Period Definition and 1000 Threads

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. N

    Solve Amplitude & Period Homework: Spring Constant k=74 N/m, Mass 490 g

    Homework Statement A massless spring of spring constant k = 74 N/m is hanging from the ceiling. a 490 g mass is hooked onto the unstretched spring and allowed to drop. A) Find the amplitude B) Find the period of the resulting motion Homework Equations f = 1/T F=-kx x(t) = Acos...
  2. A

    Determine the period of the motion

    Out of ideas, and frustrated! Homework Statement A ball dropped from a height of 4.00 m makes an elastic collision with the grond. Assume that no mechanical energy is lost due to air resistance. Determine the period of the motion Homework Equations I know the period (T) = the time...
  3. H

    Which is the correct fundamental period of cot inverse x?

    What is the fundamental period of cot inverse x? The book, “TRIGONOMETRY “by S.L.Loney says it is –pi/2 to +pi/2 whereas IIT MATHEMATICS by M.L.Khanna says that is 0 to pi
  4. S

    Finding the Period of a Trig Function without Graphing

    Period of trig functions! This is a rather easy-silly quiestion but i just don't know how to show it. I know how to find the period of trig functions of the form f(x)=Asin(wx+c) etc. i mean i know how to show that the period of this is \frac{2\pi}{w}. However, how would one find the...
  5. K

    Simple Harmonic Oscillator and period

    [SOLVED] Simple Harmonic Oscillator Homework Statement The equation of motion of a simple harmonic oscillator is (second derivative of x wrt t) d2x/dt2 = -9x, where x is displacement and t is time. The period of oscillation is? Homework Equations 2 pi f = omega f = 1/T...
  6. Y

    Period of mass M hanging vertically from a spring

    What is the period of this motion: a mass M hanging vertically from a spring, of spring constant k, under the influence of gravity. I figured: Mg-ky=Ma=Mw^2y (w being angular freguency) I know the solution(T=2pi * seqroot(M/k)) but how can I get there?? how can I eliminate Mg...
  7. T

    Calculate Rotation Period for Amusement Park Ride

    Hi i am studying for a test and found this problem that i have no clue how to do.. I was hoping for some help with it like equation to start. thanks Homework Statement In an amusement park ride called The Roundup, passengers stand inside a 14.0 m-diameter rotating ring. After the ring...
  8. H

    Calculating New Rotation Period of a Star After Shrinking Diameter

    The mass of a star is 1.4 × 10^31 kg and it performs one rotation in 26.3 day. Find its new period if the diameter suddenly shrinks to 0.55 times its present size. Assume a uniform mass distribution before and after. I don't know what I am doing wrong here: Iw(intial)=Iw(final)...
  9. F

    How do I get this equation for period?

    In class, we were asked to the relation T =2π√(2I/mgL). However, I am only able to get T =2π√(I/mgL) -- I have no idea where that 2 came from. This is for a physical pendulum of a rod like object swinging back and forth. Does anyone know how to get that equation?
  10. P

    "Understanding the Period of a Function f{ax + b}

    Homework Statement If f{x + p } = f{x} for all x..then p is called the period of the function. This part is clear to me.Now the book says... The period of the function f{ax + b} is b/a.Can someone lead me through. Homework Equations N/A
  11. M

    How does one determine the period of a polar curve?

    How does one know when the a polar curve repeats itself? I usually go from 0 to 2pi but that sometimes get me into trouble. For example: Question says find the horizontal and vertical tangents of this curve.. r=3cos\theta I was like well.. you have horizontal tangents when \theta =...
  12. J

    Calculate New Period of Star After Shrinking Diameter

    The mass of a star is 1.170×1031 kg and it performs one rotation in 28.30 day. Find its new period (in days) if the diameter suddenly shrinks to 0.610 times its present size. Assume a uniform mass distribution before and after. How do I even start this problem? Can anyone give me step by...
  13. S

