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. L

    Investigating the Relationship Between Max Theta and Period in a Simple Pendulum

    I am working on my lab report for the simple pendulum and we did an experiment where we increased the max theta in increments of 5 degrees, while keeping the length of the sting the same. We started from 5 degrees and went to 45 degrees. For some reason the periods seem to increase slighty as...
  2. R

    Finding Period with Double Stars

    Homework Statement A certain double star consists of two identical stars, each of mass 3.0E30 kg, separated by a distance of 2.0E11 m between their centres. How long does it take to complete one cycle? Give your answer in seconds. Homework Equations Gm / 4π^2 = r^3/ T^2 (I'm...
  3. O

    Period of Mass on Spring: Amplitude & Period

    Homework Statement A mass oscillating on a given spring has a period of 2s. The spring is now stretched to have an oscillation amplitude that is twice its original amplitude. Which of the following is true? A The period is 0.5 s. B The period is 1 s. C The period is 2 s. D The...
  4. K

    How Do You Calculate the Period of a Spacecraft's Elliptical Orbit?

    Homework Statement Consider a spacecraft in an elliptical orbit around the earth. At the low point, or perigee, of its orbit, it is 400 km above the Earth's surface; at the high point, or apogee, it is 4000 km above the Earth's surface. 1. What is the period of the spacecraft 's...
  5. C

    Period of Oscillation for a Standing Transverse Wave on a Flexible String

    A snapshot of a standing transverse wave on a flexible string is taken when the displacement is at a maximum showing two trough's and two peaks(1.5 waves). The string is 1.52 m long with tension 4.00 N. The total mass of the string is 10.81 g. Find the period of the oscillation. I found the...
  6. A

    Period of the Earth a long time ago

    Homework Statement Find the period of the Earth 540,000,000 years ago.Homework Equations \frac{dL}{dt} = -2/5 MR^2 \frac{2 \pi}{P^2} \frac{dP}{dT} = -2/5 MR^2 \frac{2 \pi}{P^2_{t}} \left(\frac{dP}{dT}\right)_t \par \left(\frac{dP}{dT}\right)_t = .0016 sec / century \par P_t = 24 hours The...
  7. O

    Period of Orbit Homework: Calculating Satellite Revolution Time

    Homework Statement What is the period of revolution (in minutes) of a satellite orbiting Earth at 161000 m? Homework Equations T^2 = (4*pi*r^3)/(GM) The Attempt at a Solution Well, I plugged in the values, and got T = 5250.925844, but that's not right. T, would come out as seconds...
  8. J

    Transverse wave equation period

    A transverse wave on a rope is given by y(x, t)= (0.750\; {\rm cm})\, \cos ( \, \pi [(0.400\;{\rm cm}^{ - 1})x+(250\; {\rm s}^{ - 1})t]) Find the period. This should be simple, but I keep getting the wrong answer in Mastering Physics. I can't find any explanation in my book, and it's...
  9. D

    Finding the period of this trig function

    f(x)=sin3x*cos3x i am looking for the period of this function, what i did, and now i see that it is wrong was compared it to zero and looked for any time that sin3x=0 or cos3x=0 this really did give an answer for every time the function reached 0, but did not take into account that...
  10. L

    Damping effect of swinging pendulum affect period?

    Lets say i have a magnetic pendulm, (basically a barmagnet suspended from a with a string tabletop) and a conductor at the bottom. The conductor will ofcourse have Foucault currents generated in it, and this due to conservation of energy, will slow down the swinging of the pendulum, reducing...
  11. D

    Find the lowest period for the following

    f(x)=cos2x so what i am looking for is the smallest x that will bring me back to my same answer, correct,,, f(0)=1 now i can see that since we have a sqared function, and cos(pi)=-1, every time i reach pi, 2pi 3pi 4pi... i will have the same answer therefore T=pi is this correct...
  12. ShayanJ

    The period of trigonometric functions

    Hi everyone Could you give me a way to calculate the period of every trigonometric functions? thanks
  13. M

    Astronomy - rotation period of planet and wind speeds

    Homework Statement assume that the rotation period of saturn at the equator, very deep in the atmosphere is 10 hrs. higher in the atmosphere, the equatorial winds blow west to east at 250 m/s. What would be the rotation period of this higher level in the atmosphere? also know - maximum...
  14. Helios

    What is the synodic period of Mercury?

    What is the synodic period of Mercury? What is the average synodic period of Mercury? I have combed the internet. Some sources use a number around 115.877484 days and they seem sure of themselves. I don't own astronomy references. Help please
  15. J

    How Does Temperature Affect the Period of a Pendulum?

    Homework Statement A simple pendulum uses a steel wire as the string. The length of this wire is 1.4 m at room temperature. If the temperature is increased by 11.9 degrees C, the length of the wire increases by 1.69 mm . What is the change in period of the pendulum? Homework Equations...
  16. M

    Calculate Radius & Period of Revolution of Doubly Charged He Atom

    Homework Statement A doubly charged helium atom whose mass is 6.6 \times 10^{ - 27} {\rm{kg}} is accelerated by a voltage of 2800 V. What will be its radius of curvature if it moves in a plane perpendicular to a uniform 0.370 -T field? What is its period of revolution?Homework Equations F=qvB...
  17. S

    Period of oscillation of spring system

    1. Question A system consists of two blocks, each of mass M, connected by a spring of force constant k. The system is initially shoved against a wall so that the spring is compressed a distance D from its original uncompressed length. The floor is frictionless. The system is now released with...
  18. Z

    Finding Kelper's Constant with only radius or period given.

