What is Period: Definition and 1000 Discussions

The orbital period (also revolution period) is the time a given astronomical object takes to complete one orbit around another object, and applies in astronomy usually to planets or asteroids orbiting the Sun, moons orbiting planets, exoplanets orbiting other stars, or binary stars.
For celestial objects in general the sidereal orbital period (sidereal year) is referred to by the orbital period, determined by a 360° revolution of one celestial body around another, e.g. the Earth orbiting the Sun, relative to the fixed stars projected in the sky. Orbital periods can be defined in several ways. The tropical period is more particular about the position of the parent star. It is the basis for the solar year, and respectively the calendar year.
The synodic period incorporates not only the orbital relation to the parent star, but also to other celestial objects, making it not a mere different approach to the orbit of an object around its parent, but a period of orbital relations with other objects, normally Earth and their orbits around the Sun. It applies to the elapsed time where planets return to the same kind of phenomena or location, such as when any planet returns between its consecutive observed conjunctions with or oppositions to the Sun. For example, Jupiter has a synodic period of 398.8 days from Earth; thus, Jupiter's opposition occurs once roughly every 13 months.
Periods in astronomy are conveniently expressed in various units of time, often in hours, days, or years. They can be also defined under different specific astronomical definitions that are mostly caused by the small complex external gravitational influences of other celestial objects. Such variations also include the true placement of the centre of gravity between two astronomical bodies (barycenter), perturbations by other planets or bodies, orbital resonance, general relativity, etc. Most are investigated by detailed complex astronomical theories using celestial mechanics using precise positional observations of celestial objects via astrometry.

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  1. B

    Finding the Time Period of a Double Pendulum

    does the double pendulum have a time period as such...and if so...how do we practically find it out...and if so then the time period is dependant on the intermediate mass or the main bob?
  2. A

    Amusement Park ride - maximum period of rotation

    Homework Statement A 2.8m radius drum (cylinder) rotates such that a person does not fall when the "floor" falls away (imagine the person being pushed against the inside wall of the cylinder, with no bottom to the cylinder) If the coefficient of friction between the person and the wall is...
  3. B

    Double Pendulum Mass & Distance Effects on Period

    I was wondering how the time period of a double pendulum depends on the mass of the intermediate object and its distance from the bob?
  4. S

    Is a Very Short Period a Cause for Concern?

    I don't know where else to ask something like this, but a friend of mine had her period and lasted a day and a half.. and is worried that she could be pregnant... but that's not possible if her eggs dropped because she started her period right?
  5. I

    Period of a Pendulum (VERY TOUGH differential equation)

    I have recently taken an interest in the idea that all pendulums of the same length are isochronous, and am currently trying to figure out an equation for the period of a pendulum of a given length. I started out by trying to find an equation for the angular distance the pendulum travels as a...
  6. S

    Floating Block: Period of oscillations

    Homework Statement An oak block of ρ = 0.9 g/cm^3 and dimensions V = 10cm x 20cm x 20cm is floating in water of ρ0 = 1 g/cm^3. The block is slightly pushed into water and then released. Determine period, T, of oscillations. Homework Equations I'm not sure how to derive the set up of the...
  7. P

    Calculate the period of the Pirate ship if it were a pendulum

    Homework Statement Calculate the period of the Pirate ship if it were a pendulum. Homework Equations Sine laws: SinA/a = SinB/b = SinC/c Soh Cah Toa as well for 90 degrees triangles. The Attempt at a Solution http://img517.imageshack.us/img517/3668/scanrj4.jpg I've tried it on there. I...
  8. P

    Solving an Oscillating Block's Period and Speed

    Homework Statement A 500g block is attached to a spring on a frictionless horizontal surface. The block is pulled to stretch the spring by 10cm, then gently released. A short time later, as the block passes through the equilibrium position, its velocity is 1m/s. >A)What is the block's period of...
  9. K

    Find Period of Pendulum's Oscillation with 1-60 Degrees

    Hello, I have never taken a differential equations class. I have this problem that I could really use some help on. Thx Homework Statement A pendulum' motion is the following equation \ddot\theta = (\frac{-g}{l})\sin(\theta)) I need to find the period of oscillations for various starting...
  10. R

    Angular velocity and period of a disc rotating about point on circumference

    Homework Statement Find the angular velocity and period of oscillation of a solid disc of mass m and radius R about a point on it’s surface. Homework Equations ? The Attempt at a Solution This is really giving me trouble because it seems like a SHO problem mixed with a rotational motion...
  11. A

    Pendulum Period with Free-Spinning Disk: How does it differ from a fixed disk?

