Circular orbits, Mechanical Engineering

Assignment Help:

The Circular Orbits

The bounded motion of a particle in a central force is in general an ellipse given by


2360_download.png 

where eccentricity e is related to semi-major and minor axes as,

b2 = a2 (1 - e)2

Hence, if e = 0b = a, and the ellipse degenerates into a circular orbit. The radius of the circular orbit is,

1835_download (1).png 

If the particle m is moving in a gravitational force of a fixed mass MC = GmM, and we get

58_download (2).png 

That is, the radial gravitational force is equal to necessary centripetal force required for the particle in the circular orbit.

The planetary data shows that eccentricity e for most of the planets, including earth, is nearly equal to zero. Hence, their orbits are really indistinguishable from circles. However, these circular looking orbits are not concentric with Sun at the center; this is because, these are in fact ellipses, with Sun at the focus.


Related Discussions:- Circular orbits

Determine sliding velocity, a) A pair of 20 degree full depth involute spur...

a) A pair of 20 degree full depth involute spur gears having 30 and 50 teeth respectively of module 4mm are in mesh. The smaller gear rotates at 1000 rpm. Determine- 1) Contact

Describe the break-even-analysis, What is Time-Study ? How the standard tim...

What is Time-Study ? How the standard time is determined in Time-Study ? What are the Merit-Rating ? Illustrate various methods of Merit-Rating. Describe the Break-Even-Analy

System of loads - beam, System of loads -  Beam: Build the SFD & BMD ...

System of loads -  Beam: Build the SFD & BMD for 10 m span simply supported beam subjected to a system of loads as illustrated in Figure . Figure Taking moment a

Foundry shiz, is there any assignment answers

is there any assignment answers

Find out the axial moment of inertia, Find out the axial moment of inertia:...

Find out the axial moment of inertia: Find out the axial moment of inertia of a rectangular area of base b and height d around centroidal axis GX and the base B 1 B 2 . So

Explain how chips are formed, Explain how chips are prepared in cutting and...

Explain how chips are prepared in cutting and how are they classified with sketches. What are the factors responsible for creation of different forms of chips?

Stresses., temparature stresses in composite bars

temparature stresses in composite bars

Thermodynamics, why constant volume line has more slop tha constant pressur...

why constant volume line has more slop tha constant pressure line in T-S diagram

SFD AND BMD, what is SFD and BMD? EXPLAIN

what is SFD and BMD? EXPLAIN

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd