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. A

    Need to find torque so I can find the period

    Homework Statement A long uniform rod of mass .6 kg is free to rotate in horizontal plane about a vertical axis through its center. A spring with force constant k = 1850 N/m is connected horizontally between one end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel...
  2. J

    Period of vibration with springs

    Homework Statement Two springs, each with unstretched length 0.200 m, but with different force constants k1 and k2, are attached to opposite ends of a block with mass m on a level, frictionless surface. The outer ends of the springs are now attached to two pins P1 and P2, 0.100 m from the...
  3. P

    Determining Mass from Orbital Period and Radius

    Homework Statement What is the mass of a planet (in kg and in percent of the mass of the sun), if: its period is 3.09 days, the radius of the circular orbit is 6.43E9 m, and the orbital velocity is 151 km/s.Homework Equations I'm unsure what formulas to use, though these seem relevant. F=...
  4. C

    Period of oscillations of the disk

    Homework Statement A circular disk of radius R and uniform density is free to pivot about a fixed point P on its circumference. Calculate the period of oscillations of the disk, in the plane of Figure I, when it is displaced by a small angle about its pivot and released. Homework...
  5. P

    Finding the Masses of a binary star using the distance, angle and orbital period

    Homework Statement Two stars are in a circular visual binary system. The orbital period of the binary is 30 years. The distance to the binary is 20 parsecs. The angular radius of the orbit of each star is 1". What are the masses of the two stars? Homework Equations I am assuming that...
  6. P

    Amplitude and period harmonic motion

    Homework Statement Im confused about what exactly is the period and amplitude of a spring... Is the period -during ocillation-from top to bottom back to top? or vice versa. and is the amplitude 1/4 of the period? Homework Equations The Attempt at a Solution
  7. M

    Period of Oscillation in a 1D Linear Spring

    Homework Statement The question I have a one-dimensional linear spring with spring constant E. The tension is given by σ = Eε, epsilon = strain.. The left side of the spring is held fixed, the right side has a mass m attached to it. We can neglect gravity. What is the natural oscillation...
  8. P

    Period of oscillation for a mass on a spring

    Why does the period of oscillation for a mass on a spring depend on its mass? (while in other situations, like a simple pendulum, the mass seems to be unimportant)
  9. J

    Will two clocks be synchronized after a period of time dialation?

    As 2 time pieces are moving relative to each other in a non accelerated reference frame, they will both see the other as slow. As time goes on, the amount of observed error in the other clock will continue to grow greater and greater. Let's say that after a while both clocks are 10 hours ahead...
  10. M

    Natural oscillation period for elastic spring

    Homework Statement I have a linear elastic spring with spring constant E, The spring is mass less, and is held fixed at the left terminal and has a mass m attached on the right terminal. We can neglict gravitational forces. Find the natural oscillation when the tension sigma = E*epsilon...
  11. E

    How to determine the time period.

    Suppose I found a time machine and clicked the 'go' button, and landed up sometime in the future. I then meet a bunch of humanoid creatures and manage to communicate with them. I ask them what year it is, but they just tell me it's 1050 after the death of the 'mighty one', indicating that no...
  12. K

    The period of a pulsating star with respect to the star

    Homework Statement A pulsating star has a period of 3 sec as seen from the rest mass frame of the star. What is the period of the star as measured by an observer traveling 2.4 x 108 m/s with respect to the star? Homework Equations The Attempt at a Solution
  13. B

    Period of satellite in circular orbit

    Homework Statement Given: G = 6.67259 × 10−11 Nm2/kg2 The acceleration of gravity on the surface of a planet of radius R = 4190 km is 6.5 m/s2. What is the period T of a satellite in circu- lar orbit h = 14120.3 km above the surface? Answer in units of s. Homework Equations...
  14. F

    Drawbacks to use the period of a pendulum as a time standard?

    what are the drawbacks to use the period of a pendulum as a time standard?
  15. M

    Amplitude and period of a spring

    Homework Statement A 340 g mass is attached to a vertical spring and lowered slowly until it rests at a new equilibrium position, which is 30 cm below the spring's original equilibrium. The spring is then set into simple harmonic motion. What is the period of the motion? Homework...
  16. X

    Problem: Orbital Period - eclipse time - Illumination time ?

    Problem: Orbital Period - eclipse time - Illumination time ?? Homework Statement An educational institute has decided to launch a small satellite having mass and volume of CubeSat specifications i.e. mass of 1.33kg and volume of 10 cm cube. Due to some launch constraints, there are three...
  17. C

    Calculating the Period of an Earth Satellite

    Homework Statement What is the period of an Earth satellite orbiting at a height of 1.80 x 10^7m above the surface of the earth? Use G = 6.67 x 10^-11 N.m2 Kg-2 Homework Equations T = SQRT 4*pi^2 * R^3/G*Mass of the earth The Attempt at a Solution I added the Earth mass and the...
  18. L

    What exactly is the difference between frequency and period?

