Celestial mechanics

Core 1 Quantitative Assignment 1 Background: When wanting to find the mass of a massive object, the following is needed, Newton’s gravitational law (F = ma = mv2/r). Newton’s gravitational law can be used to calculate the mass which is represented by (M). This can be calculated if the velocity represented by (v), at orbital radius represented by (r), is known for the equation. When these two laws are put together they create the formula M = v2 r / G what G represents is the gravitational constant (6.673 X 10 – 11 m3 Kg – 1 s – 2). For a circular orbit, the velocity (v) is determined by its circumference of (2r) this is divided by the time it takes to complete an entire orbit also referred to as a period (P), this is entirely represented by the equation, v = 2r / P. This equation can then be rewritten by replacing (v) with (M) to find the mass: M = (42r3) / (G P2) This equation is also recognized as Kepler’s Third Law. Calculations: In order to calculate the mass of “Object X” from the orbit of its moon the first step needed to be taken is to have specified units for distance (m), time (s), and mass (kg). This needs to be done because they are the units Kepler’s Third Law require in order to be able to obtain the mass of “Object X” properly. The units given in the introduction are in kilometers and days. Therefor the radius has to be converted to Kepler’s Third Law values, so from kilometers to meter and days get converted to seconds. 1. r = 57…

This paper will discuss the life of the German mathematician, astronomer, and astrologer Johannes Kepler. Who had a great impact in the 17th century scientific revolution, because of his development of the three laws of planetary motion. He is also remembered for the legacy he left that later provided one of the foundations for Isaac Newton's theory of universal gravitation. “Johannes Kepler was born on December 27, 1571 poor and sickly in what is now Germany. His father left home when Johannes…

Fig. 11: Residuals in the osculating orbital elements of Nereid for long time interval. The semi-major axis is given in km, eccentricity in radians and the rest of elements are in degree (Saad & Kinoshita 2001). Vashkov’yak and Teslenko (2010) in addition to the effects of the mother planet Neptune, they considered the influence of the attraction of the internal satellite Triton on the evolution of the orbit of the external satellite Nereid. The disturbing function of Triton is…

the shadow of the Earth blocking sunlight which illuminates the moon. Angular Diameters is a measurement describing how large a circle appears from a certain point of view. An Annular solar eclipse occurs when the moon moves to cover the sun, but does not cover it fully. Creating a ring of fire effect! -End that part- Refreshing quote! “If you don’t get an A on the final with all this shit, you’re a dumbass!” `end quote. Random Sky shit: An astronomical unit is around 149,597,871 kilometers.…

The topic of mechanic work is so engaging to me that I lose track of time. Just being under the car or truck and looking at the engine. Just being around cars and learning about how they work has made me lose track of time. I love it. Just being able to hear the engine turn over after me and my dad worked on the car, it amazing. I love the feeling. My Dad, my Grandfather, and I worked on my Step-mom's car because it wouldn’t start. It would start with jump starting it. We had to change the…

I have chosen to research into Farm Equipment Mechanics. I have chosen this because I want my career to be Agriculture related. I do not know yet what I want to pursue as a career. I think that I am capable of having a more efficient career. I would like to pursue a more well paid job than what I am researching about. Even, after researching the career of a Farm Equipment Mechanic, i have not decided whether or not I want to pursue this career. Concerning daily tasks, farm equipment mechanics…

Automotive service technicians and mechanics might work at gasoline stations or at automotive parts, accessories and tire stores. But an overwhelming majority of them work for automobile dealers or in the automotive repair and maintenance industry. These technicians are especially important in our car-driven society. That's why people place so much importance on finding a high-quality mechanic. From fairly routine tasks such as changing a car's oil or swapping out its air filter to more complex…

A I.T mechanic is a basic component of every office workforce. He/she fixes computers or gets them running. They don’t just do only that. They create systems for the business such as email accounts or a server farm. I.T mechanics aren’t highly appreciated for what they do. But I assure you without a I.T mechanic any business could fall due to something small. Such as a bug or virus that could cause serious trouble. Any I.T mechanic with the correct training could fix any technology related…

Diesel Mechanics Do you have a job career that you enjoy doing? Well I enjoy Diesel Mechanics so I’m going to tell you all about it, what I know, and what I have learned. Diesel mechanics can be a hard and a rewarding job. Diesel mechanics have a large effect on most everything that people do. Diesel technology is very similar to gasoline engine systems, yet diesel is not as popular. Diesel mechanics repair engine in many vehicles and machines that help keep people's lives comfortable. Most…

Stress is a very complex topic. To my understanding it is an emotion felt not only mentally but physically as well. A large straining that you endure from being under immense pressure, at times you feel there is no way out. It can come from the negativity of your peers, and almost always from your very own self-doubt. Stress to me as a student and as a worker are very separate functions. From my student side I worry about not doing well on not only one but a series of demanding tasks from all of…