I just don't even know where to begin. I'm not sure what formulas to use and just can't do anyhting with it. any help would be great. Thanks!
Recall that your trip to Mars is accomplished by using an elliptic transfer orbit going from Earth to Mars as shown in Fig. 1. This trajectory assumes...
The most efficient way to reach Mars from Earth is following the Hohmann Transfer Orbit
(Wolfgang Hohmann, 1925). A spaceship must first get free of Earth (it still orbits the Sun
together with Earth, at 30 km/s, at a distance of 1 AU), then it adds speed so that its aphelion
(in its orbit...
Homework Statement
A binary system consists of two stars of equal mass m orbiting each other in a circular orbit under the influence of gravitational forces. The period of the orbit is τ . At t = 0, the motion is stopped and the stars are allowed to fall towards each other. After what time t...
Homework Statement
A bit of asteroid material of mass 2.5 x 10^6 kg orbits around the Earth at an altitude of 2800km. How long does it take the asteroid to complete one orbit.
M asteroid = 2.5 x 10^6 kg
altitude of asteroid = 2800 km
radius asteroid = 200m
radius Earth = 6.37 x 10^6 m...
Does how black holes inside galaxies orbit around the central black hole tell us anything useful? Could be my noobness, but the idea of a bunch of black holes orbiting a central black hole just seems messy. ha. Have we got the jist of what would happen if a black hole ate another black hole? if...
There was this question in the book, at which place on the elliptic orbit the body has maximum acceleration.
Since acceleration is proportional to force, a = GM/r^2, this should happen when the distance r is minimum, this is when the planet is at perihelion. But the contradiction is that at...
Homework Statement
A comet passes the sun at it's perihelion 5*1010 meters going 1*105 meters/second. Take the mass of the sun to be 2*1030.
a.) Will the comet return to this point? If so, how long until that happens?
b.) How long will it take to travel from perihelion to 60 degrees...
Homework Statement
Based on your observations of the behavior of your computer model of a planet orbiting a star, and on your reading in the textbook, which of the following statements about an elliptical orbit are true?
At any instant the momentum of the planet is tangent to the planet's...
Homework Statement
An approach to the problem of finding how orbital radius changes with solar mass is to solve the radial equation of motion for a gravitational force that has an explicit time dependence based on the assumed rate of mass loss. Show by numerically solving this equation of...
As far as I know: the possible orientations that the total angular momentum can take (given my Mj) are degenerate. if we apply a magnetic field, degeneracy will be lost and different states arise. this is the zeeman effect
but when looking up on google for zeeman effect, a webpage used as an...
Homework Statement
If a comet passes close to the Earth with a velocity of 38km/s, how far is the apocentre of its orbit from the Sun? What is the eccentricity of its orbit?
Homework Equations
Vis-Viva Equation:
(V)_{ecc}^{2} = GM [ \frac{2}{R} - \frac{1}{a} ]
Apocentre distance...
Why does the Earth orbit the Sun, but the Moon pull on Earth's tides? Earth orbits the sun, proving that the Sun has a greater gravitational pull on the Earth than the Moon. However, the Moon control's Earth's tides (unlike the Sun), which proves the opposite-the Moon has a greater...
Homework Statement
Two satellites are launched at a distance R from a planet of negligible radius. Both satellites are launched in the tangential direction. The first satellite launches correctly at a speed v0 and enters a circular orbit. The second satellite, however, is launched at a speed...
Homework Statement
A small particle of mass m is on a circular orbit of radius R around
a much larger mass M. Suppose we suddenly increase the speed at which the mass m is moving
by a factor (that is, v_{final} = α * v_{initial}, with α > 1). Compute the major axis, minor axis,
pericentre...
How many TJ of energy is necessary to get a 300 ton spacecraft from the surface of Venus to 1) orbit at 60520km and 2) to leave the planets gravitational field?
12104km Venus diameter
6052 is Venus radius therefore.
4,9 * 10ˇ24 kg Venus mass
60520km orbit radius
T-1,9 Earth days...
I'm confused by something very simple and stupid. When the mass of a satellite is tiny compared to the body being orbited, we can approximate orbital velocity as sqrt{(GM)/r}
Now its obvious that as r gets larger, the orbital velocity drops. Higher orbits are slower orbits. A...
