Orbital Definition and 790 Threads

Matlab 2-D Simulation for TLI (Trans Lunar Injection) "Basic Orbital Mechanics" Hi Everyone, I have been assigned a project in which I am to program in MATLAB the solution to the 3-body problem, but in 2-D with a couple assumptions. 1) Earth and Moon are stationary. 2) Mass of spaceship...

Homework Statement the solar maximum mission satellite was placed in a circular orbit about 150 miles above earth. Determine (a) the orbital speed of the satellite and (b) the time required for 1 complete revolution Homework Equations The Attempt at a Solution

ok just a couple orbital questions I forget the equation that needs to be used and do not have my textbook with me so if anyone knows the equation for finding orbital speed that would be great! 1. calculate the speed of a satellite in orbit 9.5 x10^3 km above jupiter. radius of Jupiter =...

If you are at the distance R from a planet and you want to achieve a circular orbit your velocity must be Sqrt[Gm/R] perpendicular to the radius vector. But what if you launch at an angle (ie no longer perpendicular to the radius)? Is it still possible to achieve a circular orbit if the...

Hey guys, I got the following problem. It seems east, btu I still have no idea how to get started on this one:frown:

Can you find the orbital velocity of a planet which a satellite has to obtain in order to revolve around the planet with this formula: v = \sqrt{\frac{Gm_E}{r_E}} G = gravitational constant 6.67*10-11 mE = Mass of a planet rE = the radius of the orbit rE = h + r h = height of the...

Homework Statement Graph the relationship between the speed of a satellite orbiting a large mass in uniform circular motion. Also I need to learn how to properly write proportionality constant and proportionality equation. Homework Equations in the equation below, m is the mass of the larger...

The Uncertainty Principle is largely mathematical. For any two probability densities, if one is the Fourier Transform/Inverse Fourier Transform of the other, then the product of their variances is always greater than zero. Thus, energy and time, and momentum and position, via the squared...

Homework Statement In recent years, a number of nearby stars have been found to possesses planets. Suppose, the orbital radius of such a planet is found to be 4.3 times 1011 m, with a period of 1080 days. Find the mass of the star. Homework Equations ? The Attempt at a Solution I...

Homework Statement In a classical model of the hydrogen atom, the electron moves around the proton in a circular orbit of radius 0.053 nm. A) What is the electron's orbital frequency? Homework Equations F = qE E= kq/r^2 angular velocity = v^2/r The Attempt at a Solution I'm...

Hi all: As we know, if we solve the schrodinger equation, the ground state wavefunction is independent of theta and psi. We find the expectation value of ground state orbital angular momentum is zero. But if we don't do any mathematical calculation, can we conlude that? For example, Due to...

Homework Statement I've found the a general form of equation for the explicit integration of the shape, r(\theta), of a one-body-problem (a particle rotating about a set point, O) for arbitrary \mathbf{f} = -f(r)\hat{\mathbf{r}}, and used it to find r(\theta) for an inverse square law f(r) = \mu...

Does anyone know a good link to an animation or nice diagram showing how our solar system orbits the center of our milky way? I always imagined the milky way's plane, where most of the material is accumulated, as a record, granted, with a bigger bulge and 2/3 out from the center of that record...

Hi, I have a few question about orbitals 1. What does psi or wave function represents? 2. When talking about orbitals what does phases actually mean (does it relate to charge and electron spin)? 3. What's the mechanic behind when phases cancel out to create sigma*1s antibonding...

Hi, I have a little question about atomic models 1. Does Rydberg equation only apply to hydrogen 2. What is the purpose and limitations of molecular obitals

If electrons are found somewhere within an orbital, what kind of energy they have? In other word, if kinetic and potential energy of electrons change with time in the ground state of atoms?

i want to know if the Earth change its orbital velocity along the day? as i heard that due to its elliptical shape the distance between the Earth and the sun slightly change during the day (increase then decrease again) ,so the orbital velocity also has to change to compensate this change in...

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 asteroid revolves around the sun with a mean orbital radius twice that of Earth's. Predict the period of the asteroid in Earth years Homework Equations I guess t^2/r^3 where t = period and r = mean orbital radius The Attempt at a Solution I missed the...

1. The mass of the sun is decreasing as dM/dt=-constant .M Find [dr/dt]/r for the earth Homework Equations [b]3. I tried using M=M0-alpha. t and then separating the variables in the equation GMm/r^2=mdv/dt. I don't knot the right way to solve this. Plz tell me how to solve this...

Consider a hydrogen atom with an electron in some excited state. Now, in order for an electron to drop to a lower state, a photon of a specified energy, which is determined by the energy difference of the two states, must be emitted. Do we know what happens to the electron during this...

Homework Statement -Suppose you have traveled to Sirius B with its radius of 5,842,200 m and mass of 1.945 x 10^30 kg. You are traveling in a spaceship 100 meters long. After arriving at close to the speed of light, you slow your spacecraft down to a velocity of only 43.19km/sec at a...

