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en>Andrea.maffei.pisa: /* Statement */

2014-08-08T18:08:26Z

Statement

← Older revision		Revision as of 20:08, 8 August 2014
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	~~My name~~ is ~~Louisa~~ (~~27 years old~~) and ~~my hobbies~~ are ~~Inline Skating~~ and ~~Bonsai~~.<br><br>~~Feel free to surf to my site~~ [http://tinyurl.com/pkup9lo http://tinyurl.com/pkup9lo]		UGG Australia has just announced its new line of boots for the tumble. These boots are all set to guard your toes from the period wet and chilly weather. Why wait until finally winter to wear UGG boots when you can start out wearing them in the drop? This yr new arrivals provide the exact top quality and ease and comfort that the UGG manufacturer has normally been regarded to have. Slide boot styles often go well with the varied preferences of ladies, males, and young children.

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145.18.166.242: Typo fix

2014-03-03T15:49:40Z

Typo fix

← Older revision		Revision as of 17:49, 3 March 2014
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	The '''tug of war''' in astronomy is the ratio of planetary and solar attractions on a [[natural satellite]]. The term was coined by [[Isaac Asimov]] in ''The Magazine of Fantasy and Science Fiction'' in 1963. <ref name~~="Asimov"> Isaac Asimov: ''Asimov on Astronomy'' Coronet Books,1976, ISBN 0-340-20015-4 pp125-139</ref>~~		My name is Louisa (27 years old) and my hobbies are Inline Skating and Bonsai.<br><br>Feel free to surf to my site [http://tinyurl.com/pkup9lo http://tinyurl.com/pkup9lo]

	~~== Law of universal gravitation ==~~

	~~According to [[Isaac Newton]]'s [[law of universal gravitation]]~~
	~~:<math> F= G\cdot \frac{m_1 \cdot m_2} {d^2}</math>~~

	~~In this equation~~
	~~:'''F''' is the force of attraction~~
	~~:'''G'''~~ is ~~the [[gravitational constant]]~~
	~~:'''m<sub>1</sub>''' and '''m<sub>2</sub>''' are the masses of two bodies~~
	~~:'''d''' is the distance of separation between the two bodies~~

	~~The two main attraction forces on a satellite are the attraction of the [[sun]] and the [[primary~~ (~~astronomy~~)~~\|primary]] (the planet around which the satellite revolves) Thus the two forces~~ are
	~~:<math> F_p= \frac{G \cdot m \cdot M_p} {d_p^2}</math>~~
	~~:<math> F_s= \frac{G \cdot m \cdot M_s} {d_s^2}</math>~~
	~~where the subscripts p~~ and ~~s represent the primary and the sun respectively~~.

	~~The ratio of the two is~~

	:<~~math~~> ~~\frac{F_p}{F_s} = \frac{M_p \cdot d_s^2}{M_s \cdot d_p^2}~~ <~~/math~~>

	~~== Example ==~~
	[~~[Callisto (moon)\|Callisto]] is a satellite of Jupiter. The parameters in the equation are <ref>Thomas Arny~~: ~~''Explorations'', Mc Graw Hill, ISBN 0-07-561112-0 pp.543-545 <~~/~~ref>~~

	*Callisto-Jupiter distance (d<sub>p</~~sub>) is 1~~.~~883 · 10<sup>6<~~/~~sup> km.~~
	*Mass of Jupiter (M<sub>p</~~sub>) is 1.9 · 10<sup>27</sup> kg~~
	*Jupiter-Sun distance (ie, mean distance of Callisto from the Sun, m<sub>s</~~sub>) is 778.3 · 10<sup>6</sup> km.~~
	*The solar mass (M<sub>s</sub>) is 1.989 · 10<sup>30</sup> kg
	~~:<math> \frac{F_p}{F_s} = \frac{1.9 \cdot 10^{27} \cdot (778.3)^2}{1.989 \cdot 10^{30} \cdot(1.883)^2} \approx 163 </math>~~

	~~== The table of planets ==~~

	~~Asimov lists tug of war ratio for 32 satellites (then known in 1963) of Solar system. The list below shows one example from each planet.~~
	~~{\| class="sortable wikitable"~~
	~~!Primary~~
	~~!Satellite~~
	~~!Tug of War ratio~~
	\|-
	~~\|[[Neptune]]\|\|[[Triton (moon)\|Triton]]\|\|8400~~
	\|-
	~~\|[[Uranus]]\|\|[[Titania (moon)\|Titania]]\|\|1750~~
	\|-
	~~\|[[Saturn]]\|\|[[Titan (moon)\|Titan]]\|\|380~~
	\|-
	~~\|[[Jupiter]]\|\|[[Ganymede (moon)\|Ganymede]]\|\|490~~
	\|-
	~~\|[[Mars]]\|\|[[Phobos (moon)\|Phobos]]\|\|195~~
	\|-
	~~\|[[Earth]]\|\|[[Moon]]\|\|0~~.46
	\|}