    Density of an asteroid from revolution period

    Homework Statement The rotation period of a small asteroid is 10.21 revolutions per day. What is the minimum density for this object?Homework Equations The Attempt at a SolutionI should be able to use angular momentum right? I'm trying to do this by approximating the asteroid as a sphere and...
  14. J

    Period of a Pendulum: Calculate New Period & 24h Loss

    A clock pendulum has a period of 1.222 seconds where g = 9.812 m/s^2. 1. What is the new period of the pendulum when g = 9.797 m/s^2? 2. How many seconds will a clock using this pendulum lose in 24 hours? For the first one, using 7 significant figures, the new period comes out to...
  15. K

    How Is the Period of a Satellite Calculated?

    [SOLVED] Period of a satellite 1. Given: G = 6.67 x 10^-11 N m^2/ kg^2 The acceleration of gravity on the surface of a planet of radius R = 4910 km is 11.8 m/s^2. What is the period T of a satellite in circular h = 8445.2 km above the surface? Answer in units of s. 2. F = GMm/r^2 F...
  16. V

    Period and cycle of a function .is the same thing, no?

    [SOLVED] period and cycle of a function...is the same thing, no? it essentially is right? but can be further defined as a)cycle...-can start at any x point b)period...-the unit measure of the cycle correct?
  17. M

    Period of 19 Hz Wave with 0.18 m Amplitude & 0.20 m Wavelength

    Homework Statement A wave traveling in the positive x direction with a frequency of 19.0 Hz The full amplitude of the wave is 0.18 m and the wavelength is 0.20 m What is the period and speed of the wave? Homework Equations speed=(frequency)*(wavelength) Frequency=1/period The...
  18. V

    Period of Anharmonic Oscillator

    Homework Statement Hi, For a certain oscillator the net force on a body, with mass m, is given by F=-cx^3. One quarter of a period is the time taken for the body to move from x=0 to x=A (where A is the amplitude of the oscillation). Calculate this time and hence the period. Homework...
  19. C

    Probability over a period of time

    Say I have the probability of something happening in period of a day. How am I going to tackle finding the probability of it happening in a period 7 days? Statistical independence of events or not.
  20. P

    Rotation period vs. mass of planets in solar system

    Hi all, I just realize that for most of the planets in our solar system, the heavier the planet, the faster it rotates around its axis. Do you think there may be any reasons for that?
  21. C

    Calculating Period of Hubble Telescope Orbit

    Homework Statement The Hubble Space Telescope orbits Earth 615 km above Earth's surface. What is the period of the telescope's orbit? Homework Equations T = 2(pi)r/v The Attempt at a Solution T = 2(pi)(6.37x10^6)/9.8
  22. C

    Period of f(t) = cos(3\pi t) + \frac{1}{2}sin(4\pi t) | T Calculation

    Homework Statement What is the period T of f(t) = cos(3\pi t) + \frac{1}{2}sin(4\pi t) So, I think I have to find the LCD of 3pi and 4pi, which is 12pi. I don't think this is even close to correct though!
  23. A

    Ferris wheel magnitude and period

    Homework Statement A woman rides a carnival Ferris wheel at radius 21 m, completing 4.2 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point? Homework...
  24. M

    Simple pendulum: does the period change in a horizontally accelerating frame

    [SOLVED] Simple pendulum: does the period change in a horizontally accelerating frame Homework Statement Simple pendulum which is 5.0m long. What is its period when it is in a truck accelerating horizontally at 5.0m/s/s? Homework Equations w = sqrt(g/d) w = 2pi/T The Attempt at a...
  25. Evo

    What Was Stirring on the Night Before Christmas?

    An oldie but goodie. 'Twas the nocturnal segment of the diurnal period preceding the annual yuletide celebration, and throughout our place of residence, kinetic activity was not in evidence among possessors of this potential, including that species of domestic rodent knows as Mus musculus...
  26. P

    What is the Orbital Period of Jupiter in Earth Years?

