Orbit Definition and 1000 Threads

Homework Statement The equation of the elliptical orbit of Earth around the sun in polar coordinates is given by r =ep/1 − e cosa where p is some positive constant and e = 1/60. Let r0 and r1 denote the nearest and the furthest distance of the Earth from the sun. Calculate r1/r0...

Can we detect any coriolis forces induced from our circular orbit around the Sun ? We're going in a big circle so we should be able to detect some coriolis if we deviate from that circle - ie if we move around a bit instead of following a perfect circular path. Considering the Earth is...

For this problem, I have to find all orbits of given permutation. \sigma: \mathbb{Z} \rightarrow \mathbb{Z} Where, \sigma(n)=n-3 Now, the problem is I do not know how to approach this permutation in the given format. All the permutations I dealt with were in the form: \mu...

I would like to know the Earth Date or Julian Date of the Periapsis, Vernal Equinox or any other point in the orbit for every planet in the solar system excluding Earth.

Homework Statement Consider a spherical, nonrotating planet of mass M, and radius R, with no atmosphere. A satellite is fired from the surface of the planet with speed v0 at 45o from the local vertical. In its subsequent orbit the satellite reaches a maximum distance of 5R/3 from the centre...

Homework Statement Two moons orbit a planet in nearly circular orbits. Moon D has orbital radius r, and moon E has orbital radius 4r. Moon D takes 20 days to complete one orbit. How long does it take for moon E to complete one orbit Homework Equations None - I think The Attempt...

Homework Statement A 10,000 kg satellite is rbiting the Earth in a geostationary orbit. The height of the satellite above the surface of the Earth is ? Homework Equations V = \omega r Newtons gravitational force equation Keplers third law equation The Attempt at a...

I was looking at this link: http://en.wikipedia.org/wiki/File:Universe_Reference_Map_%28Location%29_001.jpeg" and wondered to myself why the asteroid belt just outside of Mars is a ring...as opposed to a sphere. Then I thought, why do all the planets seem to orbit the sun on a similar plane...

Hi, i need to solve the orbit equations that leads to Kepler's third law. The equations are : l = r * [e * cos(theta - theta0) - 1] and l = r * [e * cos(theta - theta0) + 1] where l = (J * J) / (m * k)

Homework Statement A satellite is in a circular polar orbit 240 km altitude. When the satellite is over the South Pole the engine is fired to achieve a polar orbit that has apogee directly over the North Pole. After the impulsive burn an observer on the North Pole observes the satellite has...

So I know this is the orbit-stabilizer theorem. I saw it in Hungerford's Algebra (but without that name). So we want to form a bijection between the right cosets of the stabilizers and the orbit. Could I define the bijection as this: f: gG/Gx--->gx Where H=G/Gx f(hx)=gx h in H ^ Is that...

Homework Statement A satellite is in a circular orbit very close to the surface of a spherical planet. The period of the orbit is T = 1.78 hours. What is density (mass/volume) of the planet? Assume that the planet has a uniform density.Homework Equations T^{2}=4*PI^2*r^3/G*M Density =...

Homework Statement see attachment #12.106 Homework Equations V=R\sqrt{}(g/r) (for a circular orbit) where R is the radius of the Earth and r is the radius of the orbit from the center of the earth conservation of momentum for elliptical orbits: Vara=Vbrb The Attempt at a Solution...

Homework Statement A GEO spacecraft crosses the earth’s equatorial plane when its true anomaly is 30 deg. The eccentricity of the orbit is 0.1 and its initial inclination is 5 deg with respect to the equator. What minimum velocity increment is required to transfer this GEO to an...

Homework Statement On July 1, 2004, the Cassini spacecraft approached Saturn with hyperbolic excess velocity 5.5 km/s to swing by the planet at the closest approach distance rp = 80,680 km. Compute the impulsive ΔV required for a maneuver performed at the closest approach to Saturn to...

Homework Statement Given data: A moon of Mars orbits with a period of 459 minutes. The radius of the moon's orbit is 9.4x10^6 m. What is the mass of mars? Homework Equations The Attempt at a Solution The only relevant equation I could find was Fmars on moon= (G*m1*m2)/(r2)...