	~~== The special case of the Moon ==~~
	Unlike other satellites of the solar system solar attraction on the Moon is more than that of its primary. According to Asimov, the Moon is a planet moving around the Sun in careful step with the Earth.<ref name="Asimov"/>

	~~== References ==~~
	~~<references~~/>
	~~[[Category:Moons]]~~
	~~[[Category:Gravitation]]~~
	~~[[Category:Astronomical dynamical systems]~~]

en>Headbomb: Various citation cleanup, replaced: | url=http://dx.doi.org/ → | doi= (5), | id={{MR|782239}} → | mr=782239 (8) using AWB

2011-08-21T19:32:54Z

Various citation cleanup, replaced: | url=http://dx.doi.org/ → | doi= (5), | id={{MR|782239}} → | mr=782239 (8) using AWB

New page

The '''tug of war''' in astronomy is the ratio of planetary and solar attractions on a [[natural satellite]]. The term was coined by [[Isaac Asimov]] in ''The Magazine of Fantasy and Science Fiction'' in 1963. <ref name="Asimov"> Isaac Asimov: ''Asimov on Astronomy'' Coronet Books,1976, ISBN 0-340-20015-4 pp125-139</ref>

== Law of universal gravitation ==

According to [[Isaac Newton]]'s [[law of universal gravitation]]
:<math> F= G\cdot \frac{m_1 \cdot m_2} {d^2}</math>

In this equation
:'''F''' is the force of attraction
:'''G''' is the [[gravitational constant]]
:'''m1''' and '''m2''' are the masses of two bodies
:'''d''' is the distance of separation between the two bodies

The two main attraction forces on a satellite are the attraction of the [[sun]] and the [[primary (astronomy)|primary]] (the planet around which the satellite revolves) Thus the two forces are
:<math> F_p= \frac{G \cdot m \cdot M_p} {d_p^2}</math>
:<math> F_s= \frac{G \cdot m \cdot M_s} {d_s^2}</math>
where the subscripts p and s represent the primary and the sun respectively.

The ratio of the two is

:<math> \frac{F_p}{F_s} = \frac{M_p \cdot d_s^2}{M_s \cdot d_p^2} </math>

== Example ==
[[Callisto (moon)|Callisto]] is a satellite of Jupiter. The parameters in the equation are <ref>Thomas Arny: ''Explorations'', Mc Graw Hill, ISBN 0-07-561112-0 pp.543-545 </ref>

*Callisto-Jupiter distance (dp) is 1.883 · 106 km.
*Mass of Jupiter (Mp) is 1.9 · 1027 kg
*Jupiter-Sun distance (ie, mean distance of Callisto from the Sun, ms) is 778.3 · 106 km.
*The solar mass (Ms) is 1.989 · 1030 kg
:<math> \frac{F_p}{F_s} = \frac{1.9 \cdot 10^{27} \cdot (778.3)^2}{1.989 \cdot 10^{30} \cdot(1.883)^2} \approx 163 </math>

== The table of planets ==

Asimov lists tug of war ratio for 32 satellites (then known in 1963) of Solar system. The list below shows one example from each planet.
{| class="sortable wikitable"
!Primary
!Satellite
!Tug of War ratio
|-
|[[Neptune]]||[[Triton (moon)|Triton]]||8400
|-
|[[Uranus]]||[[Titania (moon)|Titania]]||1750
|-
|[[Saturn]]||[[Titan (moon)|Titan]]||380
|-
|[[Jupiter]]||[[Ganymede (moon)|Ganymede]]||490
|-
|[[Mars]]||[[Phobos (moon)|Phobos]]||195
|-
|[[Earth]]||[[Moon]]||0.46
|}

== The special case of the Moon ==
Unlike other satellites of the solar system solar attraction on the Moon is more than that of its primary. According to Asimov, the Moon is a planet moving around the Sun in careful step with the Earth.<ref name="Asimov"/>

== References ==
<references/>
[[Category:Moons]]
[[Category:Gravitation]]
[[Category:Astronomical dynamical systems]]