    Homework Statement Find the period of a pendulum consisting of a disk of mass M and radius R fixed to the end of a rod of length l and mass m.How does the period change if the disk is mounted to the rod by a frictionless bearing so that it is perfectly free to spin? Homework Equations...
  12. A

    Relation of the period of a pendulum

    Homework Statement What is the formula that relates the period of a pendulum on a rotating coordinate system to the angular velocity of the coordinate system? (assume pendulum is in a gravitational field that produces an acceleration equal to the gravitational acceleration on Earth's surface)
  13. A

    Relation of the period of a pendulum

    Homework Statement What is the formula that relates the period of a pendulum on a rotating coordinate system to the angular velocity of the coordinate system? (assume pendulum is in a gravitational field that produces an acceleration equal to the gravitational acceleration on Earth's surface)
  14. P

    Period of a Mass on a Spring in Simple Harmonic Motion

    Multiple force constants/Single mass?: SHM, Spring w/ mass. Homework Statement Kim drives her empty dump truck over a berm (also called a speed bump) at the contruction site. The truck has a mass of 3000kg and the force constant for one of the truck's springs is 100,000N/m (Remember, truck...
  15. J

    Calculating Pendulum Period: A Challenge!

    I wanted to calculate the period of a pendulum withould the small angle approximation. I carried out the calculation and came out with a rather ugly integration which was the same as the one wikipedia had so I assume I did it right. The answer I got was: T=4[root of(L/2g)]*integral of{1/[root...
  16. R

    Change in Pendulum's Period with temperature.

    Hi! I have been racking my brain trying to solve the relationship between the effect of temperature increase and the change in period of a pendulum. I am suppose to prove a relationship, and am given that the relationship is delta(P) = 1/2*alpha*Pinitial where alpha is the coefficient of...
  17. B

    What is the current in the cell during that period?

    Homework Statement If 3.50 x 10^-3 kg of gold is deposited on the negative electrode of an electrolytic cell in a period of 2.99 h, what is the current in the cell during that period? Assume that the gold ions carry one elementary unit of positive charge. (A) Homework Equations I =...
  18. R

    Period of a monocromatic light?

    Homework Statement What is the period of a monochromatic light with a wavelength of 660nm? f=660nm Homework Equations T= 1/f (I think?) The Attempt at a Solution T = 1/660nm The period of this monochromatic light is 0.00152 waves/nm. Firstly, I don't know for sure that the...
  19. T

    Minimum period of rotation and gravity

    Homework Statement Consider a planet with uniform mass density p. If the planet rotates too fast, it will fly apart. Show that the minimum period of rotation is given by: T = (3 pi)^(1/2) ...(G p)^(1/2) What is the minimum T if p = 5.5 g/cm^3? Homework Equations T = 2 pi r...
  20. mbrmbrg

    How Does Cutting a Spring in Half Affect Its Oscillation Period?

    Homework Statement A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k. Particle oscillates as shown in (i) with period T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be : (choose one of the...
  21. S

    Velocity, Period, and Transverse Wave

    Homework Statement Three pieces of string, each of length L, are joined together end-to-end, to make a combined string of length . The first piece of string has mass per unit length mu_1, the second piece has mass per unit length mu_1*4.00 , and the third piece has mass per unit length...
  22. R

    Temperature and orbital period

    Hi everyone, was hoping someone could help me to answer a question: an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun? That is the exact wording of that particular question and that's why I am a little stumped.. it also says...
  23. R

    Temperature and orbital period

    Homework Statement Hi everyone, was hoping someone could help me to answer a question: an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun? That is the exact wording of that particular question and that's why I am a little...
  24. W

    Extreme Period for a Physical Pendulum

    Homework Statement http://img120.imageshack.us/img120/808/periodicemotionhd3.jpg solid, uniform disk of mass M and radius a may be rotated about any axis parallel to the disk axis, at variable distances from the center of the disk If you use this disk as a pendulum bob, what is T(d), the...
  25. M

    What is the Period of Oscillation for a Frequency of 315 Hz?

