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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Please help.
Thanks.
P.S-This is not schoolwork or homework...
I have been studying Hulse Taylor PSR 1913+16 calculation of period shift which is regarded as indirect proof for gravitational waves, but I don't understand one thing.
If you look on the graph of Cumulative period shift, around every 10 years the shift doubles...
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...
Well I numerically solved for the potential V(x)=x^4, the period:
\begin{equation}
T = \sqrt{8m} \int_0^a \frac{dx}{\sqrt{V(a) - V(x)}}
\end{equation}
where a was the amplitude of the oscillation and m the mass of the particle.
Nevertheless, what I was asked to plot was the above period T(a)...
Homework Statement
Q The length of a simple pendulum executing SHM is increased by 21% .The percentage increase in the time period of the pendulum of increased length is
a) 11%
b) 21%
c)42%
d)10%
Homework Equations
##T = 2\pi\sqrt{\frac{L}{g}}##
The Attempt at a Solution
##T^2 =...
Homework Statement
Hello everyone,
I'm new to the great field that is Fourier analysis, and have a question about the way in which to determine if the function is a odd or even function.
Given the function, of one period
f(x) = { x; 0 <= x < =1, 1; 1 < x < 2, (3 -x); 2 <= x <= 3:
Is...
From http://www.scientificamerican.com/article/moon-life-tides/
It all started some 4.5 billion years ago when, as theory has it, our nascent Earth was blindsided by a Mars-size planetary embryo, believed to have spun Earth into its initial fast rotation of roughly 12 hours per day.
Can...
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
how far from the rim of a disk of Radius R must the pivot point be located in order for its period of oscillation to be a minmum where R is the distance from the point to the centre of mass?
I'm stuck at the derivative because I saw a similar problem where the answer is...
Homework Statement
A particle with a mass(m) of 0.500kg is attached to a horizontal spring with a force constant(k) of 50.0N/m. At the moment t=0, the particle has its maximum speed of 20m/s and its moving to the left. Find the minimum time interval required for the particle to move from...
Homework Statement
A rod of length ##2L## is bent at point of its middle so that the rods now created are in a upside V shape and the angle between them is ##120°##. The system oscilates. Find the expression of the period of oscilation.
Homework Equations
3. The Attempt at a Solution [/B]
I...
Homework Statement
Q. [/B]The bob of a simple pendulum has a mass ##m## and it is executing simple harmonic motion of amplitude ##A## and period ##T##. It collides with a body of mass ##m_o## placed at the equilibrium position which sticks to the bob. The time period of the oscillation of the...
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
Given the period (T) and the moment of inertia (I), find the Torsion constant (K)
T= 1.32s
I= 0.0383 kgm^2
Homework Equations
The Attempt at a Solution
The answer is K=0.8678, I'm not really sure how to get the answer, but I think it has to do with the units.
Homework Statement
A source injects an electron of speed ##v## into a uniform magnetic field of magnitude ##B##. The velocity of the electron makes an angle ##\theta## with the direction of the magnetic field. Find the distance ##d## from the point of injection at which the electron next...
Homework Statement the period of a physical pendulum is ## 2\pi \sqrt{I/mgh}, ## where I is the moment of
inertia about the pivot point and d is the distance from the pivot to the
centre of mass. A circular hoop hangs from nail on a barn wall. The
mass of the hoop is 3 kilogram and its radius...
Hello,
I am trying to understand the intuition of the definition of the period of a state in a Markov chain.
Say for example we can go from state i to state i in 3,5,7,9,11... and so on steps.
The gcd here is one. So is this aperiodic state or one with periodicity of 2.
Thanks
Homework Statement A pendulum consists of a light rigid rod of length 250 mm, with two identical uniform solid spheres of radius of radius 50 mm attached one on either side of its lower end. Find the period of small oscillations (a) perpendicular to the line of centres and (b) along...
Homework Statement
A 775 g mass is hung on a spring. As a result the spring stretches 20.5 cm. If the object is then pulled an additional 3.0 cm downward and released, what is the period of the resulting oscillation?
Homework Equations
T = 2pi sqr root(m/k)
Hooke's Law Fs=kx
The Attempt at a...
Why is the period of a satellite's orbit independent of its mass? I understand that its mass cancels out mathematically, but I don't understand it intuitively. The way I'm seeing this, if a satellite has a greater mass, it would have a greater pull on the body it is orbiting, and hence would...
Homework Statement
A pendulum with a mass of 0.1 kg was released. The string made an angle of 7 ° with the vertical. The bob of the pendulum returns to its lowest point every 0.1 seconds.
What is the period, frequency?
Homework Equations
T= 1/f
T=sec/cycles
F= cycles/sec
The Attempt at a...
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...
Can somebody please explain to me why the integral of, for instance, cos((2*pi*x)/a)*cos((4*pi*x)/a) vanishes over the interval 0 to a? As I understand it, this is generally the case when integrating sines and cosines with different arguments "over the interval of a period." But I'm confused...
An interrupted pendulum is one in which the string strikes a rod directly below the pivot point causing the pendulum bob to deviate from its previous circular trajectory into a trajectory of a smaller radius. Depending on the original angle of displacement θ and where the rod is placed relative...
