Orbital Definition and 820 Threads

  1. G

    What is the equation for calculating orbital period?

    Ok just a quick question trying to work out the orbital period of an asteroid around the sun which has an orbital period 4times that of the Earth which is 1.5*10^11m i worked out the radius of the asteroid to be 6*10^11 but can't find the equation for the orbital period. Does anyone know it...
  2. C

    Orbital radius vs period question

    Homework Statement a satellite has period T and orbital radius R. If you wish to increase the period to 8T what must the new orbital radius be? (answer is 4R, I just don't know how to get it) Homework Equations The Attempt at a Solution
  3. C

    What Must the New Orbital Radius Be to Increase the Period to 8T?

    Homework Statement a satellite has a period of T and orbital radius R. If you wish to increase the period to 8T what must the new orbital radius be. (answer= 4T, I just don't know how they got it) Homework Equations R1 cubed/ T1 squared = R2 cubed/ T2 squared The Attempt at a...
  4. S

    Planetary Motion, calculation of orbital period

    Hi everyone, I'm really confused with a particular question: Homework Statement A space shuttle orbits the Earth at 6720 km from its centre. The gravitational field strength is 8.9N/kg. Calculate the shuttle's orbital period in minutes... Homework Equations g=4pi^2...
  5. J

    Why Don't Cowell's and Gauss' Methods Match for Osculating Orbital Elements?

    Homework Statement The orbital elements (a,e,i,w,Omega,f) are to be integrated forward in time using two methods: 1) Cowell's method, which is direct interation, and 2) Gauss' Variational diffeential equations. The full assignment description, initial conditions, and my code are given in the...
  6. L

    Quick question about orbital angular momentum

    I was asked for the energy and orbital angular momentum of a hydrogen atom in the 6f state. Thus, with n = 6 I found E to be -0.378, a straightforward calculation. I am confused about L, though. L = sqrt[l(l+1)]. Since n = 6, I thought l = n-1, so L would be sqrt(30)*h-bar, but the answer is...
  7. O

    Energy to Increase Orbital Radius

    Homework Statement An Earth (mass M) satellite of mass m is in a circular orbit of radius r1. It is moved to an orbit with a larger radius r2 by way of an intermediate elliptical orbit. This is achieved by firing rockets for a short period when it is in the inner orbit, and then firing the...
  8. M

    Finding ortibal period and orbital speed PLEASE HELP

    Homework Statement GPS (Global Positioning System) satellites orbit at an altitude of 2.6×107 . Find the orbital period. Find the orbital speed of such a satellite. Homework Equations I would like to know how to approach this. I don't know where to start w/o other figures. The...
  9. A

    Calculating orbital speed/period

    Homework Statement The mass of the sun is 2x10^30kg and the planet Jupiter averages an orbital distanceof 5.2 AU. Calculate the orbital speed (in mph) and orbital period (in Earth years) of Jupiter relative to the Sun: One AU is one Astronomical Unit which is the average earth-sun distance...
  10. amarante

    Orbital Angular Momentum with eccentricity

    Homework Statement Considering a two-body problem, star-planet, prove that the angular momentum of the planet is given by: \begin{equation} {\cal L}_{e} = {\mu}\sqrt{GMa(1-e^2)}, \end{equation} $\mu$ is the reduced mass M is the star mass a and e are the semi-major axis and...
  11. A

    Specific Orbital Energy confusion

    If specific orbital energy for an elliptical orbit is -\frac{\mu}{2a} , shouldn't that mean that the further from the Earth an orbit is the lower its specific orbital energy? The Wikipedia page on specific orbital energy (admittedly not the best source) indicates the opposite, and if it were...
  12. M

    I am confused about the orbital velocity

    Hello, We know that to calculate the orbital velocity we use the relation : Vo=2* pi* r /time of one cycle but if we want to calculate the orbital velocity when a body moves from the point a to the point b on a circular path we use the relation : Vo = The line segment ab / time...
  13. B

    Why these four 2p orbital electrons have higher energy state configuration?

