Reactionless Thrust Station Keeping at L2 - Revision history

Farred: addition

2014-09-16T01:56:15Z

addition

Farred: addition

2014-09-13T18:03:14Z

addition

Farred: providing one and two word forms of station keeping to make article more identiffyable for internet searches

2012-04-29T19:17:40Z

providing one and two word forms of station keeping to make article more identiffyable for internet searches

Farred: adding link

2010-06-24T04:50:44Z

adding link

Farred: making reference available to those not logged in

2010-03-22T15:48:20Z

making reference available to those not logged in

Farred: reactionless thrust

2008-11-15T18:34:40Z

reactionless thrust

Farred: reactionless thrust

2008-11-15T00:54:06Z

reactionless thrust

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The L2 point is defined for two bodies in circular orbit about each other. The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model. Calculations <ref> calculations by Farred as to be shown in discussion </ref> put the Earth-Luna L2 point at 64500 km beyond Luna's center. If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna. If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 there is a balance of forces needed to adjust these masses and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward. This force results from a balance of the gravitational and centripetal forces. By combination with a pair of angular rate control wheels at L2 this can provide all of the station Keeping needed by a satellite at L2.
*Reference
<references/>
[[category:Infrastructures]]

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 * The [[GFDL:Lagrangian point|L2]] point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the stationkeeping needed by a satellite at L2.
-* In this concept there is no reaction mass expended from the station at L2, but there is a reaction in the moon to which the station is coupled by gravitational force.  The station keeping thrust results from the change in the strength of the gravitational coupling by changing the geometry of the station.
+* In this concept there is no reaction mass expended from the station at L2, but there is an immeasurably small reaction in the moon to which the station is coupled by gravitational force.  The station keeping thrust results from the change in the strength of the gravitational coupling by changing the geometry of the station.
 *Reference

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-The [[GFDL:Lagrangian point|L2]] point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the stationkeeping needed by a satellite at L2.
+* The [[GFDL:Lagrangian point|L2]] point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the stationkeeping needed by a satellite at L2.
 *Reference
 :1. calculations by Farred as shown in discussion section
 [[category:Infrastructures]]

@@ Line 1: / Line 1: @@
-The [[GFDL:Lagrangian point|L2]] point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the station keeping needed by a satellite at L2.
+The [[GFDL:Lagrangian point|L2]] point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the stationkeeping needed by a satellite at L2.
 *Reference
 :1. calculations by Farred as shown in discussion section
 [[category:Infrastructures]]

@@ Line 1: / Line 1: @@
-The L2 point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the station keeping needed by a satellite at L2.
+The [[GFDL:Lagrangian point|L2]] point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the station keeping needed by a satellite at L2.
 *Reference
 :1. calculations by Farred as shown in discussion section
 [[category:Infrastructures]]

@@ Line 1: / Line 1: @@
-The L2 point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations <ref> calculations by Farred as shown in discussion </ref> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the station keeping needed by a satellite at L2.
+The L2 point is defined for two bodies in circular orbit about each other.  The sun-Earth and Earth-Luna systems do not exactly match the definition, but they come close enough that the model is a useful model.  Calculations<sup>[1]</sup> put the Earth-Luna L2 point at 64500 km beyond Luna's center.  If masses are depended from this point along a line connecting the centers of mass of Luna and Earth, one depended away from Luna and one toward Luna, these masses can be adjusted to provide thrust toward or away from Luna.  If one mass is depended by tidal force to 5.25*10^7 meters from Luna's center and another depended by tidal force to 7.65*10^7 meters, then when these masses are both reeled in 2*10^6 meters toward L2 the forces needed to move the masses are balanced and the net acceleration on the system changes by an 8% of the previous acceleration on the depended masses directed upward.  This force results because the rate change of gravitational intensity per meter change in altitude is greater for the mass hung closer to Luna than it is for the mass hung farther from Luna.  By combination with a pair of angular rate control wheels at L2 this can provide all of the station keeping needed by a satellite at L2.
 *Reference
-<references/>
+:1. calculations by Farred as shown in discussion section
 [[category:Infrastructures]]