Well, the question is that what happen when an electron changes orbits? if it cannot have states in between those orbits, how can it 'move through' those restricted areas? Do the go through those states? or just disappear and reappear without any time lapse, at two different places?? please...

Why is the total energy of an elliptical orbit given by: E_{tot}=\frac{-GMm}{2a} Where a=semi major axis. I agree for a circular orbit I can do the following: F_c=F_g ma_c=\frac{GMm}{r^2} \frac{v^2}{r}=\frac{GM}{r^2} v^2=\frac{GM}{r} Since the total energy also equal to the kinetic plus...

Homework Statement "Supposing that at perihelion a comet is 1 Au from the sun and its speed at that point is 200km/s( in a frame of referance in which sun is stationary). Find its mean PE and KE to one sig digit. Does it satisfy the virial theorem? Homework Equations K= .5mv^2 U=-GMm/r...

In the BBC film Einstein and Eddington, Eddington describes the theory of spacetime using a table cloth (space), a loaf of bread (sun) and a piece of fruit (a planet). The Bread is placed in the middle of the table cloth, this forms curves in the cloth. He then takes a piece of fruit and...

Let say gravity suddenly decreased 10%, - for instance due to tidal friction etc... How fast would a planet decelerate? - How can this be calculated?

Hello, I'm trying to show that the time average of the potential energy of a 2-body system is equal to the instantaneous potential energy of that system when the two bodies are separated by a distance equal to the semi-major axis, a. So I know that U = \frac{-Gm_{1}m_{2}}{r} and the...

If a comet kicks the moon, or any celestial object for that matter, out of its orbit and away from the earth, would it alter Earth's rotational axis?

I'm trying to show that for certain combinations of altitude and inclination there will be periods of the year where a satellite has eclipse-free orbits. Using a satellite-centered celestial coordinate system, in which the orbit plane is the equator and the direction of Earth is fixed along the...

Yes I know someone else has posted something similar but I was wondering if capturing an 150 meter asteroid is possible in Earth orbit? Also can it be done by adjusting the delta v way out from Earth using the tug of a probe that you send to do such a job? (And maybe a final slow down with the...

This is my first post so I hope I'm putting it in the right section :redface: I searched for similar questions but could not find one. Edington preformed his experiment where he observed the bending of light around the sun due to gravity. I have been thinking this past weekend about a...

Hello, I am working on a software application which will require me to generate objects in orbit around other objects. Now, this is my belief, and I am asking for correction if I am wrong--- If given two objects, O1 and O2, with masses M1 and M2, and I want to make O2 orbit O1 at an...

Hi, just wondering about a (probably) easy queation. Was learning about the coriolis effect today and how since the atmosphere is not rigidly connected to the Earth it appears to veer off a northerly/southerly course in a direction depending what hemisphere it occurs in... etc. Basically its...

I noticed on Modern Marvels that they mentioned sometihng about hte first satellite put up for broadcast TV transmission. I think. They mentioned it had an oblong orbit that allowed it to be within tranmission range for only 20 minutes every 24 hours. Why was this? Was there limitations back in...

Homework Statement A point object of mass m is connected to an inertialess string of length L, the other end of which is connected to a fixed point O. At time t=0, the object is assumed to move horizontally in a vertical plane from the bottom point A (OA=L). in the clockwise direction with...

I've read that if a satellite is in low orbit around the Earth, the increased friction due to the atmosphere causing the satellite to slow down and finally fall back to Earth. What if a large celestial body such as the moon is slowed down by some means? Will it eventually fall to Earth? I...

Circular orbit VS Elliptical orbit?? Differences? Homework Statement Hi I am trying to understand some questions about Space and man made satellites...i would really appreciate it if someone could help me out thanks...also i included an extra question about the theory of relativity if you can...

Hi, first time posting here. I'm working on satellite orbit determination and wish to add in perturbing accelearations in addition to the Earth's graviatational field. I will be adding in acceleration due to the moon, sun, atmospheric drag, etc... The acceleration due to the Earth's...

I would've thought something like that would be do-able given we've landed on the moon, but also quite useful for discovering more about it.

