Orbit Definition and 1000 Threads

Why is j=0 to j'=0 forbidden by the parity rule if spin orbit interaction is significant?

Hello, I am planning to design, and maybe build, a CubeSat, or a satellite that is 10cm x 10cm x 10cm, and weighs less than about 1.5 kg. I am looking to have 6 solar panels on the cube, one on each face, and also have a full 360º in all directions radar, along with a GPS and some radio...

How we can prove (using geomtry and not differential equation) that the orbit of planet have to be a conic section.

I am programming a game that involves objects orbiting in 3d space circularly around an axis. I have the orbits working for a fixed radius using centripetal forces, however, I want to be able to change the radius while the program is running. I have tried to just make the magnitude of the...

Homework Statement How much work must be done by a rocket engine to lift a 1000kg payload from rest on the Earth's surface to a circular orbit of radius 2Re (2 times the radius of the earth)? Homework Equations Eg = -GmM/r Ek = GmM/2r The Attempt at a Solution I know ΔE = W I...

1. The pro blem statement, all variables and given/known data the question: 9.0 × 10^3 kg satellite orbits the Earth at the distance of 2.56 × 10^7 m from Earth’s surface. What is its period? They give me a multiple choice, but let's figure this out without it. okay so my variables known...

Homework Statement A 6000 kg lunar lander is in orbit 80 km above the surface of the moon. It needs to move out to a 200 km -high orbit in order to link up with the mother ship that will take the astronauts home. How much work must the thrusters do? Homework Equations...

What would the equation be for the distance of an object orbiting another object in an elliptical orbit with time as the variable? How would I derive this equation? A comet would be an example. I am looking for the equation that would plot the distance from the sun at any given time.

For an object in an elliptical orbit around the moon, the points in the orbit that are closest to and farthest from the center of the moon are called perilune and apolune, respectively. These are the vertices of the orbit. The center of the moon is at one focus of the orbit. A spacecraft was...

If the proton in the nucleus of, say a hydrogen atom, exerts an attractive force on an electron that is in orbit, why doesn't the electron move towards the proton? And does this have anything to do with the electric force being the centripetal force?

Homework Statement A comet from the Oort cloud, with perihelion 6AU, is perturbed by Saturn into an orbit with perihelion 4AU. What is the semi-major axis and eccentricity of the new orbit? Homework Equations Perihelion = a(1-e) The Attempt at a Solution hey i could really...

Homework Statement A satellite is to be launched from Earth to venus. It is to make two complete circuits of the earth, then travel to venus, and complete one orbit of venus in 12 hours. Find the velocities of the satellite around venus, around the earth, and the radius of the orbit around...

Homework Statement 1. Give a calculation for the approximate temperature needed for nuclear reactions in the sun? 2. Give a calculation for the period of two stars in the shortest possible orbit? The Attempt at a Solution 1. Our class just covered the first chapter of our book 'Stellar...

Just looking for a place to start, not all the work. Homework Statement 3 The asteroid belt between Mars and Jupiter consists of many fragments (which some space scientists think came from a planet that once orbited the Sun but was destroyed). (a) If the radius of the asteroid belt (where...

Homework Statement What is the height of a geostationary satellite measured from the Earth's centre? Homework Equations r^3/T^2 = GM/4pi^2 T of Earth = 3.16 * 10^7 s The Attempt at a Solution GM/4p2 = r3/T2 3root[T2 * GM/4p2 ] = r 3root[(3.16*107 s)2 *...

Homework Statement A comet of mass 5x10^16 kg moves in an elliptical orbit around the sun, with the sun at one focus. At the perihelion, 10^6 m, the comet has a linear velocity of 1.5x10^7 m/s. Find the angular momentum of the comet with respect to a focus at the sun. Homework Equations...

Homework Statement We have been asked to work out the approximate time of orbit, T, of a satellite orbiting above the centre of Mars, radius 4000km.Homework Equations We have been given the equation: R^3/T^2 =1x〖10〗^13 m^3 s^(-2) The Attempt at a Solution When using the equation...

