apprach fr cmputing the trajectries assciated with the Newtnian N Bdy Prblem AbuBar Mehmd, Syed Umer Abbas Shah and Ghulam Shabbir Faculty f Engineering Sciences, GIK Institute f Engineering
Sections 15.1 to 15.12, 16.1 and 16.2 of the textbook (Robbins-Miller) cover the materials required for this topic.
Tpic : AC Fundamentals, Sinusidal Wavefrm, and Phasrs Sectins 5. t 5., 6. and 6. f the textbk (Rbbins-Miller) cver the materials required fr this tpic.. Wavefrms in electrical systems are current r vltage
205MPa and a modulus of elasticity E 207 GPa. The critical load 75kN. Gravity is vertically downward and the weight of link 3 is W3
ME 5 - Machine Design I Fall Semester 06 Name f Student: Lab Sectin Number: Final Exam. Open bk clsed ntes. Friday, December 6th, 06 ur name lab sectin number must be included in the spaces prvided at
Kinetics of Particles. Chapter 3
Kinetics f Particles Chapter 3 1 Kinetics f Particles It is the study f the relatins existing between the frces acting n bdy, the mass f the bdy, and the mtin f the bdy. It is the study f the relatin between
Yeu-Sheng Paul Shiue, Ph.D 薛宇盛 Professor and Chair Mechanical Engineering Department Christian Brothers University 650 East Parkway South Memphis, TN
Yeu-Sheng Paul Shiue, Ph.D 薛宇盛 Prfessr and Chair Mechanical Engineering Department Christian Brthers University 650 East Parkway Suth Memphis, TN 38104 Office: (901) 321-3424 Rm: N-110 Fax : (901) 321-3402
Equilibrium of Stress
Equilibrium f Stress Cnsider tw perpendicular planes passing thrugh a pint p. The stress cmpnents acting n these planes are as shwn in ig. 3.4.1a. These stresses are usuall shwn tgether acting n a small
1 Course Notes in Introductory Physics Jeffrey Seguritan
Intrductin & Kinematics I Intrductin Quickie Cncepts Units SI is standard system f units used t measure physical quantities. Base units that we use: meter (m) is standard unit f length kilgram (kg) is
SPH3U1 Lesson 06 Kinematics
PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.
AP Physics Laboratory #4.1: Projectile Launcher
AP Physics Labratry #4.1: Prjectile Launcher Name: Date: Lab Partners: EQUIPMENT NEEDED PASCO Prjectile Launcher, Timer, Phtgates, Time f Flight Accessry PURPOSE The purpse f this Labratry is t use the
AP Physics Kinematic Wrap Up
AP Physics Kinematic Wrap Up S what d yu need t knw abut this mtin in tw-dimensin stuff t get a gd scre n the ld AP Physics Test? First ff, here are the equatins that yu ll have t wrk with: v v at x x
Math 302 Learning Objectives
Multivariable Calculus (Part I) 13.1 Vectrs in Three-Dimensinal Space Math 302 Learning Objectives Plt pints in three-dimensinal space. Find the distance between tw pints in three-dimensinal space. Write
Conceptual Dynamics SDC. An Interactive Text and Workbook. Kirstie Plantenberg Richard Hill. Better Textbooks. Lower Prices.