    Jupiter is 5.2 times farther than Earth from the sun. Find Jupiter's orbital period in Earth years. Equation to use is: T^2 = Kr^3 Radius of Earth is 6378100 m and radius of Jupiter is 71492000 m. I rearrange the equation to K = T^2/r^3 and set k of Earth equal to k of Jupiter. I enter...
  27. A

    Archived Period, amplitude, maximum speed, and total energy

    Homework Statement A 175g mass attached to a horizontal spring oscillates at a frequency of 2.0Hz. At one instant, the mass is at x = 5.0cm and has Vx = -20cm/s. Determine the following. a.) the period b.) the amplitude c.)the maximum speed d.)the total energy Homework Equations...
  28. B

    What Is the Period of SHM for a Rotated Cube Attached to a Spring?

    The 3.00 kg cube has edge lengths d = 6.30 cm and is mounted on an axle through its center. A spring (k = 950 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 3.00° and released, what is the period of the resulting SHM...
  29. A

    Simple Harmonic Motion - Period (T)

    [SOLVED] Simple Harmonic Motion - Period (T) 1. A pendulum oscillates with a period T. If both the mass of the bob and the length of the pendulum are doubled, the new period will be _____. 2. T = 2(pi) x rad (k/m) 3. Since L is not a part of the equation, it shouldn't affect...
  30. J

    Period of nonlinear spring-mass system

    I wasn't sure where to post this problem, as it's physics related, but rather advanced in its math content (and it's a problem for my applied math course). Homework Statement Considering a spring-mass system (like http://www.cs.toronto.edu/~faisal/teaching/notes/csc418/faisal/img/sm1.gif" )...
  31. A

    Velocity of air, period, flutes and resonant frequencies

    Hi, We were talking about the speed of air expelled from the mouth as it passes over the embouchure hole of a flute, and I'm having trouble understanding part of the concept. At one point, in the notes, I have if the velocity of the airstream is greater than the period of the flute cavity's...
  32. P

    Length vs. Period: Comparing Linear & Quadratic Relationships

    I did a pendulum lab and determined that length affected the period. So the values got where: 10 cm = 6.47 s 15 cm = 7.895 s 20 cm = 8.94 s 25 cm = 9.89 s 30 cm = 10.5 s 35 cm = 11.905 s With these values, it seems like graphing this straight as it is results in a linear line, but I...
  33. G

    What Distance x Gives the Least Period for a Physical Pendulum?

    Homework Statement In Fig. 16-41, a stick of length L = 1.6 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point O gives the least period? (b) What is that least period...
  34. I

    Satellite period, which equation?

    Homework Statement I'm looking for the period of an orbiting object a certain height from the Earth's surface, I am given this height. So I have the total radius of 6,5OO,OOO m, g = 9.81 m/s^2 and the mass of Earth = 5.98*10^24 kg Please note that for this problem G is another constant...
  35. A

    Help Period of oscillation of the mass

    A mass which is resting on a horizontal frictionless surface is connected to a fixed spring. The mass is displaced 0.16 m from its equilibrium position and released. At t = 0.50 s, the mass is 0.08 m from its equilibrium position (and has not passed through it yet). What is the period of...
  36. E

    Probabilit y of a valve falling in a time period

    Homework Statement A large population of nominally identical "fail to close" control valves are put into service on the same day on similar installations. The number of valve failures per month N was recorded over time and shown to be given approximately by the following equation Calculate...
  37. S

    Conceptual - Mass, Period, Spring Constant

    Homework Statement True or False Quadrupling the mass will double the period. Tripling the amplitude will sextuple the frequency. Doubling the amplitude will not change the frequency. Halving the amplitude will quadruple the frequency. Doubling the spring constant will halve...
  38. M

    Why Does the Period of a Pendulum Increase with Distance?