    This picture is from XPS and AES. Hi. sorry for my poor English first. As you can see from above picture, four electrons located at 2p orbital with energy state L3 have higher energy configuration than those of below 2p orbital. I'm wondering why these 4 electrons have higher energy. as...
  14. I

    Exploring the Orbital Period of a Rod-Mass System

    Homework Statement I've worked through part (iv) of this problem, but I am not sure if I shown enough calculation. The most important parts of the question, to put it all in context: (i) The gravitational force on a body of mass m at a distance r from the Earth with mass mE. The time it...
  15. K

    Solve Orbital Shapes Homework: 2 Questions

    Homework Statement (1) Which of the following clusters of orbitals would form the shape shown here http://session.masteringchemistry.com/problemAsset/1076900/19/1076900b.jpg and would also be possible within the valence shell of an atom? a.) one d orbital b.) five d orbitals c.) five sp^3...
  16. S

    Distorted orbital shell when E-field applied (Dielectrics)

    Homework Statement Єr = 3.0, atomic density = 1028 atoms/m3. The mag. of the E-field is 10,000 [V/m]. Two electrons in outer orbital shell will distort with an applied E-field. If both both electrons follow some orbital path as a pair, find spacing between center of nucleus and average...
  17. G

    Exploring Orbital Motion Around Earth

    orbiting earth! Hope iposted this question in the right spot!. If i launched something in space and then stopped its forward momentum wouldnt the Earth gradually move away from it and pick it up again so to speak..a year later?
  18. A

    Orbital Mechanics - effect of thrust on v, R, a

    Homework Statement A spacecraft orbits around the Earth at a tangential speed v and a radius R, in accordance with the equation a_{c} = \frac{v^{2}}{R} . a) If the spaceship's engines exert a force parallel to its instantaneous vector of motion, what is the effect on the quantities...
  19. C

    Solve Orbital Velocity Equation: V=sqrt((g*R^2)/r)

    I have a homework problem that involves the equation v=sqrt((g*R^2)/r) I am confused as to where this equation comes from. I know that Vcirc = sqrt((GM)/r) and Vesc = sqrt((2GM)/r)
  20. S

    Where Am I Going Wrong in Calculating the Orbital Period?

    Homework Statement Calculate the Orbital Period for the following: Earth's orbit to the Sun. I get stuck towards the end. I must use Newton's second law and have the Universal Law of Gravitation equal the Centrifugal Force. Newton's gravitational constant: G= 6.67*10^-11 Nm^2/kg^2 Mass of...
  21. M

    Satellite orbital speed homework

    [b]1. A satellite has an orbital speed of 4.2 x 10^3 m/s. What is its altitude above Earth's surface? mass of earth= 5.98x10^24kg radius of Earth = 6.38x10^6m [b]2. acceleration and force are both centripetal a=(v^2)/r F=ma possibly v^2=(Gmg)/r [b]3. Need help with algebra h=...
  22. Amith2006

    Why is Orbital Angular Momentum Quantized in Quantum Mechanics?

    When I was trying to learn the reason for the Orbital angular momentum quantum number taking only whole number values, I stumbled across the wiki site on the same, which says that, Angular momentum in quantum mechanics In quantum mechanics, angular momentum is quantized – that is, it...
  23. A

    Is Relative Motion Evidence of a Static Aether in Orbital Physics?