    The frequency of oscillations of, f, is equal to 315 Hz. What is the value of the period of oscillations, T? I understand that the speed of the wave is related to the wavelength and the frequency according to this: v = w/f = w/T But, how am I to solve for T if I don't know the value of...
  26. O

    Does Amplitude Affect Period?

    Here is a quick question, and it would be nice if you someone could answer yes or no. I need it to do a problem because I am unsure whether it is. The question is: Does amplitude affect the period of oscillation of a spring in simple harmonic motion? I think no because of the equation: T =...
  27. H

    Exploring the Period & Fourier Series of f(x)

    Could someone please help me understanding this. Let f(x) = 0, -2< x <0 and x, 0< x <2 f(x) repeats this pattern for all x a) What is the period of f(x)? b) Is f(x) even, odd, or neither? c) Find the Fourier Series for f(x). a) I found that the period is 2 b) odd c) I'm not even sure...
  28. 8

    Period T & Length: Can the Term in Parentheses be Constant?

    Using Newton’s laws, we could show that for some pendulums, the period T is related to the length and free-fall acceleration g by T=2pi(sqrt l/g) Can the term in parentheses be treated as a constant of proportionality?
  29. M

    What is the period of oscillation in this graph?

    What is the period of oscillation in the screenshot? http://img296.imageshack.us/img296/5296/image12yt4.gif Period is just the time it takes to travel from one point on the graph to the exact same point again in the same direction. Looking at the graph I would guess somewhere around 2.5...
  30. D

    Period for real-life spring experiment

    Hi, I have a question from a lab experiment for an online course. The question states "In a real spring experiment, you wouldn't expect the period predicted by the formula for the period of a harmonic oscillator. What is the reason for this, and the would the actual value be larger or smaller...
  31. L

    Period of a uniform plank with a spring

    Question: A uniform plank of mass m is pivoted at one end. A spring of force constant k is attached to the center of the plank, as shown in the figure. The height of the pivot has been adjusted so that the plank will be in equilibrium when it is horizontally oriented. I_{CM rod} =...
  32. M

    Period of a mass on a spring

    There is a spring with one end attached to a wall and the other end attached to a mass of 1.19 kg. On the other side of the mass is another spring whose other end is attached to another wall. The springs are identical and have a spring constant value of 49.7 N/m. What is the period? I drew...
  33. Amith2006

    Period of oscillation of dip needle

    1)The time period of a dip needle vibrating in the vertical plane in the magnetic meridian is 3 seconds. When the same magnetic needle is made to vibrate in the horizontal plane, the time period of vibration is 3(2)^(1/2). What is the angle of dip of the place? I think in both the cases, it is...
  34. Amith2006

    Time period of oscillation of bar magnet

    1)A thin rectangular magnet suspended freely has a period of oscillation of 4 seconds. If it is broken into 2 halves (each having half the original length) and one of the pieces is suspended similarly. What is the new period of oscillation? I solved it in the following way: Let E1 and E2 be...
  35. P

    What is the period of this function?

    f(x) = \sum_{n=0}^\infty \frac{cos(4^nx)}{3^n} Usually the period T is worked out by doing \frac{2\pi}{w}=\frac{T}{n} where w is the angular frequency and T is the period. n is the function number in the series. But it obviously can't be applied here.
  36. S

    What is the relationship between the period and length of a pendulum?