Assuming a neutron star is a uniformly dense sphere of radius 10km and mass =1.4 mass of sun, derive the period of radial oscillations.First use hydrostatic equilibrium to calculate p, then the velocity of sound is $$v= \sqrt{ \gamma p / \rho}$$, so the period of pulsation is time it takes from...
Homework Statement
Find the period and frequency of the motion of an electron of kinetic energy, E, 34 KeV as is moves in a circular orbit perpendicular to a magnetic field, B, of 0.270 T.Homework Equations
For speed, v:
For charge, q:
For mass, m:
For radius, R:
For frequency, f...
Homework Statement
Determine the rotation period of a disc with 2m radio , that makes 20 rotations per minute.
Homework EquationsThe Attempt at a Solution
I did T= 60/20 to find the period , but is that it ? what about the 2m?
A guitar string vibrates 750 times in 3.00s. Calculate period and Frequency.
I am in grade 11 and it is my first week in physics 11 so I'm new at this! My question is on how the significant digits work. I don't know where I should leave my answer..Here is my attempt:
Period: 3.00/ 750 =...
I have a formal lab due, and my idea is to use a bifilar pendulum, model its period using experimental data, and examine the effect of the length of the strings on the amplitude of the period.
For anyone unfamiliar with it, here is a picture of the pendulum. This is how I plan on setting up my...
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) ?
Hello,
I'm trying to use a moving average to optimize performance. However, I don't want to just choose an arbitrary period to begin with. Do you have any suggestions as to how to determine the proper period to begin with. What I'm asking is:
Is there a mathematical formula to determine the...
the period between two successive cell divisions is called ?
according to the site below
http://www.geekmcq.com/biology/cellcycle/discussion-7116
it's interphase
and as per below site
in question no 17 as we can see it is called generation time.And my teacher says generation time is same...
Normally in high school 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...
Hi guys,
My logic is obviously flawed here I'm just not sure what I'm missing. I'd love a hint but don't tell me too much as I want to try to figure this out once I'm heading in the right direction :) I'm really upset with myself that I couldn't solve this, so I'd love more SHM problems to...
Homework Statement
I'm given this system:
\dot x = Ax^2 y + 1 - (B+1)x
\dot y = Bx - Ax^2 y
(a) Find the value of B when hopf bifurcation occurs.
(b) Estimate the period of the limit cycle in terms of ##A## and ##B##.Homework EquationsThe Attempt at a Solution
I have found fixed point to be...
Hey everyone!
1. Homework Statement
I've been giving the equation for a gaussian wave packet and from that I have to derive this formula:
T_{Kepler}=2\pi \bar n ^3 by doing a first order taylor series approximation at \bar n of the phase:
f(x)=f(\bar n)+\frac{df}{dx}|_{\bar n}(x-\bar...
During a physics lecture, the professor demonstrated how to find the period of an object that was dropped through a hole drilled straight from one end of our planet to the other. He finished by saying "an object orbiting the Earth near the surface will have a period of the same length as that of...
Let's have a time series with a period=L. Suppose we arbitrarily choose the window length of the trajectory matrix to be equal to L which is also equal to the period of a time series. Then the second column of the matrix will also start with the same entry as the first column, because all...
Homework Statement
Planet 1 orbits Star 1 and Planet 2 orbits Star 2 in circular orbits of the same radius. However, the orbital period of Planet 1 is longer than the orbital period of Planet 2. What could explain this?
A) Star 1 has less mass than Star2.
B) Star 1 has more mass than Star 2
C)...
Homework Statement
Problem statement -
[/B]
Klepner and Kolenkow 6.15 : A pendulum is made of two 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 centres are a distance l...
Homework Statement
Homework Equations
this was a formula I just found on Wikipedia, but it seemed to be right for this problem.
The Attempt at a Solution
so we have the diameter of the of the wheel = 0.7 m
mass of wheel = 0.25 kg
distance of the rod attached = 0.2m
angular velocity of...
HI - we know that the orbit of mercury precesses (I hope I am using the right terminology here). Which basically means that the orbit seems to undergo some sort of rotation in the ecliptic plane. Does this also mean that the period of Mercury's orbit as seen from the Earth is not uniform but...
Relevant equations
1)
2) T = \sqrt{ \frac{m}{k} }
3) T = \frac{2 \pi }{ \omega } In some problems about damped oscillatory motion, the requests ask for example "Calculate the amplitude after 20 oscillations"
I know that i need to find the period first of all but :
Do i find the period...
Homework Statement
We have a light rigid pendulum with length ##l##. A mass ##M## is placed at the end and a mass ##m## is placed a distance ##x## from the pivot. What is the period of the pendulum?
Homework EquationsThe Attempt at a Solution
Reduce the problem to a single mass situation...
Could anyone venture a guess or offer comments on the following...
Jill is very P.O.ed at something Jack did. Jill decides to retaliate. Jill's blood is boiling the day after the incident with Jack and is most likely to retaliate that day. On Day 2, Jill has cooled down just a little but has...