    When a moon orbits around a planet, its centripetal force is balanced against the gravity of the planet, keeping it in a stable orbit. If all motion is relative, then the moon in perfect orbit could be said to be standing still while the planet rotates under it. The major difference I see is...
  24. M

    Net Gravitational Force on Object #1 with Distances A and B

    Homework Statement What is the magnitude of the gravitational force on object #1 as a result of object #2? Distance A = 0.383 m and distance B = 0.271 m. the diagram for the problem is here: http://students.physicsygoodness.com/user/1/graphics/image001.gif Homework Equations Fg=...
  25. N

    Solving the Shuttle's Orbital Recovery: Angular Momentum

    Homework Statement A space shuttle S and a satellite A are in the circular orbits shown. In order for the shuttle to recover the satellite, the shuttle is first placed in an elliptical path BC by increasing it's speed by deltaVb=280 ft/s as it passes through B. As the shuttle approaches C, it's...
  26. C

    Finding the orbital height of a satellite

    Homework Statement I have to find the orbital height of a satellite with a specific g force (ie. the acceleration due to gravity). g=5.7(ms)2 Homework Equations So far I have been using the equation g=Gm/(r+h)2 to find the acceleration due to gravity, where G= gravitational...
  27. B

    Calculating Jupiter's Mass from Orbital Data

    Io, a satellite of Jupiter, has an orbital period of 1.43 days and an orbital radius of 4.35X10^5 km. From this data, determine the mass of Jupiter. So step one: I cried. then I tried to use the equation: T^2=4(pi)^2/(GXMj) X R^3 thus (123552)^2= (39.478)/(6.672X10^-11)(Mj) X...
  28. M

    Sun’s contribution to total orbital angular momentum of Sun-Jupiter orbit

    From Carroll and Ostlie “An Introduction to Modern Astrophysics” prob 2.6 b After determining angular momentum of sun-jupiter orbit system in part a, the question then asks you “What contribution does the sun make toward the total orbital angular momentum. It says assume Jupiter is in a...
  29. Ranku

    Orbital period decay and gravitational waves

    We know that the orbital period of binary stars decay due to the emission of gravity waves that carry away energy from the system. What is the form of the energy loss of the system: kinetic energy or potential energy?
  30. Ranku

    Orbital period decay and gravitational waves

    We know that the orbital period of binary stars decay due to the emission of gravity waves that carry away energy from the system. What is the form of the energy loss of the system: kinetic energy or potential energy?
  31. G

    Hamiltonian being a function of either orbital and spin operators

    Homework Statement The title presents my problem. I know in principle how to find eigenvalues and eigenfunctions of the Hamiltonian if it depends only on orbital operators or in spin operators. On the other hand I have no clue how to solve it if there are both types of operators. The...
  32. G

    Hamiltonian being a function of either orbital and spin operators

    Homework Statement The title presents my problem. I know in principle how to find eigenvalues and eigenfunctions of the Hamiltonian if it depends only on orbital operators or in spin operators. On the other hand I have no clue how to solve it if there are both types of operators. The...
  33. R

    Orbital Speed: Earth vs Moon - How Does Altitude Affect Orbital Velocity?

    Just can't get my head around this one. If at 100Km high above Earth the orbital speed to maintain altitude is X, then what would the speed be for the same object around the moon? Since gravity of the moon is smaller then earth's? I assume the orbital speed would need to be less?
  34. B

    Mercury's Orbital Precession Anomaly

    The perihelion of Mercury precesses by 5600 arc-seconds per century, which is 43 arc-seconds per century more than Newtonian physics alone would predict Albert Einstein proposed a second-order correction to Mercury's orbit, based on his general theory of relativity. Which equation had...
  35. S

    What is the Molecular Orbital Model and how does it relate to atomic orbitals?

    Could someone explain the rudimentary parts of this model? Also, I don't understand how the Electron Configurations work for this. They seem to follow a particular pattern for certain elements and another pattern for other elements. Or is it the same for all elements? Here's what I think I...
  36. I

    Orbital energy of ellipse and hyperbolic trajectory

    Please tell me how to find the orbital energy of ellipse and hyperbolic trajectory. Thank you.
  37. Y

    Orbital Concepts: Is the p-Orbital Node At the Nucleus?

