GRAVITOMAGNETISM SUCCESSES IN EXPLAINING THE COSMOS

Size: px
Start display at page:

Download "GRAVITOMAGNETISM SUCCESSES IN EXPLAINING THE COSMOS"

Transcription

1 GRAVITOMAGNETISM SUCCESSES IN EXPLAINING THE COSMOS

2 The purposeof thispresentation PART ONE - To explain what Gravitomagnetism exactly is and how the magnetic part can be interpreted. -To show thatmanycosmicissues canbeexplainedby calculating it strictly, without other assumptions, just by using common sense. -To show thatthe bending of lightand the Mercuryissue canbe purelydeducedand don tneedto begaugesfora theory. PART TWO -Explainmycurrentresearch, consistingof a newtheoryof forces: the Coriolis Gravity and Dynamics Theory.

3 Whatis Gravitomagnetism? Coulomb s Electrostatic Law Newton s Gravity Law q1q2 FC = ke r = q E 3 r F F q m G k e 1 2 m1m2 FN = G r = m g 3 r 1 2

4 Lorentz force F ( ) L2 = q2 E1 + v2 B1 Oliver Heaviside Equivalent Lorentz force for gravity F F F v v q m E g B?...Ω = m g + v Ω ( ) H m m 1 N = kg + 2 s s s Ω= gyrotation

5 F c Heaviside Maxwell equations m g + v Ω ( ) H g 4πG ρ Ω 4π Gj + g t Ω = 0 g Ω t (Minus sign inverses vector orientation) Gravitomagnetic force= gravity force + gyrotational force The gravity field is radial(diverges) and its amplitude is directly proportional to its mass The gyrotation field samplitude is directly proportional to a mass flow oranincreasinggravityfield and is perpendicular to it(encircles it) There are no gyrotational monopoles The inducedgravitationfield s amplitude is directlyproportionalto anincreasinggyrotation field and perpendicular to it(encircles it)

6 The meaningof Gyrotation Ω A linear mass flux is encircled by a gyrotation field according c 2 2 π R Ω or or 4πGj Ωdl 4πGmɺ c Ω = 2Gmɺ Rc An external gravity field defines the zero velocity 2 2 The localabsolute velocity of the massis defined by an external gravity field In otherwords: the aether velocityof a massis alwayszero

7 Electromagnetismand Gravity are totallysimilar Maxwell equationsand Lorentzforce are applicableto both (besides the fact that masses always attract) No furtherassumptions! No furthertheories! Just simplemathsand commonsense!

8 A circular mass flow induces a dipole-like gyrotation Gyrotation of a ring is analogue to the magnetic field of an electrical dipole (steady system) Ring Sphere GI Ω ( r ) = ω 2r c ext The own gravity field defines the zero velocity 3r r ( ω ) r The local absolute velocity of the mass is defined by the own gravity field

9 First effect of Gyrotation Whathappens to aninclinedorbitof a planet? sun Lorentz- Heaviside acceleration: a = g + v Ω p sun p sun Every planet s orbit swivels to the Sun s equator plane. Same occurs for: Saturn rings, disk galaxies. Gyrotation transmits angular momentum at a distance by gravity.

10 Examples: Swiveling to prograde orbits Inclined retrograde orbit equatorial prograde orbit prograde prograde retrograde retrograde retrograde a = g + v Ω p sun p sun sun

11 Consequence: Star svelocityin disc galaxies

12 Simplified explanation without dark matter Spherical galaxy with a spinning center Considernucleus withmassm 0 and a mass distribution withconcentricalshells, eachwitha massm 0 : v GM 2 0 sphere = (Kepler) R Swiveled galaxy The nucleus mass has totally changed: m v GnM 2 0 disc kr0 = = constant MilkyWay: v= 235 km/s

13 Further consequence: Spiraldisc galaxies Total life time side view Swivelling of the orbits Gyrotational pressure upon orbits Swivelling time High density of disc Local grouping Local voids Winding time top view

14 Secondeffect of Gyrotation Lorentz-Heaviside acceleration: Like-spinningplanets withsun = unstable momentum a = g + v Ω p Opposite spinning planets than Sun = stable momentum p

15 p Gyrotational compression forces Thirdeffect of Gyrotation Gyrotation surface-compressionforces a = g + v Ω p Internal gyrotation Rotation Centrifugal force

16 0 < surfacecompression< a Gm ( 2 ) 1 3 sin α Gm cos α 5Rc R 2 x,tot = R ω cos α centrifugal gyrotation gravitation ω 2 2 3Gm ω cos α sin α Gm sin α a y,tot = c R gyrotation gravitation y Gyrotational compression forces F Ω > F c x

17 Internal gyrotation and centripetal forces For a fast spinning sphere(the equation is then almostspin-independent) : R F Ω < F c r R forgivenvaluesof α 1 + 5R R C ( 2 6 3sin α ) 6 3sin RC R r 0 α C wherein ( 2 5 ) R = Gm c = critical compression radius For large masses, small radii : ( 2 r R 5 6 3sin α)

18 Supernovae examples η Caterinae SN a

19 More supernovae examples hourglass nebula hs a hs a

20 Prediction attempt: the shape of supernova stars After the explosion of the sphere:

21 Fourtheffect of Gyrotation Attraction and repelling between molecules a = g + v Ω H Horizontal reciprocity Opposite spins attract Like spins repel

22 Opposite spins repel Vertical reciprocity a = g + v Ω V Like spins attract

23 Application: the expandingearth Natural preferential ordering insidethe Earth: Ω - ωalignswith Ω - vertical attraction - horizontal repel

24 Star slifecycle Sun E X P A N S I O N C O L L A P S E White Dwarf Red Giant

25 Probableprocessto a white dwarf The star expandsand becomesa red giant - Photosphere-matter gets continuously lost - Star s nuclear activity decreases dramatically - Spin speed decreases dramatically Expansion stops Molecules spin vector becomes less oriented Again compression Spin accelerates again Collapse with matter release

26 Othersuccesfulapplications of Gyrotation - The Mercury perihelion advance α v 1 v ω cos mm mm mmr Fα = G + G v α + G v cos α r 2 r c 5 r c Gravity Sun s motion in Milky Way Sun s rotation (negligible) ( 2 cos ) v π 2 1 av 0 α = = 24v2 δ = 6v2 c (excentricity neglected) Withv 1 the Sun svelocityin the MilkyWay, v 2 Mercury svelocityand αis Mercury sangleto the MilkyWay scentre.