    Homework Statement I'm given a chart that states the r average and T in Earth days for the moons of Uranus and I have to find the Kepler's constant for the last four moons, which only gives me either the radius or period.. I am confused. How can I find K with only r or T? I need at least the...
  19. E

    The period of circular motion

    Homework Statement Alpha particles (charge= +2e, mass= 6.68*10-27kg) are acclerated in a cyclotron to a final orbit radius of .30 m. THe magnetic field in the cyclotron is .80 T. The period of circular motion is? Homework Equations f=1/T F=qvbsin\alpha There might be more...
  20. E

    Time dilation: period of a clock

    Relevant equations t' = t * sqrt(1 - v^2/c^2), where t' is the proper time interval, and t is the measured time interval in another reference frame. Homework Statement / Q: A spaceship is moving past us at a velocity of v = 3c/5. If, in our frame of reference, we measure a time...
  21. J

    Adding waveforms, the period

    after doing several problems, i keep seeing that when you add the waveform of the fundamental with its higher harmonics, the period of the summed wave is equal to the period of the fundamental wave. Could someone explain conceptually why this happens? that would be much appreciated!
  22. N

    Discrete mapping and period doublings

    Homework Statement Hi all. I am given the following discrete mapping: x_{n+1}=f(x_n)=x_n+r-x_n^2 for r>0. Objective: Find the r, where a period doubling takes occurs. Attempt: First I find the fixed points: These are x=-\sqrt{r} (which is unstable for all r) and x=\sqrt{r} (which is...
  23. B

    Pendulums ~ period of oscillation

    Homework Statement A pendulum is made of 2 disks, each of mass M and radius R separated by a massless rod. one of the disks is pivoted through its center by a small pin. The disks hang in the same plane and their centers are a distance L apart. Find the period for small oscillations...
  24. M

    Simple Pendulum Period Calculation for Different Conditions

    Homework Statement A pendulum has a period of 1.8 s. Homework Equations Its length is doubled. What is its period now? The original pendulum is taken to a planet where g = 16 m/s2. What is its period on that planet? The Attempt at a Solution T=2pi sqrt(L/g) 1.8=2pi...
  25. J

    Calculating satellites´ period of revolution

    Homework Statement Earths´ satellite orbits 4200km above Earths surface. Count satellites´ trajectory circle-shaped and calculate satellites´period of revolution. The Attempt at a Solution I added the Earths´ radius to the 4200 km, which represents the orbiting attitude and then my mind...
  26. T

    Calculating the Period of a Planet Orbiting the Sun

    Homework Statement A planet moves in an elliptical orbit around the sun. The mass of the sun is M_s. The minimum and maximum distances of the planet from the sun are R_1 and R_2 , respectively. Using Kepler's 3rd law and Newton's law of universal gravitation, find the period of...
  27. N

    Unavailability/probabilities over a period of time

    Hey, can anyone give me some help? I'm trying to calculate the time unavailable of a system due to a component failure over a certain period of time. I know the probability of failure of this component, the time to be considered (assume 1 year) and how long the component is unavailable for...
  28. E

    Frequency & Period: Is 1/29000 Correct?

    Homework Statement If I have a frequency of 29k Hz, then the period is 1/29000, which is 3.44 * 10^-5 second Is this correct? Homework Equations The Attempt at a Solution
  29. J

    Angular frequency, phase velocity, and period

    Homework Statement Given: angular frequency=2000pi phase velocity=320m/s period=? unknown Homework Equations f=w/2pi; w=omega. T=1/f. phase velocity = lambda/T The Attempt at a Solution i don't know what the sgnificance of the phase velocity is. this is because from 1/T = w/2pi, i...
  30. X

    Solving the Astronauts' Orbital Speed & Period Around the Moon

    Hey guys, I got the following problem. It seems east, btu I still have no idea how to get started on this one:frown:
  31. B

    Pendulum lab relationship between straight-line equation and period equation?

    pendulum lab... relationship between straight-line equation and period equation? hello. i am really puzzled! on my pendulum lab i have to compare the period equation to the straight line equation, and i must know what part of the period equation represents x? y? and m(slope)? please help if...
  32. R

    Sputnik's period around the earth

    Homework Statement Sputnik I, the first artificial satellite to circle the planet (October 1957) had a mean orbital radius of 6953 km. Compute its period Homework Equations How do I compute the period? The Attempt at a Solution I thought that the radii of the sputnik could be...
  33. J

    Period of a mass oscillating on a spring

    Homework Statement The period of a mass m oscillating on a hookian spring of negligible mass. Homework Equations F = -kx The Attempt at a Solution I'm using x in place of ∆x for convienance. F = -kx dv/dt = -kx/m ∫vdv = -k/m∫xdx v^2 = C - k(x^2)/m: Placing the...
  34. D