Cnceptual Dynamics An Interactive Text and Wrkbk Kirstie Plantenberg Richard Hill SDC P U B L I C AT I O N S Better Textbks. Lwer Prices. www.sdcpublicatins.cm Pwered by TCPDF (www.tcpdf.rg) Visit the
Q x = cos 1 30 = 53.1 South
Crdinatr: Dr. G. Khattak Thursday, August 0, 01 Page 1 Q1. A particle mves in ne dimensin such that its psitin x(t) as a functin f time t is given by x(t) =.0 + 7 t t, where t is in secnds and x(t) is
Rigid Body Dynamics (continued)
Last time: Rigid dy Dynamics (cntinued) Discussin f pint mass, rigid bdy as useful abstractins f reality Many-particle apprach t rigid bdy mdeling: Newtn s Secnd Law, Euler s Law Cntinuus bdy apprach t
Chapter 5: Force and Motion I-a
Chapter 5: rce and Mtin I-a rce is the interactin between bjects is a vectr causes acceleratin Net frce: vectr sum f all the frces n an bject. v v N v v v v v ttal net = i = + + 3 + 4 i= Envirnment respnse
Forward-Integration Riccati-Based Feedback Control for Spacecraft Rendezvous Maneuvers on Elliptic Orbits
5st IEEE Cnference n Decisin and Cntrl December -3,. Maui, Hawaii, USA Frward-Integratin Riccati-Based Feedback Cntrl fr Spacecraft Rendezvus Maneuvers n Elliptic Avishai Weiss, Ilya Klmanvsky, Mrgan Baldwin,
Chapter 9 Vector Differential Calculus, Grad, Div, Curl
Chapter 9 Vectr Differential Calculus, Grad, Div, Curl 9.1 Vectrs in 2-Space and 3-Space 9.2 Inner Prduct (Dt Prduct) 9.3 Vectr Prduct (Crss Prduct, Outer Prduct) 9.4 Vectr and Scalar Functins and Fields
Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1
Physics 1 Lecture 1 Tday's Cncept: Magnetic Frce n mving charges F qv Physics 1 Lecture 1, Slide 1 Music Wh is the Artist? A) The Meters ) The Neville rthers C) Trmbne Shrty D) Michael Franti E) Radiatrs
Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
Phys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1
Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity
Flipping Physics Lecture Notes: Simple Harmonic Motion Introduction via a Horizontal Mass-Spring System
Flipping Physics Lecture Ntes: Simple Harmnic Mtin Intrductin via a Hrizntal Mass-Spring System A Hrizntal Mass-Spring System is where a mass is attached t a spring, riented hrizntally, and then placed
Aircraft Performance - Drag
Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce
Chapter 3. Mathematical analysis of the ordinary reflectance scanning microscope. 3.1 The ordinary reflectance scanning microscope
Mathematical analsis f the rdinar reflectance scanning micrscpe Chapter 3 Mathematical analsis f the rdinar reflectance scanning micrscpe In this chapter the mathematical framewrk fr mdelling the reflectance
Example 1. A robot has a mass of 60 kg. How much does that robot weigh sitting on the earth at sea level? Given: m. Find: Relationships: W
Eample 1 rbt has a mass f 60 kg. Hw much des that rbt weigh sitting n the earth at sea level? Given: m Rbt = 60 kg ind: Rbt Relatinships: Slutin: Rbt =589 N = mg, g = 9.81 m/s Rbt = mrbt g = 60 9. 81 =
M thematics. National 5 Practice Paper B. Paper 1. Duration 1 hour. Total marks 40
M thematics Natinal 5 Practice Paper B Paper 1 Duratin 1 hur Ttal marks 40 Yu may NOT use a calculatr Attempt all the questins. Use blue r black ink. Full credit will nly be given t slutins which cntain
39th International Physics Olympiad - Hanoi - Vietnam Theoretical Problem No. 1 /Solution. Solution
39th Internatinal Physics Olympiad - Hani - Vietnam - 8 Theretical Prblem N. /Slutin Slutin. The structure f the mrtar.. Calculating the distance TG The vlume f water in the bucket is V = = 3 3 3 cm m.
Physics 2010 Motion with Constant Acceleration Experiment 1
. Physics 00 Mtin with Cnstant Acceleratin Experiment In this lab, we will study the mtin f a glider as it accelerates dwnhill n a tilted air track. The glider is supprted ver the air track by a cushin
SAFE HANDS & IIT-ian's PACE EDT-04 (JEE) Solutions
ED- (JEE) Slutins Answer : Optin () ass f the remved part will be / I Answer : Optin () r L m (u csθ) (H) Answer : Optin () P 5 rad/s ms - because f translatin ωr ms - because f rtatin Cnsider a thin shell
Computational modeling techniques
Cmputatinal mdeling techniques Lecture 4: Mdel checing fr ODE mdels In Petre Department f IT, Åb Aademi http://www.users.ab.fi/ipetre/cmpmd/ Cntent Stichimetric matrix Calculating the mass cnservatin relatins
MUMBAI / AKOLA / DELHI / KOLKATA / LUCKNOW / NASHIK / GOA / BOKARO / PUNE / NAGPUR IIT JEE: 2020 OLYMPIAD TEST DATE: 17/08/18 PHYSICS SOLUTION ...