27 -The bending of lightgrazingthe Sun ω ϕ 2mM mm 2 2 mmr ωϕ F ϕ, α = G + G v cos α + G cos ϕ 2 r 2r c 5r c v 1 Gravity and gyrotation Sun s motion in Milky Way (neglectible) Sun s rotation Withv 1 the Sun svelocityin the MilkyWay, αthe anglebetweenthe rayand the Sun sorbitand ϕthe Sun slatitudewherethe raypasses.

28 Other application: The formationof a set of tinyringsaboutsaturn Ring section Motion, collisions Pressure without motion Turbulence, separation

29 - The fly-by anomaly onto equa ator onto poles a Poles E E S t, Ω 2 2 The acceleration is : (0 is the equator) -Stronglyontothe equator when flying near the poles -Weak onto the poles when flying under inclination of 25 -Absent near0 and near45 GI ω ω ( 2 ) 3 = sin α cos 2α 1 3 sin α sin 4α cos α 2r c 4 E for Earth, S for satellite, α is the satellite s inclination to the Earth s equator.

30 -The halo of disc galaxies Stars are vacillating in the halo of disc galaxies Poles - The motions of asteroids Preferentialorbit-and spin orientationsand theirinstabilities.

31 - The orbital velocity about fast spinning stars The velocity vcanbefoundout of : v 2 v GI ω GM = v + r r c r ω Orbit motion (if circular) Gyrotation of the star Gravity of the star Causes velocitydependent orbit precession I is the star s inertia moment ω is its angular velocity

32 Prediction attempt: Explosion-free fast spinning stars and black holes Tight compression by gyrotation forces R ω Ω a v Ω Ω = r At the surface: ( Rc ) 2 2 aω Gmr ω π

33 Prediction attempt: bursts of binaries ω a v Ω Ω = Ω Matter from companion

34 -Mass-and lighthorizonsof (toroidal) black holes The graphic for the black hole s horizons at its equator level is mass-independent! BH s radius Light horizon : limit surrounding the black hole, where light remains trapped by the black hole. Mass horizon : limit surrounding the black hole, where the orbits reachthe speed of light, and matter disintegrate. Schwarzschild radius BH s spin rate Orbiting incoming masses desintegrate but behind the light horizon.

35 -Self-compression of fast moving particles by gyrotation Gravity field deformation due to the gravity s speed retardation effect Oleg Jefimenko Pressure: (, ) p r θ = 3Gmv 1 ( v c ) ( ( ) ) v c θ rc 1 sin 3 2 Prediction attempt: the high-speed meson lifetime increase is causedbythe gyrotation compression.

36 Between brackets Howto beacceptedbymainstreamas a dissident? Don tsay: GRT is wrong; I use Gravitomagnetism! Butsay: I usethe Linear Weak Field And referto: Approximation of the General Relativity Theory M. Agop, C. Gh. Buzea, C. Buzea, B. Ciobanuand C. Ciubotariu of the PhysicsDepartmentof the TechnicalUniversity, Iasi, Romania. Theywrote many papers this way, accepted by mainstream, and could boost their studies on superconductivity.

37 Conclusions of part one - All these phenomena are explained in detail without any need of relativity, spites the high speeds used. -No gaugesare used, the theoryis notsemi-empiricas the relativity theory. Even the bending of the lightand the Mercuryissue are purely deduced. - Most of the explained phenomena are steady systems and don t need any correction for the retardation of gravity. - Only the calculation of the position of orbiting objects or translatingobjectsat high speed canbeimprovedbyincludingthe retardation of gravity.

38 ω Currentresearch Coriolis Gravityand Dynamics Theory Discovery: Relationship between the sun s spin and its geometry: graviton I found: Frequency: GmSun υ eq = 2 2cReq Velocity: Sun The possiblemeaningis : the rotational speed of a body is determined by its enclosed mass v eq = πgm cr eq

39 Analysis What could be the physical mechanism? Let us consider particles as trapped light, that release gravitons : 1) A tangential graviton from particle 1 hits particle 2 directly 2 1 Coriolis : let 2c ω = a 2 2 a ω = and let: πgm cr a = 2 πgm R 2 1 Gm υ = 2cR 2 In the case of outgoing gravitons that are tangential to the trapped light, we getthe case of the Sun sspin rateexplained.

40 2) A tangential graviton from particle 1 hits particle 2 indirectly 4 a Coriolis : 3 From1) : 2c ω = a a 4 4 = a 2 2π = 2 πgm R 2 1 ( ) 2 Hence : a = Gm R In the case of outgoing gravitons that are spirally hitting the trapped light we getnewton sgravitylaw!

41 3) A tangential graviton from particle 1 hits particle 1 indirectly F a a Coriolis : let Newton : 2c ω = a F = m a Are forces between particles just a Coriolis effect? Conclusions of part two -The relationshipbetweenthe Suns spin and the Suns gravityis not a coincidence. -The Coriolis effect ontrappedlight, and testedbythe Sun sspin fits with the Newton gravity.

