Difference between revisions of "Talk:Reactionless Thrust Station Keeping at L2"
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The following values may not all be very accurate, but they are internally self consistent. For the purpose of the article, that is sufficient. | The following values may not all be very accurate, but they are internally self consistent. For the purpose of the article, that is sufficient. | ||
| − | If you take the following values as given: | + | If you assume Earth and Luna to be in circular orbit about each other without gravitational effects from other bodies and take the following values as given: |
*Earth-Luna distance = 3.844006 times10^8 meters | *Earth-Luna distance = 3.844006 times10^8 meters | ||
*Luna-barycenter distance = 3.7973 times 10^8 meters | *Luna-barycenter distance = 3.7973 times 10^8 meters | ||
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= 7.390 times 10^-7 meters/second squared | = 7.390 times 10^-7 meters/second squared | ||
*which is close enough to 0 to call 6.45 times 10^7 meters beyond Luna L2 | *which is close enough to 0 to call 6.45 times 10^7 meters beyond Luna L2 | ||
| + | --[[User:Farred|Farred]] 18:42, 15 November 2008 (UTC) | ||
Latest revision as of 10:42, 15 November 2008
The following values may not all be very accurate, but they are internally self consistent. For the purpose of the article, that is sufficient. If you assume Earth and Luna to be in circular orbit about each other without gravitational effects from other bodies and take the following values as given:
- Earth-Luna distance = 3.844006 times10^8 meters
- Luna-barycenter distance = 3.7973 times 10^8 meters
- Earth radius = 6.3662 times 10^6 meters
- Luna radius = 1.728 times 10^6 meters
- gravity at Earth’s surface = 9.8088 meters/second squared
- gravity at lunar surface = 1.6375 meters/second squared
- Earth-Luna orbital period = 2.36055 times 10^6 seconds
- Earth-Luna angular velocity = 2.66175 times 10^-6 radians/second
- then: the acceleration toward Luna from a point along the line joining the centers of Earth and Luna at a distance of 6.45 times 10^7 meters beyond Luna is given by
(6.45 times 10^7 / 1.728 times 10^6)^-2 times 1.6375 meters/second squared +(4.489006 times 10^8 / 6.3662 times 10^6)^-2 times 9.8088 meters/second squared -4.4423 times 10^8 times (2.66175 times 10^-6)^2 meters/second squared = 7.390 times 10^-7 meters/second squared
- which is close enough to 0 to call 6.45 times 10^7 meters beyond Luna L2
--Farred 18:42, 15 November 2008 (UTC)
