Lagrangian point - Revision history

Jburk at 22:41, 17 December 2018

2018-12-17T22:41:37Z

← Older revision		Revision as of 23:41, 17 December 2018
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	<references/>		<references/>

	[[~~category~~:~~orbital Mechanics]]~~		[[Category:Orbit]]
	~~[[category:physics~~]]

Spriditis: Undo revision 6036 by 128.97.141.109 (Talk) vandalism

2011-11-03T15:38:20Z

Undo revision 6036 by 128.97.141.109 (Talk) vandalism

← Older revision		Revision as of 16:38, 3 November 2011
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	Asteroids in the <math>L_4</math> and <math>L_5</math> Mars-Sun Lagrangian points are often called ''Mars Trojan [[asteroids]]''. A handful of asteroids are in stable solar orbits, leading (<math>L_4</math>) and following (<math>L_5</math>) the path of Mars including an asteroid named "[[1999 UJ7]]" (at <math>L_4</math>) and "[[5261 Eureka]]" (at <math>L_5</math>).		Asteroids in the <math>L_4</math> and <math>L_5</math> Mars-Sun Lagrangian points are often called ''Mars Trojan [[asteroids]]''. A handful of asteroids are in stable solar orbits, leading (<math>L_4</math>) and following (<math>L_5</math>) the path of Mars including an asteroid named "[[1999 UJ7]]" (at <math>L_4</math>) and "[[5261 Eureka]]" (at <math>L_5</math>).

	~~I have been so bweildeerd~~ in the ~~past but now it all makes sense!~~		==Uses of the Mars <math>L_1</math> and <math>L_2</math> points==
			* [[early warning system (solar radiation)\|An "early warning system" to notify settlers about the onset of solar storms]].
			* Communications satellites inserted in stable orbits around the Lagrangian points - long-term nodes of communication between Earth and Mars. Could be extended to include the <math>L_4</math> and <math>L_5</math> points to allow communication even when Mars is in [[conjunction]].
			* A manned space station acting as a "staging post" for missions to [[asteroids]] or refuge before making the final plunge into Mars' gravitational well.

	==See also==		==See also==

128.97.141.109: /* Uses of the Mars L_1 and L_2 points */

2011-11-03T06:19:05Z

Uses of the Mars L_1 and L_2 points

← Older revision		Revision as of 07:19, 3 November 2011
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	Asteroids in the <math>L_4</math> and <math>L_5</math> Mars-Sun Lagrangian points are often called ''Mars Trojan [[asteroids]]''. A handful of asteroids are in stable solar orbits, leading (<math>L_4</math>) and following (<math>L_5</math>) the path of Mars including an asteroid named "[[1999 UJ7]]" (at <math>L_4</math>) and "[[5261 Eureka]]" (at <math>L_5</math>).		Asteroids in the <math>L_4</math> and <math>L_5</math> Mars-Sun Lagrangian points are often called ''Mars Trojan [[asteroids]]''. A handful of asteroids are in stable solar orbits, leading (<math>L_4</math>) and following (<math>L_5</math>) the path of Mars including an asteroid named "[[1999 UJ7]]" (at <math>L_4</math>) and "[[5261 Eureka]]" (at <math>L_5</math>).

	~~==Uses of the Mars <math>L_1</math> and <math>L_2</math> points==~~		I have been so bweildeerd in the past but now it all makes sense!
	* [[early warning system (solar radiation)\|An "early warning system" to notify settlers about the onset of solar storms]].
	* Communications satellites inserted in stable orbits around the Lagrangian points - long-term nodes of communication between Earth and Mars. Could be extended to include the <math>L_4</math> and <math>L_5</math> points to allow communication even when Mars is in ~~[[conjunction]].~~
	* A manned space station acting as a "staging post" for missions to [[asteroids]] or refuge before making the ~~final plunge into Mars' gravitational well.~~

	==See also==		==See also==

Spriditis: multiple vandalisms

2011-09-29T11:02:48Z

multiple vandalisms

← Older revision		Revision as of 12:02, 29 September 2011
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	'''<math>L_{4}</math>''' and '''<math>L_{5}</math>''' are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line. These points are also known as "Trojan points" where [[asteroids]] (known as ''Trojan asteroids'') become captured by the relative gravitational stability and orbit with the orbital body.		'''<math>L_{4}</math>''' and '''<math>L_{5}</math>''' are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line. These points are also known as "Trojan points" where [[asteroids]] (known as ''Trojan asteroids'') become captured by the relative gravitational stability and orbit with the orbital body.