On the geometry of rotary stars and black holes

On the geometry of rotary stars and black holes 2005 Thierry De Mees On the geometry of rotary stars and black holes T. De Mees - thierrydemees@pandora.be Abstract Encouraged by the great number of explained cosmic phenomena by using the Maxwell Analogy

More information

Physics 11 Fall 2012 Practice Problems 6

Physics 11 Fall 2012 Practice Problems 6 Physics 11 Fall 2012 Practice Problems 6 1. Two points are on a disk that is turning about a fixed axis perpendicular to the disk and through its center at increasing angular velocity. One point is on

More information

Why does Saturn have many tiny rings?

Why does Saturn have many tiny rings? 2004 Thierry De Mees hy does Saturn hae many tiny rings? or Cassini-Huygens Mission: New eidence for the Graitational Theory with Dual Vector Field T. De Mees - thierrydemees @ pandora.be Abstract This

More information

Uniform Circular Motion

Uniform Circular Motion Circular Motion Uniform Circular Motion Uniform Circular Motion Traveling with a constant speed in a circular path Even though the speed is constant, the acceleration is non-zero The acceleration responsible

More information

Gravity: Motivation An initial theory describing the nature of the gravitational force by Newton is a product of the resolution of the

Gravity: Motivation An initial theory describing the nature of the gravitational force by Newton is a product of the resolution of the Gravity: Motivation An initial theory describing the nature of the gravitational force by Newton is a product of the resolution of the Geocentric-Heliocentric debate (Brahe s data and Kepler s analysis)

More information

RETHINKING GRAVITY. The gravitational force produced by the mass of the atom is determined by the number of electrons that are bound to it.

RETHINKING GRAVITY. The gravitational force produced by the mass of the atom is determined by the number of electrons that are bound to it. RETHINKING GRAVITY. What causes gravity? The mass of an atom is the source of gravity. The gravitational force produced by the mass of the atom is determined by the number of electrons that are bound to

More information

Neutron Stars. Chapter 14: Neutron Stars and Black Holes. Neutron Stars. What s holding it up? The Lighthouse Model of Pulsars

Neutron Stars. Chapter 14: Neutron Stars and Black Holes. Neutron Stars. What s holding it up? The Lighthouse Model of Pulsars Neutron Stars Form from a 8-20 M Sun star Chapter 14: Neutron Stars and Black Holes Leftover 1.4-3 M Sun core after supernova Neutron Stars consist entirely of neutrons (no protons) Neutron Star (tennis

More information

Lectures on A coherent dual vector field theory for gravitation.

Lectures on A coherent dual vector field theory for gravitation. Lectures on coherent dual vector field theory for gravitation. The purpose of these lectures is to get more familiarized with gyrotation concepts and with its applications. Lecture : a word on the Maxwell

More information

Special Relativity: The laws of physics must be the same in all inertial reference frames.

Special Relativity: The laws of physics must be the same in all inertial reference frames. Special Relativity: The laws of physics must be the same in all inertial reference frames. Inertial Reference Frame: One in which an object is observed to have zero acceleration when no forces act on it

More information

Evolution of High Mass stars

Evolution of High Mass stars Evolution of High Mass stars Neutron Stars A supernova explosion of a M > 8 M Sun star blows away its outer layers. The central core will collapse into a compact object of ~ a few M Sun. Pressure becomes

More information

Special Relativity. Principles of Special Relativity: 1. The laws of physics are the same for all inertial observers.

Special Relativity. Principles of Special Relativity: 1. The laws of physics are the same for all inertial observers. Black Holes Special Relativity Principles of Special Relativity: 1. The laws of physics are the same for all inertial observers. 2. The speed of light is the same for all inertial observers regardless

More information

Thierry De Mees. Gravitomagnetism. including an introduction to the Coriolis Gravity Theory. Gravity Beyond Einstein

Thierry De Mees. Gravitomagnetism. including an introduction to the Coriolis Gravity Theory. Gravity Beyond Einstein Gravitomagnetism including an introduction to the Coriolis Gravity Theory Gravity Beyond Einstein Second Edition - 011 Gravito-magnetism including an introduction to the Coriolis Gravity Theory Gravity

More information

AS3010: Introduction to Space Technology

AS3010: Introduction to Space Technology AS3010: Introduction to Space Technology L E C T U R E S 8-9 Part B, Lectures 8-9 23 March, 2017 C O N T E N T S In this lecture, we will look at factors that cause an orbit to change over time orbital

More information

Chapter 13 Notes The Deaths of Stars Astronomy Name: Date:

Chapter 13 Notes The Deaths of Stars Astronomy Name: Date: Chapter 13 Notes The Deaths of Stars Astronomy Name: Date: I. The End of a Star s Life When all the fuel in a star is used up, will win over pressure and the star will die nuclear fuel; gravity High-mass

More information

Dr G. I. Ogilvie Lent Term 2005 INTRODUCTION

Dr G. I. Ogilvie Lent Term 2005 INTRODUCTION Accretion Discs Mathematical Tripos, Part III Dr G. I. Ogilvie Lent Term 2005 INTRODUCTION 0.1. Accretion If a particle of mass m falls from infinity and comes to rest on the surface of a star of mass

More information

Journal of Theoretics

Journal of Theoretics Journal of Theoretics Volume 6-6, December 2004 The Motion and Structure of Matter under Universal Magnetism Guoyou HUANG gorgeoushuang@sina.com Cambridge Science Center, 107 South Wenming St. Beihai,

More information

The interpretation is that gravity bends spacetime and that light follows the curvature of space.

The interpretation is that gravity bends spacetime and that light follows the curvature of space. 7/8 General Theory of Relativity GR Two Postulates of the General Theory of Relativity: 1. The laws of physics are the same in all frames of reference. 2. The principle of equivalence. Three statements

More information

ASTR 200 : Lecture 21. Stellar mass Black Holes

ASTR 200 : Lecture 21. Stellar mass Black Holes 1 ASTR 200 : Lecture 21 Stellar mass Black Holes High-mass core collapse Just as there is an upper limit to the mass of a white dwarf (the Chandrasekhar limit), there is an upper limit to the mass of a

More information

Lecture Outlines. Chapter 22. Astronomy Today 8th Edition Chaisson/McMillan Pearson Education, Inc.

