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.
The figure is shown; the measurements were taken on two consecutive observing nights. The Ordinate is the flux normalized to continuum and the abscissa is the wavelength scale. You can see the "bumps" indicated by the arrows referring to some Starspot as the spot moves on the profile; assuming a...
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...
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...
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...
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...
Homework Statement
A thin 0.50-kg ring of radius R = 0.60 m hangs vertically from a horizontal knife-edge pivot about which the ring can oscillate freely.
If the amplitude of the motion is kept small, what is the period?
Homework Equations
T = 2pi / ω
Not sure what others...
The Attempt...
Homework Statement
An object with mass m is attached to a string with initial length R, and moves on a frictionless table in a circular orbit with center C as shown in the figure. The string is also attached to the center, but its length is adjustable during the motion. The object initially...
Homework Statement
Let γ : R → Rn be a regular (smooth) closed curve with period p. Show that there exist an orientation preserving diffeomorphism ϕ: R → R, a number p' ∈ R such that ϕ(s + p') = ϕ(s) + p and γ' = γ ◦ ϕ is an arclength parametrized closed curve with period p'
Homework...
I am given the solution to the first part of the problem, however not the second part - would appreciate for someone to double check my work! Cheers.
1. Homework Statement
If a scale model of the solar system is made using materials of the same respective average density as the sun and...
Homework Statement
A landing craft with mass 1.22×10^4 kg is in a circular orbit a distance 5.50×10^5 m above the surface of a planet. The period of the orbit is 5100 s . The astronauts in the lander measure the diameter of the planet to be 9.50×10^6 m . The lander sets down at the north pole...
Homework Statement
A particle with mass m is undergoing with harmonic motion with a period T, we introduce an external force F proportional to velocity v so that F= -bv with b a constant and we assume that the particle continues to oscillate how does the period change?
Homework Equations F= m...
Homework Statement
A rigib poll of length 2L is made into a V shape so that each leg has length L. What is the period of oscilation for small angle. The angle between the legs is 120 degrees
Homework Equations
3. The Attempt at a Solution [/B]
I tried to calculate the period by imagining a...
Homework Statement
How far would be a planet from the earth, when its period would be 2 years?
T = 2 years/730 days
a = 150*106km
Homework Equations
a3/T2 = C
(C is the Kepler-Constant)
The Attempt at a Solution
I tried inserting T in days and years, but I always get a wrong solution, since C...
Homework Statement
When the brick with mass 3 kg is hanged in a spring, it is lengthened 25 cm. If we lengthen the spring with 15 cm more and leave it free how may times does the brick take to come back to the equilibrium position
Homework Equations
In the solution it says t=T/4
The Attempt...
Homework Statement
A 2.00-kg object is attached to an ideal massless horizontal spring of spring constant 100.0 N/m and is at rest on a frictionless horizontal table. The spring is aligned along the x-axis and is fixed to a peg in the table. Suddenly this mass is struck by another 2.00-kg...
Homework Statement
A backyard pool is 14.5 m long. For fun Sally uses a board to create waves. Sally investigates the effect these waves have on Susan who is floating on another board near the middle of the pool. Sally notices that the waves travel with a speed 6.2 m/s.
a) If Sally moves the...
I am given three sine waves with individual frequency being 10 Hz, 50 Hz, and 100 Hz.
What is the frequency of the following :
y(t) = sin(2π10t) + sin(2π50t) + sin(2π100t)
Is it simply 100, the LCM of all the sin waves? If not, How to calculate the frequency of y(t) ?
Normally in highschool physics-textbooks, the following formula for the period of simple harmonic motion (SMH) for a object on a spring is derived:
T2= 1/(4π2k)*m
where T is the period, k the springconstant and m the mass of the object on the spring. This is usually acquired by setting up a...
Homework Statement
Superposition of two cosine waves with different periods and different amplitudes.
Homework Equations
This is basically:
acos(y*t) + bcos(x*t)
The Attempt at a Solution
I looked at different trig functions but it seems it is not a standard solution. I've found solutions...
Hi,
I'm using partial derivatives to calculate propagation of error. However, a bit rusty on my calculus.
I'm trying to figure out the partial derivative with respect to L of the equation:
2pi*sqrt(L/g)
(Yep, period of a pendulum). "g" is assumed to have no error. I know I can use the...
I did an experiment in which I varied the starting angle of elevation of a gyroscope. I noticed that at 45 degrees, the precessional period (amount of time to perform one spin) is the lowest, while at 0 degrees and 75 degrees, the precessional period is higher. If I plotted this on a graph, it...
Homework Statement
A mass m is sliding back and forth in a simple harmonic motion (SHM) with an amplitude A on a horizontal frictionless surface. At a point a distance L away from equilibrium, the speed of the plate is vL (vL is larger than zero).
Homework Equations
What is the period of the...
Homework Statement
The orbit of the moon is approximately a circle of radius 60 times the equatorial radius of the earth. Calculate the time taken for the Moon to complete one orbit, neglecting the rotation of the earth.
Equatorial radius of the earth = 6.4 *10^6m
1 day = 8.6*10^4s...
Homework Statement
I'm trying to work out the period of a function of the form sin(ax)*cos(bx), where a =/= b.
I'm trying solve how the values for a and b relate to the period. I've graphed a lot of functions, but I'm struggling to notice any patterns. The period always seems somewhat related...