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. LCSphysicist

    Find the period of a pendulum consisting of a disk of mass M

    I did the first step pretty well, and the answers match, but i don't understand why in the second case the period changes.
  2. LCSphysicist

    What is the Period of a Near Rectilinear Orbit with Zero Minor Axis?

    I made and understood the letters a b c, but i don't understand the letter d. I thought it would be the double of the answer C [], but seems that's not right, since the book says the answer is two times the answer of B [ two times this[ ]
  3. S

    Distance traveled and period of a mass - spring - pulley system

    1. How will the motion of M be? I assume wire S is inelastic so will M move downwards but not in straight line? (I mean M moves downwards but because the left side of pulley is connected to S, it will be static and the right side of pulley can go down along the extension of the spring so its...
  4. H

    Calculating Period of System with Masses, R & dX

    Here is the picture on the system. I have to find the period (T). The masses, R and dX is given. The systam at first is at rest, then at t = 0 we pull the plank to dX distance from its originial position. In the thread...
  5. LCSphysicist

    Period of Pendulum: Spinning Disk Forces & Inertia Moment\

    If the bottom disk is free to spin, will it necessarily spin? all the forces in this disk don't produce a torque. I don't know why we disregard it's inertia moment when it is free to spin (It's intuitively set, but I can't see it mathematically) :\
  6. Like Tony Stark

    Calculate the period of a ball bouncing between two walls

    For A) I just have to calculate the time taken to travel from the middle to the wall and multiply that number by 4, since it travels the same distance 4 times. ##t=\frac{x_0}{v_0}## B)The energy is an exponential function ##T(n)=T_0.(1-\frac{2}{100})^n## So ##v^2={v_0}^2.(1-\frac{2}{100})^n##...
  7. B

    Time period of a mass spring system

    I have attempted to draw a sketch of this but can't see how the data they gave me help to find time period This is what value I have ended up getting but I believe is wrong Much appreciated for any help!
  8. H

    I Multi period portfolio risk/return

    I saw an interesting table in Asset Allocation (Roger Gibson) showing the distribution of portfolio annualized returns for a hypothetical portfolio with mean of 5.8% and standard deviation of 6%. It shows the return percentiles for various holding periods from 1 to 25 years. Can this...
  9. Kaushik

    Time period of a periodic function

    Consider the following periodic function: ## f(t) = \sin(ωt) + \cos(2ωt) + \sin(4ωt) ## What is the time period of the above periodic function? The following is given in my book: Period is the least interval of time after which the function repeats. Here, ##\sin(ωt)## has a period ##T_o =...
  10. Saptarshi Sarkar

    Time period of an object traveling in an elliptical orbit

    I know that the angular momentum of the particle orbiting in an elliptical path is constant and due to which the particle speeds up near the foci when r is small. But, I cannot figure out how to calculate the time period of rotation. I can do the same for an ellipse by taking mv²/r = central...
  11. J

    MHB Amplitude, Period, frequency and phase angle

    HELP! totally lost and confused with this question: A machine is subject to two vibrations at the same time. one vibration has the form: 2cosωt and the other vibration has the form: 3 cos(ωt+0.785). (0.785 is actually expressed as pi/4) determine the resulting vibration and express it in the...
  12. almcc0418

    Other In a period of change and needing advice....

    I'm currently an AEMT on track to go to Paramedic school. While I still love EMS and intend to stay in the field for as long as it suits me: I still feel myself pulled to studying physics. I've always been drawn to the field since high school. I'm not the best at math but I'm no stranger to...
  13. Prabs3257

    Change in the time period of a pendulum

    I tried taking log and then diffrentiate the standard equation for time period of a pendulum but i am not getting the correct answer
  14. tanaygupta2000

    What is Kepler's Second Law and How Does it Relate to a Planet's Time Period?

    By using the above formula I am getting value of time-period T as 6.757*10^6 hrs. But the answer given is 1.7 - 1.8 hrs.
  15. H

    Question about the bond MO's for diatomic early 2nd period elements

    So this question is about the bond molecular orbital diagrams for elements in the 2nd period, before O. When the diatomic bond forms, the two pi 2p* orbitals are shown lower in energy than the sigma 2p*, uptil we get to O2. I want to understand why this is? From what I know, a sigma bond...
  16. BiggestAfrica

    Gravity problem: determining the period of a satellite in Earth orbit

    Hi! This is a problem from my physics 1 high school course. I've tried using the first and third equations to determine period (answer of 8326.9544s.), however that was incorrect and I never even touched G. I'm not sure where to go from here at all. Any help is appreciated!
  17. Saptarshi Sarkar

    Time period of oscillation of charge in front of infinite charged plane

    I tried to calculate the time the charged particle will take to reach the plane using the a and using d=1/2at² and found the t to be equal to root(4εmd/σq). I guess the time period of oscillation will be double of t (by symmetry), i.e. 2root(4εmd/σq). I don't know if this is correct.
  18. U