Lecture Outlines. Chapter 22. Astronomy Today 8th Edition Chaisson/McMillan Pearson Education, Inc. Lecture Outlines Chapter 22 Astronomy Today 8th Edition Chaisson/McMillan Chapter 22 Neutron Stars and Black Holes Units of Chapter 22 22.1 Neutron Stars 22.2 Pulsars 22.3 Neutron-Star Binaries 22.4 Gamma-Ray

More information

Satellite Communications

Satellite Communications Satellite Communications Lecture (3) Chapter 2.1 1 Gravitational Force Newton s 2nd Law: r r F = m a Newton s Law Of Universal Gravitation (assuming point masses or spheres): Putting these together: r

More information

Chapter 13: universal gravitation

Chapter 13: universal gravitation Chapter 13: universal gravitation Newton s Law of Gravitation Weight Gravitational Potential Energy The Motion of Satellites Kepler s Laws and the Motion of Planets Spherical Mass Distributions Apparent

More information

Pulsars. The maximum angular frequency of a spinning star can be found by equating the centripetal and gravitational acceleration M R 2 R 3 G M

Pulsars. The maximum angular frequency of a spinning star can be found by equating the centripetal and gravitational acceleration M R 2 R 3 G M Pulsars Pulsating stars were discovered in 1967 via radio dipole antennae by Jocelyn Bell and Anthony Hewish Pulse period of PSR 1919+21 is 1.337 s Most pulsars have periods between 0.25 s and 2 s The

More information

Chapter 14. Outline. Neutron Stars and Black Holes. Note that the following lectures include. animations and PowerPoint effects such as

Chapter 14. Outline. Neutron Stars and Black Holes. Note that the following lectures include. animations and PowerPoint effects such as Note that the following lectures include animations and PowerPoint effects such as fly ins and transitions that require you to be in PowerPoint's Slide Show mode (presentation mode). Chapter 14 Neutron

More information

Newton s Gravitational Law

Newton s Gravitational Law 1 Newton s Gravitational Law Gravity exists because bodies have masses. Newton s Gravitational Law states that the force of attraction between two point masses is directly proportional to the product of

More information

Centripetal acceleration ac = to2r Kinetic energy of rotation KE, = \lto2. Moment of inertia. / = mr2 Newton's second law for rotational motion t = la

Centripetal acceleration ac = to2r Kinetic energy of rotation KE, = \lto2. Moment of inertia. / = mr2 Newton's second law for rotational motion t = la The Language of Physics Angular displacement The angle that a body rotates through while in rotational motion (p. 241). Angular velocity The change in the angular displacement of a rotating body about

More information

Notes for Wednesday, July 16; Sample questions start on page 2 7/16/2008

Notes for Wednesday, July 16; Sample questions start on page 2 7/16/2008 Notes for Wednesday, July 16; Sample questions start on page 2 7/16/2008 Wed, July 16 MW galaxy, then review. Start with ECP3Ch14 2 through 8 Then Ch23 # 8 & Ch 19 # 27 & 28 Allowed Harlow Shapely to locate

More information

Three Major Components

Three Major Components The Milky Way Three Major Components Bulge young and old stars Disk young stars located in spiral arms Halo oldest stars and globular clusters Components are chemically, kinematically, and spatially distinct

More information

Chapter 13. Universal Gravitation

Chapter 13. Universal Gravitation Chapter 13 Universal Gravitation Planetary Motion A large amount of data had been collected by 1687. There was no clear understanding of the forces related to these motions. Isaac Newton provided the answer.

More information

Chapter 13. Gravitation. PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow

Chapter 13. Gravitation. PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Chapter 13 Gravitation PowerPoint Lectures for University Physics, 14th Edition Hugh D. Young and Roger A. Freedman Lectures by Jason Harlow Next one week Today: Ch 13 Wed: Review of Ch 8-11, focusing

More information

High Energy Astrophysics

High Energy Astrophysics High Energy Astrophysics Accretion Giampaolo Pisano Jodrell Bank Centre for Astrophysics - University of Manchester giampaolo.pisano@manchester.ac.uk April 01 Accretion - Accretion efficiency - Eddington

More information

PH1104/PH114S MECHANICS

PH1104/PH114S MECHANICS PH04/PH4S MECHANICS SEMESTER I EXAMINATION 06-07 SOLUTION MULTIPLE-CHOICE QUESTIONS. (B) For freely falling bodies, the equation v = gh holds. v is proportional to h, therefore v v = h h = h h =.. (B).5i

More information

Neutron Stars. Properties of Neutron Stars. Formation of Neutron Stars. Chapter 14. Neutron Stars and Black Holes. Topics for Today s Class

Neutron Stars. Properties of Neutron Stars. Formation of Neutron Stars. Chapter 14. Neutron Stars and Black Holes. Topics for Today s Class Foundations of Astronomy 13e Seeds Phys1403 Introductory Astronomy Instructor: Dr. Goderya Chapter 14 Neutron Stars and Black Holes Cengage Learning 2016 Topics for Today s Class Neutron Stars What is

More information

Life and Evolution of a Massive Star. M ~ 25 M Sun

Life and Evolution of a Massive Star. M ~ 25 M Sun Life and Evolution of a Massive Star M ~ 25 M Sun Birth in a Giant Molecular Cloud Main Sequence Post-Main Sequence Death The Main Sequence Stars burn H in their cores via the CNO cycle About 90% of a

More information

A = 6561 times greater. B. 81 times greater. C. equally strong. D. 1/81 as great. E. (1/81) 2 = 1/6561 as great Pearson Education, Inc.