    Mass of a star given orbital radius and period

    Homework Statement In recent years, a number of nearby stars have been found to possesses planets. Suppose, the orbital radius of such a planet is found to be 4.3 times 1011 m, with a period of 1080 days. Find the mass of the star. Homework Equations ? The Attempt at a Solution I...
  35. T

    Pulsar Radius from its rotational period

    Homework Statement A pulsar emits bursts of radio waves with a period of 10 ms. Find an upper limit to the radius of the pulsar. Homework Equations Not Sure The Attempt at a Solution Can anyone help with this, I cannot see how the period will help tell you the upper limit to the...
  36. J

    Finding the period of oscillation of a u-tube w/ water (almost solved)?

    Homework Statement Using the energy method( setting potential energy= kinetic energy) show that the natural period of oscillation of the fluid in a u-tube manometer is t=2PI(l/2g)^(1/2) where L is the length of the fluid column. 2. The attempt at a solution So as you can see I do not...
  37. J

    Period of oscillation of a rocking semi cylinder?

    Homework Statement a thin rectangular plate is bent into a semicircular cylinder, dertermine the period of oscillation if it is allowed to rock on a horizantal surface. The Attempt at a Solution So I can figure out the rest of the problem if I know what the moment of inertia of a half...
  38. C

    Linear Simple Harmonic Oscillator: period a direct linear proportion to mass?

    If a mass that hangs suspended vertically from a spring is increased, then won't the period increase as a direct linear proportion? (Because the larger mass has a greater inertia and will require a larger force and longer time to change the direction of motion on each oscillation?) Some...
  39. S

    Calculating the Synodic Period Between Earth and Mars

    Homework Statement Homework Equations From Wikipedia: E = the sidereal period of Earth (a sidereal year, not the same as a tropical year) P = the sidereal period of the other planet S = the synodic period of the other planet (as seen from Earth) The Attempt at a...
  40. T

    How can i tell a period of a function involving sin and cos

    Homework Statement Ok so we started Fourier Analysis in circuits. How can i tell the Period of a function that's let's say sin(2t)+3cos(5t) something like that . Any help or url's that have information on this
  41. S

    How to measure the rotation period of the moon?

    anyone know how scientists measure the rotation period of the moon? thank you!
  42. B

    The Oscillation Period of A Rod Pivoted at One End

    Homework Statement The figure shows a 230 g uniform rod pivoted at one end. The other end is attached to a horizontal spring. The spring is neither stretched nor compressed when the rod hangs straight down. K=3.0N/m and the length of the rod is 0.20m. What is the rod's oscillation period...
  43. V

    So, in a way, they are inverse of each other.

    Homework Statement my question is simple and doesn't really fit the template. Is wavelength and period of a wave not the same thing?
  44. S

    Finding an oscillator's period with a dataset in Mathematica

    Homework Statement I have a dataset of an oscillator with 51 measurements, I uploaded it http://home.orange.nl/~kuip3148/osc.dat . It's in the form of {time, position}. I have to find the period of this oscillator in Mathematica. Homework Equations I have to use the NonLinearRegress...
  45. T

    Circular Motion: Radial Distance vs. Period of Rotation

    Homework Statement This is not like a wheel where distance does not matter because a particular point will pass at the same time no matter how far down or up the wheel. In this experiment, I used a string attached to a stopper (at the top) with a washer (on the bottom). There was a glass...
  46. T

    Calculate the Moon's Synodic Period from a graph

    Homework Statement Calculate the Moon's Synodic Period Homework Equations N/A The Attempt at a Solution I am supposed to plot a graph of Time(y-axis) against Phase (x-axis), where phases is not a sin curve but a straight line, because we are adding upwards, ie from a new moon to...
  47. L

    Using period to find the equation of a function

    Homework Statement The period of f is 5. If f(1)=4, f(2)=5, and f(4)=-2, the value of f(7) is: Homework Equations The standard format for trig functions is A\sinB(x-C)+D A is the amplitude, \frac{2\pi}{B} is the period (for sin or cos functions), C is the phase, and D is the vertical...
  48. G

    What is the period of orbit for a space station placed 30 000km from the Earth?

    Homework Statement A space station is placed in an orbit of radius 30 000km. What is the period of the station's orbit around the Earth? (I previously worked out the period of rotation of the space station as 22 secs but I didn't think it was relevant to this part of the question besides...
  49. G

    Calculating the Period of an Orbit around Earth

    Homework Statement A space station is placed in an orbit of radius 30 000km. What is the period of the station's orbit around the Earth? (I previously worked out the period of rotation of the space station as 22 secs but I didn't think it was relevant to this part of the question besides...
  50. I

    Orbital period questions continued

    Homework Statement A 9.0x10^3kg satellite with an orbital radius of 3.20x10^7m orbits the Earth at an altitude of 2.56x10^7m. What is the orbital period?Homework Equations ΣFc = mac Kepler's third law equationThe Attempt at a Solution For this question I know that it is asking me to find the...
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