    Homework Statement A 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 period of the pendulum, if the axis is a distance d from the...
  39. B

    Calculating New Period of a Shrinking Star with Uniform Mass Distribution

    Period of a Star...Please help! Homework Statement The mass of a star is 1.250×1031 kg and it performs one rotation in 36.30 day. Find its new period (in days) if the diameter suddenly shrinks to 0.590 times its present size. Assume a uniform mass distribution before and after. I don't...
  40. D

    Revolving Around a Star: Calculating an Orbital Period

    A star has a mass approximately 100 times that of our sun. If a planet with the same mass as the Earth is oribiting at a radius similar to that of the Earth's radius around the sun, how long would it take the planet to revolve around the star once? Ok, the period of the Earth's rotation is...
  41. B

    Calculating Mass of Star from Orbital Distance and Period

    iI was asked to find the mass of a star given the orbital distance and the period. my mass came out to be 2.31^30 kg. Its then asking me to express it in terms of our sun's mass. Really don't understand what it means by that
  42. P

    Calculating Satellite Speed Based on Orbit Period

    Homework Statement A satellite is in a circular orbit about the Earth (M = 5.98 x 1024 kg). The period of the satellite is 7.12 x 104 s. What is the speed at which the satellite travels? 2. The attempt at a solution I used the equation: http://img171.imageshack.us/img171/7176/math062gg0.gif...
  43. M

    How to Measure the Time Period of Vertical Oscillations | Exam Preparation Tips

    Here is the question: Gently displace the mass and release it so that it performs vertical oscillations. Make measurements to determine the period T of the oscillations. +++++ So here is what I did: Time for 20 oscillations = t1 (2 d.p) Time for another 20 oscillations = t2 (2 d.p)...
  44. H

    Centripetal Acceleration and period of rotation

    Homework Statement In a test of a “g -suit,” a volunteer is rotated in a horizontal circle of radius 7.7m. What must the period of rotation be so that the centripetal acceleration has a magnitude of 3.7g ? What must the period of rotation be so that the centripetal acceleration has a...
  45. J

    Thermal Expansion on Pendum- Period related question

    Homework Statement A grandfather clock is calibrated to 20 degrees Celsius. If the room temperature were to be increased to and maintained at 30 degrees, how much would the clock run slower by in a 7 day period? (Yes, the length of the pendulum is NOT given) Can someone help me with this...
  46. Saladsamurai

    Calculation for Asteroid Orbital Period

    Of an asteroid whose Mass is 2.0*10^-2 times that of Earth's and whose distance from the sun is twice the Earth's distance from the sun. Find the period in years. I am supposed to use the concept of gravitational F=centripital force=m\frac{v^2}{r} and the fact that v=\frac{2\pi r}{T} so this...
  47. V

    SHOW: x(at) is a periodic signal with period T/a (a>0)

    Homework Statement If x(t) is a periodic signal with period T, show that x(at), a > 0, is a periodic signal with period \frac{T}{a}, and x\left(\frac{t}{b}\right), b > 0, is a periodic signal with period bT. Homework Equations HINT: Define x_a(t)\,=\,x(at) and...
  48. V

    SHOW: if x1 & x2 have a period T then x3 = a*x1 + b*x2 also has period T

    Homework Statement Show that if x_1(t) and x_2(t) have period T, then x_3(t)\,=\,ax_1(t)\,+\,bx_2(t) (a, b constant) has the same period T. Homework Equations x_1\left(t\,+\,T\right)\,=\,x_1(t) x_2\left(t\,+\,T\right)\,=\,x_2(t) The Attempt at a Solution...
  49. V

    Find fundamental period of x(t) = cos(Pi * t)

    Homework Statement Find fundamental period of x(t)\,=\,cos\left(\pi\,t\right) Homework Equations x(t)\,=\,A\,sin\left(\omega_0\,t\,+\,\phi\right) Which has a fundamental period T\,=\,\frac{2\pi}{\omega_0} The Attempt at a Solution \omega_0\,=\,\pi <---- Right? T\,=\,\frac{2\pi}{\pi}\,=\,2...
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