    I have this question: You are doing some spring cleaning and decide to clean out your house. You want to make a new window in your wall with which to see nature come to life, so you tie a heavy mass to a short string and attach the string to a beam in your ceiling so it can swing freely like...
  37. P

    What is the significance of centripetal force in the period of a pendulum?

    hey guys i think its well know the period of a pendulum is 2*pi*root(l/g) which works fine except!... I've written a small program to model how the bob of a pedulum moves, due to the net forces experienced by it, namely the tension in the wire which is the result of the bobs weight and the...
  38. C

    Find the period of the following function

    I was asked to find the period of the following function: f(x)= mod(sinx)/cosx + mod(cosx)/sinx Since modulus is defined as sqrt(x*x), mod(sinx)/cosx= (sqrt(1-cosx*cosx))/ cosx = sqrt(1/cosx*cosx -1) //Taking cosx into the square root = sqrt(secx*secx-1) = sqrt(tanx) =...
  39. B

    Just watching the users over a period of time

    I notice that we have about a ~10:1 guest:registered user ratio, usually. 471:45 as I type this, in fact. Why don't people register, so we can talk about interesting stuff? =(
  40. B

    Locality and non-locality in period measurement

    consider the Doppler shift formula f=f'gamma(1+betacostheta). (1) the measurements of f and f' are associated with the measurement of time intervals, during which, depending on the scenario we follow, beta and theta could change. authors say that using (1) we make the "locality" assmption in...
  41. quasar987

    Period of simple orbit in central potential

    In Symon's book 'Mechanics', he writes that for a body of mass m and angular momentum L in an orbit that does not intersect itself (i.e. a simple curve), the period of revolution T is related to the area A of the orbit by T=\frac{2Am}{L} Is this exact as he seems to be implying? It seems to me...
  42. A

    Period, the Pendulum and Frequency

    If a pendulum is adjusted so that its frequency changes from 10 Hz to 20 Hz, its period will change from n seconds to what? a. n/4 seconds. b. n/2 seconds. c. 2n seconds. d. 4n seconds
  43. M

    Investigating Factors Affecting Pendulum Period

    Hello can anyone give me any help on this: I am investigating what factors affect the time it takes for a pendulum to make one complete swing?? Me xxx
  44. W

    Period of an electric dipole rotating in an external electric field

    A simple electric dipole in an external magnetic field performs harmonic motion (for small angles between E and L) due to the moments by the forces acting on the respective charges. Assuming there is no system to dissipate energy that is. The mechanic moment is given by p x E and the energy of...
  45. J

    Time Period & Oscillations: Engineer's Best Option

    My question is that going by the definition of time period that is, "the time required to complete one oscillation". Now, if I say the best option for an engineer should be that , the building should not oscillate , am I right? That could happen if the time period of a system is very...
  46. S

    How Is the Pivot Distance Calculated in a Physical Pendulum?

    "A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50 cm mark. The period of oscillation is 5.27 s. Find d." I know that the period for a physical pendulum is T = 2pi * sqrt (I/mgL). I'm really stuck on how to...
  47. L

    Units for Period of Pendulum Formula

    I found the formula for the period of a pendulum: --- T = 2∏√( L / g) T: Time L: Length of Pendulum g: Gravitational Force --- However, I couldn't find information about the units! If somebody could provide me with information regarding this, it'd be greatly appreciated. Thanks :cool:
  48. J

    Find the distance this spot travels in one period.

    Ive been trying this problem for awhile now and I seem to not get it. A hand holding a rope moves up and down to create a transverse wave on the rope. The hand completes an oscillation in 2.5s, and the wave travels along the string at 0.8 m/s. The amplitude of the wave is 0.1m. The frequency...
  49. A

    What is its period in the water?

    i need some help on this problem: A sonar signal of frequency 1.00x10^6 Hz has a wavelength of 1.50mm in water. a) What is its period in the water? b)What is its period in the air? Can someone guide me through the steps in order to arrive to the solution or explain to me how to solve...
  50. P

    Exploring the Orbital Period of Circular Orbits around Black Holes

    Here's an interesting question inspired by a homework probem (not mine) - what is the orbital period (proper time) for someone in a circular orbit around a black hole as a function of the radius of their orbit (Schwarzschild r-coordinate). By setting the derivative of the effective potential to...
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