Can someone explain the cause of the Precession of Mercury’s Orbit in a "language" so simple that my grandmother can understand it? I mean only the part (43 arc second) that is due to relativity.

Gday all, I was just wondering if we would experience a (very small) centrifugal force due to the Earth's rotation around the sun or not. I don't think there would be because the Earth and everything on it is in a state of free fall around the sun, but I have been told there would be a...

Homework Statement (a) Derive an expression for the electron's speed in the nth Bohr model. (b) Prove that the orbit with highest speed is the n = 1 orbit,with v(1) = ke^2 / h compare this with the speed of light , and comment on the validity of ignoring relativity (as we did) in...

Tidal effects in the Earth-Moon system are causing the Moon's orbital period to increase at a current rate of about 35 ms per century. Assuming the Moon's orbit around the Earth is circular, to what rate of change in the Earth-Moon distance does this correspond? Hint: differentiate Kepler's...

Last chance to see Discovery in orbit! Discovery has separated from the ISS and they can be seen in early evening (great for kids) in much of Canada and the northern part of the US over the next few days. Go to this NASA site and punch in your country, state/province, and select a city near...

Homework Statement If there's a satellite(not man-made although I wonder it would matter) is chaotically orbiting around two planets, will it ever cross the same orbital path twice or not? Homework Equations The Attempt at a Solution I think if the system is chaotic, it will not...

I understand that an electron can gain and lose energy, but before this, the electron is spinning around the nucleus of an atom. Since motion requires energy, what is the energy that keeps the electron spinning. Further- since there is loss in every system- if no energy is applied or taken...

Homework Statement The gravitational field strength on the moon, which has a radius of 1.74 x 10^6 m, is approximately 0.17 as large as the gravitational field strength at the surface of the earth. The satellite is at an altitude of 100km above the moon. What is the radius of the orbit of...

in analysis of close binary stars, it is assumed that their orbits is circular and then by a rotating coordinate system, potential is obtained and then lagrangian points and so on... Is the orbit of CLOSE binary stars nearly circular in reality or is it assumed circular because otherwise it is...

Hi all, I have a gravitationally bound rubble pile asteroid. This asteroid reaches and exceeds 'critical' spin where centripetal force exceeds gravitational force and surface material is launched off the surface. At what minimum initial velocity would the surface material need to be to...

I was just wondering why, if the gravitational force exerted on it by the Sun is greater than the one exerted on it by the Earth, the Moon stays in orbit around the Earth? Is it due to angular momentum or are there any other factors?

Homework Statement Calculate the energy of a 100kg satellite associated with a geostationary orbit around a planet. Homework Equations Kepler's 3rd Law: T^{2} = \left( \frac{4 \pi^{2}}{GM_{p}} \right)r^{3} Velocity equation: v = \sqrt{\frac{GM_{p}}{r}} Planet mass: M_{p}...

I've read on PF that you can't shoot something, like from a big gun, into Earth orbit; it will either fall back to Earth or attain escape velocity and be gone forever. Instead, you need a separate rocket burn to insert the object into orbit following launch. Makes good sense to me. So we are...

I have been doing some study on the theory of relativity and it has got me thinking. We say that the Earth revolves around the Sun but from what reference frame? From the reference frame of Earch, we are stationery and the Sun simply spins. Why is any reference frame more accurate than another...

Homework Statement Suppose that a satellite is in a circular orbit at a height of 2.00x10^6 m above Earth's surface. What is the tangential speed of a satellite in this orbit? Homework Equations vt=rw The Attempt at a Solution I have been stuck for almsot 30 minutes, I think that...

I have been searching the internet for the last few days with no luck, due probably to the improper phrasing of my searches, for what I think is a fairly straight forward set of answers. Basic Question: "Are there equations to graph the orbits of our solar system's planetary bodies on to a...

Homework Statement I have been able to complete section a and b but c doesn't match the answer a)The acceleration of free fall at the surface of a planet is g and the radius of the planet is R. Deduce that the period of a satellite in a very low orbit is given by T=2pi sqrt(R/g). b)Given...