A = 6561 times greater. B. 81 times greater. C. equally strong. D. 1/81 as great. E. (1/81) 2 = 1/6561 as great Pearson Education, Inc. Q13.1 The mass of the Moon is 1/81 of the mass of the Earth. Compared to the gravitational force that the Earth exerts on the Moon, the gravitational force that the Moon exerts on the Earth is A. 81 2

More information

Downloaded from

Downloaded from Chapter 8 (Gravitation) Multiple Choice Questions Single Correct Answer Type Q1. The earth is an approximate sphere. If the interior contained matter which is not of the same density everywhere, then on

More information

Kozai-Lidov oscillations

Kozai-Lidov oscillations Kozai-Lidov oscillations Kozai (1962 - asteroids); Lidov (1962 - artificial satellites) arise most simply in restricted three-body problem (two massive bodies on a Kepler orbit + a test particle) e.g.,

More information

Charles Keeton. Principles of Astrophysics. Using Gravity and Stellar Physics. to Explore the Cosmos. ^ Springer

Charles Keeton. Principles of Astrophysics. Using Gravity and Stellar Physics. to Explore the Cosmos. ^ Springer Charles Keeton Principles of Astrophysics Using Gravity and Stellar Physics to Explore the Cosmos ^ Springer Contents 1 Introduction: Tools of the Trade 1 1.1 What Is Gravity? 1 1.2 Dimensions and Units

More information

Classical Mechanics. FIG. 1. Figure for (a), (b) and (c). FIG. 2. Figure for (d) and (e).

Classical Mechanics. FIG. 1. Figure for (a), (b) and (c). FIG. 2. Figure for (d) and (e). Classical Mechanics 1. Consider a cylindrically symmetric object with a total mass M and a finite radius R from the axis of symmetry as in the FIG. 1. FIG. 1. Figure for (a), (b) and (c). (a) Show that

More information

Phys 270 Final Exam. Figure 1: Question 1

Phys 270 Final Exam. Figure 1: Question 1 Phys 270 Final Exam Time limit: 120 minutes Each question worths 10 points. Constants: g = 9.8m/s 2, G = 6.67 10 11 Nm 2 kg 2. 1. (a) Figure 1 shows an object with moment of inertia I and mass m oscillating

More information

Circular Motion and Gravity Lecture 5

Circular Motion and Gravity Lecture 5 Circular Motion and Gravity Lecture 5 ˆ Today we talk about circular motion. There are two reasons to do this... ˆ Last week we talked about Newton s laws in problems dealing with straight-line motion.

More information

- 5 - TEST 2. This test is on the final sections of this session's syllabus and. should be attempted by all students.

- 5 - TEST 2. This test is on the final sections of this session's syllabus and. should be attempted by all students. - 5 - TEST 2 This test is on the final sections of this session's syllabus and should be attempted by all students. QUESTION 1 [Marks 23] A thin non-conducting rod is bent to form the arc of a circle of

More information

Gravitation. Kepler s Law. BSc I SEM II (UNIT I)

Gravitation. Kepler s Law. BSc I SEM II (UNIT I) Gravitation Kepler s Law BSc I SEM II (UNIT I) P a g e 2 Contents 1) Newton s Law of Gravitation 3 Vector representation of Newton s Law of Gravitation 3 Characteristics of Newton s Law of Gravitation

More information

On the Tides' paradox.

On the Tides' paradox. On the Tides' paradox. T. De ees - thierrydemees @ pandora.be Abstract In this paper I analyse the paradox of tides, that claims that the oon and not the Sun is responsible for them, although the Sun's

More information

7/5. Consequences of the principle of equivalence (#3) 1. Gravity is a manifestation of the curvature of space.

7/5. Consequences of the principle of equivalence (#3) 1. Gravity is a manifestation of the curvature of space. 7/5 Consequences of the principle of equivalence (#3) 1. Gravity is a manifestation of the curvature of space. Follow the path of a light pulse in an elevator accelerating in gravityfree space. The dashed

More information

Formation of the Solar System Chapter 8

Formation of the Solar System Chapter 8 Formation of the Solar System Chapter 8 To understand the formation of the solar system one has to apply concepts such as: Conservation of angular momentum Conservation of energy The theory of the formation

More information

Gravity and Orbits. Objectives. Clarify a number of basic concepts. Gravity

Gravity and Orbits. Objectives. Clarify a number of basic concepts. Gravity Gravity and Orbits Objectives Clarify a number of basic concepts Speed vs. velocity Acceleration, and its relation to force Momentum and angular momentum Gravity Understand its basic workings Understand

More information

Milky Way s Substance Loop

Milky Way s Substance Loop Milky Way s Substance Loop Wei-Xiong Huang May 6, 2015 Abstract: Milky Way center exists a star of super huge mass, its called milky way "nuclear-star". Its rotation and gravitation led milky way all substances

More information

Classical Mechanics Ph.D. Qualifying Examination. 8 January, :00 to 12:00

Classical Mechanics Ph.D. Qualifying Examination. 8 January, :00 to 12:00 UNIVERSITY OF ILLINOIS AT CHICAGO DEPARTMENT OF PHYSICS Classical Mechanics Ph.D. Qualifying Examination 8 January, 2013 9:00 to 12:00 Full credit can be achieved from completely correct answers to 4 questions.

More information

Physics HW Set 3 Spring 2015

Physics HW Set 3 Spring 2015 1) If the Sun were replaced by a one solar mass black hole 1) A) life here would be unchanged. B) we would still orbit it in a period of one year. C) all terrestrial planets would fall in immediately.

More information

AP Physics QUIZ Gravitation

AP Physics QUIZ Gravitation AP Physics QUIZ Gravitation Name: 1. If F1 is the magnitude of the force exerted by the Earth on a satellite in orbit about the Earth and F2 is the magnitude of the force exerted by the satellite on the

More information

Neutron Stars. Neutron Stars and Black Holes. The Crab Pulsar. Discovery of Pulsars. The Crab Pulsar. Light curves of the Crab Pulsar.