Say I know the total angular momentum of my electron as J. If I write the total magnetic moment as \mu = \gamma J then does \gamma = \gamma_{spin} + \gamma_{orbital} ?

Homework Statement Io, a satellite of Jupiter has an orbital period of 1.77 days and an orbital radius of 4.22 x 10^5 km. From this Data determine the mass of Jupiter Homework Equations 4pie^2/GM Kepler's Third Law The Attempt at a Solution I keep getting turned around. I know the...

In 2004 astronomers reported the discovery of a large Jupiter-sized planet orbiting very close to the star HD 179949 (hence the term "hot Jupiter"). The orbit was just {1 \over 9} the distance of Mercury from our sun, and it takes the planet only 3.09 days to make one orbit (assumed to be...

Does the energy of an electron happen to be related by any chance to En= -13.6/n2?

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 A geostationary satellite in orbit around the Earth has a period identical to that of the Earth's daily rotation; the radius of such an orbit is 4.23 \times 10^4 kilometers. A system of satellites is proposed such that 15 satellites are in orbit at the same radius and each...

A geostationary satellite in orbit around the Earth has a period identical to that of the Earth's daily rotation; the radius of such an orbit is 4.23 \times 10^4 kilometers. A system of satellites is proposed such that 15 satellites are in orbit at the same radius and each passes over a point...

STATEMENT: A system is known to be in the normalized state described by the wave function \psi(\theta,\phi)=\frac{1}{\sqrt{30}}(5Y_4^3+Y_6^3-2Y_6^0) What is the probaility of finding the system in a state with azmithual orbital quantum number m=3?WHAT I HAVE: We know that...

Homework Statement A satellite is in circular orbit above the Earth at an altitude of 7000 km. What is the orbital speed of the satellite?Homework Equations Well, knowing that the mass of Earth of 5.98 X 10^24 kg And the radius of Earth is 6.38 x 10^6 m What equation do I start with here...

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...

Ok I remeber a question on my physics test. where there's a planet orbiting a star in some other solar system. heres what was given to me. the radius,and the time it took for it to finish 1 revolution. I was asked to find the mass of the sun, that the planet was orbiting around so here's what...

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...

My first post on this site, been reading for a while but joined up today so please bear with me :) I've got an assignment for my University orbital mechanics course. I couldn't find the place in the 'Homework' section, so i thought here would be ok. I've got a few pretty simple...

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 have been fighting about this with my inorganic chemistry professor for the past week. As far as I can tell when you take the radial wave function for the 1 s orbital, square it, then times it by r^2, you get a zero probability to find the electron in the middle of the 1s orbital, and a local...

Im doing a school project where we need to come up with an accurate way to measure the moons orbital velocity with an experiment... My plan was to find the radius of the moons orbit, then its period, and based on a distance over time find its velocity. However i realize I am making a serious...

Can someone tell me how or an idea on how to start this problem? A positron is an elementary particle identical to an electron except that its charge is +e. An electron and a positron can rotate about their center of mass as if they were a dumbbell connected by a massless rod. What is the...

are there two points or one in an elliptical orbit where the speed is equal to the speed of a circular orbit at the same radius? if so what is the expression for this point? Thank you

Homework Statement A science group put in a satellite of mass m kg into a circular Earth orbit of radius r. The orbital velocity it needs to remain in this orbit is v. They now put another satellite into a similar orbit at the same altitude. Its mass is 3 times m. What orbital velocity would...

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...

what are the formulas for orbital and spin angular momentum? Or both have the same formula? The formula J=mvr is for orbital or spin angular momentum?

I am writing a program to do some orbital simulations. For ease of conversation, let's start with the sun and the earth. If the Earth were standing still, the sun would pull it in quite rapidly. As the Earth is moving at about 1.47 kilometers per second, that movement creates a force opposing...

I know they must use some sort of wave equation to calculate the exact orbitals of an atom, but I'm interested how they can be so absolutely sure that their calculated configurations are not wrong, what do they use calculus...matrices...etc?

Hello, sorry I am new to this forum, I hope I found the right category. I have a question about the momentum operator as in Sakurai's "modern quantum mechanics" on p. 196 If I let 1-\frac{i}{\hbar} d\phi L_{z} = 1-\frac{i}{\hbar} d\phi (xp_{y}-yp_{x}) act on an eigenket | x,y,z...

My mathematical knowledge of QFT is nonexistant (I'm only just starting grad school) so I was wondering if anyone could clear up a questions I have: 1) Can the time it takes for an electron (which has just absorbed a photon of the correct frequency) to move to a higher orbital be said to be...

Homework Statement For the hydrogen atom, determine the principle quantum number corresponding to an orbital of radius Rn=0.01mm Homework Equations I'm using the following formula: Rn=(n^2)(Ao)/Z Where Rn is the orbital radius (0.01mm), n is the principle quantum number (wanted) Ao...

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...