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.
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...
Homework Statement
Mars orbits the sun at 1.52 Earth's orbital radius. What is the period of Mars in Earth years?
Homework Equations
ΣFc = mac
The Attempt at a Solution
I am unsure how to do this problem as this is the first "orbital period" question that I have encountered. Do I...
Homework Statement
An object in SHM oscillates with a period of 4.0 s and an amplitude of 10 cm. How long does the object to move from x = 0.0 cm to x = 6.0 cm?
Homework Equations
x(t) = Acos(ωt +φ )
The Attempt at a Solution
ω = π/2
Acosφ = 0 ⇒φ = ±π/2
Since object is moving...
In my physics class we did an experiment where we timed the oscillations of a lead bob when swung from a small angular displacement and were asked to find the relationship between oscillation time (period) and string length. We were given 4 possible equations and asked to find the right one and...
Homework Statement
At what distance about Earth would a satellite have a period of 125 min?
G=6.673x10^-11
T=125 Min
Mass=5.97x10^24
Radius of Earth=6.38*10^6
Homework Equations
T=2pi*Square root of (R^3/constant*mass)
The Attempt at a Solution
125=2*3.14*Square root of...
- believed that ethics, or virtue, was valuable for the person, despite consequences
-the healthy or virtuous personality has a clear moral vision, good judgment, and strength of will
-each of us is made up of three elements: a physical body, spirit, and intellect:
in the healthy soul, these...
A 424 g mass vibrates according to the equation x=0.342 sin(5.20t) where x is inn meters and t is in seconds. Find the amplitud, frquency, period, total energy, kinetic energy when x=12.0 cm, and potencial nergy when x-12.0 cm.
Amplitud=0.342
w=2*pi*frequency...
someone told me about something along the lines of a male hormonal period. we go through through the same type of depression, etc... as girls? how accurate is this? because, i do notice every so often, for no reason at all i get somewhat depressed and can't control it.
I have trouble understanding how damping affects the period (of a torsion pendulum). I know that damping affects the amplitude of the oscillator, however how would damping change the period then?
I have a feeling this has to do with angular frequency, w, given by:
w = sqrt( (k/m) -...
Homework Statement
A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k. Particle oscillates as shown in (i) with preriod T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be.
A) 2T
B) \sqrt{2}T
C)...
Homework Statement
A transverse wave on a string is described by the wave function
y = (.120m) sin(pie/8 + 4pie(t))
(a) Determine the transverse speed and acceleration of an element of the
string at t=0.200s for the point on the string located at 1.60m
(b) What are the wavelength...
Homework Statement
A rocket is accelerating upward at 3.70 m/s^2 from the launchpad on the earth. Inside a small 1.50-Kg ball hangs from the ceiling by a light 1.10m wire.
a)If the ball is displaced 8.50 degrees from the vertical and released, find the amplitude of the resulting swings of...
Before begining, I would like to point out I did look at the following thread previous to this one, and thus have a few questions about that thread and it's application to this one: https://www.physicsforums.com/showthread.php?t=143536
Homework Statement
The problem...
Hello,
I am currently dealing with Fourier Series, and a question about the period length of a product of two periodic functions is bothering me. If you have two different periodic functions with different (or the same) period and you sum them up, what happens to the period? Can this generally...
Please help...
Given that the distance to the sun from the Earth is 1.5*10^11 m and the the mass of the sun is 1.9*10^30 kg.
Using Keplers law find the period of the Earth's orbit recorded in seconds; show how to express your anwser in years; and if your anwser does not agree with the accepted...
I can't seem to make the necessary connections in this problem.
Complete the algebra to show that the period for a thick ring ( the difference between the outer and inner radius is very large) is:
T = 2π √[(d/g) + ((ΔR)^2/4Rg)]
d= diameter of the ring
ΔR=Ro-Ri
Ro (outer radius)=...
Homework Statement
A slender, uniform rod of mass m and length l can be pivoted on a frictionless horizontal support at any point along the rod's length. The rod then moves as a physical pendulum for small oscillations about the vertical equilibrium position. Suppose that the pivot point is...
Homework Statement
The formula to find the period of a pendulum is t=2pi √ L/g
where pi = 3.14...