MUMBAI / AKOLA / DELHI / KOLKATA / LUCKNOW / NASHIK / GOA / BOKARO / PUNE / NAGPUR IIT JEE: OLYMPIAD TEST DATE: 7/8/8 PHYSICS SOLUTION. (C) Averae acceleratin, vf vi tan tan a t. (B) ds Resistance kv Eqatins
Subject: KINEMATICS OF MACHINES Topic: VELOCITY AND ACCELERATION Session I
Subject: KINEMTIS OF MHINES Tpic: VELOITY ND ELERTION Sessin I Intrductin Kinematics deals with study f relative mtin between the varius parts f the machines. Kinematics des nt invlve study f frces. Thus
1.2.1 Vectors. 1 P age. Examples What is the reference vector angle for a vector that points 50 degrees east of south?
1.2.1 Vectrs Definitins Vectrs are represented n paper by arrws directin = magnitude = Examples f vectrs: Examples What is the reference vectr angle fr a vectr that pints 50 degrees east f suth? What is
Honors Physics Final Review Summary
Hnrs Physics Final Review Summary Wrk Dne By A Cnstant Frce: Wrk describes a frce s tendency t change the speed f an bject. Wrk is dne nly when an bject mves in respnse t a frce, and a cmpnent f the frce
DESIGN OPTIMIZATION OF HIGH-LIFT CONFIGURATIONS USING A VISCOUS ADJOINT-BASED METHOD
DESIGN OPTIMIZATION OF HIGH-LIFT CONFIGURATIONS USING A VISCOUS ADJOINT-BASED METHOD Sangh Kim Stanfrd University Juan J. Alns Stanfrd University Antny Jamesn Stanfrd University 40th AIAA Aerspace Sciences
1 The limitations of Hartree Fock approximation
Chapter: Pst-Hartree Fck Methds - I The limitatins f Hartree Fck apprximatin The n electrn single determinant Hartree Fck wave functin is the variatinal best amng all pssible n electrn single determinants
( ) + θ θ. ω rotation rate. θ g geographic latitude - - θ geocentric latitude - - Reference Earth Model - WGS84 (Copyright 2002, David T.
1 Reference Earth Mdel - WGS84 (Cpyright, David T. Sandwell) ω spherid c θ θ g a parameter descriptin frmula value/unit GM e (WGS84) 3.9864418 x 1 14 m 3 s M e mass f earth - 5.98 x 1 4 kg G gravitatinal
ECE 2100 Circuit Analysis
ECE 2100 Circuit Analysis Lessn 25 Chapter 9 & App B: Passive circuit elements in the phasr representatin Daniel M. Litynski, Ph.D. http://hmepages.wmich.edu/~dlitynsk/ ECE 2100 Circuit Analysis Lessn
s of the two electrons are strongly coupled together to give a l couple together to give a resultant APPENDIX I
APPENDIX I Cupling Schemes and Ntatin An extensive treatment f cupling schemes and ntatin is given by White r Kuhn. A brief review is given here t allw ne t read this manual with sme insight. The mtins
Compressibility Effects
Definitin f Cmpressibility All real substances are cmpressible t sme greater r lesser extent; that is, when yu squeeze r press n them, their density will change The amunt by which a substance can be cmpressed
WYSE Academic Challenge Sectional Physics 2007 Solution Set
WYSE caemic Challenge Sectinal Physics 7 Slutin Set. Crrect answer: E. Energy has imensins f frce times istance. Since respnse e. has imensins f frce ivie by istance, it clearly es nt represent energy.
Determination of Static Orientation Using IMU Data Revision 1
Determinatin f Static Orientatin Usin IMU Data Revisin 1 Determinatin f Static Orientatin frm IMU Accelermeter and Manetmeter Data Intrductin An imprtant applicatin f inertial data is the rientatin determinatin
Chapter 4. Unsteady State Conduction
Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause
f = µ mg = kg 9.8m/s = 15.7N. Since this is more than the applied
Phsics 141H lutins r Hmewrk et #5 Chapter 5: Multiple chice: 8) (a) he maimum rce eerted b static rictin is µ N. ince the blck is resting n a level surace, N = mg. the maimum rictinal rce is ( ) ( ) (
The Kullback-Leibler Kernel as a Framework for Discriminant and Localized Representations for Visual Recognition
The Kullback-Leibler Kernel as a Framewrk fr Discriminant and Lcalized Representatins fr Visual Recgnitin Nun Vascncels Purdy H Pedr Mren ECE Department University f Califrnia, San Dieg HP Labs Cambridge
UGANDA ADVANCED CERTIFICATE OF EDUCATION INTERNAL MOCK 2016 PURE MATHEMATICS. 3 hours
P/ PURE MATHEMATICS PAPER JULY 0 HOURS UGANDA ADVANCED CERTIFICATE OF EDUCATION INTERNAL MOCK 0 PURE MATHEMATICS hurs INSTRUCTIONS TO CANDIDATES: Attempt ALL the EIGHT questins in sectin A and any FIVE
14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?
