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# Orbits

An orbit is the gravitationally curved path of an object around a point in space. The current understanding of orbital motion is from Albert Einstein’s general theory of relativity. This accounts for gravity due to curvature of space-time which orbits following geodesics.

There are some common ways to understand orbits:

- As objects move sideways, it falls toward the central body. However, it moves so quickly that the central body will curve away beneath it.
- A force, like gravity, pulls the object into a curved path as it attempts to fly off in a straight line.
- As the object moves tangentially, it falls toward the central body. However, it has enough tangential velocity to miss the orbited object and will continue falling indefinitely.

Our solar system there is many things which orbit the Sun, planets, dwarf planets, asteroids, comets and space debris. The Sun is called the barycenter in elliptical orbits. Some bodies, such as comets, are not gravitationally bound to the star and therefore are not considered part of the star’s planetary system.

### Bohr Atom Relativity

The Bohr atom derived from de Broglie'.r relation. Here is another development of Bohr's results for hydrogen. based directly onthe de Broglie relation. If a de Broglie wavelength can be associated with an electron in orbit. then it seems reasonable to suppose that the circumference of an orbit be equal to an integral number of

### Quantum Numbers & Electron Configurations

Would highly appreciate detailed work shown/ explanation on how you got your answer. This entire chapter makes little sense to me. (P.S. If answers are hand written, please do not write in cursive for I have a difficult time reading it) 1. What is the maximum number of electrons that can occupy each of the following subshells

### Charged Particle in Magnetic Field. House Wiring.

1. A magnetic field can change the direction of motion of a charged particle yet in doing so it has done no work on the particle. Why? Give another example of a force causing an object to change direction without doing any work on it. 2. Explain why it takes more fuel for a spacecraft to travel to the Moon from Earth than it ta

### Relative Initial Speed Calculated

Vanguard 1, launched in 1958, is the oldest human artefact/satellite in orbit. It weighs 1.47 kg and orbits the Earth every 134.2 minutes. At its closest distance it is 654 km from the surface of the Earth. Assume that it is in a circular orbit and due to a collision with some space junk it loses 20% of its velocity. a) Calc

### Burnside Counting, Isometry

1) Let E1, E2, E3, and E4 denote, respectively, the edges ab, bc, cd, and da of the square in the figure below. Write the permutation induced on {E1, E2, E3, E4} by each isometry (symmetry) of the square. [Example: ρH ↦ (E1E3).] Does the symmetry group of the square act faithfully on {E1, E2, E3, E4} 2) The group G = 〈(

### Group Operations

The symmetric group Sâ?? operates on two sets U and V of order 3. Decompose the product set UÃ?V into orbits for the diagonal action g(u,v)=(gu,gv), when a) the operations on U and V are transitive, b) the operation on U is transitive, the orbits for the operation on V are {vâ?} and {vâ??,vâ??}.

### Comet Hyakutake: Semi-major axis; compare to distance to Pluto, Alpha Centauri

One of the brightest comets of the 20th century was Comet Hyakutake, which passed close to the sun in early 1996. The orbital period of this comet is estimated to be about 30,000 years. a) Find the semi-major axis of this comet's orbit. r= ? m b) Compare it to the average sun-Pluto distance. (r / r_pluto) = ? Expres

### Hohmann transfer of satellite from one orbit to a higher orbit

For a circular orbit around a massive gravitating body, the speed depends on the radius according to Equation 8.3; for elliptical orbits, the speed varies according to the equation V squared=2GM{(1/r)-(1/2a)}, where r is the distance from the massive body and a is the semi major axis of the ellipse(i.e., half the sum of the clos

### Displacement and Equations of Kinematics in Two Dimensions

The following problems and conceptual questions are from chapter 3 of "Physics, 7th edition by Cutnell and Johnson". It pertains to displacement, velocity, and acceleration; equations of kinematics in two dimensions; and projectile velocity. Please consider significant figures and if possible, draw visual graphics. Concept

### Combination of four quantum numbers

Please see the attached file for full problem details. 6. What does the combination of four quantum numbers (QN) specify? What does the combination of two quantum numbers specify? List the possible values of l if n = 3 List the possible values of ml if l = 3 Which of the following combination of quantum n

### (see attached file for calculations)

1. (a) 35800 km and 22240 mi. (b) 3070 m/s and 10090 ft/s. 2. (a) 6.67 m/s. (b) 0.0755. I have the answers to the questions. I need help with understanding the steps it takes to get to the solution. 1. Communication satellites are placed in a geosynchronous orbit, i. e., in a circular orbit such that they complete one f

### Primitive Cubic, Body Centered Cubic and Face Centered Cubic

1. Describe the primitive cubic, body centered cubic and face centered cubic unit cells. 2. Compare quantum mechanical and bohr model of atom. 3. Draw molecular orbital energy diagrams for Li2 and Be2. What is the bond order in each of these species? 4. When calcium hydride (CaH2) reacts with water, hydrogen gas is evo

### Masses in Equilateral Triangle and Net Forces Exerted

Problem 12.16 Part A What is the acceleration due to Earth's gravity at a distance from the center of the Earth equal to the orbital radius of the Moon? ANSWER: = Answer not displayed Problem 12.12 Suppose that three astronomical objects (1, 2, and 3) are observed to lie on a line, and that t