L=length of pendulum
g=gravity
So I was wondering how all of this was put together. How they related together? Why it is multiplied by 2pi
The Attempt at a Solution
I really don't...
Homework Statement
A physical pendulum is constructed using a 4.4 kg object having a moment of inertia of 33.9 kg-m2 about its center of mass. The rotation (suspension) point is 276.69 cm from the center of mass. What is the period of this physical pendulum?
Homework Equations
T =...
GPS (Global Positioning System) satellites orbit at an altitude of 2.0×10^7 m.
Find the orbital period.(hours)I use the equation T=(2pi/sqrt(GM))r^(3/2).
Shouldnt that be the correct way of doing it? I know I am supposed to add the altitude to the radius of the earth, G is known, M of Earth is...
Homework Statement
Which of the elements, from the second period, has the highest density in its standard state?
Homework Equations
Standard state is gas at 1 atm, concentration of 1 M for liquid, or pure substance at 25C and 1 atm.
The Attempt at a Solution
I thought that N, O, F...
According to our lab manual, the graph of Wavelength vs Period : the slope should be the speed of sound. Well, I have a negative slope of -32.2 which is ridiculous, but I can't find out what I'm doing wrong. We had 5 tuning forks , say for instance, 512Hz...the inverse
1/f = 1/512= 0.00195 , I...
Homework Statement
As you can see, I have a ball inside a ball.
One with a density p1 and the other p2.
the ball stand on a surface with friction so it can move without sliding.
they move the ball from its rest point and release it.
I need to figure out the period time, any idea...
Homework Statement
The 4.00kg block in the figure (Intro 1 figure) is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in the diagram and the tension in the upper string is 82.0 N.
Homework...
1.Sputnik I, the first artificial satellite to circle the planet (October 1957) had a mean orbital radius of 6957 km. Compute its period in seconds
2. I am using the equation T^2 = R^3/C
3. I converted 6957 km to AU's which equals 4.638 E-5. When I plug in the numbers, and convert...
Mars travels in a nearly circular orbit of radius 2.28 x 10^11 m around the Sun. The mass o Mars is 6.27 x 10^23 kg. The gravitational force of attraction between Mars and the sun has a magnitude of 1.63 x 10^21 N.
a) what is the speed of Mars?
i got 2.4 x 10^4 m/s
b)Determine the period...
Homework Statement
The rings of a Saturn-like planet are composed of chunks of ice that orbit the planet. The inner radius of the rings is 170,000 km. The mass of this planet is 5.7x10^26 kg.
Find the period of an orbiting chunk of ice at the inner radius.
Homework Equations
The force of...
Homework Statement
The Hubble Space Telescope orbits Earth 614 km above Earth's surface. What is the period of the telescope's orbit?
Homework Equations
T=(2*pi*radius)/v
The Attempt at a Solution
No attempt, Using that equation, I'd have to know the velocity, and that is where...
1. During an Apollo lunar landing mission, the command module continued to orbit the Moon at an altitude of 100km. How long did it take to go around the Moon once?
2. T= 2(pi)(r^3/2) / root (GM)
mass of moon = 7.35 X 10^22
radius of moon= 1.74 X 10^6
3. I think that is the...
I'm doing an experiment on periodic motion using a spring and a mass on the end.
My teacher wants us to graph T^2 and mass, but i don't understand we don't just graph T.
I hope someone understands what I mean :smile:
Homework Statement
A pendulum clock is designed to tick off one second on each side-to-side swing of the pendulum (two ticks per complete period).
Will a pendulum clock gain time in hot weather and lose it in cold, or the reverse? Explain your reasoning?
Homework Equations
No equation...
This question has been stumping me on my Astronomy homework for the past couple of days. I've tried to input the question into any of the other formulae that we've studied, but I keep drawing a blank on it.
Homework Statement
Given the size of Triton's orbit(a = 355,000,000 meters) and...
What position should you start to time the period and why? Should you start to time the period straight away or wait, and if so for how long (how many oscillations)? If the length is fixed should you use a long or short pendulum to increase precision? If the mass is fixed should you use a large...
Homework Statement
This is a practical experiment. We have to find the factors effecting the period of a vibrating ruler. This entails finding first the period of a vibrating ruler. We have the equipment a ruler, a stopwatch, some stickytape and a pencil
Homework Equations
The...