Homework Statement
A space station moving in a circular orbit around the Earth goes into a new bound orbit by firing its engine radially outaward.This orbit is...
Choices are;
(a) A larger circle
(b)A smaller circle
(c)An ellipse
(d)a parabola
Homework Equations
The Attempt at...
Here is a problem from a physics text
An electron (mass 9.11 × 10−31 kg) orbits a hydrogen nucleus at a radius of 5.3 × 10−11 m at a speed of 2.2 × 106 m/s. Find the centripetal force acting on the electron. What type of force supplies the centripetal force?
I'm not interested in the...
Hi everybody, I'm planning a 2016 mission to the moon similar to Apollo 8 (Orbital mechanics homework). I decided to start from a equatorial parking orbit, and then to perform a plane change. The problem is that I obviously need to know the position of the moon's orbit plane, which, as you know...
Spin and orbit velocity of electron slows down approaching "c"?
If happen a atom to get very close the velocity "c" the time will almost
stop.
What will happen to the velocity of the orbit and spin of a electron? It
will slow down too?
.. Using Keplerian Elements
Hi. Disclaimer: this is the first foray into orbits I've ever taken. I only did mechanics in university and haven't really touched it sincew.
I'm busy coding a simulation of a solar system. I've managed to code a routine to calculate the position of a body along...
Homework Statement
Consider a particle with mass m and angular momentum l in the field of a central force F=\frac{-k}{r^{5/2}}. To simplify your equations, choose units for which m=l=k=1. a) find the value r_{0} of r at which U_{eff} is a minimum and make a plot of U_{eff}(r) for 0<r<5r_{0}...
Homework Statement
does the moon orbit the Earth or the Center of mass of the earth-moon system.
2. Relevant ideas
well, i think that it orbits the COM of the earth-moon system.
If this is the case then is the radius of the moon from the Earth always constant.
ie, if the moon...
How big would an asteroid or comet need to be to say, disturb the moons orbit, either by impact or gravitational attraction? And would this significantly alter the chances of "Death From Above"? :)
Homework Statement
A rocket is in elliptic orbit about the earth. To put it into escape
velocity, its engine is fired briefly, changing the rocket’s velocity by
deltaV . Where in the orbit, and in what direction, should the firing occur
to attain escape with a minimum value of deltav...
Homework Statement
I attached the problem to this post. I need help on the second question and I need to turn it in tomorrow. I'm not sure if I'm supposed to use anything from the first as they are both related.
Homework Equations
U + KE
rvsinθ = rvsinθ
These are all the equations...
I'm looking at some code from a book that details uses the heliocentric position and velocity to compute an orbit of a meteor. See attached pages. At the top of the section at mid-page, page 37, he gives a source, Herget, 1953, Solar Coordinates 1800-2000.
The book was written in the...
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Hello, total layman here. I have some questions & ideas, but no one to discuss them with, so here I am.
1. In the continuum between a completely circular orbit, and a maximally elliptical orbit, what characteristics of the orbital body and the gravitational source...
Homework Statement
I am try to understand how the value of 1370 watts per metre squared for the intensity of sunlight hitting the Earth has been derived. Is there a way to see this mathematically?
Homework Equations
I understand about how the intensity is related to Poyntings vector, by...
Homework Statement
The International Space Station (ISS) circles the Earth at an altitude of 347 km.
What is the period of the orbit of the ISS expressed in minutes?
G=6.67x10^-11 N * m^2 /kg^2
M(Earth)=5.98*10^24 kg
Homework Equations
T^2/R^3 = (4Pi^2)/(GM)
So: T^2=...
Homework Statement
A geostationary satellite goes around the Earth in 24hr. Thus, it appears motionless in the sky and is a valuable component for telecommunications, including digital television. If such a satellite is in orbit around the Earth at an altitude of 35 800 km above the Earth's...
Homework Statement
How much energy is required to move this satellite to a circular orbit with a radius of 2.50×104 miles?
I've found the answer to Part A of this problem to be 1.59*10^10, if this helps solve the above^^
(Find the kinetic energy of a 1.80×103 kg satellite in a circular...
The Earth orbits the sun in an approximately circular
orbit of radius 1.496 * 10^11 m (about 93 million miles)
in a period of 365 days. Use these data to determine
the mass of the sun.