    I am on the "sound" chapter in my Conceptual Physics class but I just wanted to know the best way to explain in layterm: what is the difference between frequency and period?
  19. B

    Calculating Orbital Period of Satellites

    How do you calculate the orbital period of an object, eg. a satellite, if the only known values are the radius of the orbit and the mass of the central object?
  20. r-soy

    What is the formula to use when found to time period and frequency the formula not w

    A sconds pendulum taks 1 s to move from one extreme to the other what is time period ? what is frequency ? what is the formula to use when found to time period and frequency the formula not written in our note
  21. P

    Period of non trigonometric functions

    is there any definite way of finding the period of non trigonometric functions? can we use f(x+t)=f(x) and solve for t from this equation?
  22. P

    Period of sin4(x) + cos4(x): Find the Answer Here

    i have to find the period of sin4(x) + cos4(x) i know that the period of both the functions individually is pi , but i am unable to find the period of sum of these two functions.. pl. help!
  23. nukeman

    *Quick question: When is VENUS visable in the sky in this period ?

    Given the following: Its a polar graph. I am trying to figure out when is VENUS visable in the sky during this period (dawn, dusk, noon, midnight) ? How do you figure that out? Also, Venus is red, Earth is green on the chart. Thanks!
  24. Q

    Period of a sum of cosine signals

    Homework Statement Find the period of the signal x(t) = 2 + 4cos(40Pi*t) + 3cos(60Pi*t) + 4cos(120Pi*t). Homework Equations The Attempt at a Solution The fundamental frequency (fo) = 10 Hz, since that's the greatest common factor of all the frequencies of the cosine signals. So...
  25. K

    Orbital period and speed of a space shuttle in flight

    Homework Statement The space shuttle is in a 290-mile-high orbit. What is the shuttles orbital speed? Homework Equations v=√GM/R+h The Attempt at a Solution Period: Me= 5.98x10^24kg Re= 6.38x10^6m H= 290miles * 1609m = 466610m v= √(6.67x10^-11 N)(5.98x10^24 kg)/ (6.38x10^6...
  26. L

    What is the Orbital Period of Eris, the Tenth Planet?

    Homework Statement We will compute the orbit of Eris, the infamous \tenth planet" that caused Pluto to be demoted to \dwarf planet" status. Eris (also called 2003 UB313 in the textbook) has a semimajor axis a = 68:048 AU and eccentricity e = 0:4336 based on the best current observations...
  27. L

    Is periodic but has no period ?

    Homework Statement Today i came across this one question where i had no clue of how to proove. it says f(x) = { 1, x rational ......{ ---------------------is periodic but have no period. (Proove it/Show it) .....{ 0, x irrational ignore the dots and dashes., just for indentation...
  28. C

    Mass vs. Period: Should I Convert Grams to Kg?

    Homework Statement I did an experiment of mass vs. period and I got the mass in (g)rams and the period in seconds. My question is, do I have to convert the mass from grams to kilograms? Homework Equations N / A The Attempt at a Solution N / A
  29. D

    Gradient of Wavelength vs Period Graph?

    We've got a table of periods (in seconds) and their corresponding wavelengths for creating resonance in a closed pipe. I've been told that plotting a graph of period (on x axis) vs wavelength, and finding the gradient of that linear line will tell me the speed of sound in air. I can do that...
  30. C

    Calculating Halley's Comet Period and Next Approx. Viewing Date

    Homework Statement Halley’s Comet passed perihelion on 9 February 1986. It has a semi-major axis a = 17.96 AU and eccentricity e = 0.9673. (One astronomical unit (AU) is the distance between the Earth and the Sun.) Calculate the period of Halley’s Comet and the approximate date on which you...
  31. A

    Finding the period of a differential equation?

    find the period of the solution to this differential equation: 2y'' + 4y' + y = 0 I used the complementary equation 2r^2 + 4r + 1 = 0 and then used the quadratic equation to factor that into 2 roots of -2 + 2^(1/2) and -2 - 2^(1/2) and I know that 2 real, distinct roots means there is no...
  32. M

    Period 0<time<0.5 the MOSFET is OFF

    Hi all, I have been looking at this question and I am having trouble sketching the wave forms. I know that during the period 0<time<0.5 the MOSFET is OFF the diode is ON i = 4amps v =0 id=0 VDS=? Then during 0.5<time<1 period the MOSFET is ON the diode is OFF. i=0 v=...
  33. T

    Calculating time period in vertical circular motion

    1. 1. Homework Statement : How to calculate minimum time period 't' required to complete a vertical circular motion by a cone filled with water, so that the water doesn't fall?2. Homework Equations : v^2 = gR * [ 3 + 2 cos (theta) ] obtained by applying law of conservation of energy. 3. 3...
  34. Z

    Simple proof for arbitrary period

    if f(t) has period T then f(kt) has a period T/k. What is a simple proof of this.
  35. S

    Deriving the Rotation Period of a Planet from Density

    Homework Statement It's a high school physics question that I remembered and need to understand for curiosity's sake. I'm stating the problem in my own words, so it is likely that I may be asking a wrong question. Here it is nonetheless: Derive an expression that shows that the major variable...
  36. B

    Causes a superconductor to lose energy after a finite period of time

    Hi Please explain Flux Motion Resistance in Superconductors which causes a superconductor to lose energy after a finite period of time. (Theoretically it shouldn't)
  37. G

    What is the equation for calculating orbital period?