Right, I am new here and i am really stuck on my homework.
Wandering if you could help me :D lol
anyways,
a loudspeaker vibrates at a frequency of 256 herts to produce a note we call middle c.
(a) how many waves does it produce in one second
(b) how many waves does it produce in 1...
x = (2/5)cos(t) + (1/5)sin(t)
by graphing this, I found the period to be 2*pi.
My concern is, when taking an exam I won't have time to bother with graphing or I'll get slammed with a weird graph and panic and get stuck.
I'm pretty sure there is a way to find the period quickly without...
f(x) = - sin(x/5 - pi)
the period for this is -pi correct, since, k taken out it is 1, and by divide -pi into 1, the answer will be -pi only, correct??
Qn. A simple pendulum has a length of 3.00m. Det the change in it period if it is taken from a point where g=9.80ms2 to a higher elevation where the acceleration due to gravity decreases to 9.79ms2.
i cannot seem to start the question and a bit unsure here...
here is what i get...
The period of the leg can be approximated by treating the leg as a physical pendulum, with a period of , where I is the moment of inertia, m is the mass, and h is the distance from the pivot point to the center of mass. The leg can be considered to be a right cylinder of constant density. For a...
A small planet has an orbital period that is twice that of Earth. What is the planet's orbital distance?
From Kepler's 3rd law of planetary motion, I can assume that:
rp3 / rE3 = Tp2 / TE2
where rp is the orbital radius of the planet and Tp is the orbital period of the planet...
A neutron star cannot spin with less than a certain critical period, or else it will start to lose mass from its equator due to the “centrifugal” force. Estimate this period.
Homework Statement
Determine the period of oscillations of a simple pendulum ( a particle of mass m suspended by a string of length l in a gravitational field) as a function of the amplitude of oscillations.
Homework Equations
T(E) = \sqrt(2m) \int^{x_2(E)}_{x_1(E)}\frac{dx}{\sqrt(E-U(x)}...
An ob ject moves with simple harmonic motion. If the amplitude and
the period are both doubled, the ob ject’s maximum speed is
I believe the object's maximum speed would be halved correct? Considering the regular velocity does not depend on the Amplitude and only the Period would affect it?
The fastest rate of rotation of a planet is that for which the gravitational force on matter at the equator just provides the centripetal force necessary for that matter to move with circular motion. Show that the period of rotation in this case is given by T= √3π/Gp where the planet is...
Hey, I know that the equation to find the period of a pendulum is
T = 2\pi\sqrt{\frac{l}{g}}
and my question is how exactly did they derive this? I've done some research and it confused me even more, can someone please explain the procedure to derive this equation?
Thanks.
Use Kepler’s laws to determine the period of the Hubble Space Telescope which orbits the Earth at an altitude of 610 km.
I'm using the equation i know to find the period of an object revolving around another object
T^2=Kr^3
T^2=(4pi^2/GM)*r^3
G=6.67 x 10^-11
M=5.98× 10^24 (Mass of...
What is the period T of the wave ?
If i am given:
Maximum electric field of 2450 V/m
Wavelength of 547 nm
I found:
Angular Wave # 1.15*10^7
Angular Frequency 3.45*10^15
Velocity of Electromagnetic Wave 3*10^8 m/s
B max of 8.17*10^-6 T
Intensity of 7960 W/m^2
I tried to solve...
Homework Statement
a planet is 2.00 a.u. when it is closest to the sun. its eccentricity is .5000. Find its period in years.
Homework Equations
The Attempt at a Solution
i got this so far... don't know if it is right
PD + AD = A
-AD - PD = F <SUBTRACTING THESE TWO>...
What is the evidence for the Inflationary Period? Is there CMB/ WMAP data to support the theory of inflation? As far as I know, which is very little, the Inflationary Period was inserted into the standard model of cosmology to account for the Horizon Problem. What evidence for the period is...
Hey guys I'm from Brazil and I'm studying physics to pass in one of the best universities here. However, the physics test is much harder than what we study at school. I am currently working on a book called "Selected Elementary Physics", by MIR Moscou, and I am having a lot of trouble. I don't...