    Derivation of the oscillation period for a vertical mass-spring system

    I understand the derivation of T= 2π√m/k is a= -kx/m, in a mass spring system horizonatally on a smooth plane, as this equated to the general equation of acceleration of simple harmonic motion , a= - 4π^2 (1/T^2) x but surely when in a vertical system , taking downwards as -ve, ma = kx - mg...
  19. J

    Power output from a falling masss over a time period

    How did you find PF?: youtube [Moderator: moved from new member intro forum]How did you find PF?: youtube i need a falling mass over time /joules per kilo over 1hr time also need to know how to figure gearing to maintain fall over time in regards to a set resistance such as a 5 kw alternator
  20. ColoradoGrrrl

    Circular Motion: Write expression for the period in terms of r and g

    I'm not sure if I'm doing this right as far as coming up with the equation they are asking for. I feel the question is poorly worded and the formatting makes their equation notation difficult to understand. Any insight would be very helpful. This is my work so far:
  21. Like Tony Stark

    Finding the period of a pendulum in motion along a curve

    I was solving problems about the period of a pendulum inside an elevator. They're all the same. If the elevator accelerates upwards you have that the period is shorter and it's longer if the direction is downwards. But I tried to solve something more difficult and I thought about a pendulum...
  22. zzzriprip

    Uncertainty of an oscilloscope frequency, read from the period

    Hi, I am unsure of what uncertainty to get, so here is my full question: I used the CRO for an experiment, and since what I need is frequency, I read the period, so for the uncertainty of the period, it is the smallest division divided by two. So if my uncertainty for period is 0.001s, then what...
  23. A

    Finding the Position(s) of Particle Oscillation

    My first impression was that since the external force was constant it wouldn't make any change on the period of oscillation of the system. But on further thinking I found that if I were to only consider the one dimensional oscillation of the particle then the component of force along the string...
  24. EEristavi

    Universal Gravitation - calculating orbital period of satellite

    I didn't use Kepler's 3rd law and this may be the reason I have a wrong answer. However, I want to know: where I make the mistake. ## ma = \frac {G M m} {R^2}## ## R = (\frac {G M} a)^{1/2}## ##a = \frac {v^2} R## ##V^2 = a R = a (\frac {G M} a)^{1/2} = (G a M)^{1/2}## ##V = (G a M)^{1/4}##...
  25. CivilSigma

    Finding 50-Year Return Period Maximum Temperature

    Problem Statement: I obtain monthly maximum temperature values for the last 30 years, and I fit the data to a statistical model. Now, I want to find the 50-year return period maximum temperature. Relevant Equations: P(X>x) = 1/R I was having a discussion with my "Prof" for one of my classes...
  26. caters

    What is the period of this binary orbit?

    Okay, so let's simplify things and look at the ideal case, where the 2 masses are the same. Well, this gives us a sine wave pattern to the orbital velocity. Consequently, the acceleration would follow a cosine wave since the derivative of velocity is acceleration and the derivative of sine is...
  27. atim

    Finding period of balls attached with spring

    Which formula do I have to use? and why?
  28. D

    How to find the period of small oscillations given the potential?

    I first found the equilibrium points taking the derivative of the potential. ##U'(x)=U_0 a\sin(ax)##, and the equilibrum is when the derivative is 0, so ##U_0 a\sin(ax)=0## so ##x=0## or ##x=\pi/a##. Taking the second derivative ##U''(x)=U_0a^2 \cos(ax)## I find that ##x=0## is a minimum point...
  29. R

    Frequency to temporal period conversion

    I am working with signals that look like the following. The curve has the same form in both frequency and time domain. I am trying to calculate the ratio of two distances: The distance between two adjacent red "x"s (known as the free spectral range (FSR)). The distance between two adjacent...
  30. R

    B The period of a composite wave

    I am working with a simulation which generates multiple identical functions that overlap differently (i.e., they are generated with randomly different phases from each other). When I calculate the composite wave, the shape of the combined wave will differ depending on the relative phases of...
  31. D

    A position of stable equilibrium, and the period of small oscillations

    I tried by taking the derivative of the potential to find the critic points and the I took the second derivative to find which of those points are minimum points. I found that the point is ##x=- a##. I don't understand how to calculate the period, since I haven't seen anything about the harmonic...
  32. Shakattack12

    Relative Refractory Period of Action Potentials

    Hello, Quick question on the relative refractory period in neurons. I understand it is caused by the slow closing of voltage gated K+ channels, which leads to hyperpolarisation. This means a larger than normal stimulus is required to bring the membrane to threshold. However, after reading my...
  33. R

    Finding the period of the satellite's orbital motion

    Homework Statement I want to find the period of the satellite. Homework Equations mg = mv^2/r The Attempt at a Solution I derive the equation mg = mv^2/r v = sqrt(gr) v = ωr and ω = 2π/T T = 2π/ω = 2πr/v Then, T = 2πr/sqrt(gr) But the answer is 2πr/R * sqrt(r/g). I don't know why? Is...
  34. Vipanj