    Ok just a quick question trying to work out the orbital period of an asteroid around the sun which has an orbital period 4times that of the Earth which is 1.5*10^11m i worked out the radius of the asteroid to be 6*10^11 but can't find the equation for the orbital period. Does anyone know it...
  38. A

    Natural Period of Vibration for Mass with Torque

    Homework Statement A body of arbitrary shape has a mass m, mass center at G with a distance of D and a radius of gyration about G of K. It is hanging, and pinned at the top. If it is displaced a slight amount of angle P from it's equilibrium position and released, determine the natural period...
  39. C

    Prime division & repetition period

    Something odd i noticed while playing around with primes. We have the set of prime numbers P and a p ∈ P. Define a function f:Q → N that will give the period of the repetition in the decimal expansion of some number r ∈ Q. 1) ∀ p ∈ P: ∃ n ∈ N: ∀ q ∈ P, q < p: f(q/p) = n. So n is...
  40. C

    Orbital radius vs period question

    Homework Statement a satellite has period T and orbital radius R. If you wish to increase the period to 8T what must the new orbital radius be? (answer is 4R, I just don't know how to get it) Homework Equations The Attempt at a Solution
  41. C

    Orbital radius vs period question

    Homework Statement a satellite has a period of T and orbital radius R. If you wish to increase the period to 8T what must the new orbital radius be. (answer= 4T, I just don't know how they got it) Homework Equations R1 cubed/ T1 squared = R2 cubed/ T2 squared The Attempt at a...
  42. S

    Planetary Motion, calculation of orbital period

    Hi everyone, I'm really confused with a particular question: Homework Statement A space shuttle orbits the Earth at 6720 km from its centre. The gravitational field strength is 8.9N/kg. Calculate the shuttle's orbital period in minutes... Homework Equations g=4pi^2...
  43. A

    Explosion/expansion isn't there a period of acceleration

    Forgive me if this is a stupid question. In any explosion/expansion isn't there a period of acceleration before slowing? Could the universe still be in this accelerating period? What would that do to the size of the big bang?
  44. M

    Find the period of the particle and the amplitude

    Homework Statement A particle moves with SHM through two points p and q 1.2 metres apart. It takes 3 seconds to move from p to q and 3 seconds to move from q to q, i.e. passing q the next time. Find the period of the particle and the amplitude. Homework Equations x = ACos(wt + a) v...
  45. M

    Finding Common period of multiple waveforms

    Hi Everyone, First time poster, longtime viewer of these forums. Love the help that the community gives. Just so you know where I am coming from: I am trying to calculate the average power by first calculating the total energy of my system. Specifically I am looking at the energy...
  46. M

    Time period measured in double slit experiment

    In the standard double slit experiment, what time period is measured between the emission (t=0) and detection (t=T) of a single photon? I ask because clearly the photon does not take a single, well-defined path, as it would if it were a classical particle. Suppose that I set up an experiment...
  47. S

    Does damping of period affect the period?

    Hi there, Sorry typo in the title and I can't figure out how to change it! I am just wondering if anyone can help me - does damping (drag) increase the period of a pendulum? As opposed to if it was in a vacuum? I have been trying to figure this out for some time - I know that drag is dependent...
  48. Q

    Period of a Pendulum and moment of inertia

    Homework Statement A holiday ornament in the shape of a hollow sphere with mass 1.0×10−2 kg and radius 5.0×10−2 m is hung from a tree limb by a small loop of wire attached to the surface of the sphere. If the ornament is displaced a small distance and released, it swings back and forth as a...
  49. T

    Calculating Work and Power in a Given Time Period

    Homework Statement a) How much work must you do to push a 13.0 kg block of steel across a steel table (\mu_{k}=0.6) at a steady speed of 1.30 m/s for 8.30 s? b) What is your power output while doing so?Homework Equations W=\vec{F}*\Delta S F_{f}=u_{k}*n F=ma The Attempt at a Solution First I...
  50. H

    Integral of f times cosine, as period of cosine goes to zero.

    Homework Statement The problem is as follows: Let f be a real valued function that is Riemann integrable on [a,b]. Show that \lim_{\lambda \rightarrow \infty} \int_{a}^{b} f(x)\cos(\lambda x)dx = 0 . Homework Equations I am freely able to use the fact that the product of...
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