Solution:
F = (Ms)(Me)(G)/r^2
I have two unknowns... F and Ms... please give suggestions because I...
I don't know what the speed of light c is doing in the Hamiltonian for the Landau quantization. The term doesn't have dimensions of momentum anymore. :confused:
\hat{H}=\dfrac{\hat{p}^2_x}{2m}+\dfrac{1}{2m}\left(\hat{p}_y-\dfrac{q|\vec{B}|}{c}\hat{x}\right)^2
Any ideas?
thanks.
Homework Statement
A 5530-kg satellite is in a circular Earth orbit that has a radius of 1.81 × 10^7 m. A net external force must act on the satellite to make it change to a circular orbit that has a radius of 8.01 × 10^6 m. What work must the net external force do?
Homework Equations...
Homework Statement
A spacecraft moves in a circular orbit with a speed of 7.60E+0 km/s with a period of 95.1 min. What is the radius of the spacecraft 's orbit?
My answer, which is correct, is 6.90×106 m
What is the radial acceleration of the satellite?
8.37 m/s^2 was my answer, and it...
How to simulate planets orbit curve around the sun ?
Hi
I'm about to write a java program where I wish to simulate planets orbit curve around the sun, so that I can set the speed of a planet and mass of planet and sun and simulate the curves around the sun (just basic simulations). I only...
Homework Statement
When it orbited the Moon, the Apollo 11 spacecraft ’s mass was 7170 kg, its period was 121 min, and its mean distance from the Moon’s center was 1.87167 × 106 m. Assume its orbit was circular and the Moon to be a uniform sphere of mass
7.36 ×1022 kg. Its orbital speed was...
Homework Statement
Suppose that Captain Omega of the Imperial Space Patrol wishes to place a spy satellite in geosynchronous orbit above the mysterious Planet X, which has a mass of 5.90 x1024 kg, and a rotational period of 26.4 hours.
(a) What should be the radius of the satellite's orbit...
Hi,
I am curious whether that when the Earth is in its closest position to the Sun, the Suns gravitational pull has a direct effect on the Earths orbital speed. Since the speed of an object has an effect on time. Would the increase in speed affect time in general. Of course the time is...
If two bodies are moving about a common point, with one orbiting the other, in a completely circular orbit, from knowing just their periods (which are equal) and the graviational constants of each body times mass, how would you determine the radius of each of their circular orbits?
You can get...
For a satellite in circular orbit above earth, state how the following properties depend on radius?
a) period
b) kinetic energy
c) speed
This is the question i need help with folks... I've answered it using words so far (correct me if I'm wrong) but I'm wondering how i could go about this...
Homework Statement
The most energy-efficient method of getting a spaceship from one planet to another is via a Hohmann (transfer) orbit. The ship's launch is aimed in such a way that the perihelion and aphelion of the ship's orbit is tangent to the circular orbits of the two planets and timed...
Hello everyone! Should be obvious it's my first time here. I'm looking for assistance not for myself, but for my girlfriend. She's got a college science class that up until now I was able to help her with, but unfortunately my physics knowledge (one year in high school, eight years ago now) did...
[Solved] Proton orbit direction
Homework Statement
A solenoid has a magnetic field in the +z direction. A proton in the center of the solenoid moves towards the sides sides of the solenoid. Will this proton move with a clockwise or counterclockwise motion?
Homework Equations
F = qv x...
Relative some arbitrary point in Earth’s orbit around the Sun, does Earth experience varying degrees of time dilation specifically from gravity?
With Earth's orbit around the sun being elliptical I wondered if Earth experiences varying degrees of time dilation caused by the suns gravity (or...
Homework Statement
There is no general analytical solution for the motion of a three-body gravitational system. However, there do exist analytical solutions for very special initial conditions. The figure below (see attachment) shows three stars, each of mass m, which move in a two-dimensional...
Homework Statement
Distance from Earth to sun = 1.50 * 1011m
Earth's orbital period = 3.16 * 107 s
Distance from venus to sun = 1.08 * 1011m
Venus's orbital period = 1.94 * 107 s
Both orbits around the sun are coplanar, and the transit of venus about the sun is observed by a telescope on...