46.237.218.145: /* Approximating the sketch */

2013-12-13T11:52:09Z

Approximating the sketch

← Older revision		Revision as of 13:52, 13 December 2013
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	~~Friends contact her Felicidad~~ and ~~her spouse doesn't like it at all~~. ~~One~~ of ~~my preferred hobbies~~ is ~~camping and now I~~'m ~~trying to make money with it~~. ~~Interviewing~~ is ~~what she does but quickly she~~'~~ll be~~ on ~~her own~~. ~~Some time ago he selected~~ to ~~reside in Idaho~~.<br><br>~~Have a look at my web site:~~ [~~http:~~//~~Kd10111~~.~~Monkay~~.de/~~index~~.~~php?mod~~=~~users&action~~=~~view&id~~=~~7650 Kd10111~~.~~Monkay~~.de]		{{for\|the term relating to black holes\|sphere of influence (astronomy)}}

			A '''sphere of influence''' ('''SOI''') in [[astrodynamics]] and [[astronomy]] is the [[oblate spheroid\|oblate-spheroid]]-shaped region around a [[celestial body]] where the primary [[gravity\|gravitational]] influence on an [[orbit]]ing object is that body. This is usually used to describe the areas in the [[Solar System]] where [[planets]] dominate the orbits of surrounding objects (such as [[natural satellite\|moon]]s), despite the presence of the much more massive (but distant) [[Sun]]. In a more general sense, the [[patched conic approximation]] is only valid within the SOI.

			The general equation describing the [[radius]] of the sphere <math>r_{SOI}</math> of a planet:
			: <math>r_{SOI} = a\left(\frac{m}{M}\right)^{2/5}</math>
			where
			: <math>a</math> is the [[semimajor axis]] of the smaller object's (usually a planet's) orbit around the larger body (usually the Sun).
			: <math>m</math> and <math>M</math> are the [[mass]]es of the smaller and the larger object (usually a planet and the Sun), respectively.

			In the patched conic approximation, once an object leaves the planet's SOI, the primary/only gravitational influence is the Sun (until the object enters another body's SOI). Because the definition of r<sub>SOI</sub> relies on the presence of the Sun and a planet, the term is only applicable in a [[n-body problem\|three-body]] or greater system. It requires the mass of the primary body to be much greater than the mass of the secondary body. This changes the three-body problem into a restricted two-body problem.

			==Table of planetary SOI radii==
			{\| cellpadding="2" cellspacing="0" style="margin:1px; border:1px solid black;width:220px; font-size:100%; font-family:Arial,Helvetica" align="center"
			\|colspan="1" \| Body \|\|colspan="1"\| SOI radius\|\|colspan="1"\|SOI radius
			\|-
			\|align="center" style="border-bottom:1px solid"\| - \|\|style="border-bottom:1px solid" align="center" \| ([[kilometre\|km]]) \|\|style="border-bottom:1px solid" align="center" \| (body radii)
			\|-
			\| [[Mercury (planet)\|Mercury]] \|\|align="right" \| <math>112 \times 10^3</math>\|\|align="right" \| 45
			\|-
			\| [[Venus]] \|\|align="right" \| <math>616 \times 10^3</math>\|\|align="right" \| 100
			\|-
			\| [[Earth]] \|\|align="right" \| <math>925 \times 10^3</math>\|\|align="right" \| 145
			\|-
			\| [[Moon]] \|\|align="right" \| <math>66.1 \times 10^3</math>\|\|align="right" \| 38
			\|-
			\| [[Mars]] \|\|align="right" \| <math>577 \times 10^3</math>\|\|align="right" \| 170
			\|-
			\| [[Jupiter]] \|\|align="right" \| <math>48.2 \times 10^6</math>\|\|align="right" \| 677
			\|-
			\| [[Saturn]] \|\|align="right" \| <math>54.8 \times 10^6</math>\|\|align="right" \| 901
			\|-
			\| [[Uranus]] \|\|align="right" \| <math>51.7 \times 10^6</math>\|\|align="right" \| 2025
			\|-
			\| [[Neptune]] \|\|align="right" \| <math>86.7 \times 10^6</math>\|\|align="right" \| 3866
			\|-
			\|}

			==See also==
			* [[Hill sphere]]

			==References==
			*{{cite book
			\|last=Bate
			\|first=Roger R.
			\|coauthors= Donald D. Mueller, Jerry E. White
			\|title= Fundamentals of Astrodynamics
			\|year=1971
			\|publisher=Dover Publications
			\|location=New York
			\|isbn=0-486-60061-0
			\|pages=333–334}}

			*{{cite book
			\|last=Sellers
			\|first=Jerry J.
			\|coauthors= Astore, William J., Giffen, Robert B., Larson, Wiley J.
			\|editor=Kirkpatrick, Douglas H.
			\|title= Understanding Space: An Introduction to Astronautics
			\|edition=2
			\|year=2004
			\|publisher=McGraw Hill
			\|isbn=0-07-294364-5
			\|pages= 228,738}}

			[[Category:Astrodynamics]]
			[[Category:Orbits]]

en>Nick Number: fixed section capitalization; sp original WP:TYPO

2012-06-15T16:24:08Z

fixed section capitalization; sp original WP:TYPO

New page

Friends contact her Felicidad and her spouse doesn't like it at all. One of my preferred hobbies is camping and now I'm trying to make money with it. Interviewing is what she does but quickly she'll be on her own. Some time ago he selected to reside in Idaho.<br><br>Have a look at my web site: [http://Kd10111.Monkay.de/index.php?mod=users&action=view&id=7650 Kd10111.Monkay.de]

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46.237.218.145: /* Approximating the sketch */

en>Nick Number: fixed section capitalization; sp original WP:TYPO