    Please tell me that node of p-orbital is at nucleus or no. please give me right concept about orbital.
  38. T

    Trouble understanding orbital hybridization

    As the title suggests, i am having difficulty understanding orbital hybridization, as well as pi and sigma bonds. Can someone help me out and/or point me in the right direction? Thanks Tom
  39. R

    How Many Protons for a 5g Orbital Electron Configuration?

    Homework Statement Using a strict interpretation of the n+l rule, how many protons would an atom need to create a ground state electron configuration with one electron in a 5g orbital? Give electron configuration. Homework Equations The Attempt at a Solution g is an l value of 4...
  40. C

    Calculating Orbital Period from Semi-Major Axis Alone

    Homework Statement Is it possible to figure out the orbital period of an object with only the orbital radius given? --- It seems to be with the equations given too little information Homework Equations The Attempt at a Solution
  41. T

    What is the Period of an Earth Satellite Orbiting 400km Above the Surface?

    Homework Statement Find the speed of an Earth satellite whose orbit is 400km above the Earth's surface. What is the period of the orbit. Homework Equations The first part was pretty easy. I used v=[(Gm)/r]^(1/2) to get the answer. The Attempt at a Solution For the first part, I...
  42. C

    How Do You Calculate Orbital Speed in Different Galactic Density Models?

    Orbital Speed of a Star - Please Help! Homework Statement Calculate \Omega(r) and v(r) for the following density models: (a) all the mass M is at the center of the galaxy; (b) a constant density adding up to a mass M(R0) at the Sun’s orbit and no mass beyond. Homework Equations...
  43. C

    How Do You Calculate Orbital Speed in Different Galactic Density Models?

    Homework Statement Calculate \Omega(r) and v(r) for the following density models: (a) all the mass M is at the center of the galaxy; (b) a constant density adding up to a mass M(R0) at the Sun’s orbit and no mass beyond. Homework Equations M(r) = v(r)2r/G The Attempt at a...
  44. D

    Change in orbital magnetic dipole moment of the electron due to unifrom B field

    Homework Statement Assume that an electron of mass m and charge magnitude e moves in a circular orbit of radius r about a nucleus. A uniform magnetic field B is then established perpendicular to the plane of the orbit. Assuming also that the radius of the orbit does not change and that the...
  45. D

    Solving for Moon B's Orbital Period: A Homework Challenge

    Homework Statement Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 5r. Moon A takes 50 days to complete one orbit. How long does it take moon B to complete and orbit? Homework Equations Kepler's Third Law The...
  46. O

    Orbital Spin and External Magnetic Fields

    Homework Statement A Hydrogen atom is subjected to a magnetic field strong enough to overwhelm the spin-orbit coupling. Into how many levels would the 2p level split? What would the spacing be in the terms of Bext, e, me, and \hbar Homework Equations I know that I have to use the gLande...
  47. T

    Calculation of orbital speed for given eccentricity

    Hi, I am trying to work out, for a given eccentricity,a known planet mass and a known value for the semi major axis is there a formula to work out the orbital speed of a planet around a central star? I have looked around online with not much success and was wondering if anyone could point me...
  48. R

    Why only opposite spin electrons in an orbital ?

    Why only electrons having opposite spin should be in a orbital ? What character does spin quantum number give to electron and some more interesting things on Spin quantum number please ..
  49. C

    Help with Orbital Mechanics: First Post

    First post here, I'm a student in a BS in Space Studies program and I'm having a little trouble. I have R vectors = rI rJ rK V vectors= vI vJ vK ( I'm not putting in numbers to avoid someone doing my homework for me) I am having a hard time wraping my brain around getting...
  50. S

    Chemistry Molecular Orbital Theory: Why is There Mixing?

    Hi guys i came across molecular orbital theory and i don't understand why sometimes there is orbital mixing. For example B,C,N have no orbital mixing while O,F have orbital mixing. May i know how to know when there is orbital mixing?
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