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


In this equation
Despite the tall and slouchy overall look, carrying the Highkoo does not rob you of elegance and femininity. The Highkoo will come with a deco strap, entire with the UGG symbol embossed. It is the suitable footwear for the autumn, many thanks to its sheepskin sock liner that absorbs humidity, maintaining your feet dry. Women's Bailey Button This pair will come up to your calf, and is designed of what UGG calls "twin-deal with sheepskin".
:'''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  
The corporation took this model a person notch better by introducing a picket emblem button and a adaptable band. You can have on it stretched upwards or folded (cuffed down), relying on your costume or pant duration, or your mood. The Bailey Button is built with comfy insoles that make going for walks in them a breeze. The heels are protected with guards and the EVA outsole is light-weight and flexible. When purchasing this model, UGG recommends ordering a dimensions more compact than your ordinary shoe sizing.
:<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
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:<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]]

Latest revision as of 20:08, 8 August 2014

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. 

The adhering to are a handful of terrific choices of UGG boots for girls. Traditional Tall Stripe Cable Knit If you would like boots built of merino wool to match your most effective sweater, this is the fantastic fashion for you. If you take a look at these boots, you must see well known and quite vibrant stripes that say "in trend." Like most of the pairs in UGG basic assortment, this pair has insoles built with foam surrounded by accurate sheepskin.

The outsole has a molded EVA mild and gives ease and comfort each stage of the way. The merino strips are a combination of wool and polyester nylon binds these supplies jointly. Females Highkoo If you want the slouchy look, you should really like the Highkoo. It is tall, comfortable, and hot. UGG Australia calls it the boot with a "ballet silhouette". The insole is built of authentic leather-based and the heels are built of molded rubber, an indispensable component for comfort and ease.

Despite the tall and slouchy overall look, carrying the Highkoo does not rob you of elegance and femininity. The Highkoo will come with a deco strap, entire with the UGG symbol embossed. It is the suitable footwear for the autumn, many thanks to its sheepskin sock liner that absorbs humidity, maintaining your feet dry. Women's Bailey Button This pair will come up to your calf, and is designed of what UGG calls "twin-deal with sheepskin".

The corporation took this model a person notch better by introducing a picket emblem button and a adaptable band. You can have on it stretched upwards or folded (cuffed down), relying on your costume or pant duration, or your mood. The Bailey Button is built with comfy insoles that make going for walks in them a breeze. The heels are protected with guards and the EVA outsole is light-weight and flexible. When purchasing this model, UGG recommends ordering a dimensions more compact than your ordinary shoe sizing.

UGG Australia Women's Typical Mini - Sand Sheepskin This type satisfies the need for greatest convenience, without having sacrificing model. The heel is strengthened and the seams are purely natural. This is UGG Australia respond to to luxury. The heels are only an inch superior and appear with heel guards. Regretably, only total measurements are out there. The ladies classic mini can simply take up humidity since it is manufactured with serious sheepskin.

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