Physics 0 Public Exam Questins Unit 1: Circular Mtin NAME: August 009---------------------------------------------------------------------------------------------------------------------- 1. Which describes
14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?
Physics 3204 Public Exam Questins Unit 1: Circular Mtin NAME: August 2009---------------------------------------------------------------------------------------------------------------------- 12. Which
LYAPUNOV-BASED ELLIPTICAL TO CIRCULAR PLANAR ORBIT TRANSFERS IN LEVI-CIVITA COORDINATES
(Preprint) AAS 2-66 LYAPUNOV-BASED ELLIPTICAL TO CIRCULAR PLANAR ORBIT TRANSFERS IN LEVI-CIVITA COORDINATES Sonia Hernandez, Maruthi R. Akella, and Cesar A. Ocampo INTRODUCTION We consider planar orbit
Comparison of hybrid ensemble-4dvar with EnKF and 4DVar for regional-scale data assimilation
Cmparisn f hybrid ensemble-4dvar with EnKF and 4DVar fr reginal-scale data assimilatin Jn Pterjy and Fuqing Zhang Department f Meterlgy The Pennsylvania State University Wednesday 18 th December, 2013
Support-Vector Machines
Supprt-Vectr Machines Intrductin Supprt vectr machine is a linear machine with sme very nice prperties. Haykin chapter 6. See Alpaydin chapter 13 fr similar cntent. Nte: Part f this lecture drew material
PPT Project -Group B7-
PPT Prject -Grup B7- Dylan Carter Michael Cunningham Chrissy Deren Nick Zarb Pwer, Prpulsin, Thermal Design Prject Overview Thermal Systems Capsule Temperatures withut thermal cntrl Attributes f thermal
NUMBERS, MATHEMATICS AND EQUATIONS
AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t
Applying Kirchoff s law on the primary circuit. V = - e1 V+ e1 = 0 V.D. e.m.f. From the secondary circuit e2 = v2. K e. Equivalent circuit :
TRANSFORMERS Definitin : Transfrmers can be defined as a static electric machine which cnverts electric energy frm ne ptential t anther at the same frequency. It can als be defined as cnsists f tw electric
CHAPTER 6 WORK AND ENERGY
CHAPTER 6 WORK AND ENERGY CONCEPTUAL QUESTIONS 16. REASONING AND SOLUTION A trapeze artist, starting rm rest, swings dwnward n the bar, lets g at the bttm the swing, and alls reely t the net. An assistant,
Titelmaster. Geometrical and Kinematical Precise Orbit Determination of GOCE
Titelmaster Gemetrical and Kinematical Precise Orbit Determinatin f GOCE Akbar Shabanlui Institute f Gedesy and Geinfrmatin, University f Bnn 7th Octber 2010 Clgne, Germany Outline Precise Orbit Determinatin
PRECISION MEASUREMENT OF THE ONE-WAY SPEED OF LIGHT AND IMPLICATIONS TO THE THEORY OF MOTION AND RELATIVITY
PRECISION MEASUREMENT OF THE ONE-WAY SPEED OF LIGHT AND IMPLICATIONS TO THE THEORY OF MOTION AND RELATIVITY C. S. Unnikrishnan Gravitatin Grup/FI-Lab Tata Institute f Fundamental Research, Mumbai - 400
Cambridge Assessment International Education Cambridge Ordinary Level. Published
Cambridge Assessment Internatinal Educatin Cambridge Ordinary Level ADDITIONAL MATHEMATICS 4037/1 Paper 1 Octber/Nvember 017 MARK SCHEME Maximum Mark: 80 Published This mark scheme is published as an aid
ALL INDIA TEST SERIES
Frm Classrm/Integrated Schl Prgrams 7 in Tp, in Tp, 5 in Tp, 6 in Tp 5 ll India Ranks & Students frm Classrm /Integrated Schl Prgrams & 7 Students frm ll Prgrams have been warded a Rank in JEE (dvanced),
= m. Suppose the speed of a wave on a string is given by v = Κ τμ
Phys101 First Majr-11 Zer Versin Sunday, Octber 07, 01 Page: 1 Q1. Find the mass f a slid cylinder f cpper with a radius f 5.00 cm and a height f 10.0 inches if the density f cpper is 8.90 g/cm 3 (1 inch
Sample Test 3. STUDENT NAME: STUDENT id #:
GENERAL PHYSICS PH -3A (Dr. S. Mirv) Test 3 (/7/07) ke Sample Test 3 STUDENT NAME: STUDENT id #: -------------------------------------------------------------------------------------------------------------------------------------------
THERMAL TEST LEVELS & DURATIONS
PREFERRED RELIABILITY PAGE 1 OF 7 PRACTICES PRACTICE NO. PT-TE-144 Practice: 1 Perfrm thermal dwell test n prtflight hardware ver the temperature range f +75 C/-2 C (applied at the thermal cntrl/munting
Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems.