Neutron Stars. Neutron Stars and Black Holes. The Crab Pulsar. Discovery of Pulsars. The Crab Pulsar. Light curves of the Crab Pulsar. Chapter 11: Neutron Stars and Black Holes A supernova explosion of an M > 8 M sun star blows away its outer layers. Neutron Stars The central core will collapse into a compact object of ~ a few M sun.

More information

Directed Reading A. Section: The Life Cycle of Stars TYPES OF STARS THE LIFE CYCLE OF SUNLIKE STARS A TOOL FOR STUDYING STARS.

Directed Reading A. Section: The Life Cycle of Stars TYPES OF STARS THE LIFE CYCLE OF SUNLIKE STARS A TOOL FOR STUDYING STARS. Skills Worksheet Directed Reading A Section: The Life Cycle of Stars TYPES OF STARS (pp. 444 449) 1. Besides by mass, size, brightness, color, temperature, and composition, how are stars classified? a.

More information

Axis Balanced Forces Centripetal force. Change in velocity Circular Motion Circular orbit Collision. Conservation of Energy

Axis Balanced Forces Centripetal force. Change in velocity Circular Motion Circular orbit Collision. Conservation of Energy When something changes its velocity The rate of change of velocity of a moving object. Can result from a change in speed and/or a change in direction On surface of earth, value is 9.8 ms-²; increases nearer

More information

University of Naples Federico II, Academic Year Istituzioni di Astrofisica, read by prof. Massimo Capaccioli. Lecture 19.

University of Naples Federico II, Academic Year Istituzioni di Astrofisica, read by prof. Massimo Capaccioli. Lecture 19. University of Naples Federico II, Academic Year 2011-2012 Istituzioni di Astrofisica, read by prof. Massimo Capaccioli Lecture 19 Neutron stars Learning outcomes The student will see: xxx Discovery of

More information

Rotational Kinematics

Rotational Kinematics Rotational Kinematics Rotational Coordinates Ridged objects require six numbers to describe their position and orientation: 3 coordinates 3 axes of rotation Rotational Coordinates Use an angle θ to describe

More information

Syllabus and Schedule for ASTRO 210 (Black Holes)

Syllabus and Schedule for ASTRO 210 (Black Holes) Black Holes Syllabus and Schedule for ASTRO 210 (Black Holes) The syllabus and schedule for this class are located at: http://chartasg.people.cofc.edu/chartas/teaching.html Gravity is Universal Gravity

More information

Physics for Poets. Gaurang Yodh, UC. (a) What does Physics study? Behavior of Matter, Radiation and their interaction.

Physics for Poets. Gaurang Yodh, UC. (a) What does Physics study? Behavior of Matter, Radiation and their interaction. Physics for Poets Gaurang Yodh, UC (a) What does Physics study? Behavior of Matter, Radiation and their interaction. (b) What is method of study? Experiment - obtain hints about phenomena using imagination

More information

Dynamical properties of the Solar System. Second Kepler s Law. Dynamics of planetary orbits. ν: true anomaly

Dynamical properties of the Solar System. Second Kepler s Law. Dynamics of planetary orbits. ν: true anomaly First Kepler s Law The secondary body moves in an elliptical orbit, with the primary body at the focus Valid for bound orbits with E < 0 The conservation of the total energy E yields a constant semi-major

More information

1 The displacement, s in metres, of an object after a time, t in seconds, is given by s = 90t 4 t 2

1 The displacement, s in metres, of an object after a time, t in seconds, is given by s = 90t 4 t 2 CFE Advanced Higher Physics Unit 1 Rotational Motion and Astrophysics Kinematic relationships 1 The displacement, s in metres, of an object after a time, t in seconds, is given by s = 90t 4 t 2 a) Find

More information

FORMATION AND EVOLUTION OF COMPACT BINARY SYSTEMS

FORMATION AND EVOLUTION OF COMPACT BINARY SYSTEMS FORMATION AND EVOLUTION OF COMPACT BINARY SYSTEMS Main Categories of Compact Systems Formation of Compact Objects Mass and Angular Momentum Loss Evolutionary Links to Classes of Binary Systems Future Work

More information

6 th lecture of Compact Object and Accretion, Master Programme at Leiden Observatory

6 th lecture of Compact Object and Accretion, Master Programme at Leiden Observatory 6 th lecture of Compact Object and Accretion, Master Programme at Leiden Observatory Accretion 1st class study material: Chapter 1 & 4, accretion power in astrophysics these slides at http://home.strw.leidenuniv.nl/~emr/coa/

More information

Gravity: What s the big attraction? Dan Wilkins Institute of Astronomy

Gravity: What s the big attraction? Dan Wilkins Institute of Astronomy Gravity: What s the big attraction? Dan Wilkins Institute of Astronomy Overview What is gravity? Newton and Einstein What does gravity do? Extreme gravity The true power of gravity Getting things moving

More information

Black Holes. Jan Gutowski. King s College London

Black Holes. Jan Gutowski. King s College London Black Holes Jan Gutowski King s College London A Very Brief History John Michell and Pierre Simon de Laplace calculated (1784, 1796) that light emitted radially from a sphere of radius R and mass M would

More information

Velocity Dependent Inertial Induction - a Case for Experimental Observation

Velocity Dependent Inertial Induction - a Case for Experimental Observation Apeiron, No. 3, August 1988 14 Velocity Dependent Inertial Induction - a Case for Experimental Observation Amitabha Ghosh Department of Mechanical Engineering Indian Institute of Technology Post Office

More information

Thoughts on the Nebular Theory of our Planetary System Formation

Thoughts on the Nebular Theory of our Planetary System Formation Thoughts on the Nebular Theory of our Planetary System Formation Thierry De Mees e-mail: thierrydemees (at) telenet.be The Nebular Hypothesis The hypothesis of a Solar Nebula, also known as the Kant- Laplace

More information

AS1001:Extra-Galactic Astronomy

AS1001:Extra-Galactic Astronomy AS1001:Extra-Galactic Astronomy Lecture 5: Dark Matter Simon Driver Theatre B spd3@st-andrews.ac.uk http://www-star.st-and.ac.uk/~spd3 Stars and Gas in Galaxies Stars form from gas in galaxy In the high-density

More information

AP Physics C Mechanics Objectives

AP Physics C Mechanics Objectives AP Physics C Mechanics Objectives I. KINEMATICS A. Motion in One Dimension 1. The relationships among position, velocity and acceleration a. Given a graph of position vs. time, identify or sketch a graph

More information

PHYSICS - CLUTCH CH 14: ANGULAR MOMENTUM.

