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

Steels-plain carbon & c-alloy steels-titanium & its alloys, Steels ...

Steels Plain carbon & C - Mn steels : Because of low heat input, in as welded condition, the micro structures of the autogenous process welds predominantly show marten

Design of a bicycle frame, Design of a Bicycle Frame : Figure  depicts a si...

Design of a Bicycle Frame : Figure  depicts a simple bicycle frame, which is to be built of hollow aluminium tubing with outside diameter of 20 mm and wall thickness of 2 mm. The f

Injection molding, what are the finishing operation of telephone outer body...

what are the finishing operation of telephone outer body after injection molding

Sand blasting handling method, Sand blasting handling method:        ...

Sand blasting handling method:             On last experiment we had decided to use 3.0 bars as it shown better result. Now we had to investigate the sand blasting handling

Opportunity cost, whats the example of opportunity cost?

whats the example of opportunity cost?

Heat treatment of tool steels, Heat Treatment of Tool Steels This trea...

Heat Treatment of Tool Steels This treatment in case of tool steels in a significant step before actually employing the tool. Most properties are attained after heat treatment

General phase of value engineering, General Phase of Value Engineering: ...

General Phase of Value Engineering: Steps- 1. Prepare a strong foundation for the value study. Extension of auger in screw conveyer in hydraulic paver machine is to be do

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