Building t Transfrmatins n Crdinate Axis Grade 5: Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. 5.G.1. Use a pair f perpendicular number lines, called axes, t define
FIELD QUALITY IN ACCELERATOR MAGNETS
FIELD QUALITY IN ACCELERATOR MAGNETS S. Russenschuck CERN, 1211 Geneva 23, Switzerland Abstract The field quality in the supercnducting magnets is expressed in terms f the cefficients f the Furier series
Chapter 14. Nanoscale Resolution in the Near and Far Field Intensity Profile of Optical Dipole Radiation
Chapter 4 Nanscale Reslutin in the Near and Far Field Intensity Prfile f Optical Diple Radiatin Xin Li * and Henk F. Arnldus Mississippi State University * xl@msstate.edu hfa@msstate.edu Jie Shu Rice University
Fundamental Concepts in Structural Plasticity
Lecture Fundamental Cncepts in Structural Plasticit Prblem -: Stress ield cnditin Cnsider the plane stress ield cnditin in the principal crdinate sstem, a) Calculate the maximum difference between the
MATHEMATICS Higher Grade - Paper I
Higher Mathematics - Practice Eaminatin D Please nte the frmat f this practice eaminatin is different frm the current frmat. The paper timings are different and calculatrs can be used thrughut. MATHEMATICS
Power Flow in Electromagnetic Waves. The time-dependent power flow density of an electromagnetic wave is given by the instantaneous Poynting vector
Pwer Flw in Electrmagnetic Waves Electrmagnetic Fields The time-dependent pwer flw density f an electrmagnetic wave is given by the instantaneus Pynting vectr P t E t H t ( ) = ( ) ( ) Fr time-varying
(1.1) V which contains charges. If a charge density ρ, is defined as the limit of the ratio of the charge contained. 0, and if a force density f
1.0 Review f Electrmagnetic Field Thery Selected aspects f electrmagnetic thery are reviewed in this sectin, with emphasis n cncepts which are useful in understanding magnet design. Detailed, rigrus treatments
MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
![MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b](/thumbs/78/78051685.jpg "MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b")
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
CHAPTER 8b Static Equilibrium Units
CHAPTER 8b Static Equilibrium Units The Cnditins fr Equilibrium Slving Statics Prblems Stability and Balance Elasticity; Stress and Strain The Cnditins fr Equilibrium An bject with frces acting n it, but
Higher. Specimen NAB Assessment
hsn.uk.net Higher Mathematics UNIT Specimen NAB Assessment HSN50 This dcument was prduced speciall fr the HSN.uk.net website, and we require that an cpies r derivative wrks attribute the wrk t Higher Still
Sodium D-line doublet. Lectures 5-6: Magnetic dipole moments. Orbital magnetic dipole moments. Orbital magnetic dipole moments
Lectures 5-6: Magnetic diple mments Sdium D-line dublet Orbital diple mments. Orbital precessin. Grtrian diagram fr dublet states f neutral sdium shwing permitted transitins, including Na D-line transitin
Lower Limb Stiffness Estimation during Running: The Effect of Using Kinematic Constraints in Muscle Force Optimization Algorithms
Lwer Limb Stiffness Estimatin during Running: The Effect f Using Kinematic Cnstraints in Muscle Frce Optimizatin Algrithms Rbert Brtlett 1, Enric Pagell 1, and Davide Pivesan 2 1 Intelligent Autnmus Systems
System Non-Synchronous Penetration Definition and Formulation
System Nn-Synchrnus Penetratin Definitin and Frmulatin Operatinal Plicy 27 August 2018 Disclaimer EirGrid as the Transmissin System Operatr (TSO) fr Ireland, and SONI as the TSO fr Nrthern Ireland make
Chapter 2. Coulomb s Law and Electric Field Intensity