PHYSICS - CLUTCH CH 14: ANGULAR MOMENTUM. !! www.clutchprep.com EXAMPLE: HOLDING WEIGHTS ON A SPINNING STOOL EXAMPLE: You stand on a stool that is free to rotate about an axis perpendicular to itself and through its center. Suppose that your combined

More information

Question 8.1: the following: (a) You can shield a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting

More information

Introduction. Nature of Mass

Introduction. Nature of Mass ON PLANETARY MOTION CAUSED BY SOLAR SPACE-VORTEX By Paramahamsa Tewari, B.Sc.Engg. Former Executive Director (Nuclear Projects) Nuclear Power Corporation, India Introduction Rene Descartes, in 17 th century

More information

Chapter 9. Gravitation

Chapter 9. Gravitation Chapter 9 Gravitation 9.1 The Gravitational Force For two particles that have masses m 1 and m 2 and are separated by a distance r, the force has a magnitude given by the same magnitude of force acts on

More information

Accretion Disks. Review: Stellar Remnats. Lecture 12: Black Holes & the Milky Way A2020 Prof. Tom Megeath 2/25/10. Review: Creating Stellar Remnants

Accretion Disks. Review: Stellar Remnats. Lecture 12: Black Holes & the Milky Way A2020 Prof. Tom Megeath 2/25/10. Review: Creating Stellar Remnants Lecture 12: Black Holes & the Milky Way A2020 Prof. Tom Megeath Review: Creating Stellar Remnants Binaries may be destroyed in white dwarf supernova Binaries be converted into black holes Review: Stellar

More information

AST1100 Lecture Notes

AST1100 Lecture Notes AST1100 Lecture Notes 5 The virial theorem 1 The virial theorem We have seen that we can solve the equation of motion for the two-body problem analytically and thus obtain expressions describing the future

More information

21/11/ /11/2017 Space Physics AQA Physics topic 8

21/11/ /11/2017 Space Physics AQA Physics topic 8 Space Physics AQA Physics topic 8 8.1 Solar System, Orbits and Satellites The eight planets of our Solar System Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune As well as the eight planets, the

More information

The Cause of Centrifugal Force

The Cause of Centrifugal Force The Cause of Centrifugal Force Frederick David Tombe, Belfast, Northern Ireland, United Kingdom, sirius184@hotmail.com 24th July 2008, Belfast Abstract. Centrifugal force is the outward radial expansion

More information

Static Equilibrium, Gravitation, Periodic Motion

Static Equilibrium, Gravitation, Periodic Motion This test covers static equilibrium, universal gravitation, and simple harmonic motion, with some problems requiring a knowledge of basic calculus. Part I. Multiple Choice 1. 60 A B 10 kg A mass of 10

More information

Number of Stars: 100 billion (10 11 ) Mass : 5 x Solar masses. Size of Disk: 100,000 Light Years (30 kpc)

Number of Stars: 100 billion (10 11 ) Mass : 5 x Solar masses. Size of Disk: 100,000 Light Years (30 kpc) THE MILKY WAY GALAXY Type: Spiral galaxy composed of a highly flattened disk and a central elliptical bulge. The disk is about 100,000 light years (30kpc) in diameter. The term spiral arises from the external

More information

Components of Galaxies Stars What Properties of Stars are Important for Understanding Galaxies?

Components of Galaxies Stars What Properties of Stars are Important for Understanding Galaxies? Components of Galaxies Stars What Properties of Stars are Important for Understanding Galaxies? Temperature Determines the λ range over which the radiation is emitted Chemical Composition metallicities

More information

SPIN PRECESSION IN A 2 BODY SYSTEM: A NEW TEST OF GENERAL RELATIVITY R. F. O CONNELL DEPT. OF PHYSICS & ASTRONOMY LOUISIANA STATE UNIVERSITY

SPIN PRECESSION IN A 2 BODY SYSTEM: A NEW TEST OF GENERAL RELATIVITY R. F. O CONNELL DEPT. OF PHYSICS & ASTRONOMY LOUISIANA STATE UNIVERSITY SPIN PRECESSION IN A 2 BODY SYSTEM: A NEW TEST OF GENERAL RELATIVITY R. F. O CONNELL DEPT. OF PHYSICS & ASTRONOMY LOUISIANA STATE UNIVERSITY 1 1. Newtonian Theory (p. 2) 2. General Relativistic Corrections

More information

Large Scale Structure

Large Scale Structure Large Scale Structure Measuring Distance in Universe-- a ladder of steps, building from nearby Redshift distance Redshift = z = (λ observed - λ rest )/ λ rest Every part of a distant spectrum has same

More information

PHYSICS 221, FALL 2011 EXAM #2 SOLUTIONS WEDNESDAY, NOVEMBER 2, 2011

PHYSICS 221, FALL 2011 EXAM #2 SOLUTIONS WEDNESDAY, NOVEMBER 2, 2011 PHYSICS 1, FALL 011 EXAM SOLUTIONS WEDNESDAY, NOVEMBER, 011 Note: The unit vectors in the +x, +y, and +z directions of a right-handed Cartesian coordinate system are î, ĵ, and ˆk, respectively. In this

More information

Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means?

Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means? Question 8.1: the following: You can shield a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting it

More information

Name Final Exam December 7, 2015

Name Final Exam December 7, 2015 Name Final Exam December 7, 015 This test consists of five parts. Please note that in parts II through V, you can skip one question of those offered. Part I: Multiple Choice (mixed new and review questions)

More information

Dynamics of the Earth

Dynamics of the Earth Time Dynamics of the Earth Historically, a day is a time interval between successive upper transits of a given celestial reference point. upper transit the passage of a body across the celestial meridian

More information

(b) The period T and the angular frequency ω of uniform rotation are related to the cyclic frequency f as. , ω = 2πf =

(b) The period T and the angular frequency ω of uniform rotation are related to the cyclic frequency f as. , ω = 2πf = PHY 302 K. Solutions for problem set #9. Non-textbook problem #1: (a) Rotation frequency of 1 Hz means one revolution per second, or 60 revolutions per minute (RPM). The pre-lp vinyl disks rotated at 78

More information

Relativity and Black Holes

Relativity and Black Holes Relativity and Black Holes Post-MS Evolution of Very High Mass (>15 M Θ ) Stars similar to high mass except more rapid lives end in Type II supernova explosions main difference: mass of iron core at end

More information

Chapter 8. Rotational Equilibrium and Rotational Dynamics. 1. Torque. 2. Torque and Equilibrium. 3. Center of Mass and Center of Gravity

Chapter 8. Rotational Equilibrium and Rotational Dynamics. 1. Torque. 2. Torque and Equilibrium. 3. Center of Mass and Center of Gravity Chapter 8 Rotational Equilibrium and Rotational Dynamics 1. Torque 2. Torque and Equilibrium 3. Center of Mass and Center of Gravity 4. Torque and angular acceleration 5. Rotational Kinetic energy 6. Angular

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Earth, Atmospheric, and Planetary Sciences Department. Final Exam

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Earth, Atmospheric, and Planetary Sciences Department. Final Exam MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Earth, Atmospheric, and Planetary Sciences Department Physics 8.282J EAPS 12.402J May 20, 2005 Final Exam Name Last First (please print) 1. Do any

More information

Chapter 13. Gravitation

Chapter 13. Gravitation Chapter 13 Gravitation e = c/a A note about eccentricity For a circle c = 0 à e = 0 a Orbit Examples Mercury has the highest eccentricity of any planet (a) e Mercury = 0.21 Halley s comet has an orbit

More information

Explanation: The escape velocity and the orbital velocity for a satellite are given by

Explanation: The escape velocity and the orbital velocity for a satellite are given by 1. A satellite orbits at a height h above the Earth's surface. Let R be the Earth's radius. If Ve is the escape velocity and Vo is the orbital velocity of the satellite orbiting at a height h

More information

Chapter 18 The Bizarre Stellar Graveyard

Chapter 18 The Bizarre Stellar Graveyard Chapter 18 The Bizarre Stellar Graveyard 18.1 White Dwarfs Our goals for learning What is a white dwarf? What can happen to a white dwarf in a close binary system? What is a white dwarf? White Dwarfs White

More information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Common Quiz Mistakes / Practice for Final Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A ball is thrown directly upward and experiences

More information

AST Homework V - Solutions

AST Homework V - Solutions AST 341 - Homework V - Solutions TA: Marina von Steinkirch, steinkirch@gmail.com State University of New York at Stony Brook November, 010 1 (1 point) Derive the homologous form of the luminosity equation

More information

The Night Sky. The Universe. The Celestial Sphere. Stars. Chapter 14

The Night Sky. The Universe. The Celestial Sphere. Stars. Chapter 14 The Night Sky The Universe Chapter 14 Homework: All the multiple choice questions in Applying the Concepts and Group A questions in Parallel Exercises. Celestial observation dates to ancient civilizations

More information

READ: Chapter 11.1, 11.2 (11.2.1, only), 11.3(

READ: Chapter 11.1, 11.2 (11.2.1, only), 11.3( HW READ: Chapter 11.1, 11.2 (11.2.1,11.2.2 only), 11.3( 11.3.1,11.3.2 only), 11.4,11.5 Question 11.2(HW#15) Problems 1(HW#16) (part a: recall: basic KE=1/2mv 2,Part tb: recall momentum conservation M f

More information

ASTR Midterm 2 Phil Armitage, Bruce Ferguson

ASTR Midterm 2 Phil Armitage, Bruce Ferguson ASTR 1120-001 Midterm 2 Phil Armitage, Bruce Ferguson SECOND MID-TERM EXAM MARCH 21 st 2006: Closed books and notes, 1 hour. Please PRINT your name and student ID on the places provided on the scan sheet.

More information

[2] Explain why values of gravitational potential near to an isolated mass are all negative [3]

[2] Explain why values of gravitational potential near to an isolated mass are all negative [3] 1 (a) Define gravitational potential.... [2] (b) Explain why values of gravitational potential near to an isolated mass are all negative.... [3] (c) The Earth may be assumed to be an isolated sphere of

More information

Chapter 13 2/19/2014. Lecture Outline Neutron Stars. Neutron Stars and Black Holes Neutron Stars. Units of Chapter

Chapter 13 2/19/2014. Lecture Outline Neutron Stars. Neutron Stars and Black Holes Neutron Stars. Units of Chapter 13.1 Neutron Stars Lecture Outline Chapter 13 Neutron Stars and After a Type I supernova, little or nothing remains of the original star. After a Type II supernova, part of the core may survive. It is

More information

AP Physics 1 Second Semester Final Exam Review

AP Physics 1 Second Semester Final Exam Review AP Physics 1 Second Semester Final Exam Review Chapter 7: Circular Motion 1. What does centripetal mean? What direction does it indicate?. Does the centripetal force do work on the object it is rotating?

More information