	~~Not bad at all fellas~~ and ~~glalas~~. ~~Thanks~~.		===Calculating the position of <math>L_1</math> and <math>L_2</math>===
			If the mass of the larger body is massively greater than that of the orbiting body (as is the case in the Earth, or Mars, around the larger Sun), the following equation<ref>[http://en.wikipedia.org/w/index.php?title=Lagrangian_point Lagrangian Point on Wikipedia]</ref> can be applied:

			:<math>r \approx R \sqrt[3]{\frac{M_2}{3 M_1}}</math>

			where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.

	==Current missions using the Lagrangian points of the Earth-Sun system==		==Current missions using the Lagrangian points of the Earth-Sun system==
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	~~I am froever indebted to you for this information~~.		==Objects observed in the Mars-Sun <math>L_4</math> and <math>L_5</math> points==

			Asteroids in the <math>L_4</math> and <math>L_5</math> Mars-Sun Lagrangian points are often called ''Mars Trojan [[asteroids]]''. A handful of asteroids are in stable solar orbits, leading (<math>L_4</math>) and following (<math>L_5</math>) the path of Mars including an asteroid named "[[1999 UJ7]]" (at <math>L_4</math>) and "[[5261 Eureka]]" (at <math>L_5</math>).

	==Uses of the Mars <math>L_1</math> and <math>L_2</math> points==		==Uses of the Mars <math>L_1</math> and <math>L_2</math> points==

119.46.111.12: /* Objects observed in the Mars-Sun L_4 and L_5 points */

2011-09-29T02:26:16Z

Objects observed in the Mars-Sun L_4 and L_5 points

← Older revision		Revision as of 03:26, 29 September 2011
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	~~==Objects observed in the Mars-Sun <math>L_4</math> and <math>L_5</math> points==~~		I am froever indebted to you for this information.

	Asteroids in the <math>L_4</math> and <math>L_5</math> Mars-Sun Lagrangian points are often called ''Mars Trojan [[asteroids]]''. A handful of asteroids are in stable solar orbits, leading (<math>L_4</math>) and following (<math>L_5</math>) the path of Mars including an asteroid named "[[1999 UJ7]]" (at <math>L_4</math>) and "[[5261 Eureka]]" (at <math>L_5</math>).

	==Uses of the Mars <math>L_1</math> and <math>L_2</math> points==		==Uses of the Mars <math>L_1</math> and <math>L_2</math> points==

82.99.16.78: /* Calculating the position of L_1 and L_2 */

2011-09-28T23:54:55Z

Calculating the position of L_1 and L_2

← Older revision		Revision as of 00:54, 29 September 2011
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	'''<math>L_{4}</math>''' and '''<math>L_{5}</math>''' are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line. These points are also known as "Trojan points" where [[asteroids]] (known as ''Trojan asteroids'') become captured by the relative gravitational stability and orbit with the orbital body.		'''<math>L_{4}</math>''' and '''<math>L_{5}</math>''' are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line. These points are also known as "Trojan points" where [[asteroids]] (known as ''Trojan asteroids'') become captured by the relative gravitational stability and orbit with the orbital body.

	~~===Calculating the position of <math>L_1</math>~~ and ~~<math>L_2</math>===~~		Not bad at all fellas and glalas. Thanks.
	~~If the mass of the larger body is massively greater than that of the orbiting body (as is the case in the Earth, or Mars, around the larger Sun), the following equation<ref>[http://en~~.~~wikipedia.org/w/index.php?title=Lagrangian_point Lagrangian Point on Wikipedia]</ref> can be applied:~~

	~~:<math>r \approx R \sqrt[3]{\frac{M_2}{3 M_1}}</math>~~

	where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.

	==Current missions using the Lagrangian points of the Earth-Sun system==		==Current missions using the Lagrangian points of the Earth-Sun system==

Spriditis: multiple vandalisms

2011-09-28T08:30:33Z

multiple vandalisms

← Older revision		Revision as of 09:30, 28 September 2011
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	where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.		where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.

	~~I literally jumped out~~ of ~~my chair~~ and ~~dnaecd after reading this!~~		==Current missions using the Lagrangian points of the Earth-Sun system==
			* '''<math>L_1</math>'''
			:*''[http://sohowww.nascom.nasa.gov/ The Solar and Heliospheric Observatory]'' (''SoHO'') - A multi-instrument observatory contantly observing the Sun.
			:*''[http://www.srl.caltech.edu/ACE/ Advanced Composition Explorer]'' (''ACE'') - An ''in-situ'' observatory measuring the properties of the [[solar wind]] and [[solar radiation]].

