Questions tagged [precession]

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21 views

Manev potencial and some problems with it [on hold]

Given the Manev potential by the equation below $$\ V_M(r) = - \frac{-mMG}{r} \left(1 + \frac{\gamma MG}{c^2r}\right) $$ in which: M is the Sun's mass; m is the planet's mass; G is Newton's ...
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28 views

What are the conditions that an asymmetric top will perform precession in space (zero torque)?

The conditions that an asymmetric top will perform precession under gravitational field are described in the article Precession of an Unsymmetrical Top. (I can't get the full article.) But what if ...
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1answer
93 views

Balance of a rolling coin

If we place a typical coin on a table, it will almost immediately fall due to gravity. However, with a little push it will roll and not fall anymore until friction eventually slows it down enough to ...
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1answer
39 views

Does asymmetric rigid body experience torque-free precession?

I know that a top (or any axis symmetric body) experience torque-free precession. and I know that asymmetric body, with 3 different dimensions has stable rotation when the angular velocity is near the ...
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33 views

Does Larmor precession of a magnetic spin produce a (time-averaged) electrostatic near-field?

I have been wondering whether or not applying a magnetic field to a material containing magnetic spins could produce an electrostatic-like field as a result of a Larmor precession of the embedded ...
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31 views

Dynamics of Gyroscopic P recession

It is taught relatively early in classical mechanics that the precession of a top exists because when the body is spinning, the gravitation torque pushes the rotational axis (more accurately it pushes ...
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2answers
35 views

Angular momentum and Gyroscopic precession of a top [closed]

A top is spinning in the counterclockwise direction as seen from above. Its axis of rotation makes an angle of 15º with the vertical. If frictional forces can be neglected, which of the following is ...
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1answer
53 views

Nutation frequency for a weighted gyroscope

So, I've been led to believe that the frequency of nutation of a gyroscope can be calculated using the formula In which the I's are the moments of inertia around the principal axes and omega-3 is the ...
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1answer
54 views

What is the rate at which a precessing top falls over?

From the following equation from hyperphysics, as rotational speed $\omega$ decreases, precession speed $\omega_p$ increases. However, from what we observe physically, as rotational speed of the top ...
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3answers
62 views

Kinds of orbits in two-body problem

I have a numerical simulation for two bodies moving under gravitational interaction, and some of the outputs are not cohering with my understanding of the theory. My understanding of the theory: In ...
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35 views

Factors effecting the time period of Euler's disk [closed]

I wish to carry out research on the factors effecting the time period of a spinning Euler's disk. Do factors like friction coefficient of the base or concavity of the base effect the disk? If not, ...
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1answer
101 views

Anomalous precession of the orbit of Mercury

Can the anomalous precession of the orbit of Mercury be explained just with relativistic length contraction?
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22 views

Angular velocity formula in a precession motion

I find out that in the specific case of a precession motion of a constant in magnitude vector $\vec{A}$ we can say that: $\frac{d\vec{A}}{dt}=\vec{\omega}$x$\vec{A}$. Where $\vec{\omega}$ is the ...
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50 views

Lense-Thirring effect: Revolution, precession, rotation … inside rotating shell?

This is a very basic and vague question (I don't know general relativity, nor much physics, but am interested in this question for idiosyncratic reasons). Consider a rotating spherical shell of mass ...
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1answer
60 views

Why does an increase in height decrease the spin time of a spinning top?

We know that an increase in height of a spinning top decreases the time it spins for without toppling. Why does this happen? I suspect that this is connected to the fact that an increase in height of ...
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29 views

Gyroscopes - Uniform precession - Externam forces

Suppose that you have a gyroscope with revolution symmetry around a perpendicular axis $\bf{e}$ such that the inertia tensor of this gyroscope can be written: $${\bf{Jc}} = {A\bf{I}} + (\Gamma - A)\...
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1answer
40 views

I have a question about the gravity probe B geodectic precession formula and why it seems to be twice the planetary precession formula

Specifically, I can work out the planetary precession formula to give radians per orbit as 6*pi*GM/c^2r (and I find that on the web at places like http://farside.ph.utexas.edu/teaching/336k/...
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1answer
65 views

How to compare the observation with the theoretically predicted result?