### Newton's form of Kepler's third law

The orbital period of the binary system containing A0620-00 is 0.32 day, and Doppler shift measurements reveal that the radial velocity of the X-ray source peaks at 457 km/s (about 1 million miles per hour). a) Assuming that the orbit of the X-ray source is a circle, find the radius of its orbit in kilometers. (This is act

### Angular speed of race car, tangential speed, loop-the-loop

1. A race car makes two and a half laps around a circular track in 3 mins. What is the car's average angular speed? Answer: - 0.087 rad/s 2. A wheel of radius 1.5m rotates at a uniform speed. If a point on a rim of the wheel has a centripetal acceleration of 1.2m/s^2, what is the point's tangential speed? Answer: - 1.3m/s

### Saturn, Titan and Jovian Planets

1. What did the Voyager mission discover about the main rings of Saturn? a. There are several moons inside the inner-most ring. b. The ring system is much thicker than originally believed. c. They were less dense than the rings of Jupiter. d. They are composed of tens of thousands of narrow ringlets. e. There are hund

### Formulas

See attached Section 9.1, Page 550 108) Comparing wind chills. Through experimentation in Antarctica, Paul Siple developed the formula to calculate the wind chill temperature W (in degrees Fahrenheit) from the wind velocity v (in miles per hour, mph) and the air temperature t (in degrees Fahrenheit). Use this formula to

### Force on a Satellite Due to Drag

See the attached files. Calculate the force on a satellite due to drag and the mass of propellant needed to overcome the drag force. Sun synchronous orbit alt = 700 km Mass of satellite = 800 kg Assume Cd = 2 Thruster Isp = 80 s Propellant = N2 (Molecular Weight = 28, etc) Propellant temperature = 280 K Length of sate

### Contractual theory, social responsibility of corporations, charges against multinationals

A) What are the objections to the Contractual Theory. B) What are the cultural differences raised for multinationals in regards to bribery and double standards. c) To whom do corporations have responsibilities? Discuss, with examples, how these responsibilities inevitably lead to ethical disagreement? D)Trust is a pillar of

### Algebra - Kepler's Harmonic Law

Problem: A result of Kepler's harmonic law is that the mass of a planet (M) with a satellite is directly proportional to the cube of the mean distance (d) from the satellite to the planet and inversely proportional to the square of the period of revolution )p). Early astronomers estimated the mass of the earth to be 5.976 x 1024

### 7 Multiple choice questions on various phenomenon of physics

Please assist with the attached problems that I am having problems solving. Any help is appreciated. Thank you. 1. The x and y components of a displacement vector are -3.00 m and +4.00 m, respectively. What angle does this vector make with the positive x axis? a. 233 degrees b. 127 degrees c. -53.0 degrees d. 53.0 degre

### Conics, Sequences, and Series - (1) A satellite has an elliptical orbit around the earth with one focus at the earth's center, E. The earth's radius is 4,000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit. Please submit your answer with work shown in an equation editor (or best way possible) ...and 11 other questions.

(1) A satellite has an elliptical orbit around the earth with one focus at the earth's center, E. The earth's radius is 4,000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit. Please submit your answer with work

### Magnetic Field Effects of Current

Question 1: An infinitesimal current element Idl is located at the point x = 0.05m, y =0, z = 0 in a cartesian coordinate system. The current element points in the direction of the positive z-axis and has magnitude 2x10^-6 A m. Calculate the magnitude and direction of the magnetic field due to this current element at the point

### Magnitude of Two Charged Particles

Please see the attached file. Please solve with explanations included. Two charged particles are traveling in circular orbits with the same speed in a region of uniform magnetic field that is directed into the page, as shown. The magnitude of the charge on each particle is identical, but the signs of the charges are unequal.

### The Mid Atlantic Ridge is found

1) The Mid Atlantic Ridge is found : a) near the middle of a continental plate. b) where two tectonic plates collide c) along divergent plate boundaries d) at a subduction zone e) associated with a hot spot. 2) The magnetic stripes from seafloor data recorded off the coast of Vancouver and Washington State: a) were cr

### Dimensional analysis in quantum mechanics

(a) Find the only way to construct a length from the parameters in the Schrodinger equation for the harmonic oscillator. Compare the result with the classical amplitude of oscillation when the energy is hw/2. where h=h-bar (b) Find the only way to construct a length from the parameters in the Schrodinger equation for the h

### Distance between the television viewer and the celebrity

1. A celebrity holds a press conference, which is televised live. A television viewer hears the sound picked up by a microphone directly in front of the celebrity. This viewer is seated 2.6 m from the television set. A reporter at the press conference is located 3.7 m from the microphone and hears the words directly at the very

### Identifying the Hypothesis Statement

Science in space In the decades following the first Sputnik and Explorer satellites, the ability to put their instruments into outer space gave scientists the opportunity to acquire new information about the natural universe, information that in many cases would have been unobtainable any other way. Space science added a new d

### Eccentricity of Elliptical Orbit of a Satellite

A satellite has an elliptical orbit around the earth with one focus at the earth's center, E. The earth's radius is 4000 miles, the highest point that the satellite is from the surface of the earth is 800 miles, and the lowest is 200 miles. Find the eccentricity of the satellite's orbit.

### Bohr radii and energy levels.

An electron of mass m is in a circular orbit in the potential U=0.5 k r^2. Using Bohr's quantization rule, find the allowed orbital radii and energy levels of this electron.