			* '''<math>L_2</math>'''
			:*''[http://map.gsfc.nasa.gov/ Wilkinson Microwave Anisotropy Probe]'' (''WMAP'') - Surveying the sky, observing the microwave radiation left over by the [[Big Bang]].


	==Objects observed in the Mars-Sun <math>L_4</math> and <math>L_5</math> points==		==Objects observed in the Mars-Sun <math>L_4</math> and <math>L_5</math> points==
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	*[http://en.wikipedia.org/wiki/List_of_objects_at_Lagrangian_points List of objects at Lagrangian points]		*[http://en.wikipedia.org/wiki/List_of_objects_at_Lagrangian_points List of objects at Lagrangian points]

	~~Could you write about Physics so I can pass Scecnie class?~~		===References:===
			<references/>

			[[category:orbital Mechanics]]
			[[category:physics]]

114.213.255.174: /* References: */

2011-09-27T21:53:00Z

References:

← Older revision		Revision as of 22:53, 27 September 2011
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	*[http://en.wikipedia.org/wiki/List_of_objects_at_Lagrangian_points List of objects at Lagrangian points]		*[http://en.wikipedia.org/wiki/List_of_objects_at_Lagrangian_points List of objects at Lagrangian points]

	~~===References:===~~		Could you write about Physics so I can pass Scecnie class?
	~~<references/>~~

	~~[[category:orbital Mechanics]]~~
	~~[[category:physics]]~~

149.204.236.9: /* Current missions using the Lagrangian points of the Earth-Sun system */

2011-09-27T12:12:56Z

Current missions using the Lagrangian points of the Earth-Sun system

← Older revision		Revision as of 13:12, 27 September 2011
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	where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.		where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.

	~~==Current missions using the Lagrangian points~~ of ~~the Earth-Sun system==~~		I literally jumped out of my chair and dnaecd after reading this!
	* '''<math>L_1</math>'''
	~~:*''[http://sohowww.nascom.nasa.gov/ The Solar~~ and ~~Heliospheric Observatory]'' (''SoHO'') - A multi-instrument observatory contantly observing the Sun.~~
	~~:*''[http://www.srl.caltech.edu/ACE/ Advanced Composition Explorer]'' (''ACE'') - An ''in-situ'' observatory measuring the properties of the [[solar wind]] and [[solar radiation]].~~

	* '''<math>L_2</math>'''
	~~:*''[http://map.gsfc.nasa.gov/ Wilkinson Microwave Anisotropy Probe]'' (''WMAP'') - Surveying the sky, observing the microwave radiation left over by the [[Big Bang]].~~


	==Objects observed in the Mars-Sun <math>L_4</math> and <math>L_5</math> points==		==Objects observed in the Mars-Sun <math>L_4</math> and <math>L_5</math> points==

Spriditis: Undo revision 5829 by 119.46.111.8 (Talk) vandalism

2011-09-27T05:44:33Z

Undo revision 5829 by 119.46.111.8 (Talk) vandalism

← Older revision		Revision as of 06:44, 27 September 2011
Line 12:		Line 12:
	'''<math>L_{4}</math>''' and '''<math>L_{5}</math>''' are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line. These points are also known as "Trojan points" where [[asteroids]] (known as ''Trojan asteroids'') become captured by the relative gravitational stability and orbit with the orbital body.		'''<math>L_{4}</math>''' and '''<math>L_{5}</math>''' are points leading and trailing the orbiting body at an angle of approximately 60° from the Earth-Sun line. These points are also known as "Trojan points" where [[asteroids]] (known as ''Trojan asteroids'') become captured by the relative gravitational stability and orbit with the orbital body.

	~~That saves me~~. ~~Thanks for being so senisble!~~		===Calculating the position of <math>L_1</math> and <math>L_2</math>===
			If the mass of the larger body is massively greater than that of the orbiting body (as is the case in the Earth, or Mars, around the larger Sun), the following equation<ref>[http://en.wikipedia.org/w/index.php?title=Lagrangian_point Lagrangian Point on Wikipedia]</ref> can be applied:

			:<math>r \approx R \sqrt[3]{\frac{M_2}{3 M_1}}</math>

			where <math>r</math> is the distance of <math>L_1</math> or <math>L_2</math> from the orbiting body, <math>R</math> is the distance between the bodies and <math>M_2</math> and <math>M_1</math> are the masses of the smaller and larger bodies respectively.

	==Current missions using the Lagrangian points of the Earth-Sun system==		==Current missions using the Lagrangian points of the Earth-Sun system==