On the Wikipedia Article on “Geodesics in general relativity”, it says the following: “Thus, for example, the path of a planet orbiting a star is the projection of a geodesic of the curved 4-D ...
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Stuck on Weinberg's quick derivation of Thomas precession

In Weinberg's Gravitation and Cosmology he has a pretty concise derivation of the Thomas precession formula (Eq. 5.1.13). But I don't get the first step... A particle with intrinsic spin is under the ...
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182 views

Goldstein central force problem [closed]

I was reading Goldstein chapter 3 central force motion. I tried to do the exercise 21 on p. 130 of 3rd ed. but cant think of any way how to do it. any clue would be very helpful. Show that the ...
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1answer
142 views

Mercury perihelion advancement [closed]

By Newton's gravity equations 5557 out of 5600 arc sec Mercury perihelion advancement derived from other planets gravitational attraction. Whether regular asteroids striking force could explain ...
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2answers
406 views

How is a perpendicular angular momentum origin in gyroscopic precession?

Assume in the given diagram, $\theta = 0$, for sake of simplicity Then, I understand there exists an initial angular momentum in the y-direction and a torque in the X direction of the gyroscope. This ...
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2answers
189 views

If a gyroscope is provided a torque in space, what will its motion be after the torque ceases to act?

As there will be no energy dissipation, where will the kinetic energy of precession go as the gyroscope can't precess in the absence of a torque? Thanks in advance!
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2answers
502 views

What is the difference between precession and spin angles?

I was recently introduced to Euler Angles in a Dynamics course, but I am confused on the difference between precession and spin angles. Both precession and spin consist in rotating a coordinate system ...
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253 views

Start of gyroscopic precession

Let's consider the classical example, the wheel hung by one side of the axle: ¹ When the wheel is not spinning, it will tilt down the free end of the axle first. When the wheel is spinning, it will ...
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1answer
471 views

Gyroscopic precession - Angular momentum in vertical direction

In the classic example of gyroscopic precession, the wheel starts to process, and now acquires a angular moment also in the vertical direction. Initial angular momentum was in a single plane. The one ...
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85 views

Planar Precession Frequency of Orbit

What is the general relation between orbital precession $\Phi$, orbital frequency $\Omega$ and a radial perturbation frequency $\omega$? For certain cases the answer is "clear", for example: 1) If $\...
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2answers
105 views

Angular momentum paradox

I want to analyze the following system, where the mass of the axle is negligible and the Wheel is spinning. In particular I need to calculate the amount of torque about the point where the string ...
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1answer
64 views

How do I calculate the energy density of a flywheel rotating along dual axes?

It seems to me that if you can rotate a flywheel along more than one axis simultaneously you can significantly add to the amount energy it can store. So a flywheel that is spinning and precessing(?) ...
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1answer
25 views

micron sanding apparatus [closed]

I am in need to shave a special material (composite much like fiberglass/kevlar) from 30 microns down to 10 microns, on a consistent basis. How would I make something like this? or is there anything ...
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3answers
234 views

Can precession happen with no external forces?

I wanted to ask the following question: Can a body that experiences no forces whatsoever precess? Let's say I have a body in space - no gravity or anything - can I make it precess without applying ...
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1answer
236 views

Why do nuclei precess in magnetic fields?

I understand that a classical bar magnet will precess about the axis of an external magnetic field. Whilst researching NMR, I have read that nuclei with half-integer spin which are subject to an ...
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175 views

Where did Paul Gerber go wrong in arriving at the same equation as Einstein in explaining the Mercury anomaly?

We know that Einstein admitted that Paul Gerber's 1898 formula explaining the anomaly of Mercury's perihelion was the same as his own. Reportedly Gerber had made a mistake somewhere, so - even though ...
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2answers
206 views

Can/Does angular momentum apply a torque?

Context I'm a psychologist and I'm interested in perception of gyroscopic forces. For that reason, I'm having to think about many of the classic issues relating to gyroscopes in reverse. That is, ...
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1answer
111 views

How to relate spin speed and time in which a gyroscope falls beyond some angle?