Chapter. Culmb s Law and lectric Field Intensit Hat; 9/9/009; -1.1 The perimental Law f Culmb Frm the eperiment the frce between tw charged bjects is QQ F k : Frce in Newtn (N) where Q1 and Q : Charges
Lecture D30 - Orbit Transfers
J. Peraire 16.07 Dynamics Fall 004 Version 1.1 Lecture D30 - Orbit Transfers In this lecture, we will consider how to transfer from one orbit, or trajectory, to another. One of the assumptions that we
ζ a = V ζ a s ζ a φ p = ω p V h T = p R θ c p Derivation of the Quasigeostrophic Height Tendency and Omega Equations
Derivatin f the Quasigestrphic Height Tendency and Omega Equatins Equatins Already Derived (x, y, p versins) Equatin f Cntinuity (Dines Cmpensatin): = ω Hypsmetric Equatin: T = p R φ Vrticity Equatin (natural
Modelling of NOLM Demultiplexers Employing Optical Soliton Control Pulse
Micwave and Optical Technlgy Letters, Vl. 1, N. 3, 1999. pp. 05-08 Mdelling f NOLM Demultiplexers Emplying Optical Slitn Cntrl Pulse Z. Ghassemly, C. Y. Cheung & A. K. Ray Electrnics Research Grup, Schl
Lecture 6: Phase Space and Damped Oscillations
Lecture 6: Phase Space and Damped Oscillatins Oscillatins in Multiple Dimensins The preius discussin was fine fr scillatin in a single dimensin In general, thugh, we want t deal with the situatin where:
Suggested reading: Lackmann (2011), Sections
QG Thery and Applicatins: Apprximatins and Equatins Atms 5110 Synptic Dynamic Meterlgy I Instructr: Jim Steenburgh jim.steenburgh@utah.edu 801-581-8727 Suite 480/Office 488 INSCC Suggested reading: Lackmann
Analysis of Relative Motion of Collocated Geostationary Satellites with Geometric Constraints
www.dlr.de Chart 1 Analysis of Relative Motion of Collocated Geostationary Satellites with Geometric Constraints SFFMT2013, München F. de Bruijn & E. Gill 31 May 2013 www.dlr.de Chart 2 Presentation Outline
Beam Expander Basics: Not All Spots Are Created Equal
EARNING UNERSTANING INTROUCING APPYING Beam Expander Basics: Nt All Spts Are Created Equal A P P I C A T I O N N O T E S BEAM EXPANERS A laser beam expander is designed t increase the diameter f a cllimated
Schedule. Time Varying electromagnetic fields (1 Week) 6.1 Overview 6.2 Faraday s law (6.2.1 only) 6.3 Maxwell s equations
chedule Time Varying electrmagnetic fields (1 Week) 6.1 Overview 6.2 Faraday s law (6.2.1 nly) 6.3 Maxwell s equatins Wave quatin (3 Week) 6.5 Time-Harmnic fields 7.1 Overview 7.2 Plane Waves in Lssless
Solution to HW14 Fall-2002
Slutin t HW14 Fall-2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges
Physics 141H Homework Set #4 Solutions
Phsics 4H Hmewrk Set #4 Slutins Chapter 4: Multiple-chice: 4) The maimum net frce will result when the tw frces are in the same directin. If s, the net frce will hae manitude F + F. The minimum net frce
Here is instructions on how to use the simulation program.(the first simulation is used in question 5)
Larmr Precessin Tutrial Here is instructins n hw t use the simulatin prgram.(the first simulatin is used in questin 5). Duble click the file sp_spins. On the tp f the new windw, click File Open Internal
PHYS College Physics II Final Examination Review
PHYS 1402- Cllege Physics II Final Examinatin Review The final examinatin will be based n the fllwing Chapters/Sectins and will cnsist f tw parts. Part 1, cnsisting f Multiple Chice questins, will accunt
Finding the Earth s magnetic field
Labratry #6 Name: Phys 1402 - Dr. Cristian Bahrim Finding the Earth s magnetic field The thery accepted tday fr the rigin f the Earth s magnetic field is based n the mtin f the plasma (a miture f electrns
Trigonometric Functions. Concept Category 3
Trignmetric Functins Cncept Categry 3 Gals 6 basic trig functins (gemetry) Special triangles Inverse trig functins (t find the angles) Unit Circle: Trig identities a b c 2 2 2 The Six Basic Trig functins