Hey guys, I did some basic research on the transfer orbit to Mars. It turns out that Hohmann Transfer Orbit is the most fuel efficient. What I really want to know is that if there is any other type of transfer orbit proven valid that is the quickest. Really appreciate your help!

Homework Statement A positively charged Helium atom has two protons in the nucleus and one electron in the shell, in a classic model of the atom, this electron is in a circular orbit around the nucleus with an angular momentum of 4.718x10^-34 Js. What is the radius of the orbit?Homework...

Homework Statement NASA would like to place a satellite in orbit around the moon such that the satellite always remains in the same position over the lunar surface. What is the satellite's altitude? Homework Equations T^{2} = \left(\frac{4\pi^{2}}{GM}\right)r^{3} The Attempt at a...

Hello Forum, This is my first post. There is some preamble, but the problem itself is straightforward enough, even though I cannot solve it. I'm trying to calculate the spin orbit matrix for an alkali metal atom at the centre of a complex of 12 noble gas...

Homework Statement (a) In terms of energy expenditure: 1. Which planet in the solar system is easiest to reach? 2. Which major body in the solar system is hardest to reach? Why, and what shape orbit would be needed to get there? 3. Which of the following scenarios requires more...

It certainly seems like it. People are far more excited about Titan than they are about Saturn. And the same is true for several other Saturnian moons. Same with Jupiter and its 4 biggest moons. People seem to care more about its 4 moons than Jupiter itself. I'm no exception. But certainly, I...

You know how orbits are made of ellipses and ellipses are made out of two foci? I'm trying to find a formula where I can extract the position of the other focus point, relative to (0,0). By the other focus point I mean the one that's generally out in space. Very much like how the...

Homework Statement A Hohmann transfer orbit is a way of transferring a spacecraft between two planetary orbits (which we shall assume are circular) by using one half of an elliptical orbit about the Sun. A spacecraft is initially moving around the Sun with the orbital speed V1 of the...

Homework Statement A satellite is in a circular, geosynchronous orbit (makes one revolution around Earth in 24 hours). Calculate the distance in meters from the satellite to the Earth's center. Mass of Earth = 5.97 x 1024 kg Homework Equations T=((2*Pi)*r^(3/2))/sqrt(GM) The...

Good day to all :wink: I would like to find out the amount of man-made objects rotating around the Earth at high altitudes, more precisely beyond the geostationary orbit, for example at the altitude of 45 000/50 000/60 000 km above the sea level. Are there any data available for this purpose? I...

Homework Statement If given a speed of a spacecraft , and a radius from the sun, how do you prove that it was or was not in a circular orbit about the sun? Homework Equations The Attempt at a Solution To prove it is not do I just find the mass of the spacecraft and the size of...

The problem I am struggling with is this . . The centre of the Earth-Moon system is 4.7x10^3 km from the centre of the earth. Calculate; i.the ratio of the mass of the Earth with the mass of the moon. ii.The acceleration of free fall on the Moon's surface. Constants Distance between...

Homework Statement Determine how much energy is needed to move a satellite of mass 500kg to an orbit of height equal to Earth's radius.Homework Equations Gravitational Potential: V = \frac{-GMm}{R} Where M is the mass of Earth (6*10^24kg), m is the mass of the satellite (500kg) and R is the...

Homework Statement At its perihelion in February 1986, Comet Halley was 8.79x10^7 km form the Sun and was moving at 54.6 km/s. What was its speed when it crossed Neptune's orbit in 2006? Homework Equations K0+U0=K+U The Attempt at a Solution I know I need to do this using...

If most of the universe falls into a massive black hole, will it be possible for the Earth to be kept away from it, for example by going into orbit of the black hole? In this situation, the Earth would be the last remaining matter outside of the black hole as everything else in the entire...

Homework Statement http://www.its.caltech.edu/~tmu/ph1a/FPs/fp12.htm this is the question. Homework Equations T^2=\frac{4\pi^2a^3}{GM} E=-\frac{GMm}{2a} The Attempt at a Solution I have none. My question is, does the fact that there are two planets affect the equations for period and...