Usually physics books calculate the precession rate of a gyroscope when its momentum wheel is spinning "fast enough." I am looking for an equation to calculate the wheel speed whereat a gyroscope "...
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1answer
161 views

Owen Biesel's paper on 'The Precession of Mercury’s Perihelion'

I have seen this paper was referred to this question How do you calculate the anomalous precession of Mercury? . I am also writing a project paper on Mercury's Perihelion Precession. I will use the ...
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2answers
364 views

Mercury's precession

I read in an article about Mercury's precession that Newton's law of gravitation predicts such precession of planets ;but fails to caluclate the precession of Mercury.But most of popular science ...
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1answer
130 views

How to express a Spin Up in direction $\boldsymbol{\hat n}$ in terms of the $S_z$ basis

So, In the question below, they've asked me to express the Spin Up in n Vector in terms of the $S_z$ basis. As shown in the question, the unit vector for $\boldsymbol{\hat n}$ is expressed as a ...
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79 views

What causes certain spinning tops to flip? [duplicate]

Certain spinning tops flip upside-down once spun sufficiently high, as shown in this video. Suppose I have the following: A cylindrically-symmetric top The principal axes of a given top's moment of ...
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1answer
477 views

What is radial oscillation and how is it measured?

In the context of the Earth orbiting the sun, the question of the problem is "If the radial oscillation has a higher frequency than the time it takes the Earth to orbit the sun, will the aphelion ...
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1answer
24 views

Is Gyroscopic precession relative to the object in precessions axis of movement when there is drag imposed on the disc?

Does my question make sense? I am referring to the disc of an AutoGyro aircraft. Though the fuselage of a modern pusher AutoGyro will weather vane into the wind, the disc that provides lift does not. ...
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1answer
648 views

Mercury's perihelion precession [closed]

i want to plot the precession of mercury's perihelion in MatLaB .(like the image below).Help me out here ,guys. https://en.wikipedia.org/wiki/Apsidal_precession#/media/File:Perihelion_precession.svg ...
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1answer
106 views

Is the $\omega$ of $\frac{d\omega}{dt}$ in Euler's equations a vector quantity?

I was studying about Euler's equations in rotational dynamics if $t$ denotes torque then $$t_1 = I_{11}\frac{d\omega_1}{dt} + \omega_2\omega_3(I_{33}-I_{22})$$ Consider a situation where a disk's ...
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707 views

When an electron orbits in a magnetic field, how exactly does its spin precess?

In the case of a cyclotron, with a constant magnetic field $B$ in the vertical direction, a moving electron circles in a horizontal orbit. The cyclotron frequency is $\omega = eB/m$. At the same ...
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1answer
702 views

How to tell if an orbit is closed given the potential?

I'm working on a homework question in which I am supposed to discuss the types of motion that orbits may have under a certain potential. What I've done so far is draw the energy diagram for such a ...
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1answer
39 views

How would spin of a binary depend on its mass?

I have been reading an article about a code that uses precession analysis on spin of binaries. At the beginning of the article authors describe units of code where they take $c=1$ (speed of light) and ...
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1answer
50 views

Does Earth's precession rate change with the seasons?

As Earth's precession is caused by the differential solar, etc., attraction to its 'spare tire', then does the rate go to ~zero at the equinoxes and ~twice the average at the solstices? (preferred ...
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2answers
230 views

Orbital period and nodal precession & apsidal precession

In classical orbital mechanics as per Newton/Kepler, the time taken to complete one orbit around a body of mass $M_e$ is: $$ T = 2 \pi \cdot \sqrt { \frac {a^3} {G \cdot M_e} } $$ But also, for ...
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2answers
351 views

Feynman's disk paradox used as a gyroscope?

I have recently learned about Feynman's disk paradox, where angular momentum is stored in the properties of the electric field. One example would be a coil with current going through whose axis is ...
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1answer
128 views

Why does gravitational torque on a precessing gyroscope turn the spin momentum instead of making the gyroscope fall?

I read in a physics book that given the spin momentum is high the torque will turn the spin angular momentum instead of making the pendulum fall. What law governs this??