Homework Statement Assume the Earth’s magnetic dipole moment is aligned with the Earth’s rotational axis, and the Earth’s magnetic field is cylindrically symmetric (like an ideal bar magnetic). What speed would a proton need to orbit in an exact circle around the Earth at a height of 476...

I'm by no means even adequate in the field of General relativity, so if my question is dumb, please excuse me. Anyways, so I know that from the EFE's you can get the metric for the space-time you are considering, and from this metric you can get the geodesics of this space-time using...

I am currently reading Kenneth W. Ford's book entitled "The Quantum World". In chapter 2 there is a section on Length, and in that section he talks about the size of atoms and electrons. He uses an analogy where the nucleus of a Hydrogen atom is the size of a basketball, and the electron...

Homework Statement A satellite orbits the sun with a period of 2.1 day. What is the radius of its orbit? Homework Equations T=2pi*r/V The Attempt at a Solution If the time is given in days I have to convert to seconds right? Also how would I find velocity would I use V=square...

Homework Statement Satellite in synchronous orbit with equator of Saturn. Find altitude in km. rotational period = 38826 s radius of Saturn = 6.03E7 m mass of Saturn = 5.68E26 kg Gravity constant = 6.673E-11 Homework Equations T^2 = (4pi^2)(r^3)/(Gm) The Attempt at a Solution...

Here's a thought that was bugging me last night: Lets say you placed a very long rigid pole (jokes kept to a minimum please) into orbit so that one end (end #1) faced the center of the earth, and the other (end #2) pointed out into space (So that the center of the Earth and all the points on...

Just a quick question Are the planets totaly locked in there orbits forever or do they slowly get drawn in closer to the sun?either by the sun's gravitational pull or simply by the sun expanding? Thanks in advance for any replys mike

By just knowing the clues like the force of attraction between two masses and angular momentum conservation principle , linear momentum conservation principle and geometry..can we derive the trajectory of the Earth around the sun is ellipse..if so please tell me your ideas..

If this is in the wrong section, I apologize. I've been doing some independent research on the applications of hyperbolic geometry, and I ve hit a rather difficult snag. I've seen in a few places on line that Mercury's orbit can be more accurately calculated using hyperbolic geometry as...

Homework Statement The particle moves in a plane perpendicular to the magnetic field direction as shown in the figure. What is omega, the angular frequency of the circular motion? Express omega in terms of q, m, and B_0. Homework Equations omega=2pi/T The Attempt at a...

disregarding the hyperfine structure and the lamb shift for the moment, spin orbit coupling says that 2S1/2 and 2P1/2 have the same energy. do 2S0 and 2P0 have the same energy? if 2P splits into 3/2 and 1/2 does the 3D orbital split into 5/2, 3/2, and 1/2 and the 4F orbital into 7/2, 5/2, 3/2...

Homework Statement A satellite is fitted with a station keeping rocket capable of producing thrust of 500N. Its speed is 500Km/hr. Mission control wishes to increase the radius of orbit by a factor of 0.5. For how long should the rocket be fired to achieve this? (The weight of the satellite...

Suppose we want to use an asteroid to build a large space station. We could alter the course of a asteroid so that it will come very close to Earth, but the velocity relative to Earth will then be more than the escape velocity of 11.2 km/s. Presumably we must use aerobraking to let it lose...

I have read that an object needs to have a velocity of around 8km/s to not fall back on Earth and to stay on orbit. Based on the above, are all our human made sattelites constantly traveling at around 8km/s to not fall back on earth? Is so doen't it need a lot of fuel? Does it store all this...

Homework Statement Consider a spacecraft in an elliptical orbit around the earth. At the low point, or perigee, of its orbit, it is 400 km above the Earth's surface; at the high point, or apogee, it is 4000 km above the Earth's surface. 1. What is the period of the spacecraft 's...

Homework Statement What is the period of revolution (in minutes) of a satellite orbiting Earth at 161000 m? Homework Equations T^2 = (4*pi*r^3)/(GM) The Attempt at a Solution Well, I plugged in the values, and got T = 5250.925844, but that's not right. T, would come out as seconds...