    I How can we visualise a half period zone inside a zone plate?

    how can we consider/ visualise a half period zone inside blackened portion of +ve zone plate ?
  35. C

    Find the period of small oscillations (Pendulum, springs)

    Homework Statement A uniform rod of mass M, and length L swings as a pendulum with two horizontal springs of negligible mass and constants k1 and k2 at the bottom end as shown in the figure. Both springs are relaxed when the when the rod is vertical. What is the period T of small oscillations...
  36. D

    Period of Oscillations near equator

    Homework Statement A bead slides along a frictionless wire which lies in the N/S direction, midpoint at the equator. All points along the wire are the same distance from the center of the earth. The bead is initially at rest then released a small distance, δ, to the north of the equator...
  37. A

    I Time period of precession of Sx about B

    Consider an electron for which l=0 is kept in a uniform magnetic field B. For which the hamiltonian matrix is {μBB,0,0,-μBB} now if the electron is in the state 1/√2{1,1}(e.g in the eigenstates of Sx eigenvalue ħ/2} If this state is time evolved 1/√2{1,0}exp(-iEt/ħ)+1/√2{0,1}exp(iEt/ħ) where...
  38. Abourque72

    Period of Motion from Equations of Motion

    I would like to preface this by saying that I solved the homework problem, but my professor gave me an added challenge of finding the period of the motion described in this problem. 1. Homework Statement The pendulum bob of mass m shown in the figure below is suspended by an in-extensible...
  39. O

    What is the period of the second planet in this exercise?

    Homework Statement In a distant galaxy, a planet orbits its sun at a distance of m with a period of 108 s. A second planet orbits the same sun at a distance of m. What is the period of the second planet? Select one: a. s b. s c. s d. s e. Homework Equations T^2=constant * r^3 The...
  40. J

    Optimizing Periodic Motion in an Elliptical Orbit

    Homework Statement A particle moves periodically around an ellipse of equation ##\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1##. You can assume ##a>b##. The ##x## and ##y## components of the particle's velocity can never exceed ##v## at any point. What is the minimum possible period of the...
  41. J

    Determine the period of small oscillations

    Homework Statement Two balls of mass m are attached to ends of two, weigthless metal rods (lengths l1 and l2). They are connected by another metal bar. Determine period of small oscillations of the system Homework Equations Ek=mv2/2 v=dx/dt Conversation of energy 2πsqrt(M/k) The Attempt at a...
  42. Johnnyallen

    I Planet mass vs. orbital period

    I recently read a short summary of Kepler 11 and the Kepler Mission. I understand that the orbital period of a planet is a function of its velocity and distance from the star, and the mass of the star will also factor in. Question: Is the mass of the planet also a factor? In other words, does a...
  43. J

    Confused about a simple harmonic motion problem....

    Homework Statement A vertical block-spring system on Earth has a period of 6.0 s. What is the period of this same system on the moon where the acceleration due to gravity is roughly 1/6 that of earth? Homework Equations w = √(k/m) w = (2Pi)/T T = 2Pi*√(m/k)[/B] The Attempt at a Solution So...
  44. I

    Equation that relates gravity and period

    I need help with a question on my homework about circular motion. It goes like this: - Starting from Newton's Second Law, develop an equation for the stopper that relates the force of gravity to the period.
  45. G

    I Periodic potential V(x) -- how can I show that the period is d?

    periodic potential how can i show that period is d
  46. DracoMalfoy

    Dimensional Analysis: Period of a Pendulum to the length

    Homework Statement Use unit analysis to show that the constant, 2π, is unitless. Homework Equations T=2π√L/g[/B] The Attempt at a Solution T= [T] L= [L] g= a= [L]/[T]^2= [L T^-2] [T]= 2π√[L]/[L T^-2] [/B] Is this correct? I wasn't really sure how to do this. I'm using book examples to...
  47. S

    What is the range and time period of this particle?

    Homework Statement The longer-range inter-nucleon force is not a direct result of the gluon field, but is indirectly affected by a quark-antiquark pair (i.e. meson). If this ‘residual’ strong interaction between nucleons is mediated by a π-meson, then what is the maximum time period in which...
  48. S

    I Time period in which an interaction with a π-meson happens?

    The longer-range inter-nucleon force is not a direct result of the gluon field, but is indirectly affected by a quark-antiquark pair (meson). If this ‘residual’ strong interaction between nucleons is mediated by a π-meson, then what is the maximum time period in which the interaction takes...
  49. ?

    Number of waves from an oscillating source in one period

    Homework Statement A mass m attached to a spring of spring constant k emits sound at frequency f, detected by a collinear observer at distance r. If the mass has maximum velocity v_0, what is the total number of waves the observer detects in one period of oscillation? Homework Equations...
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